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Fourier Analysis of VXX (iPath® S&P 500 VIX Short-Term Futures™ ETN)


VXX (iPath® S&P 500 VIX Short-Term Futures™ ETN) appears to have interesting cyclic behaviour every 34 weeks (968.6439*sine), 44 weeks (931.2748*sine), and 37 weeks (848.0333*sine).

VXX (iPath® S&P 500 VIX Short-Term Futures™ ETN) has an average price of 3,079.23 (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 7/10/2017 for VXX (iPath® S&P 500 VIX Short-Term Futures™ ETN), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
03,079.229   0 
14,078.41 2,675.7 (1*2π)/442442 weeks
22,365.56 2,569.06 (2*2π)/442221 weeks
31,626.64 2,440.946 (3*2π)/442147 weeks
4874.3936 2,090.85 (4*2π)/442111 weeks
5767.1798 1,564.456 (5*2π)/44288 weeks
6806.9843 1,632.067 (6*2π)/44274 weeks
7374.1938 1,661.595 (7*2π)/44263 weeks
879.62505 1,270.347 (8*2π)/44255 weeks
9160.8862 993.8911 (9*2π)/44249 weeks
10197.1001 931.2748 (10*2π)/44244 weeks
11209.442 812.5062 (11*2π)/44240 weeks
12304.9515 848.0333 (12*2π)/44237 weeks
13174.9982 968.6439 (13*2π)/44234 weeks
14-40.34209 823.8664 (14*2π)/44232 weeks
15-.26095 634.4812 (15*2π)/44229 weeks
1642.94559 606.7584 (16*2π)/44228 weeks
1748.28086 558.1505 (17*2π)/44226 weeks
1885.49738 539.7181 (18*2π)/44225 weeks
1978.30793 555.2639 (19*2π)/44223 weeks
2025.9504 572.7624 (20*2π)/44222 weeks
21-53.22135 506.4716 (21*2π)/44221 weeks
22-37.05969 404.3756 (22*2π)/44220 weeks
2315.59097 379.4802 (23*2π)/44219 weeks
2426.26972 368.9614 (24*2π)/44218 weeks
2552.24482 365.7906 (25*2π)/44218 weeks
2639.6074 402.9972 (26*2π)/44217 weeks
27-13.5748 398.5454 (27*2π)/44216 weeks
28-54.11386 345.9937 (28*2π)/44216 weeks
29-53.51011 279.4352 (29*2π)/44215 weeks
30-17.98377 235.534 (30*2π)/44215 weeks
3123.74402 225.3323 (31*2π)/44214 weeks
3261.20589 232.2191 (32*2π)/44214 weeks
3361.4059 295.4417 (33*2π)/44213 weeks
34-21.38834 287.1267 (34*2π)/44213 weeks
35-20.87577 213.5759 (35*2π)/44213 weeks
364.92014 211.2685 (36*2π)/44212 weeks
37-14.72701 183.9496 (37*2π)/44212 weeks
3828.06591 131.675 (38*2π)/44212 weeks
3975.88134 166.1925 (39*2π)/44211 weeks
4067.26595 185.9074 (40*2π)/44211 weeks
4163.04222 188.5663 (41*2π)/44211 weeks
4254.01963 185.2658 (42*2π)/44211 weeks
4356.96541 179.7724 (43*2π)/44210 weeks
4457.66914 182.5285 (44*2π)/44210 weeks
4556.10476 186.1882 (45*2π)/44210 weeks
4644.94732 189.3682 (46*2π)/44210 weeks
4730.70296 174.479 (47*2π)/4429 weeks
4829.10537 167.9665 (48*2π)/4429 weeks
4918.13189 146.89 (49*2π)/4429 weeks
5037.07495 123.1039 (50*2π)/4429 weeks
5154.92793 126.2998 (51*2π)/4429 weeks
5261.68776 134.8026 (52*2π)/4429 weeks
5357.42902 137.6496 (53*2π)/4428 weeks
5456.07238 145.3418 (54*2π)/4428 weeks
5533.79763 132.0545 (55*2π)/4428 weeks
5646.16033 101.0791 (56*2π)/4428 weeks
5773.74297 101.4311 (57*2π)/4428 weeks
5887.74441 117.3427 (58*2π)/4428 weeks
5989.80777 126.3886 (59*2π)/4427 weeks
6097.16351 149.5633 (60*2π)/4427 weeks
6161.4412 185.8388 (61*2π)/4427 weeks
625.16204 145.7829 (62*2π)/4427 weeks
6335.01707 95.03815 (63*2π)/4427 weeks
6460.45316 108.5348 (64*2π)/4427 weeks
6561.17397 108.622 (65*2π)/4427 weeks
6681.02507 122.4319 (66*2π)/4427 weeks
6754.53881 159.0775 (67*2π)/4427 weeks
689.3448 133.2459 (68*2π)/4427 weeks
6920.29091 94.05537 (69*2π)/4426 weeks
7034.42604 92.69627 (70*2π)/4426 weeks
7139.79387 85.92359 (71*2π)/4426 weeks
7246.2638 84.59863 (72*2π)/4426 weeks
7347.20739 83.09786 (73*2π)/4426 weeks
7448.43574 77.8259 (74*2π)/4426 weeks
7559.75935 66.18747 (75*2π)/4426 weeks
7685.68179 80.05019 (76*2π)/4426 weeks
7774.37208 106.5134 (77*2π)/4426 weeks
7857.97379 103.6643 (78*2π)/4426 weeks
7954.69957 101.6927 (79*2π)/4426 weeks
8044.6767 101.5242 (80*2π)/4426 weeks
8137.97858 88.17516 (81*2π)/4425 weeks
8243.61267 83.86743 (82*2π)/4425 weeks
8339.95808 86.04253 (83*2π)/4425 weeks
8433.21348 72.92083 (84*2π)/4425 weeks
8542.70058 66.83558 (85*2π)/4425 weeks
8643.67332 61.98146 (86*2π)/4425 weeks
8750.45595 60.38409 (87*2π)/4425 weeks
8853.18072 61.62431 (88*2π)/4425 weeks
8959.14447 65.18951 (89*2π)/4425 weeks
9049.07798 73.38255 (90*2π)/4425 weeks
9137.96742 58.61594 (91*2π)/4425 weeks
9253.27129 48.27658 (92*2π)/4425 weeks
9354.82648 62.12294 (93*2π)/4425 weeks
9443.37163 58.06937 (94*2π)/4425 weeks
9541.68826 46.77201 (95*2π)/4425 weeks
9642.04027 34.74801 (96*2π)/4425 weeks
9753.0723 22.01655 (97*2π)/4425 weeks
9869.33557 22.52354 (98*2π)/4425 weeks
9981.27441 22.42575 (99*2π)/4424 weeks
10098.56533 37.30528 (100*2π)/4424 weeks
10194.48117 55.04475 (101*2π)/4424 weeks
10285.12948 63.42538 (102*2π)/4424 weeks
10376.13127 69.13219 (103*2π)/4424 weeks
10460.97719 67.83714 (104*2π)/4424 weeks
10553.13577 51.57482 (105*2π)/4424 weeks
10661.26018 42.96557 (106*2π)/4424 weeks
10764.48639 41.45838 (107*2π)/4424 weeks
10869.40131 37.32635 (108*2π)/4424 weeks
10968.47627 40.19466 (109*2π)/4424 weeks
11070.45722 29.38848 (110*2π)/4424 weeks
11189.01818 27.76555 (111*2π)/4424 weeks
11294.28275 42.17834 (112*2π)/4424 weeks
11391.55528 42.53944 (113*2π)/4424 weeks
114105.5242 52.73688 (114*2π)/4424 weeks
11594.98972 76.56685 (115*2π)/4424 weeks
11675.95123 77.59964 (116*2π)/4424 weeks
11768.17728 72.06601 (117*2π)/4424 weeks
11859.69374 66.70721 (118*2π)/4424 weeks
11957.11396 56.68653 (119*2π)/4424 weeks
12066.84521 56.41229 (120*2π)/4424 weeks
12159.86154 67.89782 (121*2π)/4424 weeks
12239.95924 61.17089 (122*2π)/4424 weeks
12337.71143 41.23328 (123*2π)/4424 weeks
12444.05054 32.06422 (124*2π)/4424 weeks
12549.29704 22.92048 (125*2π)/4424 weeks
12662.55128 17.97551 (126*2π)/4424 weeks
12774.57557 26.47437 (127*2π)/4423 weeks
12866.32047 38.88037 (128*2π)/4423 weeks
12953.16203 27.07514 (129*2π)/4423 weeks
13065.96021 9.37375 (130*2π)/4423 weeks
13182.95383 15.99121 (131*2π)/4423 weeks
13287.34155 24.48989 (132*2π)/4423 weeks
13385.00309 32.58585 (133*2π)/4423 weeks
13480.98373 33.06059 (134*2π)/4423 weeks
13580.44675 29.05338 (135*2π)/4423 weeks
13688.19517 27.46702 (136*2π)/4423 weeks
13794.89126 37.23343 (137*2π)/4423 weeks
13891.70024 43.6954 (138*2π)/4423 weeks
13991.12209 53.63763 (139*2π)/4423 weeks
14077.64913 60.62545 (140*2π)/4423 weeks
14166.03582 54.27056 (141*2π)/4423 weeks
14263.83668 44.93186 (142*2π)/4423 weeks
14366.76934 43.17899 (143*2π)/4423 weeks
14463.85862 41.54425 (144*2π)/4423 weeks
14565.05461 36.02847 (145*2π)/4423 weeks
14668.1965 35.95826 (146*2π)/4423 weeks
14770.12934 34.3269 (147*2π)/4423 weeks
14873.66415 35.90261 (148*2π)/4423 weeks
14977.49001 41.81357 (149*2π)/4423 weeks
15071.49046 53.98039 (150*2π)/4423 weeks
15154.32402 52.41828 (151*2π)/4423 weeks
15247.33328 39.34313 (152*2π)/4423 weeks
15350.71613 28.89828 (153*2π)/4423 weeks
15455.09146 22.28916 (154*2π)/4423 weeks
15567.41253 15.59445 (155*2π)/4423 weeks
15684.85484 31.70192 (156*2π)/4423 weeks
15769.52386 56.48673 (157*2π)/4423 weeks
15845.70067 47.5898 (158*2π)/4423 weeks
15944.09298 36.5222 (159*2π)/4423 weeks
16036.38587 30.79822 (160*2π)/4423 weeks
16135.35284 12.09216 (161*2π)/4423 weeks
16255.77039 6.39323 (162*2π)/4423 weeks
16353.34626 24.4553 (163*2π)/4423 weeks
16433.02314 11.99195 (164*2π)/4423 weeks
16542.75833 -9.76918 (165*2π)/4423 weeks
16656.83615 -14.58732 (166*2π)/4423 weeks
16767.10879 -19.53348 (167*2π)/4423 weeks
16887.54829 -13.76745 (168*2π)/4423 weeks
16990.02988 6.70791 (169*2π)/4423 weeks
17076.30378 10.76505 (170*2π)/4423 weeks
17172.75533 1.34639 (171*2π)/4423 weeks
17281.11195 -4.84358 (172*2π)/4423 weeks
17389.05117 -7.06773 (173*2π)/4423 weeks
174106.602 -3.06986 (174*2π)/4423 weeks
175116.7329 21.91543 (175*2π)/4423 weeks
17698.31454 42.95662 (176*2π)/4423 weeks
17777.0084 40.66245 (177*2π)/4422 weeks
17865.08875 28.49442 (178*2π)/4422 weeks
17968.95177 8.46294 (179*2π)/4422 weeks
18089.41232 6.79515 (180*2π)/4422 weeks
18193.93295 22.39065 (181*2π)/4422 weeks
18290.28723 27.79306 (182*2π)/4422 weeks
18386.24427 36.80555 (183*2π)/4422 weeks
18471.2868 38.71289 (184*2π)/4422 weeks
18561.97301 26.67332 (185*2π)/4422 weeks
18668.99144 13.35235 (186*2π)/4422 weeks
18778.61608 14.49767 (187*2π)/4422 weeks
18881.13702 17.91876 (188*2π)/4422 weeks
18985.96217 21.13063 (189*2π)/4422 weeks
19083.79398 31.74041 (190*2π)/4422 weeks
19169.3851 30.34079 (191*2π)/4422 weeks
19275.72014 14.81764 (192*2π)/4422 weeks
19387.17374 26.89899 (193*2π)/4422 weeks
19477.42363 31.14735 (194*2π)/4422 weeks
19583.80218 31.42661 (195*2π)/4422 weeks
19674.96932 46.98045 (196*2π)/4422 weeks
19754.02234 36.8823 (197*2π)/4422 weeks
19861.54738 20.74839 (198*2π)/4422 weeks
19969.47034 24.93166 (199*2π)/4422 weeks
20065.62241 23.04799 (200*2π)/4422 weeks
20172.60735 20.24186 (201*2π)/4422 weeks
20279.36624 25.84047 (202*2π)/4422 weeks
20381.87053 37.37374 (203*2π)/4422 weeks
20470.38092 50.82997 (204*2π)/4422 weeks
20559.57388 48.98046 (205*2π)/4422 weeks
20647.91098 50.91331 (206*2π)/4422 weeks
20735.34303 36.20458 (207*2π)/4422 weeks
20846.84172 28.01517 (208*2π)/4422 weeks
20942.08482 41.69573 (209*2π)/4422 weeks
21023.86183 34.78106 (210*2π)/4422 weeks
21116.58432 19.47783 (211*2π)/4422 weeks
21217.6305 -1.61707 (212*2π)/4422 weeks
21335.65279 -16.81455 (213*2π)/4422 weeks
21457.23972 -12.66064 (214*2π)/4422 weeks
21566.6101 8.83205 (215*2π)/4422 weeks
21647.28474 23.65914 (216*2π)/4422 weeks
21731.1263 8.46079 (217*2π)/4422 weeks
21837.56105 -4.62373 (218*2π)/4422 weeks
21940.3978 -8.12327 (219*2π)/4422 weeks
22053.53033 -18.06165 (220*2π)/4422 weeks
22171.20779   (221*2π)/4422 weeks
22253.53033 18.06165 (222*2π)/4422 weeks
22340.3978 8.12327 (223*2π)/4422 weeks
22437.56105 4.62373 (224*2π)/4422 weeks
22531.1263 -8.46079 (225*2π)/4422 weeks
22647.28474 -23.65914 (226*2π)/4422 weeks
22766.6101 -8.83205 (227*2π)/4422 weeks
22857.23972 12.66064 (228*2π)/4422 weeks
22935.65279 16.81455 (229*2π)/4422 weeks
23017.6305 1.61707 (230*2π)/4422 weeks
23116.58432 -19.47783 (231*2π)/4422 weeks
23223.86183 -34.78106 (232*2π)/4422 weeks
23342.08482 -41.69573 (233*2π)/4422 weeks
23446.84172 -28.01517 (234*2π)/4422 weeks
23535.34303 -36.20458 (235*2π)/4422 weeks
23647.91098 -50.91331 (236*2π)/4422 weeks
23759.57388 -48.98046 (237*2π)/4422 weeks
23870.38092 -50.82997 (238*2π)/4422 weeks
23981.87053 -37.37374 (239*2π)/4422 weeks
24079.36624 -25.84047 (240*2π)/4422 weeks
24172.60735 -20.24186 (241*2π)/4422 weeks
24265.62241 -23.04799 (242*2π)/4422 weeks
24369.47034 -24.93166 (243*2π)/4422 weeks
24461.54738 -20.74839 (244*2π)/4422 weeks
24554.02234 -36.8823 (245*2π)/4422 weeks
24674.96932 -46.98045 (246*2π)/4422 weeks
24783.80218 -31.42661 (247*2π)/4422 weeks
24877.42363 -31.14735 (248*2π)/4422 weeks
24987.17374 -26.89899 (249*2π)/4422 weeks
25075.72014 -14.81764 (250*2π)/4422 weeks
25169.3851 -30.34079 (251*2π)/4422 weeks
25283.79398 -31.74041 (252*2π)/4422 weeks
25385.96217 -21.13063 (253*2π)/4422 weeks
25481.13702 -17.91876 (254*2π)/4422 weeks
25578.61608 -14.49767 (255*2π)/4422 weeks
25668.99144 -13.35235 (256*2π)/4422 weeks
25761.97301 -26.67332 (257*2π)/4422 weeks
25871.2868 -38.71289 (258*2π)/4422 weeks
25986.24427 -36.80555 (259*2π)/4422 weeks
26090.28723 -27.79306 (260*2π)/4422 weeks
26193.93295 -22.39065 (261*2π)/4422 weeks
26289.41232 -6.79515 (262*2π)/4422 weeks
26368.95177 -8.46294 (263*2π)/4422 weeks
26465.08875 -28.49442 (264*2π)/4422 weeks
26577.0084 -40.66245 (265*2π)/4422 weeks
26698.31454 -42.95662 (266*2π)/4422 weeks
267116.7329 -21.91543 (267*2π)/4422 weeks
268106.602 3.06986 (268*2π)/4422 weeks
26989.05117 7.06773 (269*2π)/4422 weeks
27081.11195 4.84358 (270*2π)/4422 weeks
27172.75533 -1.34639 (271*2π)/4422 weeks
27276.30378 -10.76505 (272*2π)/4422 weeks
27390.02988 -6.70791 (273*2π)/4422 weeks
27487.54829 13.76745 (274*2π)/4422 weeks
27567.10879 19.53348 (275*2π)/4422 weeks
27656.83615 14.58732 (276*2π)/4422 weeks
27742.75833 9.76918 (277*2π)/4422 weeks
27833.02314 -11.99195 (278*2π)/4422 weeks
27953.34626 -24.4553 (279*2π)/4422 weeks
28055.77039 -6.39323 (280*2π)/4422 weeks
28135.35284 -12.09216 (281*2π)/4422 weeks
28236.38587 -30.79822 (282*2π)/4422 weeks
28344.09298 -36.5222 (283*2π)/4422 weeks
28445.70067 -47.5898 (284*2π)/4422 weeks
28569.52386 -56.48673 (285*2π)/4422 weeks
28684.85484 -31.70192 (286*2π)/4422 weeks
28767.41253 -15.59445 (287*2π)/4422 weeks
28855.09146 -22.28916 (288*2π)/4422 weeks
28950.71613 -28.89828 (289*2π)/4422 weeks
29047.33328 -39.34313 (290*2π)/4422 weeks
29154.32402 -52.41828 (291*2π)/4422 weeks
29271.49046 -53.98039 (292*2π)/4422 weeks
29377.49001 -41.81357 (293*2π)/4422 weeks
29473.66415 -35.90261 (294*2π)/4422 weeks
29570.12934 -34.3269 (295*2π)/4421 weeks
29668.1965 -35.95826 (296*2π)/4421 weeks
29765.05461 -36.02847 (297*2π)/4421 weeks
29863.85862 -41.54425 (298*2π)/4421 weeks
29966.76934 -43.17899 (299*2π)/4421 weeks
30063.83668 -44.93186 (300*2π)/4421 weeks
30166.03582 -54.27056 (301*2π)/4421 weeks
30277.64913 -60.62545 (302*2π)/4421 weeks
30391.12209 -53.63763 (303*2π)/4421 weeks
30491.70024 -43.6954 (304*2π)/4421 weeks
30594.89126 -37.23343 (305*2π)/4421 weeks
30688.19517 -27.46702 (306*2π)/4421 weeks
30780.44675 -29.05338 (307*2π)/4421 weeks
30880.98373 -33.06059 (308*2π)/4421 weeks
30985.00309 -32.58585 (309*2π)/4421 weeks
31087.34155 -24.48989 (310*2π)/4421 weeks
31182.95383 -15.99121 (311*2π)/4421 weeks
31265.96021 -9.37375 (312*2π)/4421 weeks
31353.16203 -27.07514 (313*2π)/4421 weeks
31466.32047 -38.88037 (314*2π)/4421 weeks
31574.57557 -26.47437 (315*2π)/4421 weeks
31662.55128 -17.97551 (316*2π)/4421 weeks
31749.29704 -22.92048 (317*2π)/4421 weeks
31844.05054 -32.06422 (318*2π)/4421 weeks
31937.71143 -41.23328 (319*2π)/4421 weeks
32039.95924 -61.17089 (320*2π)/4421 weeks
32159.86154 -67.89782 (321*2π)/4421 weeks
32266.84521 -56.41229 (322*2π)/4421 weeks
32357.11396 -56.68653 (323*2π)/4421 weeks
32459.69374 -66.70721 (324*2π)/4421 weeks
32568.17728 -72.06601 (325*2π)/4421 weeks
32675.95123 -77.59964 (326*2π)/4421 weeks
32794.98972 -76.56685 (327*2π)/4421 weeks
328105.5242 -52.73688 (328*2π)/4421 weeks
32991.55528 -42.53944 (329*2π)/4421 weeks
33094.28275 -42.17834 (330*2π)/4421 weeks
33189.01818 -27.76555 (331*2π)/4421 weeks
33270.45722 -29.38848 (332*2π)/4421 weeks
33368.47627 -40.19466 (333*2π)/4421 weeks
33469.40131 -37.32635 (334*2π)/4421 weeks
33564.48639 -41.45838 (335*2π)/4421 weeks
33661.26018 -42.96557 (336*2π)/4421 weeks
33753.13577 -51.57482 (337*2π)/4421 weeks
33860.97719 -67.83714 (338*2π)/4421 weeks
33976.13127 -69.13219 (339*2π)/4421 weeks
34085.12948 -63.42538 (340*2π)/4421 weeks
34194.48117 -55.04475 (341*2π)/4421 weeks
34298.56533 -37.30528 (342*2π)/4421 weeks
34381.27441 -22.42575 (343*2π)/4421 weeks
34469.33557 -22.52354 (344*2π)/4421 weeks
34553.0723 -22.01655 (345*2π)/4421 weeks
34642.04027 -34.74801 (346*2π)/4421 weeks
34741.68826 -46.77201 (347*2π)/4421 weeks
34843.37163 -58.06937 (348*2π)/4421 weeks
34954.82648 -62.12294 (349*2π)/4421 weeks
35053.27129 -48.27658 (350*2π)/4421 weeks
35137.96742 -58.61594 (351*2π)/4421 weeks
35249.07798 -73.38255 (352*2π)/4421 weeks
35359.14447 -65.18951 (353*2π)/4421 weeks
35453.18072 -61.62431 (354*2π)/4421 weeks
35550.45595 -60.38409 (355*2π)/4421 weeks
35643.67332 -61.98146 (356*2π)/4421 weeks
35742.70058 -66.83558 (357*2π)/4421 weeks
35833.21348 -72.92083 (358*2π)/4421 weeks
35939.95808 -86.04253 (359*2π)/4421 weeks
36043.61267 -83.86743 (360*2π)/4421 weeks
36137.97858 -88.17516 (361*2π)/4421 weeks
36244.6767 -101.5242 (362*2π)/4421 weeks
36354.69957 -101.6927 (363*2π)/4421 weeks
36457.97379 -103.6643 (364*2π)/4421 weeks
36574.37208 -106.5134 (365*2π)/4421 weeks
36685.68179 -80.05019 (366*2π)/4421 weeks
36759.75935 -66.18747 (367*2π)/4421 weeks
36848.43574 -77.8259 (368*2π)/4421 weeks
36947.20739 -83.09786 (369*2π)/4421 weeks
37046.2638 -84.59863 (370*2π)/4421 weeks
37139.79387 -85.92359 (371*2π)/4421 weeks
37234.42604 -92.69627 (372*2π)/4421 weeks
37320.29091 -94.05537 (373*2π)/4421 weeks
3749.3448 -133.2459 (374*2π)/4421 weeks
37554.53881 -159.0775 (375*2π)/4421 weeks
37681.02507 -122.4319 (376*2π)/4421 weeks
37761.17397 -108.622 (377*2π)/4421 weeks
37860.45316 -108.5348 (378*2π)/4421 weeks
37935.01707 -95.03815 (379*2π)/4421 weeks
3805.16204 -145.7829 (380*2π)/4421 weeks
38161.4412 -185.8388 (381*2π)/4421 weeks
38297.16351 -149.5633 (382*2π)/4421 weeks
38389.80777 -126.3886 (383*2π)/4421 weeks
38487.74441 -117.3427 (384*2π)/4421 weeks
38573.74297 -101.4311 (385*2π)/4421 weeks
38646.16033 -101.0791 (386*2π)/4421 weeks
38733.79763 -132.0545 (387*2π)/4421 weeks
38856.07238 -145.3418 (388*2π)/4421 weeks
38957.42902 -137.6496 (389*2π)/4421 weeks
39061.68776 -134.8026 (390*2π)/4421 weeks
39154.92793 -126.2998 (391*2π)/4421 weeks
39237.07495 -123.1039 (392*2π)/4421 weeks
39318.13189 -146.89 (393*2π)/4421 weeks
39429.10537 -167.9665 (394*2π)/4421 weeks
39530.70296 -174.479 (395*2π)/4421 weeks
39644.94732 -189.3682 (396*2π)/4421 weeks
39756.10476 -186.1882 (397*2π)/4421 weeks
39857.66914 -182.5285 (398*2π)/4421 weeks
39956.96541 -179.7724 (399*2π)/4421 weeks
40054.01963 -185.2658 (400*2π)/4421 weeks
40163.04222 -188.5663 (401*2π)/4421 weeks
40267.26595 -185.9074 (402*2π)/4421 weeks
40375.88134 -166.1925 (403*2π)/4421 weeks
40428.06591 -131.675 (404*2π)/4421 weeks
405-14.72701 -183.9496 (405*2π)/4421 weeks
4064.92014 -211.2685 (406*2π)/4421 weeks
407-20.87577 -213.5759 (407*2π)/4421 weeks
408-21.38834 -287.1267 (408*2π)/4421 weeks
40961.4059 -295.4417 (409*2π)/4421 weeks
41061.20589 -232.2191 (410*2π)/4421 weeks
41123.74402 -225.3323 (411*2π)/4421 weeks
412-17.98377 -235.534 (412*2π)/4421 weeks
413-53.51011 -279.4352 (413*2π)/4421 weeks
414-54.11386 -345.9937 (414*2π)/4421 weeks
415-13.5748 -398.5454 (415*2π)/4421 weeks
41639.6074 -402.9972 (416*2π)/4421 weeks
41752.24482 -365.7906 (417*2π)/4421 weeks
41826.26972 -368.9614 (418*2π)/4421 weeks
41915.59097 -379.4802 (419*2π)/4421 weeks
420-37.05969 -404.3756 (420*2π)/4421 weeks
421-53.22135 -506.4716 (421*2π)/4421 weeks
42225.9504 -572.7624 (422*2π)/4421 weeks
42378.30793 -555.2639 (423*2π)/4421 weeks
42485.49738 -539.7181 (424*2π)/4421 weeks
42548.28086 -558.1505 (425*2π)/4421 weeks
42642.94559 -606.7584 (426*2π)/4421 weeks
427-.26095 -634.4812 (427*2π)/4421 weeks
428-40.34209 -823.8664 (428*2π)/4421 weeks
429174.9982 -968.6439 (429*2π)/4421 weeks
430304.9515 -848.0333 (430*2π)/4421 weeks
431209.442 -812.5062 (431*2π)/4421 weeks
432197.1001 -931.2748 (432*2π)/4421 weeks
433160.8862 -993.8911 (433*2π)/4421 weeks
43479.62505 -1,270.347 (434*2π)/4421 weeks
435374.1938 -1,661.595 (435*2π)/4421 weeks
436806.9843 -1,632.067 (436*2π)/4421 weeks
437767.1798 -1,564.456 (437*2π)/4421 weeks
438874.3936 -2,090.85 (438*2π)/4421 weeks
4391,626.64 -2,440.946 (439*2π)/4421 weeks
4402,365.56 -2,569.06 (440*2π)/4421 weeks



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