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# Fourier Analysis of TBL (Timberland Company (The) Common)

TBL (Timberland Company (The) Common) appears to have interesting cyclic behaviour every 37 weeks (434.1391*cosine), 67 weeks (357.4611*cosine), and 35 weeks (285.627*cosine).

TBL (Timberland Company (The) Common) has an average price of 2,174.42 (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 11/27/2002 to 3/13/2017 for TBL (Timberland Company (The) Common), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
02,174.419   0
12,810.261 -2,186.296 (1*2π)/673673 weeks
2870.3224 -2,072.674 (2*2π)/673337 weeks
3170.1205 -1,472.856 (3*2π)/673224 weeks
44.18838 -1,141.02 (4*2π)/673168 weeks
538.67846 -1,156.114 (5*2π)/673135 weeks
6-294.1948 -1,209.272 (6*2π)/673112 weeks
7-612.4682 -870.5311 (7*2π)/67396 weeks
8-674.0798 -516.334 (8*2π)/67384 weeks
9-595.2775 -190.749 (9*2π)/67375 weeks
10-357.4611 1.81621 (10*2π)/67367 weeks
11-146.6058 16.43894 (11*2π)/67361 weeks
12-1.62773 -84.85626 (12*2π)/67356 weeks
13-6.58712 -220.6114 (13*2π)/67352 weeks
14-49.69231 -224.0478 (14*2π)/67348 weeks
15-44.57897 -240.6439 (15*2π)/67345 weeks
16-139.8092 -304.506 (16*2π)/67342 weeks
17-335.6196 -264.5876 (17*2π)/67340 weeks
18-434.1391 -63.9808 (18*2π)/67337 weeks
19-285.627 126.5944 (19*2π)/67335 weeks
20-64.6113 142.2432 (20*2π)/67334 weeks
2131.6418 39.77116 (21*2π)/67332 weeks
22-7.63164 -65.9348 (22*2π)/67331 weeks
23-84.29273 -120.9423 (23*2π)/67329 weeks
24-146.2824 -146.6908 (24*2π)/67328 weeks
25-209.7543 -118.0502 (25*2π)/67327 weeks
26-249.6277 -19.24696 (26*2π)/67326 weeks
27-241.6929 99.76244 (27*2π)/67325 weeks
28-184.3234 201.3513 (28*2π)/67324 weeks
29-66.63435 227.9403 (29*2π)/67323 weeks
3076.39697 181.2819 (30*2π)/67322 weeks
31184.3514 44.26117 (31*2π)/67322 weeks
32141.1351 -112.6614 (32*2π)/67321 weeks
33-25.26071 -171.7019 (33*2π)/67320 weeks
34-184.3767 -123.0918 (34*2π)/67320 weeks
35-252.3451 -13.82419 (35*2π)/67319 weeks
36-222.2354 119.5242 (36*2π)/67319 weeks
37-130.9253 228.0794 (37*2π)/67318 weeks
38-11.12676 287.0013 (38*2π)/67318 weeks
39118.5872 242.3031 (39*2π)/67317 weeks
40197.9403 108.2441 (40*2π)/67317 weeks
41211.9694 -20.85378 (41*2π)/67316 weeks
42148.2487 -137.744 (42*2π)/67316 weeks
434.13438 -186.3312 (43*2π)/67316 weeks
44-140.7159 -143.4451 (44*2π)/67315 weeks
45-225.7935 -15.04953 (45*2π)/67315 weeks
46-185.2605 139.6045 (46*2π)/67315 weeks
47-74.96011 224.2121 (47*2π)/67314 weeks
4842.56914 238.3355 (48*2π)/67314 weeks
49136.2314 175.7866 (49*2π)/67314 weeks
50179.5979 94.5904 (50*2π)/67313 weeks
51190.7976 -4.51771 (51*2π)/67313 weeks
52125.4804 -85.99123 (52*2π)/67313 weeks
5341.13651 -106.9279 (53*2π)/67313 weeks
54-46.98506 -92.36588 (54*2π)/67312 weeks
55-101.8108 -22.85585 (55*2π)/67312 weeks
56-100.1928 68.47691 (56*2π)/67312 weeks
57-57.62307 154.4244 (57*2π)/67312 weeks
5835.1094 174.4174 (58*2π)/67312 weeks
5998.18631 135.1072 (59*2π)/67311 weeks
60143.7819 91.661 (60*2π)/67311 weeks
61159.284 36.08726 (61*2π)/67311 weeks
62142.9945 .92005 (62*2π)/67311 weeks
63117.9933 -44.72869 (63*2π)/67311 weeks
6469.25698 -70.51444 (64*2π)/67311 weeks
6541.12146 -61.40033 (65*2π)/67310 weeks
661.62218 -30.71189 (66*2π)/67310 weeks
67-9.69957 18.15046 (67*2π)/67310 weeks
683.51196 50.72673 (68*2π)/67310 weeks
6941.68968 75.60663 (69*2π)/67310 weeks
7092.88889 68.52297 (70*2π)/67310 weeks
71119.0255 45.3735 (71*2π)/6739 weeks
72138.7968 16.12347 (72*2π)/6739 weeks
73131.0581 -30.08299 (73*2π)/6739 weeks
74109.9014 -54.71611 (74*2π)/6739 weeks
7570.45329 -78.14848 (75*2π)/6739 weeks
7636.12138 -59.38726 (76*2π)/6739 weeks
7730.99999 -29.6777 (77*2π)/6739 weeks
7837.4585 -1.11521 (78*2π)/6739 weeks
7963.99659 8.29705 (79*2π)/6739 weeks
8075.31181 -7.43557 (80*2π)/6738 weeks
8190.80766 -16.74785 (81*2π)/6738 weeks
8296.75534 -35.50696 (82*2π)/6738 weeks
8386.76329 -48.9007 (83*2π)/6738 weeks
8468.0268 -64.0789 (84*2π)/6738 weeks
8541.8709 -57.53135 (85*2π)/6738 weeks
8648.95448 -37.44453 (86*2π)/6738 weeks
8758.95825 -24.7443 (87*2π)/6738 weeks
8882.90949 -20.87542 (88*2π)/6738 weeks
8998.24098 -51.16773 (89*2π)/6738 weeks
9090.92384 -90.01978 (90*2π)/6737 weeks
9165.09237 -119.6335 (91*2π)/6737 weeks
9224.17684 -117.8035 (92*2π)/6737 weeks
93-4.99238 -86.34016 (93*2π)/6737 weeks
94-27.6609 -57.82711 (94*2π)/6737 weeks
95-27.88434 -21.76853 (95*2π)/6737 weeks
969.87679 6.04914 (96*2π)/6737 weeks
9767.08819 17.01892 (97*2π)/6737 weeks
98116.4609 -10.23287 (98*2π)/6737 weeks
99121.91 -65.70704 (99*2π)/6737 weeks
10092.0862 -133.7035 (100*2π)/6737 weeks
10144.78687 -167.4568 (101*2π)/6737 weeks
102-9.07091 -164.8065 (102*2π)/6737 weeks
103-68.50594 -118.5522 (103*2π)/6737 weeks
104-93.01972 -52.99266 (104*2π)/6736 weeks
105-72.38348 .81937 (105*2π)/6736 weeks
106-22.98854 33.23753 (106*2π)/6736 weeks
10736.36115 30.32312 (107*2π)/6736 weeks
10878.9837 1.45641 (108*2π)/6736 weeks
10999.98753 -47.18178 (109*2π)/6736 weeks
11083.95545 -101.9191 (110*2π)/6736 weeks
11143.42665 -128.3587 (111*2π)/6736 weeks
112-8.43202 -137.7468 (112*2π)/6736 weeks
113-51.84835 -122.8533 (113*2π)/6736 weeks
114-75.26055 -86.32127 (114*2π)/6736 weeks
115-73.77982 -31.67572 (115*2π)/6736 weeks
116-47.04848 5.47492 (116*2π)/6736 weeks
117-12.911 8.96011 (117*2π)/6736 weeks
1186.71526 -9.46802 (118*2π)/6736 weeks
11913.61583 -27.44483 (119*2π)/6736 weeks
12021.46208 -30.46671 (120*2π)/6736 weeks
12126.5489 -40.47889 (121*2π)/6736 weeks
12219.40287 -50.37407 (122*2π)/6736 weeks
1237.91546 -70.21521 (123*2π)/6735 weeks
124-11.67811 -77.43845 (124*2π)/6735 weeks
125-25.86869 -68.3785 (125*2π)/6735 weeks
126-37.13696 -57.31253 (126*2π)/6735 weeks
127-46.12849 -35.36002 (127*2π)/6735 weeks
128-47.41506 -27.13482 (128*2π)/6735 weeks
129-43.74889 -16.09062 (129*2π)/6735 weeks
130-30.75407 6.4958 (130*2π)/6735 weeks
131-12.91143 22.37528 (131*2π)/6735 weeks
13215.81756 17.61686 (132*2π)/6735 weeks
13337.03199 -14.98952 (133*2π)/6735 weeks
13444.69674 -39.93351 (134*2π)/6735 weeks
13529.21198 -57.5191 (135*2π)/6735 weeks
1364.02086 -70.80886 (136*2π)/6735 weeks
137-26.19115 -76.97852 (137*2π)/6735 weeks
138-53.63103 -69.36449 (138*2π)/6735 weeks
139-64.88572 -36.69307 (139*2π)/6735 weeks
140-66.11401 -.64613 (140*2π)/6735 weeks
141-54.79018 30.08587 (141*2π)/6735 weeks
142-25.34254 41.47913 (142*2π)/6735 weeks
14310.8377 42.91411 (143*2π)/6735 weeks
14443.13531 30.66963 (144*2π)/6735 weeks
14557.77005 .8148 (145*2π)/6735 weeks
14658.71328 -29.93316 (146*2π)/6735 weeks
14748.03169 -67.79582 (147*2π)/6735 weeks
14815.90033 -88.9379 (148*2π)/6735 weeks
149-28.33252 -91.69456 (149*2π)/6735 weeks
150-73.03665 -64.78767 (150*2π)/6734 weeks
151-92.75109 -18.42834 (151*2π)/6734 weeks
152-84.3495 27.63311 (152*2π)/6734 weeks
153-49.11799 67.2446 (153*2π)/6734 weeks
1544.53382 94.3242 (154*2π)/6734 weeks
15559.77718 86.0557 (155*2π)/6734 weeks
156102.8985 41.57862 (156*2π)/6734 weeks
157118.7851 -29.34033 (157*2π)/6734 weeks
158101.9184 -96.28625 (158*2π)/6734 weeks
15950.40519 -130.1825 (159*2π)/6734 weeks
160-29.53475 -132.827 (160*2π)/6734 weeks
161-100.415 -85.70436 (161*2π)/6734 weeks
162-125.4661 -16.46021 (162*2π)/6734 weeks
163-98.46108 58.4665 (163*2π)/6734 weeks
164-30.02512 106.2419 (164*2π)/6734 weeks
16543.67086 116.0846 (165*2π)/6734 weeks
166112.3842 84.07898 (166*2π)/6734 weeks
167152.7234 11.53551 (167*2π)/6734 weeks
168147.098 -71.17329 (168*2π)/6734 weeks
16994.77561 -138.4088 (169*2π)/6734 weeks
17016.35002 -158.1095 (170*2π)/6734 weeks
171-48.72818 -127.5881 (171*2π)/6734 weeks
172-100.6536 -67.38955 (172*2π)/6734 weeks
173-96.99568 2.4151 (173*2π)/6734 weeks
174-60.62389 49.96699 (174*2π)/6734 weeks
1757.38624 80.54595 (175*2π)/6734 weeks
17666.37907 66.60617 (176*2π)/6734 weeks
177103.2526 31.96069 (177*2π)/6734 weeks
178126.5872 -35.98426 (178*2π)/6734 weeks
179105.7998 -98.82289 (179*2π)/6734 weeks
18065.62539 -133.6401 (180*2π)/6734 weeks
181.83033 -136.4909 (181*2π)/6734 weeks
182-46.19963 -101.6713 (182*2π)/6734 weeks
183-70.04546 -74.77267 (183*2π)/6734 weeks
184-70.66151 -32.61467 (184*2π)/6734 weeks
185-44.80718 4.11671 (185*2π)/6734 weeks
186-15.23308 33.0504 (186*2π)/6734 weeks
18728.76337 38.67831 (187*2π)/6734 weeks
18853.88882 14.25865 (188*2π)/6734 weeks
18978.06456 -28.85203 (189*2π)/6734 weeks
19082.6031 -74.15973 (190*2π)/6734 weeks
19167.94807 -102.2714 (191*2π)/6734 weeks
19228.30697 -115.1772 (192*2π)/6734 weeks
193-23.89948 -114.6361 (193*2π)/6733 weeks
194-61.68736 -105.9022 (194*2π)/6733 weeks
195-77.81527 -81.03301 (195*2π)/6733 weeks
196-73.65123 -31.54624 (196*2π)/6733 weeks
197-50.27021 16.67517 (197*2π)/6733 weeks
198-15.16492 39.29526 (198*2π)/6733 weeks
19921.69569 25.91166 (199*2π)/6733 weeks
20052.64097 -11.91498 (200*2π)/6733 weeks
20168.09206 -46.90142 (201*2π)/6733 weeks
20265.77322 -88.01618 (202*2π)/6733 weeks
20332.46568 -111.7068 (203*2π)/6733 weeks
204-10.77196 -122.2868 (204*2π)/6733 weeks
205-57.99179 -113.2401 (205*2π)/6733 weeks
206-87.56409 -86.80525 (206*2π)/6733 weeks
207-89.87552 -45.85201 (207*2π)/6733 weeks
208-76.61031 2.94627 (208*2π)/6733 weeks
209-41.8104 25.30999 (209*2π)/6733 weeks
210-5.77697 28.38073 (210*2π)/6733 weeks
21127.33951 4.3619 (211*2π)/6733 weeks
21245.53755 -23.52537 (212*2π)/6733 weeks
21350.34698 -54.56163 (213*2π)/6733 weeks
21433.7072 -91.58908 (214*2π)/6733 weeks
2151.16074 -117.9172 (215*2π)/6733 weeks
216-41.80622 -114.1341 (216*2π)/6733 weeks
217-76.21504 -91.36811 (217*2π)/6733 weeks
218-96.64893 -55.61102 (218*2π)/6733 weeks
219-96.54993 -21.19545 (219*2π)/6733 weeks
220-74.93874 12.19965 (220*2π)/6733 weeks
221-36.43204 32.74321 (221*2π)/6733 weeks
2222.32175 35.48667 (222*2π)/6733 weeks
22340.7966 9.21815 (223*2π)/6733 weeks
22458.99884 -34.10797 (224*2π)/6733 weeks
22544.54508 -83.19197 (225*2π)/6733 weeks
2264.42538 -124.9416 (226*2π)/6733 weeks
227-49.64151 -135.3477 (227*2π)/6733 weeks
228-93.6135 -107.2043 (228*2π)/6733 weeks
229-121.8836 -55.97371 (229*2π)/6733 weeks
230-125.205 3.22984 (230*2π)/6733 weeks
231-98.56234 46.83789 (231*2π)/6733 weeks
232-48.56597 64.64828 (232*2π)/6733 weeks
23318.3325 48.22036 (233*2π)/6733 weeks
23460.64639 7.99516 (234*2π)/6733 weeks
23567.36761 -43.76849 (235*2π)/6733 weeks
23627.73169 -91.5017 (236*2π)/6733 weeks
237-32.36942 -117.2742 (237*2π)/6733 weeks
238-86.74149 -115.3455 (238*2π)/6733 weeks
239-116.2372 -76.64034 (239*2π)/6733 weeks
240-115.769 -11.03431 (240*2π)/6733 weeks
241-98.07944 46.53156 (241*2π)/6733 weeks
242-64.72629 72.31673 (242*2π)/6733 weeks
243-17.13211 53.06048 (243*2π)/6733 weeks
24425.79242 16.12831 (244*2π)/6733 weeks
24550.96462 -21.19064 (245*2π)/6733 weeks
24628.21166 -52.07148 (246*2π)/6733 weeks
247-16.82517 -68.30683 (247*2π)/6733 weeks
248-61.50108 -73.10958 (248*2π)/6733 weeks
249-84.61254 -51.66317 (249*2π)/6733 weeks
250-79.65728 -20.49256 (250*2π)/6733 weeks
251-72.68835 10.85249 (251*2π)/6733 weeks
252-51.93768 36.33523 (252*2π)/6733 weeks
253-32.35152 39.0104 (253*2π)/6733 weeks
254-9.75829 27.27222 (254*2π)/6733 weeks
25510.86537 2.61544 (255*2π)/6733 weeks
25612.50404 -17.1803 (256*2π)/6733 weeks
2572.01137 -35.15543 (257*2π)/6733 weeks
258-29.89039 -43.7852 (258*2π)/6733 weeks
259-43.87944 -32.10492 (259*2π)/6733 weeks
260-51.53771 -19.56491 (260*2π)/6733 weeks
261-45.93329 1.99855 (261*2π)/6733 weeks
262-42.46633 11.94795 (262*2π)/6733 weeks
263-39.5904 17.52374 (263*2π)/6733 weeks
264-11.46705 16.38224 (264*2π)/6733 weeks
2656.46045 8.55564 (265*2π)/6733 weeks
26616.81165 -1.45596 (266*2π)/6733 weeks
267.6884 -16.55276 (267*2π)/6733 weeks
268-15.66051 -28.1557 (268*2π)/6733 weeks
269-18.76731 -39.24323 (269*2π)/6733 weeks
270-30.35283 -31.24448 (270*2π)/6732 weeks
271-26.66413 -14.28569 (271*2π)/6732 weeks
272-35.00728 -.94265 (272*2π)/6732 weeks
273-33.44298 10.43886 (273*2π)/6732 weeks
274-23.99413 4.00773 (274*2π)/6732 weeks
275-6.49288 .05036 (275*2π)/6732 weeks
27617.09792 -13.32811 (276*2π)/6732 weeks
2778.07314 -22.31535 (277*2π)/6732 weeks
278-8.42921 -23.2275 (278*2π)/6732 weeks
279-26.81253 -33.78995 (279*2π)/6732 weeks
280-32.69258 -30.54027 (280*2π)/6732 weeks
281-26.64167 -31.97752 (281*2π)/6732 weeks
282-31.87827 -11.71375 (282*2π)/6732 weeks
283-24.45983 5.32115 (283*2π)/6732 weeks
284-16.18256 -.01435 (284*2π)/6732 weeks
285-2.79706 -5.89301 (285*2π)/6732 weeks
286-1.57912 -30.7573 (286*2π)/6732 weeks
287-9.30308 -31.13943 (287*2π)/6732 weeks
288-19.59176 -37.96191 (288*2π)/6732 weeks
289-31.08224 -30.49334 (289*2π)/6732 weeks
290-28.81407 -17.6132 (290*2π)/6732 weeks
291-31.62594 -15.87727 (291*2π)/6732 weeks
292-26.31465 -14.25906 (292*2π)/6732 weeks
293-23.77778 -22.90773 (293*2π)/6732 weeks
294-23.83058 -16.20578 (294*2π)/6732 weeks
295-16.67547 -19.45461 (295*2π)/6732 weeks
296-22.72414 -22.12453 (296*2π)/6732 weeks
297-24.6708 -20.22508 (297*2π)/6732 weeks
298-33.83328 -19.21809 (298*2π)/6732 weeks
299-27.93328 -10.76036 (299*2π)/6732 weeks
300-12.02081 -20.66055 (300*2π)/6732 weeks
301-11.58838 -27.58104 (301*2π)/6732 weeks
302-9.8749 -30.95568 (302*2π)/6732 weeks
303-30.3202 -42.37426 (303*2π)/6732 weeks
304-50.83982 -37.67619 (304*2π)/6732 weeks
305-58.07139 -37.21865 (305*2π)/6732 weeks
306-59.19377 -11.44848 (306*2π)/6732 weeks
307-39.13663 6.87381 (307*2π)/6732 weeks
308-33.13886 14.32675 (308*2π)/6732 weeks
309-9.80562 14.11906 (309*2π)/6732 weeks
310-.2114 -14.90481 (310*2π)/6732 weeks
3117.65179 -33.49125 (311*2π)/6732 weeks
312-5.47987 -65.5864 (312*2π)/6732 weeks
313-40.62527 -64.79823 (313*2π)/6732 weeks
314-63.4256 -52.26578 (314*2π)/6732 weeks
315-90.05208 -31.45218 (315*2π)/6732 weeks
316-83.83118 -4.48121 (316*2π)/6732 weeks
317-67.67845 16.95827 (317*2π)/6732 weeks
318-38.81786 42.67936 (318*2π)/6732 weeks
319-2.99213 24.06991 (319*2π)/6732 weeks
3204.06517 1.71808 (320*2π)/6732 weeks
32119.12613 -35.30461 (321*2π)/6732 weeks
322-8.14166 -66.96572 (322*2π)/6732 weeks
323-39.01896 -67.84933 (323*2π)/6732 weeks
324-83.12444 -68.60299 (324*2π)/6732 weeks
325-106.1211 -35.28748 (325*2π)/6732 weeks
326-97.27702 -3.75773 (326*2π)/6732 weeks
327-89.64922 33.88523 (327*2π)/6732 weeks
328-56.48309 54.91248 (328*2π)/6732 weeks
329-31.85887 41.08493 (329*2π)/6732 weeks
3302.66417 24.96813 (330*2π)/6732 weeks
33117.02473 -14.58565 (331*2π)/6732 weeks
332-1.76303 -33.62641 (332*2π)/6732 weeks
333-25.61779 -53.69268 (333*2π)/6732 weeks
334-65.42435 -61.07885 (334*2π)/6732 weeks
335-85.95838 -45.53477 (335*2π)/6732 weeks
336-101.3673 -22.2505 (336*2π)/6732 weeks
337-101.3673 22.2505 (337*2π)/6732 weeks
338-85.95838 45.53477 (338*2π)/6732 weeks
339-65.42435 61.07885 (339*2π)/6732 weeks
340-25.61779 53.69268 (340*2π)/6732 weeks
341-1.76303 33.62641 (341*2π)/6732 weeks
34217.02473 14.58565 (342*2π)/6732 weeks
3432.66417 -24.96813 (343*2π)/6732 weeks
344-31.85887 -41.08493 (344*2π)/6732 weeks
345-56.48309 -54.91248 (345*2π)/6732 weeks
346-89.64922 -33.88523 (346*2π)/6732 weeks
347-97.27702 3.75773 (347*2π)/6732 weeks
348-106.1211 35.28748 (348*2π)/6732 weeks
349-83.12444 68.60299 (349*2π)/6732 weeks
350-39.01896 67.84933 (350*2π)/6732 weeks
351-8.14166 66.96572 (351*2π)/6732 weeks
35219.12613 35.30461 (352*2π)/6732 weeks
3534.06517 -1.71808 (353*2π)/6732 weeks
354-2.99213 -24.06991 (354*2π)/6732 weeks
355-38.81786 -42.67936 (355*2π)/6732 weeks
356-67.67845 -16.95827 (356*2π)/6732 weeks
357-83.83118 4.48121 (357*2π)/6732 weeks
358-90.05208 31.45218 (358*2π)/6732 weeks
359-63.4256 52.26578 (359*2π)/6732 weeks
360-40.62527 64.79823 (360*2π)/6732 weeks
361-5.47987 65.5864 (361*2π)/6732 weeks
3627.65179 33.49125 (362*2π)/6732 weeks
363-.2114 14.90481 (363*2π)/6732 weeks
364-9.80562 -14.11906 (364*2π)/6732 weeks
365-33.13886 -14.32675 (365*2π)/6732 weeks
366-39.13663 -6.87381 (366*2π)/6732 weeks
367-59.19377 11.44848 (367*2π)/6732 weeks
368-58.07139 37.21865 (368*2π)/6732 weeks
369-50.83982 37.67619 (369*2π)/6732 weeks
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666-612.4682 870.5311 (666*2π)/6731 weeks
667-294.1948 1,209.272 (667*2π)/6731 weeks
66838.67846 1,156.114 (668*2π)/6731 weeks
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670170.1205 1,472.856 (670*2π)/6731 weeks
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