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# Fourier Analysis of TOPS (TOP Ships Inc.)

TOPS (TOP Ships Inc.) appears to have interesting cyclic behaviour every 66 weeks (1410.374*sine), 60 weeks (965.6011*sine), and 60 weeks (595.3568*cosine).

TOPS (TOP Ships Inc.) has an average price of 5,992.48 (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 8/2/2004 to 3/20/2017 for TOPS (TOP Ships Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
05,992.479   0
17,376.8 6,688.421 (1*2π)/660660 weeks
22,016.135 6,224.213 (2*2π)/660330 weeks
3475.3902 3,977.916 (3*2π)/660220 weeks
4422.1059 3,364.806 (4*2π)/660165 weeks
5-628.2711 3,020.871 (5*2π)/660132 weeks
6-1,089.577 1,688.652 (6*2π)/660110 weeks
7-407.6183 793.2147 (7*2π)/66094 weeks
8235.8024 977.7604 (8*2π)/66083 weeks
9123.9686 1,346.97 (9*2π)/66073 weeks
10-285.9724 1,410.374 (10*2π)/66066 weeks
11-595.3568 965.6011 (11*2π)/66060 weeks
12-378.0426 609.2584 (12*2π)/66055 weeks
13-211.6389 698.6272 (13*2π)/66051 weeks
14-499.1628 643.4722 (14*2π)/66047 weeks
15-352.557 152.3488 (15*2π)/66044 weeks
16112.0007 242.0864 (16*2π)/66041 weeks
17129.6198 611.7159 (17*2π)/66039 weeks
18-234.072 731.557 (18*2π)/66037 weeks
19-456.5313 416.7684 (19*2π)/66035 weeks
20-310.1561 157.4282 (20*2π)/66033 weeks
21-143.0585 101.9826 (21*2π)/66031 weeks
22-11.01584 95.85625 (22*2π)/66030 weeks
23134.0644 198.0095 (23*2π)/66029 weeks
24110.7017 389.8378 (24*2π)/66028 weeks
25-28.04585 439.6171 (25*2π)/66026 weeks
26-130.0255 432.5327 (26*2π)/66025 weeks
27-249.2966 360.7597 (27*2π)/66024 weeks
28-294.7106 239.8672 (28*2π)/66024 weeks
29-286.5313 70.33852 (29*2π)/66023 weeks
30-102.3116 -34.62857 (30*2π)/66022 weeks
3147.3083 102.8343 (31*2π)/66021 weeks
32-75.95636 235.3034 (32*2π)/66021 weeks
33-175.8815 117.5922 (33*2π)/66020 weeks
34-120.4074 49.48849 (34*2π)/66019 weeks
35-105.6701 42.98225 (35*2π)/66019 weeks
36-108.5318 -14.27731 (36*2π)/66018 weeks
37-78.39555 -74.44257 (37*2π)/66018 weeks
3819.94656 -180.9212 (38*2π)/66017 weeks
39275.9442 -143.387 (39*2π)/66017 weeks
40332.5404 173.6353 (40*2π)/66017 weeks
4160.63959 290.5171 (41*2π)/66016 weeks
42-58.79461 96.83311 (42*2π)/66016 weeks
4377.15805 -1.94947 (43*2π)/66015 weeks
44137.3544 81.83004 (44*2π)/66015 weeks
45107.3558 102.4061 (45*2π)/66015 weeks
46146.1318 74.37913 (46*2π)/66014 weeks
47222.158 157.205 (47*2π)/66014 weeks
48182.8609 297.7165 (48*2π)/66014 weeks
4921.97951 371.1996 (49*2π)/66013 weeks
50-141.0002 277.7416 (50*2π)/66013 weeks
51-155.7315 114.5513 (51*2π)/66013 weeks
52-59.14185 41.6235 (52*2π)/66013 weeks
53-18.48767 65.57442 (53*2π)/66012 weeks
54-7.22596 40.4693 (54*2π)/66012 weeks
5577.25995 43.73272 (55*2π)/66012 weeks
56106.5971 171.24 (56*2π)/66012 weeks
57-37.49207 259.4991 (57*2π)/66012 weeks
58-198.1426 152.8848 (58*2π)/66011 weeks
59-172.0284 -37.10731 (59*2π)/66011 weeks
60-33.9412 -87.94675 (60*2π)/66011 weeks
6130.53472 -34.8023 (61*2π)/66011 weeks
6225.93531 -10.76546 (62*2π)/66011 weeks
6340.46135 -18.40041 (63*2π)/66010 weeks
6465.23981 3.41353 (64*2π)/66010 weeks
6532.86993 37.97093 (65*2π)/66010 weeks
66-23.16518 -25.17355 (66*2π)/66010 weeks
6760.37221 -116.0023 (67*2π)/66010 weeks
68158.8782 -72.78406 (68*2π)/66010 weeks
69181.207 -15.56504 (69*2π)/66010 weeks
70203.4978 28.61815 (70*2π)/6609 weeks
71186.3219 100.6305 (71*2π)/6609 weeks
72131.7291 127.5224 (72*2π)/6609 weeks
7386.44253 128.7754 (73*2π)/6609 weeks
7420.95156 89.43921 (74*2π)/6609 weeks
7542.8218 -18.29794 (75*2π)/6609 weeks
76155.2043 -37.13492 (76*2π)/6609 weeks
77221.4424 28.78378 (77*2π)/6609 weeks
78242.5408 104.1705 (78*2π)/6608 weeks
79216.0427 196.4 (79*2π)/6608 weeks
80132.9404 240.7361 (80*2π)/6608 weeks
8148.14218 219.1348 (81*2π)/6608 weeks
8229.4609 159.8187 (82*2π)/6608 weeks
8335.13161 147.0478 (83*2π)/6608 weeks
8418.44463 116.4019 (84*2π)/6608 weeks
8570.07155 73.12682 (85*2π)/6608 weeks
86132.2601 148.6815 (86*2π)/6608 weeks
8745.10779 228.1765 (87*2π)/6608 weeks
88-38.5909 163.1207 (88*2π)/6608 weeks
89-22.91176 100.1547 (89*2π)/6607 weeks
907.43652 75.95343 (90*2π)/6607 weeks
9135.4968 83.2049 (91*2π)/6607 weeks
9237.56542 81.64666 (92*2π)/6607 weeks
9377.06931 83.68875 (93*2π)/6607 weeks
9495.76642 141.0215 (94*2π)/6607 weeks
9550.42753 197.6692 (95*2π)/6607 weeks
96-22.08696 192.4511 (96*2π)/6607 weeks
97-61.5268 149.593 (97*2π)/6607 weeks
98-65.87263 88.61929 (98*2π)/6607 weeks
99-14.8685 65.78527 (99*2π)/6607 weeks
100-1.14292 101.5297 (100*2π)/6607 weeks
101-34.27381 104.5072 (101*2π)/6607 weeks
102-33.16386 73.08663 (102*2π)/6606 weeks
103-6.60541 84.22935 (103*2π)/6606 weeks
104-42.2509 126.9799 (104*2π)/6606 weeks
105-116.4731 78.93181 (105*2π)/6606 weeks
106-97.86697 -19.99976 (106*2π)/6606 weeks
107-7.39294 -36.33635 (107*2π)/6606 weeks
10819.0781 12.67171 (108*2π)/6606 weeks
1091.17423 31.10056 (109*2π)/6606 weeks
110-9.25481 15.98158 (110*2π)/6606 weeks
1118.82796 8.94325 (111*2π)/6606 weeks
11211.70544 24.75949 (112*2π)/6606 weeks
113-15.18645 13.5576 (113*2π)/6606 weeks
1148.27587 -33.98512 (114*2π)/6606 weeks
11566.96762 -19.83599 (115*2π)/6606 weeks
11676.13858 27.53568 (116*2π)/6606 weeks
11751.89172 53.60869 (117*2π)/6606 weeks
11825.96913 44.31763 (118*2π)/6606 weeks
11926.15178 33.47611 (119*2π)/6606 weeks
12030.43161 22.28296 (120*2π)/6606 weeks
12139.14208 22.03148 (121*2π)/6605 weeks
12251.37112 23.3328 (122*2π)/6605 weeks
12354.16889 40.29097 (123*2π)/6605 weeks
12453.24687 42.48091 (124*2π)/6605 weeks
12551.34485 61.53265 (125*2π)/6605 weeks
12623.68247 69.21834 (126*2π)/6605 weeks
1276.59854 40.82036 (127*2π)/6605 weeks
12829.7342 25.27525 (128*2π)/6605 weeks
12935.23472 41.43038 (129*2π)/6605 weeks
13020.92892 33.60685 (130*2π)/6605 weeks
13139.3349 20.55532 (131*2π)/6605 weeks
13252.90709 33.93123 (132*2π)/6605 weeks
13357.40488 55.72901 (133*2π)/6605 weeks
13424.65325 76.45115 (134*2π)/6605 weeks
135-1.03938 42.52163 (135*2π)/6605 weeks
13624.59554 22.43624 (136*2π)/6605 weeks
13732.09207 42.21016 (137*2π)/6605 weeks
1388.96637 30.98888 (138*2π)/6605 weeks
13934.51989 -.37146 (139*2π)/6605 weeks
14076.67573 24.74141 (140*2π)/6605 weeks
14168.86776 75.72793 (141*2π)/6605 weeks
14223.82924 86.52655 (142*2π)/6605 weeks
1432.88478 68.29631 (143*2π)/6605 weeks
144-3.50481 57.99768 (144*2π)/6605 weeks
145-14.85188 44.96035 (145*2π)/6605 weeks
146-17.96095 29.42237 (146*2π)/6605 weeks
147-24.19582 7.26818 (147*2π)/6604 weeks
1485.0769 -27.88558 (148*2π)/6604 weeks
14948.25894 -.74657 (149*2π)/6604 weeks
15016.72931 32.68557 (150*2π)/6604 weeks
151-8.14129 -9.72185 (151*2π)/6604 weeks
15240.34051 -41.46055 (152*2π)/6604 weeks
15374.8676 4.63743 (153*2π)/6604 weeks
15434.51996 28.71505 (154*2π)/6604 weeks
15527.96901 -15.79496 (155*2π)/6604 weeks
15673.51471 -11.40029 (156*2π)/6604 weeks
15770.1054 25.95577 (157*2π)/6604 weeks
15842.54258 19.84556 (158*2π)/6604 weeks
15959.44608 -4.31773 (159*2π)/6604 weeks
16082.68605 15.59826 (160*2π)/6604 weeks
16175.2149 38.50099 (161*2π)/6604 weeks
16253.17202 38.08034 (162*2π)/6604 weeks
16358.9166 16.09696 (163*2π)/6604 weeks
16489.29561 24.93666 (164*2π)/6604 weeks
16588.64665 67.01463 (165*2π)/6604 weeks
16648.37597 77.92381 (166*2π)/6604 weeks
16733.75003 56.81622 (167*2π)/6604 weeks
16831.997 51.33807 (168*2π)/6604 weeks
16921.48113 33.05313 (169*2π)/6604 weeks
17042.38895 8.77917 (170*2π)/6604 weeks
17173.83988 13.21667 (171*2π)/6604 weeks
172100.0343 39.92231 (172*2π)/6604 weeks
17393.45183 87.03292 (173*2π)/6604 weeks
17453.31171 108.5298 (174*2π)/6604 weeks
17519.75672 94.28548 (175*2π)/6604 weeks
17615.95538 72.44242 (176*2π)/6604 weeks
17719.8239 71.21259 (177*2π)/6604 weeks
1789.14256 73.73407 (178*2π)/6604 weeks
1792.44278 54.34791 (179*2π)/6604 weeks
18023.79244 50.17256 (180*2π)/6604 weeks
18126.31565 80.68433 (181*2π)/6604 weeks
182-8.97403 96.47976 (182*2π)/6604 weeks
183-45.14648 81.57378 (183*2π)/6604 weeks
184-76.35216 41.10516 (184*2π)/6604 weeks
185-58.31277 -21.02082 (185*2π)/6604 weeks
186-3.56597 -32.74544 (186*2π)/6604 weeks
18721.66608 -16.81421 (187*2π)/6604 weeks
18837.0022 8.28548 (188*2π)/6604 weeks
18920.94307 37.5584 (189*2π)/6603 weeks
190-12.69733 29.43852 (190*2π)/6603 weeks
191-14.78379 4.94791 (191*2π)/6603 weeks
192-18.43363 -6.95968 (192*2π)/6603 weeks
193-11.24531 -41.5199 (193*2π)/6603 weeks
19434.95191 -59.34954 (194*2π)/6603 weeks
19578.69936 -23.97902 (195*2π)/6603 weeks
19659.42642 24.45064 (196*2π)/6603 weeks
19721.34127 14.77211 (197*2π)/6603 weeks
19830.00443 -11.64059 (198*2π)/6603 weeks
19942.13069 -6.99026 (199*2π)/6603 weeks
20039.21982 -14.72687 (200*2π)/6603 weeks
20164.6487 -27.858 (201*2π)/6603 weeks
20297.7582 -8.30884 (202*2π)/6603 weeks
203109.6397 32.49452 (203*2π)/6603 weeks
20489.0713 84.39832 (204*2π)/6603 weeks
20517.08628 97.70195 (205*2π)/6603 weeks
206-20.69719 38.71087 (206*2π)/6603 weeks
2075.70955 -3.07942 (207*2π)/6603 weeks
20829.91694 -4.32263 (208*2π)/6603 weeks
20941.50005 -11.3796 (209*2π)/6603 weeks
21079.38542 -9.01651 (210*2π)/6603 weeks
21198.17855 38.34824 (211*2π)/6603 weeks
21264.90542 79.88136 (212*2π)/6603 weeks
21323.26374 70.32409 (213*2π)/6603 weeks
21418.79829 50.57444 (214*2π)/6603 weeks
2159.92796 51.17828 (215*2π)/6603 weeks
216-4.1987 31.40609 (216*2π)/6603 weeks
21710.64874 8.982 (217*2π)/6603 weeks
21827.61034 14.8542 (218*2π)/6603 weeks
21925.55924 20.87495 (219*2π)/6603 weeks
22027.36567 22.20421 (220*2π)/6603 weeks
22123.30046 24.34683 (221*2π)/6603 weeks
22218.30347 23.04504 (222*2π)/6603 weeks
22313.27856 12.04086 (223*2π)/6603 weeks
22427.39467 -.8799 (224*2π)/6603 weeks
22544.98842 11.12725 (225*2π)/6603 weeks
22634.60553 27.42903 (226*2π)/6603 weeks
22728.11542 15.91961 (227*2π)/6603 weeks
22842.3651 18.58246 (228*2π)/6603 weeks
22936.30984 37.11857 (229*2π)/6603 weeks
23014.48887 35.55402 (230*2π)/6603 weeks
2319.92761 13.14762 (231*2π)/6603 weeks
23228.36755 3.30979 (232*2π)/6603 weeks
23340.56201 15.68166 (233*2π)/6603 weeks
23435.85934 27.94252 (234*2π)/6603 weeks
23527.38762 28.58362 (235*2π)/6603 weeks
23629.43396 27.1004 (236*2π)/6603 weeks
23726.62982 41.71681 (237*2π)/6603 weeks
238-6.09926 47.8936 (238*2π)/6603 weeks
239-27.30426 4.95275 (239*2π)/6603 weeks
2404.7136 -25.68298 (240*2π)/6603 weeks
24129.69343 -17.3935 (241*2π)/6603 weeks
24238.81097 -11.95383 (242*2π)/6603 weeks
24355.80796 1.0396 (243*2π)/6603 weeks
24448.64916 27.32966 (244*2π)/6603 weeks
24523.23103 29.32524 (245*2π)/6603 weeks
24617.10823 8.02909 (246*2π)/6603 weeks
24729.74741 .06612 (247*2π)/6603 weeks
24841.62416 -3.17633 (248*2π)/6603 weeks
24965.19932 5.52796 (249*2π)/6603 weeks
25073.91892 47.57181 (250*2π)/6603 weeks
25130.55419 78.41134 (251*2π)/6603 weeks
252-9.14606 53.47602 (252*2π)/6603 weeks
253-8.46247 26.81309 (253*2π)/6603 weeks
254-3.19659 20.00772 (254*2π)/6603 weeks
255-6.34903 13.13868 (255*2π)/6603 weeks
256-6.46597 -2.04796 (256*2π)/6603 weeks
25711.62229 -16.35428 (257*2π)/6603 weeks
25838.48637 -1.3588 (258*2π)/6603 weeks
25925.5019 31.69753 (259*2π)/6603 weeks
260-10.86607 25.02301 (260*2π)/6603 weeks
261-14.78953 -7.09401 (261*2π)/6603 weeks
2623.54121 -19.27122 (262*2π)/6603 weeks
2638.9604 -15.91536 (263*2π)/6603 weeks
26411.08829 -26.51839 (264*2π)/6603 weeks
26529.97629 -28.07024 (265*2π)/6602 weeks
26635.73509 -17.66677 (266*2π)/6602 weeks
26735.52971 -11.78561 (267*2π)/6602 weeks
26833.25562 -14.19342 (268*2π)/6602 weeks
26945.20309 -16.41812 (269*2π)/6602 weeks
27054.27593 .79448 (270*2π)/6602 weeks
27138.86493 20.14262 (271*2π)/6602 weeks
27214.51605 9.23397 (272*2π)/6602 weeks
27319.73454 -13.78707 (273*2π)/6602 weeks
27442.01421 -11.44315 (274*2π)/6602 weeks
27534.53976 14.63878 (275*2π)/6602 weeks
2767.47177 3.14119 (276*2π)/6602 weeks
27710.3603 -21.35261 (277*2π)/6602 weeks
27820.03746 -25.89245 (278*2π)/6602 weeks
27924.30125 -43.80756 (279*2π)/6602 weeks
28052.9747 -47.90772 (280*2π)/6602 weeks
28167.07774 -38.47422 (281*2π)/6602 weeks
28284.86697 -28.57717 (282*2π)/6602 weeks
28392.85567 1.91046 (283*2π)/6602 weeks
28467.09612 15.46536 (284*2π)/6602 weeks
28564.67571 .0394 (285*2π)/6602 weeks
28681.71916 3.42462 (286*2π)/6602 weeks
28785.4578 25.74893 (287*2π)/6602 weeks
28874.38192 38.22249 (288*2π)/6602 weeks
28965.22304 47.7169 (289*2π)/6602 weeks
29051.80925 52.06663 (290*2π)/6602 weeks
29138.18323 55.49003 (291*2π)/6602 weeks
29219.99182 47.34772 (292*2π)/6602 weeks
29318.09958 30.74511 (293*2π)/6602 weeks
29423.25113 27.89342 (294*2π)/6602 weeks
29521.47557 25.49514 (295*2π)/6602 weeks
29627.90278 25.21372 (296*2π)/6602 weeks
29722.49282 34.79347 (297*2π)/6602 weeks
2989.2631 37.70307 (298*2π)/6602 weeks
299-11.15642 25.6202 (299*2π)/6602 weeks
300-8.11368 -5.64206 (300*2π)/6602 weeks
30114.97042 -9.17077 (301*2π)/6602 weeks
30213.81446 -1.53705 (302*2π)/6602 weeks
30316.37936 -15.70326 (303*2π)/6602 weeks
30440.05513 -17.3953 (304*2π)/6602 weeks
30546.81617 13.04495 (305*2π)/6602 weeks
30618.57976 16.6283 (306*2π)/6602 weeks
30718.07856 -6.08373 (307*2π)/6602 weeks
30839.71016 -8.07207 (308*2π)/6602 weeks
30945.03993 17.49548 (309*2π)/6602 weeks
31016.61225 27.31727 (310*2π)/6602 weeks
3112.96817 .41419 (311*2π)/6602 weeks
31222.31384 -16.13863 (312*2π)/6602 weeks
31342.39636 -1.81692 (313*2π)/6602 weeks
31425.07095 19.94247 (314*2π)/6602 weeks
315.97522 .35474 (315*2π)/6602 weeks
31619.23493 -30.25161 (316*2π)/6602 weeks
31748.39551 -16.67695 (317*2π)/6602 weeks
31841.59409 2.10035 (318*2π)/6602 weeks
31938.47915 -5.40235 (319*2π)/6602 weeks
32049.18904 3.5786 (320*2π)/6602 weeks
32140.309 13.6849 (321*2π)/6602 weeks
32238.16917 14.80614 (322*2π)/6602 weeks
32327.10713 21.7569 (323*2π)/6602 weeks
32417.93665 6.03775 (324*2π)/6602 weeks
32533.50942 6.53472 (325*2π)/6602 weeks
32622.8714 20.89395 (326*2π)/6602 weeks
3277.53555 10.17404 (327*2π)/6602 weeks
3285.73284 -8.60766 (328*2π)/6602 weeks
32928.44136 -20.5638 (329*2π)/6602 weeks
33045.53263   (330*2π)/6602 weeks
33128.44136 20.5638 (331*2π)/6602 weeks
3325.73284 8.60766 (332*2π)/6602 weeks
3337.53555 -10.17404 (333*2π)/6602 weeks
33422.8714 -20.89395 (334*2π)/6602 weeks
33533.50942 -6.53472 (335*2π)/6602 weeks
33617.93665 -6.03775 (336*2π)/6602 weeks
33727.10713 -21.7569 (337*2π)/6602 weeks
33838.16917 -14.80614 (338*2π)/6602 weeks
33940.309 -13.6849 (339*2π)/6602 weeks
34049.18904 -3.5786 (340*2π)/6602 weeks
34138.47915 5.40235 (341*2π)/6602 weeks
34241.59409 -2.10035 (342*2π)/6602 weeks
34348.39551 16.67695 (343*2π)/6602 weeks
34419.23493 30.25161 (344*2π)/6602 weeks
345.97522 -.35474 (345*2π)/6602 weeks
34625.07095 -19.94247 (346*2π)/6602 weeks
34742.39636 1.81692 (347*2π)/6602 weeks
34822.31384 16.13863 (348*2π)/6602 weeks
3492.96817 -.41419 (349*2π)/6602 weeks
35016.61225 -27.31727 (350*2π)/6602 weeks
35145.03993 -17.49548 (351*2π)/6602 weeks
35239.71016 8.07207 (352*2π)/6602 weeks
35318.07856 6.08373 (353*2π)/6602 weeks
35418.57976 -16.6283 (354*2π)/6602 weeks
35546.81617 -13.04495 (355*2π)/6602 weeks
35640.05513 17.3953 (356*2π)/6602 weeks
35716.37936 15.70326 (357*2π)/6602 weeks
35813.81446 1.53705 (358*2π)/6602 weeks
35914.97042 9.17077 (359*2π)/6602 weeks
360-8.11368 5.64206 (360*2π)/6602 weeks
361-11.15642 -25.6202 (361*2π)/6602 weeks
3629.2631 -37.70307 (362*2π)/6602 weeks
36322.49282 -34.79347 (363*2π)/6602 weeks
36427.90278 -25.21372 (364*2π)/6602 weeks
36521.47557 -25.49514 (365*2π)/6602 weeks
36623.25113 -27.89342 (366*2π)/6602 weeks
36718.09958 -30.74511 (367*2π)/6602 weeks
36819.99182 -47.34772 (368*2π)/6602 weeks
36938.18323 -55.49003 (369*2π)/6602 weeks
37051.80925 -52.06663 (370*2π)/6602 weeks
37165.22304 -47.7169 (371*2π)/6602 weeks
37274.38192 -38.22249 (372*2π)/6602 weeks
37385.4578 -25.74893 (373*2π)/6602 weeks
37481.71916 -3.42462 (374*2π)/6602 weeks
37564.67571 -.0394 (375*2π)/6602 weeks
37667.09612 -15.46536 (376*2π)/6602 weeks
37792.85567 -1.91046 (377*2π)/6602 weeks
37884.86697 28.57717 (378*2π)/6602 weeks
37967.07774 38.47422 (379*2π)/6602 weeks
38052.9747 47.90772 (380*2π)/6602 weeks
38124.30125 43.80756 (381*2π)/6602 weeks
38220.03746 25.89245 (382*2π)/6602 weeks
38310.3603 21.35261 (383*2π)/6602 weeks
3847.47177 -3.14119 (384*2π)/6602 weeks
38534.53976 -14.63878 (385*2π)/6602 weeks
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6582,016.135 -6,224.213 (658*2π)/6601 weeks