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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 33 weeks (971.6996*sine), 36 weeks (949.6162*sine), and 43 weeks (926.7662*sine).

VXX (iPath S&P 500 VIX Short Term Fu) has an average price of 3,194.34 (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 3/20/2017 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
03,194.343   0 
14,135.621 2,801.219 (1*2π)/426426 weeks
22,387.68 2,637.073 (2*2π)/426213 weeks
31,592.507 2,518.476 (3*2π)/426142 weeks
4836.2321 2,068.315 (4*2π)/426107 weeks
5827.2079 1,589.353 (5*2π)/42685 weeks
6764.89 1,742.307 (6*2π)/42671 weeks
7266.1395 1,648.073 (7*2π)/42661 weeks
890.50378 1,194.292 (8*2π)/42653 weeks
9197.8504 997.4118 (9*2π)/42647 weeks
10188.6899 926.7662 (10*2π)/42643 weeks
11268.8745 826.5156 (11*2π)/42639 weeks
12291.7042 949.6162 (12*2π)/42636 weeks
1347.82227 971.6996 (13*2π)/42633 weeks
14-44.10368 727.6541 (14*2π)/42630 weeks
1541.57328 637.4882 (15*2π)/42628 weeks
1643.59718 600.2395 (16*2π)/42627 weeks
1775.03844 556.3879 (17*2π)/42625 weeks
1885.4784 573.009 (18*2π)/42624 weeks
1951.78375 594.4919 (19*2π)/42622 weeks
20-39.74531 552.438 (20*2π)/42621 weeks
21-49.02381 436.0801 (21*2π)/42620 weeks
2210.44098 392.2177 (22*2π)/42619 weeks
2324.57575 385.1284 (23*2π)/42619 weeks
2450.89045 377.5108 (24*2π)/42618 weeks
2544.06585 416.8796 (25*2π)/42617 weeks
26-12.66209 414.1485 (26*2π)/42616 weeks
27-56.47525 358.0064 (27*2π)/42616 weeks
28-54.15269 286.6498 (28*2π)/42615 weeks
29-14.68256 241.7132 (29*2π)/42615 weeks
3028.49713 233.9615 (30*2π)/42614 weeks
3170.68739 248.006 (31*2π)/42614 weeks
3248.32336 316.6021 (32*2π)/42613 weeks
33-33.04456 278.0117 (33*2π)/42613 weeks
34-8.536 213.5616 (34*2π)/42613 weeks
35-1.93748 218.4195 (35*2π)/42612 weeks
36-10.8521 168.1179 (36*2π)/42612 weeks
3760.36975 142.2657 (37*2π)/42612 weeks
3875.7568 185.1814 (38*2π)/42611 weeks
3966.04684 193.4772 (39*2π)/42611 weeks
4059.51061 197.3119 (40*2π)/42611 weeks
4157.15081 188.5694 (41*2π)/42610 weeks
4261.43922 188.555 (42*2π)/42610 weeks
4360.24721 190.3438 (43*2π)/42610 weeks
4452.04217 195.2351 (44*2π)/42610 weeks
4533.02511 187.6829 (45*2π)/4269 weeks
4632.90714 175.0883 (46*2π)/4269 weeks
4719.38922 159.8808 (47*2π)/4269 weeks
4832.62802 129.8204 (48*2π)/4269 weeks
4955.01595 130.2284 (49*2π)/4269 weeks
5063.91318 138.6328 (50*2π)/4269 weeks
5159.67159 143.1744 (51*2π)/4268 weeks
5259.10313 150.1767 (52*2π)/4268 weeks
5335.1588 137.2823 (53*2π)/4268 weeks
5448.82216 104.3378 (54*2π)/4268 weeks
5577.87881 105.813 (55*2π)/4268 weeks
5691.01659 123.5583 (56*2π)/4268 weeks
5794.76125 132.761 (57*2π)/4267 weeks
5899.45337 162.4458 (58*2π)/4267 weeks
5947.34571 192.5622 (59*2π)/4267 weeks
605.14404 131.9892 (60*2π)/4267 weeks
6149.80516 99.39711 (61*2π)/4267 weeks
6261.85235 115.8332 (62*2π)/4267 weeks
6370.7055 112.2336 (63*2π)/4267 weeks
6482.34319 145.3611 (64*2π)/4267 weeks
6530.86172 161.4071 (65*2π)/4267 weeks
668.68861 114.0277 (66*2π)/4266 weeks
6732.91529 95.16805 (67*2π)/4266 weeks
6837.1919 91.7832 (68*2π)/4266 weeks
6945.34986 87.84893 (69*2π)/4266 weeks
7048.56106 87.95294 (70*2π)/4266 weeks
7149.99425 83.6293 (71*2π)/4266 weeks
7256.11415 72.12135 (72*2π)/4266 weeks
7384.29815 74.82581 (73*2π)/4266 weeks
7482.5604 107.146 (74*2π)/4266 weeks
7561.67561 108.8806 (75*2π)/4266 weeks
7657.40062 105.128 (76*2π)/4266 weeks
7747.7886 105.8583 (77*2π)/4266 weeks
7839.08503 92.5475 (78*2π)/4265 weeks
7945.18502 86.99196 (79*2π)/4265 weeks
8041.4108 89.23948 (80*2π)/4265 weeks
8134.70167 74.88963 (81*2π)/4265 weeks
8244.44317 69.54387 (82*2π)/4265 weeks
8346.30167 63.60159 (83*2π)/4265 weeks
8453.23762 62.79089 (84*2π)/4265 weeks
8555.84004 63.44808 (85*2π)/4265 weeks
8660.94415 70.70948 (86*2π)/4265 weeks
8746.09056 74.63683 (87*2π)/4265 weeks
8842.17846 54.42286 (88*2π)/4265 weeks
8960.34402 54.2923 (89*2π)/4265 weeks
9051.23316 64.52237 (90*2π)/4265 weeks
9142.35791 54.9311 (91*2π)/4265 weeks
9242.44233 44.54326 (92*2π)/4265 weeks
9348.00372 29.42752 (93*2π)/4265 weeks
9465.93094 21.21691 (94*2π)/4265 weeks
9577.65298 23.42503 (95*2π)/4264 weeks
9697.2264 29.0369 (96*2π)/4264 weeks
97100.1814 52.08804 (97*2π)/4264 weeks
9891.23651 64.39826 (98*2π)/4264 weeks
9982.50724 70.26603 (99*2π)/4264 weeks
10067.48701 72.07056 (100*2π)/4264 weeks
10154.89851 57.50255 (101*2π)/4264 weeks
10262.40639 44.9421 (102*2π)/4264 weeks
10366.79578 43.27284 (103*2π)/4264 weeks
10471.09671 38.62745 (104*2π)/4264 weeks
10571.41766 42.01353 (105*2π)/4264 weeks
10672.90635 30.72443 (106*2π)/4264 weeks
10792.69467 29.06679 (107*2π)/4264 weeks
10897.60333 44.42039 (108*2π)/4264 weeks
10996.14612 43.7162 (109*2π)/4264 weeks
110110.298 58.17578 (110*2π)/4264 weeks
11194.52608 80.77421 (111*2π)/4264 weeks
11275.82782 78.93392 (112*2π)/4264 weeks
11368.50541 74.50049 (113*2π)/4264 weeks
11460.56796 66.91158 (114*2π)/4264 weeks
11562.12973 55.60887 (115*2π)/4264 weeks
11669.33062 63.14485 (116*2π)/4264 weeks
11753.58842 71.31631 (117*2π)/4264 weeks
11837.61274 54.17295 (118*2π)/4264 weeks
11942.90033 37.27863 (119*2π)/4264 weeks
12047.83939 28.91624 (120*2π)/4264 weeks
12158.09735 19.35945 (121*2π)/4264 weeks
12273.35981 21.64739 (122*2π)/4263 weeks
12374.83556 37.5015 (123*2π)/4263 weeks
12457.81705 35.09483 (124*2π)/4263 weeks
12561.65942 13.05372 (125*2π)/4263 weeks
12683.45321 13.27574 (126*2π)/4263 weeks
12789.68073 23.24351 (127*2π)/4263 weeks
12889.23241 32.82979 (128*2π)/4263 weeks
12984.43852 34.44794 (129*2π)/4263 weeks
13082.9984 30.8005 (130*2π)/4263 weeks
13190.6461 28.29612 (131*2π)/4263 weeks
13298.47993 38.07308 (132*2π)/4263 weeks
13395.1331 45.31366 (133*2π)/4263 weeks
13494.25303 56.08282 (134*2π)/4263 weeks
13579.39758 62.81743 (135*2π)/4263 weeks
13667.8084 55.31805 (136*2π)/4263 weeks
13766.84019 45.62077 (137*2π)/4263 weeks
13868.99877 44.94847 (138*2π)/4263 weeks
13965.8376 41.81107 (139*2π)/4263 weeks
14068.79771 36.74751 (140*2π)/4263 weeks
14170.72731 37.02362 (141*2π)/4263 weeks
14274.22341 35.94847 (142*2π)/4263 weeks
14378.12307 38.47789 (143*2π)/4263 weeks
14480.1158 48.32782 (144*2π)/4263 weeks
14565.87946 57.92631 (145*2π)/4263 weeks
14651.15181 48.1669 (146*2π)/4263 weeks
14750.10662 34.10165 (147*2π)/4263 weeks
14854.92109 26.42479 (148*2π)/4263 weeks
14962.68331 18.21301 (149*2π)/4263 weeks
15083.87109 23.11472 (150*2π)/4263 weeks
15181.61608 52.77936 (151*2π)/4263 weeks
15251.72196 54.56004 (152*2π)/4263 weeks
15345.59135 39.00683 (153*2π)/4263 weeks
15439.82265 34.54658 (154*2π)/4263 weeks
15535.09001 16.52971 (155*2π)/4263 weeks
15654.90749 5.06124 (156*2π)/4263 weeks
15757.5576 24.2193 (157*2π)/4263 weeks
15834.81236 14.37704 (158*2π)/4263 weeks
15943.89111 -9.82188 (159*2π)/4263 weeks
16059.05726 -15.13894 (160*2π)/4263 weeks
16170.50214 -20.53997 (161*2π)/4263 weeks
16292.12728 -12.65391 (162*2π)/4263 weeks
16391.92197 8.88931 (163*2π)/4263 weeks
16477.69269 9.9607 (164*2π)/4263 weeks
16576.43124 -.76961 (165*2π)/4263 weeks
16686.02787 -5.05768 (166*2π)/4263 weeks
16796.57228 -7.98049 (167*2π)/4263 weeks
168116.329 2.49196 (168*2π)/4263 weeks
169117.0349 33.12801 (169*2π)/4263 weeks
17092.40579 45.89595 (170*2π)/4263 weeks
17173.99973 37.66857 (171*2π)/4262 weeks
17265.81609 19.70687 (172*2π)/4262 weeks
17381.86917 4.15293 (173*2π)/4262 weeks
17498.46175 16.1062 (174*2π)/4262 weeks
17594.22735 27.06448 (175*2π)/4262 weeks
17692.55476 34.18127 (176*2π)/4262 weeks
17779.85688 41.66874 (177*2π)/4262 weeks
17866.15203 32.55942 (178*2π)/4262 weeks
17967.97333 16.02135 (179*2π)/4262 weeks
18079.87289 14.00803 (180*2π)/4262 weeks
18183.85976 18.28513 (181*2π)/4262 weeks
18288.2794 20.60775 (182*2π)/4262 weeks
18388.09047 31.58714 (183*2π)/4262 weeks
18473.06434 32.74801 (184*2π)/4262 weeks
18577.4349 15.62465 (185*2π)/4262 weeks
18690.48701 27.66248 (186*2π)/4262 weeks
18780.22 32.11636 (187*2π)/4262 weeks
18887.25936 33.52599 (188*2π)/4262 weeks
18975.37309 49.40312 (189*2π)/4262 weeks
19055.39221 34.80495 (190*2π)/4262 weeks
19166.13966 21.07774 (191*2π)/4262 weeks
19271.10983 27.18671 (192*2π)/4262 weeks
19369.19199 22.24148 (193*2π)/4262 weeks
19477.68881 22.05119 (194*2π)/4262 weeks
19583.86868 29.99912 (195*2π)/4262 weeks
19683.26941 44.90701 (196*2π)/4262 weeks
19766.38339 52.14014 (197*2π)/4262 weeks
19858.06851 52.13041 (198*2π)/4262 weeks
19940.85775 48.46709 (199*2π)/4262 weeks
20041.30072 29.28007 (200*2π)/4262 weeks
20150.72348 37.47443 (201*2π)/4262 weeks
20231.34077 41.50121 (202*2π)/4262 weeks
20319.48555 26.07734 (203*2π)/4262 weeks
20415.68984 6.02975 (204*2π)/4262 weeks
20529.74303 -14.53055 (205*2π)/4262 weeks
20654.07361 -15.81895 (206*2π)/4262 weeks
20769.54624 3.02363 (207*2π)/4262 weeks
20854.14948 24.09239 (208*2π)/4262 weeks
20932.8485 12.00914 (209*2π)/4262 weeks
21037.84744 -4.17276 (210*2π)/4262 weeks
21141.86821 -7.67863 (211*2π)/4262 weeks
21254.60266 -18.70316 (212*2π)/4262 weeks
21373.8739   (213*2π)/4262 weeks
21454.60266 18.70316 (214*2π)/4262 weeks
21541.86821 7.67863 (215*2π)/4262 weeks
21637.84744 4.17276 (216*2π)/4262 weeks
21732.8485 -12.00914 (217*2π)/4262 weeks
21854.14948 -24.09239 (218*2π)/4262 weeks
21969.54624 -3.02363 (219*2π)/4262 weeks
22054.07361 15.81895 (220*2π)/4262 weeks
22129.74303 14.53055 (221*2π)/4262 weeks
22215.68984 -6.02975 (222*2π)/4262 weeks
22319.48555 -26.07734 (223*2π)/4262 weeks
22431.34077 -41.50121 (224*2π)/4262 weeks
22550.72348 -37.47443 (225*2π)/4262 weeks
22641.30072 -29.28007 (226*2π)/4262 weeks
22740.85775 -48.46709 (227*2π)/4262 weeks
22858.06851 -52.13041 (228*2π)/4262 weeks
22966.38339 -52.14014 (229*2π)/4262 weeks
23083.26941 -44.90701 (230*2π)/4262 weeks
23183.86868 -29.99912 (231*2π)/4262 weeks
23277.68881 -22.05119 (232*2π)/4262 weeks
23369.19199 -22.24148 (233*2π)/4262 weeks
23471.10983 -27.18671 (234*2π)/4262 weeks
23566.13966 -21.07774 (235*2π)/4262 weeks
23655.39221 -34.80495 (236*2π)/4262 weeks
23775.37309 -49.40312 (237*2π)/4262 weeks
23887.25936 -33.52599 (238*2π)/4262 weeks
23980.22 -32.11636 (239*2π)/4262 weeks
24090.48701 -27.66248 (240*2π)/4262 weeks
24177.4349 -15.62465 (241*2π)/4262 weeks
24273.06434 -32.74801 (242*2π)/4262 weeks
24388.09047 -31.58714 (243*2π)/4262 weeks
24488.2794 -20.60775 (244*2π)/4262 weeks
24583.85976 -18.28513 (245*2π)/4262 weeks
24679.87289 -14.00803 (246*2π)/4262 weeks
24767.97333 -16.02135 (247*2π)/4262 weeks
24866.15203 -32.55942 (248*2π)/4262 weeks
24979.85688 -41.66874 (249*2π)/4262 weeks
25092.55476 -34.18127 (250*2π)/4262 weeks
25194.22735 -27.06448 (251*2π)/4262 weeks
25298.46175 -16.1062 (252*2π)/4262 weeks
25381.86917 -4.15293 (253*2π)/4262 weeks
25465.81609 -19.70687 (254*2π)/4262 weeks
25573.99973 -37.66857 (255*2π)/4262 weeks
25692.40579 -45.89595 (256*2π)/4262 weeks
257117.0349 -33.12801 (257*2π)/4262 weeks
258116.329 -2.49196 (258*2π)/4262 weeks
25996.57228 7.98049 (259*2π)/4262 weeks
26086.02787 5.05768 (260*2π)/4262 weeks
26176.43124 .76961 (261*2π)/4262 weeks
26277.69269 -9.9607 (262*2π)/4262 weeks
26391.92197 -8.88931 (263*2π)/4262 weeks
26492.12728 12.65391 (264*2π)/4262 weeks
26570.50214 20.53997 (265*2π)/4262 weeks
26659.05726 15.13894 (266*2π)/4262 weeks
26743.89111 9.82188 (267*2π)/4262 weeks
26834.81236 -14.37704 (268*2π)/4262 weeks
26957.5576 -24.2193 (269*2π)/4262 weeks
27054.90749 -5.06124 (270*2π)/4262 weeks
27135.09001 -16.52971 (271*2π)/4262 weeks
27239.82265 -34.54658 (272*2π)/4262 weeks
27345.59135 -39.00683 (273*2π)/4262 weeks
27451.72196 -54.56004 (274*2π)/4262 weeks
27581.61608 -52.77936 (275*2π)/4262 weeks
27683.87109 -23.11472 (276*2π)/4262 weeks
27762.68331 -18.21301 (277*2π)/4262 weeks
27854.92109 -26.42479 (278*2π)/4262 weeks
27950.10662 -34.10165 (279*2π)/4262 weeks
28051.15181 -48.1669 (280*2π)/4262 weeks
28165.87946 -57.92631 (281*2π)/4262 weeks
28280.1158 -48.32782 (282*2π)/4262 weeks
28378.12307 -38.47789 (283*2π)/4262 weeks
28474.22341 -35.94847 (284*2π)/4262 weeks
28570.72731 -37.02362 (285*2π)/4261 weeks
28668.79771 -36.74751 (286*2π)/4261 weeks
28765.8376 -41.81107 (287*2π)/4261 weeks
28868.99877 -44.94847 (288*2π)/4261 weeks
28966.84019 -45.62077 (289*2π)/4261 weeks
29067.8084 -55.31805 (290*2π)/4261 weeks
29179.39758 -62.81743 (291*2π)/4261 weeks
29294.25303 -56.08282 (292*2π)/4261 weeks
29395.1331 -45.31366 (293*2π)/4261 weeks
29498.47993 -38.07308 (294*2π)/4261 weeks
29590.6461 -28.29612 (295*2π)/4261 weeks
29682.9984 -30.8005 (296*2π)/4261 weeks
29784.43852 -34.44794 (297*2π)/4261 weeks
29889.23241 -32.82979 (298*2π)/4261 weeks
29989.68073 -23.24351 (299*2π)/4261 weeks
30083.45321 -13.27574 (300*2π)/4261 weeks
30161.65942 -13.05372 (301*2π)/4261 weeks
30257.81705 -35.09483 (302*2π)/4261 weeks
30374.83556 -37.5015 (303*2π)/4261 weeks
30473.35981 -21.64739 (304*2π)/4261 weeks
30558.09735 -19.35945 (305*2π)/4261 weeks
30647.83939 -28.91624 (306*2π)/4261 weeks
30742.90033 -37.27863 (307*2π)/4261 weeks
30837.61274 -54.17295 (308*2π)/4261 weeks
30953.58842 -71.31631 (309*2π)/4261 weeks
31069.33062 -63.14485 (310*2π)/4261 weeks
31162.12973 -55.60887 (311*2π)/4261 weeks
31260.56796 -66.91158 (312*2π)/4261 weeks
31368.50541 -74.50049 (313*2π)/4261 weeks
31475.82782 -78.93392 (314*2π)/4261 weeks
31594.52608 -80.77421 (315*2π)/4261 weeks
316110.298 -58.17578 (316*2π)/4261 weeks
31796.14612 -43.7162 (317*2π)/4261 weeks
31897.60333 -44.42039 (318*2π)/4261 weeks
31992.69467 -29.06679 (319*2π)/4261 weeks
32072.90635 -30.72443 (320*2π)/4261 weeks
32171.41766 -42.01353 (321*2π)/4261 weeks
32271.09671 -38.62745 (322*2π)/4261 weeks
32366.79578 -43.27284 (323*2π)/4261 weeks
32462.40639 -44.9421 (324*2π)/4261 weeks
32554.89851 -57.50255 (325*2π)/4261 weeks
32667.48701 -72.07056 (326*2π)/4261 weeks
32782.50724 -70.26603 (327*2π)/4261 weeks
32891.23651 -64.39826 (328*2π)/4261 weeks
329100.1814 -52.08804 (329*2π)/4261 weeks
33097.2264 -29.0369 (330*2π)/4261 weeks
33177.65298 -23.42503 (331*2π)/4261 weeks
33265.93094 -21.21691 (332*2π)/4261 weeks
33348.00372 -29.42752 (333*2π)/4261 weeks
33442.44233 -44.54326 (334*2π)/4261 weeks
33542.35791 -54.9311 (335*2π)/4261 weeks
33651.23316 -64.52237 (336*2π)/4261 weeks
33760.34402 -54.2923 (337*2π)/4261 weeks
33842.17846 -54.42286 (338*2π)/4261 weeks
33946.09056 -74.63683 (339*2π)/4261 weeks
34060.94415 -70.70948 (340*2π)/4261 weeks
34155.84004 -63.44808 (341*2π)/4261 weeks
34253.23762 -62.79089 (342*2π)/4261 weeks
34346.30167 -63.60159 (343*2π)/4261 weeks
34444.44317 -69.54387 (344*2π)/4261 weeks
34534.70167 -74.88963 (345*2π)/4261 weeks
34641.4108 -89.23948 (346*2π)/4261 weeks
34745.18502 -86.99196 (347*2π)/4261 weeks
34839.08503 -92.5475 (348*2π)/4261 weeks
34947.7886 -105.8583 (349*2π)/4261 weeks
35057.40062 -105.128 (350*2π)/4261 weeks
35161.67561 -108.8806 (351*2π)/4261 weeks
35282.5604 -107.146 (352*2π)/4261 weeks
35384.29815 -74.82581 (353*2π)/4261 weeks
35456.11415 -72.12135 (354*2π)/4261 weeks
35549.99425 -83.6293 (355*2π)/4261 weeks
35648.56106 -87.95294 (356*2π)/4261 weeks
35745.34986 -87.84893 (357*2π)/4261 weeks
35837.1919 -91.7832 (358*2π)/4261 weeks
35932.91529 -95.16805 (359*2π)/4261 weeks
3608.68861 -114.0277 (360*2π)/4261 weeks
36130.86172 -161.4071 (361*2π)/4261 weeks
36282.34319 -145.3611 (362*2π)/4261 weeks
36370.7055 -112.2336 (363*2π)/4261 weeks
36461.85235 -115.8332 (364*2π)/4261 weeks
36549.80516 -99.39711 (365*2π)/4261 weeks
3665.14404 -131.9892 (366*2π)/4261 weeks
36747.34571 -192.5622 (367*2π)/4261 weeks
36899.45337 -162.4458 (368*2π)/4261 weeks
36994.76125 -132.761 (369*2π)/4261 weeks
37091.01659 -123.5583 (370*2π)/4261 weeks
37177.87881 -105.813 (371*2π)/4261 weeks
37248.82216 -104.3378 (372*2π)/4261 weeks
37335.1588 -137.2823 (373*2π)/4261 weeks
37459.10313 -150.1767 (374*2π)/4261 weeks
37559.67159 -143.1744 (375*2π)/4261 weeks
37663.91318 -138.6328 (376*2π)/4261 weeks
37755.01595 -130.2284 (377*2π)/4261 weeks
37832.62802 -129.8204 (378*2π)/4261 weeks
37919.38922 -159.8808 (379*2π)/4261 weeks
38032.90714 -175.0883 (380*2π)/4261 weeks
38133.02511 -187.6829 (381*2π)/4261 weeks
38252.04217 -195.2351 (382*2π)/4261 weeks
38360.24721 -190.3438 (383*2π)/4261 weeks
38461.43922 -188.555 (384*2π)/4261 weeks
38557.15081 -188.5694 (385*2π)/4261 weeks
38659.51061 -197.3119 (386*2π)/4261 weeks
38766.04684 -193.4772 (387*2π)/4261 weeks
38875.7568 -185.1814 (388*2π)/4261 weeks
38960.36975 -142.2657 (389*2π)/4261 weeks
390-10.8521 -168.1179 (390*2π)/4261 weeks
391-1.93748 -218.4195 (391*2π)/4261 weeks
392-8.536 -213.5616 (392*2π)/4261 weeks
393-33.04456 -278.0117 (393*2π)/4261 weeks
39448.32336 -316.6021 (394*2π)/4261 weeks
39570.68739 -248.006 (395*2π)/4261 weeks
39628.49713 -233.9615 (396*2π)/4261 weeks
397-14.68256 -241.7132 (397*2π)/4261 weeks
398-54.15269 -286.6498 (398*2π)/4261 weeks
399-56.47525 -358.0064 (399*2π)/4261 weeks
400-12.66209 -414.1485 (400*2π)/4261 weeks
40144.06585 -416.8796 (401*2π)/4261 weeks
40250.89045 -377.5108 (402*2π)/4261 weeks
40324.57575 -385.1284 (403*2π)/4261 weeks
40410.44098 -392.2177 (404*2π)/4261 weeks
405-49.02381 -436.0801 (405*2π)/4261 weeks
406-39.74531 -552.438 (406*2π)/4261 weeks
40751.78375 -594.4919 (407*2π)/4261 weeks
40885.4784 -573.009 (408*2π)/4261 weeks
40975.03844 -556.3879 (409*2π)/4261 weeks
41043.59718 -600.2395 (410*2π)/4261 weeks
41141.57328 -637.4882 (411*2π)/4261 weeks
412-44.10368 -727.6541 (412*2π)/4261 weeks
41347.82227 -971.6996 (413*2π)/4261 weeks
414291.7042 -949.6162 (414*2π)/4261 weeks
415268.8745 -826.5156 (415*2π)/4261 weeks
416188.6899 -926.7662 (416*2π)/4261 weeks
417197.8504 -997.4118 (417*2π)/4261 weeks
41890.50378 -1,194.292 (418*2π)/4261 weeks
419266.1395 -1,648.073 (419*2π)/4261 weeks
420764.89 -1,742.307 (420*2π)/4261 weeks
421827.2079 -1,589.353 (421*2π)/4261 weeks
422836.2321 -2,068.315 (422*2π)/4261 weeks
4231,592.507 -2,518.476 (423*2π)/4261 weeks
4242,387.68 -2,637.073 (424*2π)/4261 weeks

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