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Fourier Analysis of TOPS (TOP Ships Inc.)


TOPS (TOP Ships Inc.) appears to have interesting cyclic behaviour every 65 weeks (1397.316*sine), 59 weeks (896.9308*sine), and 59 weeks (595.9118*cosine).

TOPS (TOP Ships Inc.) has an average price of 6,075.3 (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 8/2/2004 to 1/17/2017 for TOPS (TOP Ships Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
06,075.295   0 
17,384.872 6,815.121 (1*2π)/651651 weeks
21,950.419 6,244.331 (2*2π)/651326 weeks
3474.1897 3,967.38 (3*2π)/651217 weeks
4397.0994 3,418.129 (4*2π)/651163 weeks
5-708.9243 2,986.838 (5*2π)/651130 weeks
6-1,083.398 1,598.265 (6*2π)/651109 weeks
7-327.0254 781.0779 (7*2π)/65193 weeks
8259.7317 1,047.722 (8*2π)/65181 weeks
989.10913 1,389.025 (9*2π)/65172 weeks
10-361.2007 1,397.316 (10*2π)/65165 weeks
11-595.9118 896.9308 (11*2π)/65159 weeks
12-333.2258 605.852 (12*2π)/65154 weeks
13-239.0353 741.6234 (13*2π)/65150 weeks
14-544.8719 556.9195 (14*2π)/65147 weeks
15-245.1631 112.6112 (15*2π)/65143 weeks
16158.5319 327.769 (16*2π)/65141 weeks
1769.07664 691.0446 (17*2π)/65138 weeks
18-330.2167 690.5338 (18*2π)/65136 weeks
19-447.1156 325.8976 (19*2π)/65134 weeks
20-262.2139 132.1342 (20*2π)/65133 weeks
21-107.4641 101.0509 (21*2π)/65131 weeks
2239.75188 110.039 (22*2π)/65130 weeks
23154.4119 263.261 (23*2π)/65128 weeks
2462.04697 430.9262 (24*2π)/65127 weeks
25-63.96661 443.9851 (25*2π)/65126 weeks
26-177.2522 426.9112 (26*2π)/65125 weeks
27-275.7615 317.3935 (27*2π)/65124 weeks
28-311.5428 187.0671 (28*2π)/65123 weeks
29-233.0952 3.84991 (29*2π)/65122 weeks
30-15.38309 -3.95961 (30*2π)/65122 weeks
3124.21094 190.3761 (31*2π)/65121 weeks
32-151.506 203.382 (32*2π)/65120 weeks
33-154.6829 70.6693 (33*2π)/65120 weeks
34-106.6426 46.79353 (34*2π)/65119 weeks
35-116.6087 22.75236 (35*2π)/65119 weeks
36-92.2539 -42.55391 (36*2π)/65118 weeks
37-49.19046 -130.0394 (37*2π)/65118 weeks
38146.205 -204.5614 (38*2π)/65117 weeks
39366.0971 17.99263 (39*2π)/65117 weeks
40197.9975 294.6971 (40*2π)/65116 weeks
41-48.71457 195.2104 (41*2π)/65116 weeks
427.22781 7.27522 (42*2π)/65116 weeks
43136.9926 47.4404 (43*2π)/65115 weeks
44120.0983 106.8725 (44*2π)/65115 weeks
45118.9042 80.86156 (45*2π)/65114 weeks
46206.6793 113.8617 (46*2π)/65114 weeks
47213.9898 253.5018 (47*2π)/65114 weeks
4887.37575 368.0397 (48*2π)/65114 weeks
49-101.9061 329.0162 (49*2π)/65113 weeks
50-170.0824 163.5739 (50*2π)/65113 weeks
51-91.46307 47.83902 (51*2π)/65113 weeks
52-19.96266 61.58007 (52*2π)/65113 weeks
53-16.38939 52.07299 (53*2π)/65112 weeks
5453.08778 31.0223 (54*2π)/65112 weeks
55116.8064 136.4301 (55*2π)/65112 weeks
565.13769 258.6646 (56*2π)/65112 weeks
57-177.0678 193.4254 (57*2π)/65111 weeks
58-195.9761 -6.6859 (58*2π)/65111 weeks
59-58.37443 -92.07085 (59*2π)/65111 weeks
6027.22774 -44.76479 (60*2π)/65111 weeks
6127.51435 -10.74229 (61*2π)/65111 weeks
6237.09121 -18.64359 (62*2π)/65111 weeks
6364.55842 -1.8686 (63*2π)/65110 weeks
6440.9508 37.55731 (64*2π)/65110 weeks
65-22.2386 -13.41199 (65*2π)/65110 weeks
6649.34361 -115.3953 (66*2π)/65110 weeks
67157.0012 -79.05995 (67*2π)/65110 weeks
68183.0502 -18.16077 (68*2π)/65110 weeks
69205.3292 25.92769 (69*2π)/6519 weeks
70190.5252 100.1934 (70*2π)/6519 weeks
71134.4925 129.1736 (71*2π)/6519 weeks
7287.89099 130.5516 (72*2π)/6519 weeks
7320.78817 89.79196 (73*2π)/6519 weeks
7445.5859 -20.49061 (74*2π)/6519 weeks
75161.1367 -36.00719 (75*2π)/6519 weeks
76226.2749 32.9642 (76*2π)/6519 weeks
77246.3885 111.1958 (77*2π)/6518 weeks
78213.4043 205.2095 (78*2π)/6518 weeks
79126.4216 245.1849 (79*2π)/6518 weeks
8042.62157 215.5813 (80*2π)/6518 weeks
8131.72816 157.884 (81*2π)/6518 weeks
8233.25972 148.0156 (82*2π)/6518 weeks
8320.08828 109.3477 (83*2π)/6518 weeks
8486.4705 76.71531 (84*2π)/6518 weeks
85129.6998 172.4092 (85*2π)/6518 weeks
8621.49059 228.0492 (86*2π)/6518 weeks
87-40.74047 147.5162 (87*2π)/6517 weeks
88-17.03064 94.41412 (88*2π)/6517 weeks
8916.06312 75.31179 (89*2π)/6517 weeks
9036.90195 87.83733 (90*2π)/6517 weeks
9144.50431 78.15141 (91*2π)/6517 weeks
9288.8039 96.92867 (92*2π)/6517 weeks
9390.81031 162.6097 (93*2π)/6517 weeks
9427.95037 206.3385 (94*2π)/6517 weeks
95-38.6331 182.6993 (95*2π)/6517 weeks
96-70.14793 133.8117 (96*2π)/6517 weeks
97-52.01314 72.61134 (97*2π)/6517 weeks
98-1.43902 77.38275 (98*2π)/6517 weeks
99-12.27793 111.1545 (99*2π)/6517 weeks
100-41.43675 93.18766 (100*2π)/6517 weeks
101-21.60406 71.26 (101*2π)/6516 weeks
102-8.93122 105.5632 (102*2π)/6516 weeks
103-80.35126 122.2332 (103*2π)/6516 weeks
104-124.5486 34.73312 (104*2π)/6516 weeks
105-57.43699 -43.77779 (105*2π)/6516 weeks
10615.44759 -13.06954 (106*2π)/6516 weeks
10712.22119 26.67497 (107*2π)/6516 weeks
108-7.81219 27.06762 (108*2π)/6516 weeks
109-1.14887 8.20263 (109*2π)/6516 weeks
11014.60251 16.37048 (110*2π)/6516 weeks
111-2.38697 27.36761 (111*2π)/6516 weeks
112-12.7147 -15.36059 (112*2π)/6516 weeks
11345.23987 -35.86059 (113*2π)/6516 weeks
11479.50117 8.79933 (114*2π)/6516 weeks
11564.91548 47.03655 (115*2π)/6516 weeks
11633.2874 52.97446 (116*2π)/6516 weeks
11726.82039 35.95477 (117*2π)/6516 weeks
11826.58553 26.2363 (118*2π)/6516 weeks
11937.48335 22.47902 (119*2π)/6515 weeks
12046.66906 21.60297 (120*2π)/6515 weeks
12157.54111 35.74191 (121*2π)/6515 weeks
12251.48858 41.73974 (122*2π)/6515 weeks
12355.7033 55.8786 (123*2π)/6515 weeks
12433.61905 71.531 (124*2π)/6515 weeks
1256.84171 51.33852 (125*2π)/6515 weeks
12623.12515 24.94881 (126*2π)/6515 weeks
12737.9934 38.23677 (127*2π)/6515 weeks
12822.66807 39.33448 (128*2π)/6515 weeks
12934.33628 20.37226 (129*2π)/6515 weeks
13052.12327 31.42446 (130*2π)/6515 weeks
13158.77498 50.50866 (131*2π)/6515 weeks
13233.40349 77.71082 (132*2π)/6515 weeks
133-1.22949 50.37513 (133*2π)/6515 weeks
13420.44275 22.30441 (134*2π)/6515 weeks
13534.59673 40.06341 (135*2π)/6515 weeks
13610.40185 35.75198 (136*2π)/6515 weeks
13729.72593 .86711 (137*2π)/6515 weeks
13875.51218 20.66907 (138*2π)/6515 weeks
13972.65808 73.34689 (139*2π)/6515 weeks
14026.57406 88.58137 (140*2π)/6515 weeks
1413.40551 70.15178 (141*2π)/6515 weeks
142-3.1759 59.03122 (142*2π)/6515 weeks
143-14.90674 46.00871 (143*2π)/6515 weeks
144-18.1726 29.96034 (144*2π)/6515 weeks
145-24.53145 7.19754 (145*2π)/6514 weeks
1466.19368 -28.47567 (146*2π)/6514 weeks
14749.19792 1.02625 (147*2π)/6514 weeks
14814.50554 32.63718 (148*2π)/6514 weeks
149-7.25271 -13.26565 (149*2π)/6514 weeks
15045.82133 -40.96943 (150*2π)/6514 weeks
15174.61005 9.67361 (151*2π)/6514 weeks
15230.34552 26.47616 (152*2π)/6514 weeks
15333.40538 -19.79322 (153*2π)/6514 weeks
15477.70119 -6.36353 (154*2π)/6514 weeks
15566.69157 28.87412 (155*2π)/6514 weeks
15641.96768 15.16138 (156*2π)/6514 weeks
15766.53541 -3.79561 (157*2π)/6514 weeks
15884.117 20.87624 (158*2π)/6514 weeks
15972.19521 41.80544 (159*2π)/6514 weeks
16051.3924 33.96516 (160*2π)/6514 weeks
16166.27822 14.30396 (161*2π)/6514 weeks
16295.35516 34.11923 (162*2π)/6514 weeks
16380.80013 76.29205 (163*2π)/6514 weeks
16441.15562 73.6348 (164*2π)/6514 weeks
16534.87418 54.26119 (165*2π)/6514 weeks
16628.43065 49.83707 (166*2π)/6514 weeks
16724.44905 23.70402 (167*2π)/6514 weeks
16853.95657 7.59269 (168*2π)/6514 weeks
16984.52412 19.20571 (169*2π)/6514 weeks
170104.7504 57.20845 (170*2π)/6514 weeks
17181.81098 100.8406 (171*2π)/6514 weeks
17238.46452 107.8198 (172*2π)/6514 weeks
17314.81218 85.38705 (173*2π)/6514 weeks
17419.07969 71.00769 (174*2π)/6514 weeks
17517.90295 74.26163 (175*2π)/6514 weeks
1762.15882 68.37218 (176*2π)/6514 weeks
17710.48538 48.54087 (177*2π)/6514 weeks
17831.32097 63.09449 (178*2π)/6514 weeks
17912.36176 93.78836 (179*2π)/6514 weeks
180-28.49064 92.61716 (180*2π)/6514 weeks
181-63.63219 67.85622 (181*2π)/6514 weeks
182-76.41826 7.14491 (182*2π)/6514 weeks
183-28.13902 -36.47668 (183*2π)/6514 weeks
18412.18602 -23.50923 (184*2π)/6514 weeks
18533.27318 -5.14434 (185*2π)/6514 weeks
18633.13448 27.39928 (186*2π)/6514 weeks
187-.81854 38.92847 (187*2π)/6513 weeks
188-17.53545 12.44099 (188*2π)/6513 weeks
189-15.10574 -.43269 (189*2π)/6513 weeks
190-19.0022 -27.67619 (190*2π)/6513 weeks
19115.74709 -58.98736 (191*2π)/6513 weeks
19269.33574 -42.92376 (192*2π)/6513 weeks
19373.55035 13.57181 (193*2π)/6513 weeks
19430.35326 24.16465 (194*2π)/6513 weeks
19523.72994 -7.3868 (195*2π)/6513 weeks
19641.95256 -9.44989 (196*2π)/6513 weeks
19739.1348 -9.80553 (197*2π)/6513 weeks
19856.15564 -27.59402 (198*2π)/6513 weeks
19992.14394 -16.31994 (199*2π)/6513 weeks
200110.3995 22.27751 (200*2π)/6513 weeks
20199.8359 73.9671 (201*2π)/6513 weeks
20233.67378 103.7079 (202*2π)/6513 weeks
203-20.21786 52.2995 (203*2π)/6513 weeks
204-.79246 .61451 (204*2π)/6513 weeks
20528.19182 -4.84759 (205*2π)/6513 weeks
20639.15903 -9.46109 (206*2π)/6513 weeks
20774.41041 -12.73368 (207*2π)/6513 weeks
208100.0001 32.00948 (208*2π)/6513 weeks
20971.5107 78.74891 (209*2π)/6513 weeks
21026.12615 73.76767 (210*2π)/6513 weeks
21118.65355 51.71619 (211*2π)/6513 weeks
21211.3905 52.29961 (212*2π)/6513 weeks
213-4.08013 33.48864 (213*2π)/6513 weeks
2149.76991 9.42703 (214*2π)/6513 weeks
21527.82191 14.7017 (215*2π)/6513 weeks
21625.93549 21.18432 (216*2π)/6513 weeks
21727.74137 22.50812 (217*2π)/6513 weeks
21823.56672 24.66709 (218*2π)/6513 weeks
21918.3445 23.24227 (219*2π)/6513 weeks
22013.56431 11.47705 (220*2π)/6513 weeks
22129.05125 -.94801 (221*2π)/6513 weeks
22245.9698 12.86877 (222*2π)/6513 weeks
22333.45172 27.654 (223*2π)/6513 weeks
22429.54531 15.09915 (224*2π)/6513 weeks
22543.83996 20.92045 (225*2π)/6513 weeks
22634.33451 38.90652 (226*2π)/6513 weeks
22712.21665 33.52542 (227*2π)/6513 weeks
22811.92571 10.2791 (228*2π)/6513 weeks
22932.10282 4.36114 (229*2π)/6513 weeks
23041.28251 18.68105 (230*2π)/6513 weeks
23134.39724 29.37262 (231*2π)/6513 weeks
23227.01733 28.0476 (232*2π)/6513 weeks
23330.89721 29.54951 (233*2π)/6513 weeks
23422.31569 46.55624 (234*2π)/6513 weeks
235-16.38 41.79292 (235*2π)/6513 weeks
236-22.70773 -7.84186 (236*2π)/6513 weeks
23714.6957 -25.63694 (237*2π)/6513 weeks
23832.95416 -14.75919 (238*2π)/6513 weeks
23944.33859 -11.02771 (239*2π)/6513 weeks
24058.03534 10.34078 (240*2π)/6513 weeks
24141.15255 32.16264 (241*2π)/6513 weeks
24217.57641 23.07259 (242*2π)/6513 weeks
24321.97415 2.89958 (243*2π)/6513 weeks
24433.70974 -.91653 (244*2π)/6513 weeks
24550.31219 -2.79141 (245*2π)/6513 weeks
24674.96819 18.93536 (246*2π)/6513 weeks
24761.96621 67.23397 (247*2π)/6513 weeks
2488.09553 73.77399 (248*2π)/6513 weeks
249-11.84419 39.44459 (249*2π)/6513 weeks
250-4.88592 22.3504 (250*2π)/6513 weeks
251-4.56737 17.95462 (251*2π)/6513 weeks
252-7.80681 7.22544 (252*2π)/6513 weeks
253.02945 -11.08451 (253*2π)/6513 weeks
25427.35743 -14.34691 (254*2π)/6513 weeks
25538.42179 18.5967 (255*2π)/6513 weeks
2564.66784 34.95123 (256*2π)/6513 weeks
257-18.14941 6.52041 (257*2π)/6513 weeks
258-4.78445 -17.71861 (258*2π)/6513 weeks
2599.29946 -16.8777 (259*2π)/6513 weeks
2608.13158 -20.9478 (260*2π)/6513 weeks
26122.99742 -31.18684 (261*2π)/6512 weeks
26235.57145 -21.0782 (262*2π)/6512 weeks
26336.77596 -13.90676 (263*2π)/6512 weeks
26433.55949 -12.15279 (264*2π)/6512 weeks
26540.36668 -17.94104 (265*2π)/6512 weeks
26654.15406 -6.39464 (266*2π)/6512 weeks
26747.2574 16.29023 (267*2π)/6512 weeks
26819.78721 15.99924 (268*2π)/6512 weeks
26915.40904 -8.90706 (269*2π)/6512 weeks
27036.95406 -15.96513 (270*2π)/6512 weeks
27141.99366 9.77121 (271*2π)/6512 weeks
27211.62207 9.22645 (272*2π)/6512 weeks
2737.43141 -17.26272 (273*2π)/6512 weeks
27420.26386 -25.84291 (274*2π)/6512 weeks
27521.11199 -39.68706 (275*2π)/6512 weeks
27648.97881 -50.44336 (276*2π)/6512 weeks
27765.83795 -39.96534 (277*2π)/6512 weeks
27882.87488 -31.67559 (278*2π)/6512 weeks
27995.38803 -3.22315 (279*2π)/6512 weeks
28071.30055 16.8365 (280*2π)/6512 weeks
28164.15554 1.26814 (281*2π)/6512 weeks
28281.19576 1.92667 (282*2π)/6512 weeks
28387.35464 24.17673 (283*2π)/6512 weeks
28476.07424 38.17459 (284*2π)/6512 weeks
28566.90966 47.78826 (285*2π)/6512 weeks
28653.03939 52.67369 (286*2π)/6512 weeks
28739.30915 56.21676 (287*2π)/6512 weeks
28820.51006 48.30854 (288*2π)/6512 weeks
28918.3159 31.2155 (289*2π)/6512 weeks
29023.57318 28.284 (290*2π)/6512 weeks
29121.79081 25.69322 (291*2π)/6512 weeks
29228.45606 25.95071 (292*2π)/6512 weeks
29322.2584 35.49877 (293*2π)/6512 weeks
2948.15469 38.14402 (294*2π)/6512 weeks
295-12.54658 23.80654 (295*2π)/6512 weeks
296-5.94386 -7.69281 (296*2π)/6512 weeks
29716.50197 -8.09042 (297*2π)/6512 weeks
29812.88914 -2.51108 (298*2π)/6512 weeks
29918.9069 -17.53286 (299*2π)/6512 weeks
30044.4973 -14.77723 (300*2π)/6512 weeks
30143.52187 17.37668 (301*2π)/6512 weeks
30215.78425 12.94406 (302*2π)/6512 weeks
30321.71547 -8.83816 (303*2π)/6512 weeks
30444.23149 -4.48191 (304*2π)/6512 weeks
30541.42788 23.13695 (305*2π)/6512 weeks
30610.04022 23.49587 (306*2π)/6512 weeks
3075.88354 -6.17103 (307*2π)/6512 weeks
30829.25417 -15.82073 (308*2π)/6512 weeks
30942.73837 6.41219 (309*2π)/6512 weeks
31016.07155 18.75233 (310*2π)/6512 weeks
3111.06033 -10.8575 (311*2π)/6512 weeks
31231.81977 -31.17339 (312*2π)/6512 weeks
31350.19196 -8.19733 (313*2π)/6512 weeks
31437.54861 1.04759 (314*2π)/6512 weeks
31544.1135 -5.32477 (315*2π)/6512 weeks
31648.14178 9.83117 (316*2π)/6512 weeks
31738.68996 13.13039 (317*2π)/6512 weeks
31836.73241 18.81218 (318*2π)/6512 weeks
31920.00684 18.21858 (319*2π)/6512 weeks
32025.07862 1.17728 (320*2π)/6512 weeks
32133.21194 15.06437 (321*2π)/6512 weeks
32213.82024 18.44729 (322*2π)/6512 weeks
3235.17055 2.81495 (323*2π)/6512 weeks
32414.19057 -18.59657 (324*2π)/6512 weeks
32540.93692 -13.78072 (325*2π)/6512 weeks
32640.93692 13.78072 (326*2π)/6512 weeks
32714.19057 18.59657 (327*2π)/6512 weeks
3285.17055 -2.81495 (328*2π)/6512 weeks
32913.82024 -18.44729 (329*2π)/6512 weeks
33033.21194 -15.06437 (330*2π)/6512 weeks
33125.07862 -1.17728 (331*2π)/6512 weeks
33220.00684 -18.21858 (332*2π)/6512 weeks
33336.73241 -18.81218 (333*2π)/6512 weeks
33438.68996 -13.13039 (334*2π)/6512 weeks
33548.14178 -9.83117 (335*2π)/6512 weeks
33644.1135 5.32477 (336*2π)/6512 weeks
33737.54861 -1.04759 (337*2π)/6512 weeks
33850.19196 8.19733 (338*2π)/6512 weeks
33931.81977 31.17339 (339*2π)/6512 weeks
3401.06033 10.8575 (340*2π)/6512 weeks
34116.07155 -18.75233 (341*2π)/6512 weeks
34242.73837 -6.41219 (342*2π)/6512 weeks
34329.25417 15.82073 (343*2π)/6512 weeks
3445.88354 6.17103 (344*2π)/6512 weeks
34510.04022 -23.49587 (345*2π)/6512 weeks
34641.42788 -23.13695 (346*2π)/6512 weeks
34744.23149 4.48191 (347*2π)/6512 weeks
34821.71547 8.83816 (348*2π)/6512 weeks
34915.78425 -12.94406 (349*2π)/6512 weeks
35043.52187 -17.37668 (350*2π)/6512 weeks
35144.4973 14.77723 (351*2π)/6512 weeks
35218.9069 17.53286 (352*2π)/6512 weeks
35312.88914 2.51108 (353*2π)/6512 weeks
35416.50197 8.09042 (354*2π)/6512 weeks
355-5.94386 7.69281 (355*2π)/6512 weeks
356-12.54658 -23.80654 (356*2π)/6512 weeks
3578.15469 -38.14402 (357*2π)/6512 weeks
35822.2584 -35.49877 (358*2π)/6512 weeks
35928.45606 -25.95071 (359*2π)/6512 weeks
36021.79081 -25.69322 (360*2π)/6512 weeks
36123.57318 -28.284 (361*2π)/6512 weeks
36218.3159 -31.2155 (362*2π)/6512 weeks
36320.51006 -48.30854 (363*2π)/6512 weeks
36439.30915 -56.21676 (364*2π)/6512 weeks
36553.03939 -52.67369 (365*2π)/6512 weeks
36666.90966 -47.78826 (366*2π)/6512 weeks
36776.07424 -38.17459 (367*2π)/6512 weeks
36887.35464 -24.17673 (368*2π)/6512 weeks
36981.19576 -1.92667 (369*2π)/6512 weeks
37064.15554 -1.26814 (370*2π)/6512 weeks
37171.30055 -16.8365 (371*2π)/6512 weeks
37295.38803 3.22315 (372*2π)/6512 weeks
37382.87488 31.67559 (373*2π)/6512 weeks
37465.83795 39.96534 (374*2π)/6512 weeks
37548.97881 50.44336 (375*2π)/6512 weeks
37621.11199 39.68706 (376*2π)/6512 weeks
37720.26386 25.84291 (377*2π)/6512 weeks
3787.43141 17.26272 (378*2π)/6512 weeks
37911.62207 -9.22645 (379*2π)/6512 weeks
38041.99366 -9.77121 (380*2π)/6512 weeks
38136.95406 15.96513 (381*2π)/6512 weeks
38215.40904 8.90706 (382*2π)/6512 weeks
38319.78721 -15.99924 (383*2π)/6512 weeks
38447.2574 -16.29023 (384*2π)/6512 weeks
38554.15406 6.39464 (385*2π)/6512 weeks
38640.36668 17.94104 (386*2π)/6512 weeks
38733.55949 12.15279 (387*2π)/6512 weeks
38836.77596 13.90676 (388*2π)/6512 weeks
38935.57145 21.0782 (389*2π)/6512 weeks
39022.99742 31.18684 (390*2π)/6512 weeks
3918.13158 20.9478 (391*2π)/6512 weeks
3929.29946 16.8777 (392*2π)/6512 weeks
393-4.78445 17.71861 (393*2π)/6512 weeks
394-18.14941 -6.52041 (394*2π)/6512 weeks
3954.66784 -34.95123 (395*2π)/6512 weeks
39638.42179 -18.5967 (396*2π)/6512 weeks
39727.35743 14.34691 (397*2π)/6512 weeks
398.02945 11.08451 (398*2π)/6512 weeks
399-7.80681 -7.22544 (399*2π)/6512 weeks
400-4.56737 -17.95462 (400*2π)/6512 weeks
401-4.88592 -22.3504 (401*2π)/6512 weeks
402-11.84419 -39.44459 (402*2π)/6512 weeks
4038.09553 -73.77399 (403*2π)/6512 weeks
40461.96621 -67.23397 (404*2π)/6512 weeks
40574.96819 -18.93536 (405*2π)/6512 weeks
40650.31219 2.79141 (406*2π)/6512 weeks
40733.70974 .91653 (407*2π)/6512 weeks
40821.97415 -2.89958 (408*2π)/6512 weeks
40917.57641 -23.07259 (409*2π)/6512 weeks
41041.15255 -32.16264 (410*2π)/6512 weeks
41158.03534 -10.34078 (411*2π)/6512 weeks
41244.33859 11.02771 (412*2π)/6512 weeks
41332.95416 14.75919 (413*2π)/6512 weeks
41414.6957 25.63694 (414*2π)/6512 weeks
415-22.70773 7.84186 (415*2π)/6512 weeks
416-16.38 -41.79292 (416*2π)/6512 weeks
41722.31569 -46.55624 (417*2π)/6512 weeks
41830.89721 -29.54951 (418*2π)/6512 weeks
41927.01733 -28.0476 (419*2π)/6512 weeks
42034.39724 -29.37262 (420*2π)/6512 weeks
42141.28251 -18.68105 (421*2π)/6512 weeks
42232.10282 -4.36114 (422*2π)/6512 weeks
42311.92571 -10.2791 (423*2π)/6512 weeks
42412.21665 -33.52542 (424*2π)/6512 weeks
42534.33451 -38.90652 (425*2π)/6512 weeks
42643.83996 -20.92045 (426*2π)/6512 weeks
42729.54531 -15.09915 (427*2π)/6512 weeks
42833.45172 -27.654 (428*2π)/6512 weeks
42945.9698 -12.86877 (429*2π)/6512 weeks
43029.05125 .94801 (430*2π)/6512 weeks
43113.56431 -11.47705 (431*2π)/6512 weeks
43218.3445 -23.24227 (432*2π)/6512 weeks
43323.56672 -24.66709 (433*2π)/6512 weeks
43427.74137 -22.50812 (434*2π)/6512 weeks
43525.93549 -21.18432 (435*2π)/6511 weeks
43627.82191 -14.7017 (436*2π)/6511 weeks
4379.76991 -9.42703 (437*2π)/6511 weeks
438-4.08013 -33.48864 (438*2π)/6511 weeks
43911.3905 -52.29961 (439*2π)/6511 weeks
44018.65355 -51.71619 (440*2π)/6511 weeks
44126.12615 -73.76767 (441*2π)/6511 weeks
44271.5107 -78.74891 (442*2π)/6511 weeks
443100.0001 -32.00948 (443*2π)/6511 weeks
44474.41041 12.73368 (444*2π)/6511 weeks
44539.15903 9.46109 (445*2π)/6511 weeks
44628.19182 4.84759 (446*2π)/6511 weeks
447-.79246 -.61451 (447*2π)/6511 weeks
448-20.21786 -52.2995 (448*2π)/6511 weeks
44933.67378 -103.7079 (449*2π)/6511 weeks
45099.8359 -73.9671 (450*2π)/6511 weeks
451110.3995 -22.27751 (451*2π)/6511 weeks
45292.14394 16.31994 (452*2π)/6511 weeks
45356.15564 27.59402 (453*2π)/6511 weeks
45439.1348 9.80553 (454*2π)/6511 weeks
45541.95256 9.44989 (455*2π)/6511 weeks
45623.72994 7.3868 (456*2π)/6511 weeks
45730.35326 -24.16465 (457*2π)/6511 weeks
45873.55035 -13.57181 (458*2π)/6511 weeks
45969.33574 42.92376 (459*2π)/6511 weeks
46015.74709 58.98736 (460*2π)/6511 weeks
461-19.0022 27.67619 (461*2π)/6511 weeks
462-15.10574 .43269 (462*2π)/6511 weeks
463-17.53545 -12.44099 (463*2π)/6511 weeks
464-.81854 -38.92847 (464*2π)/6511 weeks
46533.13448 -27.39928 (465*2π)/6511 weeks
46633.27318 5.14434 (466*2π)/6511 weeks
46712.18602 23.50923 (467*2π)/6511 weeks
468-28.13902 36.47668 (468*2π)/6511 weeks
469-76.41826 -7.14491 (469*2π)/6511 weeks
470-63.63219 -67.85622 (470*2π)/6511 weeks
471-28.49064 -92.61716 (471*2π)/6511 weeks
47212.36176 -93.78836 (472*2π)/6511 weeks
47331.32097 -63.09449 (473*2π)/6511 weeks
47410.48538 -48.54087 (474*2π)/6511 weeks
4752.15882 -68.37218 (475*2π)/6511 weeks
47617.90295 -74.26163 (476*2π)/6511 weeks
47719.07969 -71.00769 (477*2π)/6511 weeks
47814.81218 -85.38705 (478*2π)/6511 weeks
47938.46452 -107.8198 (479*2π)/6511 weeks
48081.81098 -100.8406 (480*2π)/6511 weeks
481104.7504 -57.20845 (481*2π)/6511 weeks
48284.52412 -19.20571 (482*2π)/6511 weeks
48353.95657 -7.59269 (483*2π)/6511 weeks
48424.44905 -23.70402 (484*2π)/6511 weeks
48528.43065 -49.83707 (485*2π)/6511 weeks
48634.87418 -54.26119 (486*2π)/6511 weeks
48741.15562 -73.6348 (487*2π)/6511 weeks
48880.80013 -76.29205 (488*2π)/6511 weeks
48995.35516 -34.11923 (489*2π)/6511 weeks
49066.27822 -14.30396 (490*2π)/6511 weeks
49151.3924 -33.96516 (491*2π)/6511 weeks
49272.19521 -41.80544 (492*2π)/6511 weeks
49384.117 -20.87624 (493*2π)/6511 weeks
49466.53541 3.79561 (494*2π)/6511 weeks
49541.96768 -15.16138 (495*2π)/6511 weeks
49666.69157 -28.87412 (496*2π)/6511 weeks
49777.70119 6.36353 (497*2π)/6511 weeks
49833.40538 19.79322 (498*2π)/6511 weeks
49930.34552 -26.47616 (499*2π)/6511 weeks
50074.61005 -9.67361 (500*2π)/6511 weeks
50145.82133 40.96943 (501*2π)/6511 weeks
502-7.25271 13.26565 (502*2π)/6511 weeks
50314.50554 -32.63718 (503*2π)/6511 weeks
50449.19792 -1.02625 (504*2π)/6511 weeks
5056.19368 28.47567 (505*2π)/6511 weeks
506-24.53145 -7.19754 (506*2π)/6511 weeks
507-18.1726 -29.96034 (507*2π)/6511 weeks
508-14.90674 -46.00871 (508*2π)/6511 weeks
509-3.1759 -59.03122 (509*2π)/6511 weeks
5103.40551 -70.15178 (510*2π)/6511 weeks
51126.57406 -88.58137 (511*2π)/6511 weeks
51272.65808 -73.34689 (512*2π)/6511 weeks
51375.51218 -20.66907 (513*2π)/6511 weeks
51429.72593 -.86711 (514*2π)/6511 weeks
51510.40185 -35.75198 (515*2π)/6511 weeks
51634.59673 -40.06341 (516*2π)/6511 weeks
51720.44275 -22.30441 (517*2π)/6511 weeks
518-1.22949 -50.37513 (518*2π)/6511 weeks
51933.40349 -77.71082 (519*2π)/6511 weeks
52058.77498 -50.50866 (520*2π)/6511 weeks
52152.12327 -31.42446 (521*2π)/6511 weeks
52234.33628 -20.37226 (522*2π)/6511 weeks
52322.66807 -39.33448 (523*2π)/6511 weeks
52437.9934 -38.23677 (524*2π)/6511 weeks
52523.12515 -24.94881 (525*2π)/6511 weeks
5266.84171 -51.33852 (526*2π)/6511 weeks
52733.61905 -71.531 (527*2π)/6511 weeks
52855.7033 -55.8786 (528*2π)/6511 weeks
52951.48858 -41.73974 (529*2π)/6511 weeks
53057.54111 -35.74191 (530*2π)/6511 weeks
53146.66906 -21.60297 (531*2π)/6511 weeks
53237.48335 -22.47902 (532*2π)/6511 weeks
53326.58553 -26.2363 (533*2π)/6511 weeks
53426.82039 -35.95477 (534*2π)/6511 weeks
53533.2874 -52.97446 (535*2π)/6511 weeks
53664.91548 -47.03655 (536*2π)/6511 weeks
53779.50117 -8.79933 (537*2π)/6511 weeks
53845.23987 35.86059 (538*2π)/6511 weeks
539-12.7147 15.36059 (539*2π)/6511 weeks
540-2.38697 -27.36761 (540*2π)/6511 weeks
54114.60251 -16.37048 (541*2π)/6511 weeks
542-1.14887 -8.20263 (542*2π)/6511 weeks
543-7.81219 -27.06762 (543*2π)/6511 weeks
54412.22119 -26.67497 (544*2π)/6511 weeks
54515.44759 13.06954 (545*2π)/6511 weeks
546-57.43699 43.77779 (546*2π)/6511 weeks
547-124.5486 -34.73312 (547*2π)/6511 weeks
548-80.35126 -122.2332 (548*2π)/6511 weeks
549-8.93122 -105.5632 (549*2π)/6511 weeks
550-21.60406 -71.26 (550*2π)/6511 weeks
551-41.43675 -93.18766 (551*2π)/6511 weeks
552-12.27793 -111.1545 (552*2π)/6511 weeks
553-1.43902 -77.38275 (553*2π)/6511 weeks
554-52.01314 -72.61134 (554*2π)/6511 weeks
555-70.14793 -133.8117 (555*2π)/6511 weeks
556-38.6331 -182.6993 (556*2π)/6511 weeks
55727.95037 -206.3385 (557*2π)/6511 weeks
55890.81031 -162.6097 (558*2π)/6511 weeks
55988.8039 -96.92867 (559*2π)/6511 weeks
56044.50431 -78.15141 (560*2π)/6511 weeks
56136.90195 -87.83733 (561*2π)/6511 weeks
56216.06312 -75.31179 (562*2π)/6511 weeks
563-17.03064 -94.41412 (563*2π)/6511 weeks
564-40.74047 -147.5162 (564*2π)/6511 weeks
56521.49059 -228.0492 (565*2π)/6511 weeks
566129.6998 -172.4092 (566*2π)/6511 weeks
56786.4705 -76.71531 (567*2π)/6511 weeks
56820.08828 -109.3477 (568*2π)/6511 weeks
56933.25972 -148.0156 (569*2π)/6511 weeks
57031.72816 -157.884 (570*2π)/6511 weeks
57142.62157 -215.5813 (571*2π)/6511 weeks
572126.4216 -245.1849 (572*2π)/6511 weeks
573213.4043 -205.2095 (573*2π)/6511 weeks
574246.3885 -111.1958 (574*2π)/6511 weeks
575226.2749 -32.9642 (575*2π)/6511 weeks
576161.1367 36.00719 (576*2π)/6511 weeks
57745.5859 20.49061 (577*2π)/6511 weeks
57820.78817 -89.79196 (578*2π)/6511 weeks
57987.89099 -130.5516 (579*2π)/6511 weeks
580134.4925 -129.1736 (580*2π)/6511 weeks
581190.5252 -100.1934 (581*2π)/6511 weeks
582205.3292 -25.92769 (582*2π)/6511 weeks
583183.0502 18.16077 (583*2π)/6511 weeks
584157.0012 79.05995 (584*2π)/6511 weeks
58549.34361 115.3953 (585*2π)/6511 weeks
586-22.2386 13.41199 (586*2π)/6511 weeks
58740.9508 -37.55731 (587*2π)/6511 weeks
58864.55842 1.8686 (588*2π)/6511 weeks
58937.09121 18.64359 (589*2π)/6511 weeks
59027.51435 10.74229 (590*2π)/6511 weeks
59127.22774 44.76479 (591*2π)/6511 weeks
592-58.37443 92.07085 (592*2π)/6511 weeks
593-195.9761 6.6859 (593*2π)/6511 weeks
594-177.0678 -193.4254 (594*2π)/6511 weeks
5955.13769 -258.6646 (595*2π)/6511 weeks
596116.8064 -136.4301 (596*2π)/6511 weeks
59753.08778 -31.0223 (597*2π)/6511 weeks
598-16.38939 -52.07299 (598*2π)/6511 weeks
599-19.96266 -61.58007 (599*2π)/6511 weeks
600-91.46307 -47.83902 (600*2π)/6511 weeks
601-170.0824 -163.5739 (601*2π)/6511 weeks
602-101.9061 -329.0162 (602*2π)/6511 weeks
60387.37575 -368.0397 (603*2π)/6511 weeks
604213.9898 -253.5018 (604*2π)/6511 weeks
605206.6793 -113.8617 (605*2π)/6511 weeks
606118.9042 -80.86156 (606*2π)/6511 weeks
607120.0983 -106.8725 (607*2π)/6511 weeks
608136.9926 -47.4404 (608*2π)/6511 weeks
6097.22781 -7.27522 (609*2π)/6511 weeks
610-48.71457 -195.2104 (610*2π)/6511 weeks
611197.9975 -294.6971 (611*2π)/6511 weeks
612366.0971 -17.99263 (612*2π)/6511 weeks
613146.205 204.5614 (613*2π)/6511 weeks
614-49.19046 130.0394 (614*2π)/6511 weeks
615-92.2539 42.55391 (615*2π)/6511 weeks
616-116.6087 -22.75236 (616*2π)/6511 weeks
617-106.6426 -46.79353 (617*2π)/6511 weeks
618-154.6829 -70.6693 (618*2π)/6511 weeks
619-151.506 -203.382 (619*2π)/6511 weeks
62024.21094 -190.3761 (620*2π)/6511 weeks
621-15.38309 3.95961 (621*2π)/6511 weeks
622-233.0952 -3.84991 (622*2π)/6511 weeks
623-311.5428 -187.0671 (623*2π)/6511 weeks
624-275.7615 -317.3935 (624*2π)/6511 weeks
625-177.2522 -426.9112 (625*2π)/6511 weeks
626-63.96661 -443.9851 (626*2π)/6511 weeks
62762.04697 -430.9262 (627*2π)/6511 weeks
628154.4119 -263.261 (628*2π)/6511 weeks
62939.75188 -110.039 (629*2π)/6511 weeks
630-107.4641 -101.0509 (630*2π)/6511 weeks
631-262.2139 -132.1342 (631*2π)/6511 weeks
632-447.1156 -325.8976 (632*2π)/6511 weeks
633-330.2167 -690.5338 (633*2π)/6511 weeks
63469.07664 -691.0446 (634*2π)/6511 weeks
635158.5319 -327.769 (635*2π)/6511 weeks
636-245.1631 -112.6112 (636*2π)/6511 weeks
637-544.8719 -556.9195 (637*2π)/6511 weeks
638-239.0353 -741.6234 (638*2π)/6511 weeks
639-333.2258 -605.852 (639*2π)/6511 weeks
640-595.9118 -896.9308 (640*2π)/6511 weeks
641-361.2007 -1,397.316 (641*2π)/6511 weeks
64289.10913 -1,389.025 (642*2π)/6511 weeks
643259.7317 -1,047.722 (643*2π)/6511 weeks
644-327.0254 -781.0779 (644*2π)/6511 weeks
645-1,083.398 -1,598.265 (645*2π)/6511 weeks
646-708.9243 -2,986.838 (646*2π)/6511 weeks
647397.0994 -3,418.129 (647*2π)/6511 weeks
648474.1897 -3,967.38 (648*2π)/6511 weeks
6491,950.419 -6,244.331 (649*2π)/6511 weeks

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