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Fourier Analysis of VXX (iPath S&P 500 VIX Short Term Fu)


VXX (iPath S&P 500 VIX Short Term Fu) appears to have interesting cyclic behaviour every 35 weeks (1006.16*sine), 32 weeks (930.6771*sine), and 42 weeks (913.5134*sine).

VXX (iPath S&P 500 VIX Short Term Fu) has an average price of 3,262.91 (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 1/30/2009 to 1/17/2017 for VXX (iPath S&P 500 VIX Short Term Fu), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
03,262.905   0 
14,167.259 2,875.067 (1*2π)/417417 weeks
22,401.462 2,678.508 (2*2π)/417209 weeks
31,568.453 2,561.514 (3*2π)/417139 weeks
4822.1052 2,050.015 (4*2π)/417104 weeks
5863.422 1,615.618 (5*2π)/41783 weeks
6723.3276 1,800.104 (6*2π)/41770 weeks
7207.7702 1,622.522 (7*2π)/41760 weeks
8110.0081 1,161.297 (8*2π)/41752 weeks
9213.4153 1,007.999 (9*2π)/41746 weeks
10192.8877 913.5134 (10*2π)/41742 weeks
11303.2118 857.3934 (11*2π)/41738 weeks
12253.0305 1,006.16 (12*2π)/41735 weeks
13-14.35615 930.6771 (13*2π)/41732 weeks
14-17.40314 690.0463 (14*2π)/41730 weeks
1546.17153 646.0419 (15*2π)/41728 weeks
1650.20515 593.6083 (16*2π)/41726 weeks
1791.041 572.4075 (17*2π)/41725 weeks
1881.87506 589.8686 (18*2π)/41723 weeks
1914.3233 603.5068 (19*2π)/41722 weeks
20-62.81367 511.565 (20*2π)/41721 weeks
21-23.74823 412.3946 (21*2π)/41720 weeks
2220.17748 403.0572 (22*2π)/41719 weeks
2336.19981 386.2595 (23*2π)/41718 weeks
2461.99277 406.0453 (24*2π)/41717 weeks
2515.88352 429.9409 (25*2π)/41717 weeks
26-44.22023 394.8856 (26*2π)/41716 weeks
27-63.21255 322.8344 (27*2π)/41715 weeks
28-32.76397 261.1444 (28*2π)/41715 weeks
2915.58387 238.2172 (29*2π)/41714 weeks
3054.85074 240.8383 (30*2π)/41714 weeks
3173.03535 303.4153 (31*2π)/41713 weeks
32-17.22841 310.3031 (32*2π)/41713 weeks
33-23.17629 227.3322 (33*2π)/41713 weeks
344.58669 224.1788 (34*2π)/41712 weeks
35-15.47163 188.7508 (35*2π)/41712 weeks
3643.54668 139.2218 (36*2π)/41712 weeks
3779.29839 183.9785 (37*2π)/41711 weeks
3868.43639 197.8055 (38*2π)/41711 weeks
3963.18961 201.9033 (39*2π)/41711 weeks
4058.06089 193.3501 (40*2π)/41710 weeks
4162.81692 191.8667 (41*2π)/41710 weeks
4261.51716 193.7906 (42*2π)/41710 weeks
4353.95362 199.1275 (43*2π)/41710 weeks
4434.32445 192.9198 (44*2π)/4179 weeks
4533.7714 178.897 (45*2π)/4179 weeks
4619.85244 163.5417 (46*2π)/4179 weeks
4733.7745 132.3707 (47*2π)/4179 weeks
4856.67705 133.1992 (48*2π)/4179 weeks
4965.36311 142.2094 (49*2π)/4179 weeks
5060.8698 145.8561 (50*2π)/4178 weeks
5158.12825 154.6065 (51*2π)/4178 weeks
5234.91648 135.8367 (52*2π)/4178 weeks
5355.07207 104.5858 (53*2π)/4178 weeks
5483.15871 109.9692 (54*2π)/4178 weeks
5592.53215 128.9439 (55*2π)/4178 weeks
5699.3604 139.3485 (56*2π)/4177 weeks
5796.65168 176.8809 (57*2π)/4177 weeks
5828.79497 188.8601 (58*2π)/4177 weeks
5913.38216 115.9348 (59*2π)/4177 weeks
6060.09315 107.1108 (60*2π)/4177 weeks
6162.28866 117.7891 (61*2π)/4177 weeks
6280.91857 120.2423 (62*2π)/4177 weeks
6370.2942 163.8842 (63*2π)/4177 weeks
6414.09838 149.5164 (64*2π)/4177 weeks
6518.51139 101.7599 (65*2π)/4176 weeks
6636.4558 98.34029 (66*2π)/4176 weeks
6742.30724 91.0261 (67*2π)/4176 weeks
6849.36784 89.82413 (68*2π)/4176 weeks
6950.43 87.50727 (69*2π)/4176 weeks
7052.1583 80.20258 (70*2π)/4176 weeks
7170.89494 68.98609 (71*2π)/4176 weeks
7291.58453 96.20531 (72*2π)/4176 weeks
7369.73399 114.0462 (73*2π)/4176 weeks
7459.60448 107.5441 (74*2π)/4176 weeks
7553.68452 108.88 (75*2π)/4176 weeks
7640.60718 101.1696 (76*2π)/4175 weeks
7744.85802 89.0368 (77*2π)/4175 weeks
7845.70422 90.741 (78*2π)/4175 weeks
7934.88173 82.21334 (79*2π)/4175 weeks
8044.04279 70.18002 (80*2π)/4175 weeks
8145.24951 66.81799 (81*2π)/4175 weeks
8252.96266 63.93772 (82*2π)/4175 weeks
8356.30529 65.32804 (83*2π)/4175 weeks
8462.70666 69.54366 (84*2π)/4175 weeks
8550.22989 77.45299 (85*2π)/4175 weeks
8641.27074 58.55004 (86*2π)/4175 weeks
8760.13775 53.41413 (87*2π)/4175 weeks
8853.76125 66.27861 (88*2π)/4175 weeks
8943.52755 57.31144 (89*2π)/4175 weeks
9043.51998 46.22454 (90*2π)/4175 weeks
9148.65266 30.54396 (91*2π)/4175 weeks
9267.06485 21.60751 (92*2π)/4175 weeks
9379.40965 23.91169 (93*2π)/4174 weeks
9499.89576 30.27704 (94*2π)/4174 weeks
95102.0081 53.98561 (95*2π)/4174 weeks
9692.39009 66.17587 (96*2π)/4174 weeks
9783.09919 72.37209 (97*2π)/4174 weeks
9866.80473 72.93864 (98*2π)/4174 weeks
9956.1068 55.90611 (99*2π)/4174 weeks
10064.88673 45.54524 (100*2π)/4174 weeks
10168.36102 43.78049 (101*2π)/4174 weeks
10274.55666 39.98201 (102*2π)/4174 weeks
10371.66897 41.18604 (103*2π)/4174 weeks
10478.00484 28.40347 (104*2π)/4174 weeks
10598.31674 34.12332 (105*2π)/4174 weeks
10697.64355 47.80205 (106*2π)/4174 weeks
107103.5872 45.47945 (107*2π)/4174 weeks
108111.533 69.72997 (108*2π)/4174 weeks
10988.9109 83.34573 (109*2π)/4174 weeks
11074.32934 77.35471 (110*2π)/4174 weeks
11165.61359 73.70965 (111*2π)/4174 weeks
11260.09631 63.83978 (112*2π)/4174 weeks
11369.18463 57.3781 (113*2π)/4174 weeks
11466.23846 70.40483 (114*2π)/4174 weeks
11544.0009 66.83663 (115*2π)/4174 weeks
11639.61921 44.43048 (116*2π)/4174 weeks
11746.74074 33.83541 (117*2π)/4174 weeks
11853.00698 23.46272 (118*2π)/4174 weeks
11968.32954 19.27023 (119*2π)/4174 weeks
12079.45462 31.46594 (120*2π)/4173 weeks
12165.53428 40.65962 (121*2π)/4173 weeks
12257.29716 21.08585 (122*2π)/4173 weeks
12378.81252 9.96386 (123*2π)/4173 weeks
12490.0192 21.0907 (124*2π)/4173 weeks
12592.52496 31.09013 (125*2π)/4173 weeks
12687.22239 35.38381 (126*2π)/4173 weeks
12784.41218 33.0736 (127*2π)/4173 weeks
12890.14649 28.75836 (128*2π)/4173 weeks
129100.2048 35.79746 (129*2π)/4173 weeks
13097.32948 45.67731 (130*2π)/4173 weeks
13197.61544 54.77087 (131*2π)/4173 weeks
13283.76334 64.22057 (132*2π)/4173 weeks
13370.17493 57.75487 (133*2π)/4173 weeks
13467.78654 47.35328 (134*2π)/4173 weeks
13570.65594 45.85066 (135*2π)/4173 weeks
13667.34546 43.13161 (136*2π)/4173 weeks
13770.04633 37.60098 (137*2π)/4173 weeks
13872.24443 37.86588 (138*2π)/4173 weeks
13975.82104 36.7235 (139*2π)/4173 weeks
14079.91545 39.42234 (140*2π)/4173 weeks
14181.65312 50.00092 (141*2π)/4173 weeks
14265.97906 59.05282 (142*2π)/4173 weeks
14351.64001 47.90412 (143*2π)/4173 weeks
14451.73451 33.64057 (144*2π)/4173 weeks
14556.68293 26.01073 (145*2π)/4173 weeks
14666.4875 17.45359 (146*2π)/4173 weeks
14788.34508 28.13649 (147*2π)/4173 weeks
14877.75388 58.14516 (148*2π)/4173 weeks
14949.1931 51.68514 (149*2π)/4173 weeks
15046.71725 38.72221 (150*2π)/4173 weeks
15138.07777 31.88417 (151*2π)/4173 weeks
15239.03157 10.42306 (152*2π)/4173 weeks
15361.93093 9.70773 (153*2π)/4173 weeks
15450.63149 26.80695 (154*2π)/4173 weeks
15534.95863 3.71398 (155*2π)/4173 weeks
15650.99865 -13.48796 (156*2π)/4173 weeks
15763.75197 -16.39385 (157*2π)/4173 weeks
15881.56336 -21.21009 (158*2π)/4173 weeks
15997.79603 -2.80226 (159*2π)/4173 weeks
16086.45071 12.81508 (160*2π)/4173 weeks
16176.91502 5.37903 (161*2π)/4173 weeks
16282.99245 -4.63499 (162*2π)/4173 weeks
16391.76936 -6.49061 (163*2π)/4173 weeks
164109.581 -5.38569 (164*2π)/4173 weeks
165124.0928 19.64951 (165*2π)/4173 weeks
166105.4525 45.08606 (166*2π)/4173 weeks
16781.41743 42.96661 (167*2π)/4172 weeks
16868.36625 28.79945 (168*2π)/4172 weeks
16975.54809 7.05901 (169*2π)/4172 weeks
17097.81743 10.14554 (170*2π)/4172 weeks
17197.93059 26.06618 (171*2π)/4172 weeks
17295.54373 31.85753 (172*2π)/4172 weeks
17386.34066 41.89373 (173*2π)/4172 weeks
17469.94949 36.58729 (174*2π)/4172 weeks
17566.93789 19.52443 (175*2π)/4172 weeks
17679.69119 13.67067 (176*2π)/4172 weeks
17785.42353 18.16404 (177*2π)/4172 weeks
17889.11222 20.09306 (178*2π)/4172 weeks
17990.96965 30.62792 (179*2π)/4172 weeks
18076.4014 34.85877 (180*2π)/4172 weeks
18177.08397 16.78486 (181*2π)/4172 weeks
18292.63775 26.91277 (182*2π)/4172 weeks
18382.19039 33.25201 (183*2π)/4172 weeks
18488.98986 33.78209 (184*2π)/4172 weeks
18577.18836 50.4347 (185*2π)/4172 weeks
18656.56523 35.17717 (186*2π)/4172 weeks
18768.05087 21.51827 (187*2π)/4172 weeks
18872.23631 27.9755 (188*2π)/4172 weeks
18971.22298 22.28899 (189*2π)/4172 weeks
19080.15949 23.07693 (190*2π)/4172 weeks
19186.1188 32.11401 (191*2π)/4172 weeks
19283.41635 48.50495 (192*2π)/4172 weeks
19365.99247 52.49714 (193*2π)/4172 weeks
19456.84848 53.85674 (194*2π)/4172 weeks
19538.76295 45.33858 (195*2π)/4172 weeks
19645.89288 28.71151 (196*2π)/4172 weeks
19748.36848 42.43924 (197*2π)/4172 weeks
19827.11105 38.85397 (198*2π)/4172 weeks
19918.00553 21.84044 (199*2π)/4172 weeks
20018.56066 -1.49375 (200*2π)/4172 weeks
20139.05889 -18.07388 (201*2π)/4172 weeks
20262.80667 -11.866 (202*2π)/4172 weeks
20368.9607 13.86339 (203*2π)/4172 weeks
20443.87904 23.72638 (204*2π)/4172 weeks
20533.53618 3.25119 (205*2π)/4172 weeks
20642.40368 -5.60003 (206*2π)/4172 weeks
20745.22536 -14.03889 (207*2π)/4172 weeks
20868.75893 -14.68077 (208*2π)/4172 weeks
20968.75893 14.68077 (209*2π)/4172 weeks
21045.22536 14.03889 (210*2π)/4172 weeks
21142.40368 5.60003 (211*2π)/4172 weeks
21233.53618 -3.25119 (212*2π)/4172 weeks
21343.87904 -23.72638 (213*2π)/4172 weeks
21468.9607 -13.86339 (214*2π)/4172 weeks
21562.80667 11.866 (215*2π)/4172 weeks
21639.05889 18.07388 (216*2π)/4172 weeks
21718.56066 1.49375 (217*2π)/4172 weeks
21818.00553 -21.84044 (218*2π)/4172 weeks
21927.11105 -38.85397 (219*2π)/4172 weeks
22048.36848 -42.43924 (220*2π)/4172 weeks
22145.89288 -28.71151 (221*2π)/4172 weeks
22238.76295 -45.33858 (222*2π)/4172 weeks
22356.84848 -53.85674 (223*2π)/4172 weeks
22465.99247 -52.49714 (224*2π)/4172 weeks
22583.41635 -48.50495 (225*2π)/4172 weeks
22686.1188 -32.11401 (226*2π)/4172 weeks
22780.15949 -23.07693 (227*2π)/4172 weeks
22871.22298 -22.28899 (228*2π)/4172 weeks
22972.23631 -27.9755 (229*2π)/4172 weeks
23068.05087 -21.51827 (230*2π)/4172 weeks
23156.56523 -35.17717 (231*2π)/4172 weeks
23277.18836 -50.4347 (232*2π)/4172 weeks
23388.98986 -33.78209 (233*2π)/4172 weeks
23482.19039 -33.25201 (234*2π)/4172 weeks
23592.63775 -26.91277 (235*2π)/4172 weeks
23677.08397 -16.78486 (236*2π)/4172 weeks
23776.4014 -34.85877 (237*2π)/4172 weeks
23890.96965 -30.62792 (238*2π)/4172 weeks
23989.11222 -20.09306 (239*2π)/4172 weeks
24085.42353 -18.16404 (240*2π)/4172 weeks
24179.69119 -13.67067 (241*2π)/4172 weeks
24266.93789 -19.52443 (242*2π)/4172 weeks
24369.94949 -36.58729 (243*2π)/4172 weeks
24486.34066 -41.89373 (244*2π)/4172 weeks
24595.54373 -31.85753 (245*2π)/4172 weeks
24697.93059 -26.06618 (246*2π)/4172 weeks
24797.81743 -10.14554 (247*2π)/4172 weeks
24875.54809 -7.05901 (248*2π)/4172 weeks
24968.36625 -28.79945 (249*2π)/4172 weeks
25081.41743 -42.96661 (250*2π)/4172 weeks
251105.4525 -45.08606 (251*2π)/4172 weeks
252124.0928 -19.64951 (252*2π)/4172 weeks
253109.581 5.38569 (253*2π)/4172 weeks
25491.76936 6.49061 (254*2π)/4172 weeks
25582.99245 4.63499 (255*2π)/4172 weeks
25676.91502 -5.37903 (256*2π)/4172 weeks
25786.45071 -12.81508 (257*2π)/4172 weeks
25897.79603 2.80226 (258*2π)/4172 weeks
25981.56336 21.21009 (259*2π)/4172 weeks
26063.75197 16.39385 (260*2π)/4172 weeks
26150.99865 13.48796 (261*2π)/4172 weeks
26234.95863 -3.71398 (262*2π)/4172 weeks
26350.63149 -26.80695 (263*2π)/4172 weeks
26461.93093 -9.70773 (264*2π)/4172 weeks
26539.03157 -10.42306 (265*2π)/4172 weeks
26638.07777 -31.88417 (266*2π)/4172 weeks
26746.71725 -38.72221 (267*2π)/4172 weeks
26849.1931 -51.68514 (268*2π)/4172 weeks
26977.75388 -58.14516 (269*2π)/4172 weeks
27088.34508 -28.13649 (270*2π)/4172 weeks
27166.4875 -17.45359 (271*2π)/4172 weeks
27256.68293 -26.01073 (272*2π)/4172 weeks
27351.73451 -33.64057 (273*2π)/4172 weeks
27451.64001 -47.90412 (274*2π)/4172 weeks
27565.97906 -59.05282 (275*2π)/4172 weeks
27681.65312 -50.00092 (276*2π)/4172 weeks
27779.91545 -39.42234 (277*2π)/4172 weeks
27875.82104 -36.7235 (278*2π)/4172 weeks
27972.24443 -37.86588 (279*2π)/4171 weeks
28070.04633 -37.60098 (280*2π)/4171 weeks
28167.34546 -43.13161 (281*2π)/4171 weeks
28270.65594 -45.85066 (282*2π)/4171 weeks
28367.78654 -47.35328 (283*2π)/4171 weeks
28470.17493 -57.75487 (284*2π)/4171 weeks
28583.76334 -64.22057 (285*2π)/4171 weeks
28697.61544 -54.77087 (286*2π)/4171 weeks
28797.32948 -45.67731 (287*2π)/4171 weeks
288100.2048 -35.79746 (288*2π)/4171 weeks
28990.14649 -28.75836 (289*2π)/4171 weeks
29084.41218 -33.0736 (290*2π)/4171 weeks
29187.22239 -35.38381 (291*2π)/4171 weeks
29292.52496 -31.09013 (292*2π)/4171 weeks
29390.0192 -21.0907 (293*2π)/4171 weeks
29478.81252 -9.96386 (294*2π)/4171 weeks
29557.29716 -21.08585 (295*2π)/4171 weeks
29665.53428 -40.65962 (296*2π)/4171 weeks
29779.45462 -31.46594 (297*2π)/4171 weeks
29868.32954 -19.27023 (298*2π)/4171 weeks
29953.00698 -23.46272 (299*2π)/4171 weeks
30046.74074 -33.83541 (300*2π)/4171 weeks
30139.61921 -44.43048 (301*2π)/4171 weeks
30244.0009 -66.83663 (302*2π)/4171 weeks
30366.23846 -70.40483 (303*2π)/4171 weeks
30469.18463 -57.3781 (304*2π)/4171 weeks
30560.09631 -63.83978 (305*2π)/4171 weeks
30665.61359 -73.70965 (306*2π)/4171 weeks
30774.32934 -77.35471 (307*2π)/4171 weeks
30888.9109 -83.34573 (308*2π)/4171 weeks
309111.533 -69.72997 (309*2π)/4171 weeks
310103.5872 -45.47945 (310*2π)/4171 weeks
31197.64355 -47.80205 (311*2π)/4171 weeks
31298.31674 -34.12332 (312*2π)/4171 weeks
31378.00484 -28.40347 (313*2π)/4171 weeks
31471.66897 -41.18604 (314*2π)/4171 weeks
31574.55666 -39.98201 (315*2π)/4171 weeks
31668.36102 -43.78049 (316*2π)/4171 weeks
31764.88673 -45.54524 (317*2π)/4171 weeks
31856.1068 -55.90611 (318*2π)/4171 weeks
31966.80473 -72.93864 (319*2π)/4171 weeks
32083.09919 -72.37209 (320*2π)/4171 weeks
32192.39009 -66.17587 (321*2π)/4171 weeks
322102.0081 -53.98561 (322*2π)/4171 weeks
32399.89576 -30.27704 (323*2π)/4171 weeks
32479.40965 -23.91169 (324*2π)/4171 weeks
32567.06485 -21.60751 (325*2π)/4171 weeks
32648.65266 -30.54396 (326*2π)/4171 weeks
32743.51998 -46.22454 (327*2π)/4171 weeks
32843.52755 -57.31144 (328*2π)/4171 weeks
32953.76125 -66.27861 (329*2π)/4171 weeks
33060.13775 -53.41413 (330*2π)/4171 weeks
33141.27074 -58.55004 (331*2π)/4171 weeks
33250.22989 -77.45299 (332*2π)/4171 weeks
33362.70666 -69.54366 (333*2π)/4171 weeks
33456.30529 -65.32804 (334*2π)/4171 weeks
33552.96266 -63.93772 (335*2π)/4171 weeks
33645.24951 -66.81799 (336*2π)/4171 weeks
33744.04279 -70.18002 (337*2π)/4171 weeks
33834.88173 -82.21334 (338*2π)/4171 weeks
33945.70422 -90.741 (339*2π)/4171 weeks
34044.85802 -89.0368 (340*2π)/4171 weeks
34140.60718 -101.1696 (341*2π)/4171 weeks
34253.68452 -108.88 (342*2π)/4171 weeks
34359.60448 -107.5441 (343*2π)/4171 weeks
34469.73399 -114.0462 (344*2π)/4171 weeks
34591.58453 -96.20531 (345*2π)/4171 weeks
34670.89494 -68.98609 (346*2π)/4171 weeks
34752.1583 -80.20258 (347*2π)/4171 weeks
34850.43 -87.50727 (348*2π)/4171 weeks
34949.36784 -89.82413 (349*2π)/4171 weeks
35042.30724 -91.0261 (350*2π)/4171 weeks
35136.4558 -98.34029 (351*2π)/4171 weeks
35218.51139 -101.7599 (352*2π)/4171 weeks
35314.09838 -149.5164 (353*2π)/4171 weeks
35470.2942 -163.8842 (354*2π)/4171 weeks
35580.91857 -120.2423 (355*2π)/4171 weeks
35662.28866 -117.7891 (356*2π)/4171 weeks
35760.09315 -107.1108 (357*2π)/4171 weeks
35813.38216 -115.9348 (358*2π)/4171 weeks
35928.79497 -188.8601 (359*2π)/4171 weeks
36096.65168 -176.8809 (360*2π)/4171 weeks
36199.3604 -139.3485 (361*2π)/4171 weeks
36292.53215 -128.9439 (362*2π)/4171 weeks
36383.15871 -109.9692 (363*2π)/4171 weeks
36455.07207 -104.5858 (364*2π)/4171 weeks
36534.91648 -135.8367 (365*2π)/4171 weeks
36658.12825 -154.6065 (366*2π)/4171 weeks
36760.8698 -145.8561 (367*2π)/4171 weeks
36865.36311 -142.2094 (368*2π)/4171 weeks
36956.67705 -133.1992 (369*2π)/4171 weeks
37033.7745 -132.3707 (370*2π)/4171 weeks
37119.85244 -163.5417 (371*2π)/4171 weeks
37233.7714 -178.897 (372*2π)/4171 weeks
37334.32445 -192.9198 (373*2π)/4171 weeks
37453.95362 -199.1275 (374*2π)/4171 weeks
37561.51716 -193.7906 (375*2π)/4171 weeks
37662.81692 -191.8667 (376*2π)/4171 weeks
37758.06089 -193.3501 (377*2π)/4171 weeks
37863.18961 -201.9033 (378*2π)/4171 weeks
37968.43639 -197.8055 (379*2π)/4171 weeks
38079.29839 -183.9785 (380*2π)/4171 weeks
38143.54668 -139.2218 (381*2π)/4171 weeks
382-15.47163 -188.7508 (382*2π)/4171 weeks
3834.58669 -224.1788 (383*2π)/4171 weeks
384-23.17629 -227.3322 (384*2π)/4171 weeks
385-17.22841 -310.3031 (385*2π)/4171 weeks
38673.03535 -303.4153 (386*2π)/4171 weeks
38754.85074 -240.8383 (387*2π)/4171 weeks
38815.58387 -238.2172 (388*2π)/4171 weeks
389-32.76397 -261.1444 (389*2π)/4171 weeks
390-63.21255 -322.8344 (390*2π)/4171 weeks
391-44.22023 -394.8856 (391*2π)/4171 weeks
39215.88352 -429.9409 (392*2π)/4171 weeks
39361.99277 -406.0453 (393*2π)/4171 weeks
39436.19981 -386.2595 (394*2π)/4171 weeks
39520.17748 -403.0572 (395*2π)/4171 weeks
396-23.74823 -412.3946 (396*2π)/4171 weeks
397-62.81367 -511.565 (397*2π)/4171 weeks
39814.3233 -603.5068 (398*2π)/4171 weeks
39981.87506 -589.8686 (399*2π)/4171 weeks
40091.041 -572.4075 (400*2π)/4171 weeks
40150.20515 -593.6083 (401*2π)/4171 weeks
40246.17153 -646.0419 (402*2π)/4171 weeks
403-17.40314 -690.0463 (403*2π)/4171 weeks
404-14.35615 -930.6771 (404*2π)/4171 weeks
405253.0305 -1,006.16 (405*2π)/4171 weeks
406303.2118 -857.3934 (406*2π)/4171 weeks
407192.8877 -913.5134 (407*2π)/4171 weeks
408213.4153 -1,007.999 (408*2π)/4171 weeks
409110.0081 -1,161.297 (409*2π)/4171 weeks
410207.7702 -1,622.522 (410*2π)/4171 weeks
411723.3276 -1,800.104 (411*2π)/4171 weeks
412863.422 -1,615.618 (412*2π)/4171 weeks
413822.1052 -2,050.015 (413*2π)/4171 weeks
4141,568.453 -2,561.514 (414*2π)/4171 weeks
4152,401.462 -2,678.508 (415*2π)/4171 weeks

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