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Fourier Analysis of TVIX (VelocityShares Daily 2X VIX Short-Term ETN)


TVIX (VelocityShares Daily 2X VIX Short-Term ETN) appears to have interesting cyclic behaviour every 37 weeks (40179.28*sine), 34 weeks (37620.8*sine), and 27 weeks (11356.65*cosine).

TVIX (VelocityShares Daily 2X VIX Short-Term ETN) has an average price of 267,955.1 (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 11/30/2010 to 1/8/2018 for TVIX (VelocityShares Daily 2X VIX Short-Term ETN), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0267,955.1   0 
1303,615.2 343,123.5 (1*2π)/372372 weeks
2-11,477.99 295,649.9 (2*2π)/372186 weeks
3-79,153.88 99,241.41 (3*2π)/372124 weeks
44,544.17 24,189.19 (4*2π)/37293 weeks
542,687.75 62,028.9 (5*2π)/37274 weeks
66,034.919 82,902.14 (6*2π)/37262 weeks
7-19,587.88 50,482.13 (7*2π)/37253 weeks
8-3,332.057 22,521.81 (8*2π)/37247 weeks
915,136.26 28,971.61 (9*2π)/37241 weeks
1010,155.33 40,179.28 (10*2π)/37237 weeks
11-3,366.81 37,620.8 (11*2π)/37234 weeks
12-6,490.326 21,752.74 (12*2π)/37231 weeks
136,219.613 15,232 (13*2π)/37229 weeks
1411,356.65 25,206.52 (14*2π)/37227 weeks
151,242.012 29,494.55 (15*2π)/37225 weeks
16-5,449.239 18,595.32 (16*2π)/37223 weeks
173,560.516 11,490.63 (17*2π)/37222 weeks
188,857.202 17,832.98 (18*2π)/37221 weeks
193,105.667 21,985.16 (19*2π)/37220 weeks
20-2,253.4 16,591.16 (20*2π)/37219 weeks
211,542.255 10,665.43 (21*2π)/37218 weeks
226,859.015 13,001.27 (22*2π)/37217 weeks
233,571.76 17,379.92 (23*2π)/37216 weeks
24-336.05 13,716.74 (24*2π)/37216 weeks
252,413.771 10,224.19 (25*2π)/37215 weeks
263,933.483 11,966.43 (26*2π)/37214 weeks
273,178.124 11,915.41 (27*2π)/37214 weeks
282,663.084 12,168.21 (28*2π)/37213 weeks
291,383.417 10,665.94 (29*2π)/37213 weeks
302,980.249 9,027.523 (30*2π)/37212 weeks
314,013.956 10,703.55 (31*2π)/37212 weeks
321,394.504 10,504.34 (32*2π)/37212 weeks
332,798.458 8,038.679 (33*2π)/37211 weeks
343,875.838 9,717.872 (34*2π)/37211 weeks
351,575.695 9,935.594 (35*2π)/37211 weeks
361,742.248 7,147.733 (36*2π)/37210 weeks
374,374.221 7,377.86 (37*2π)/37210 weeks
383,674.075 9,936.349 (38*2π)/37210 weeks
39507.085 9,161.15 (39*2π)/37210 weeks
401,335.561 4,855.723 (40*2π)/3729 weeks
415,952.178 6,303.737 (41*2π)/3729 weeks
423,591.526 10,874.81 (42*2π)/3729 weeks
43-1,236.625 7,571.11 (43*2π)/3729 weeks
442,783.707 2,906.786 (44*2π)/3728 weeks
456,329.991 7,443.749 (45*2π)/3728 weeks
461,755.156 9,582.499 (46*2π)/3728 weeks
47127.8112 5,456.638 (47*2π)/3728 weeks
483,628.599 4,241.662 (48*2π)/3728 weeks
494,319.837 6,779.061 (49*2π)/3728 weeks
502,113.107 7,491.88 (50*2π)/3727 weeks
511,527.529 5,158.84 (51*2π)/3727 weeks
523,305.601 5,069.232 (52*2π)/3727 weeks
532,895.561 5,997.146 (53*2π)/3727 weeks
542,605.467 5,339.139 (54*2π)/3727 weeks
553,039.521 5,615.026 (55*2π)/3727 weeks
562,169.243 5,702.783 (56*2π)/3727 weeks
572,108.905 4,445.227 (57*2π)/3727 weeks
583,695.32 4,299.086 (58*2π)/3726 weeks
593,362.339 6,342.451 (59*2π)/3726 weeks
601,124.572 5,304.985 (60*2π)/3726 weeks
612,306.799 3,071.224 (61*2π)/3726 weeks
624,521.105 4,415.564 (62*2π)/3726 weeks
632,739.171 6,564.352 (63*2π)/3726 weeks
64617.6606 4,196.298 (64*2π)/3726 weeks
653,254.925 2,409.149 (65*2π)/3726 weeks
664,536.089 5,093.034 (66*2π)/3726 weeks
671,793.675 5,920.749 (67*2π)/3726 weeks
681,088.212 3,249.655 (68*2π)/3725 weeks
693,669.697 2,388.345 (69*2π)/3725 weeks
704,380.047 5,286.04 (70*2π)/3725 weeks
711,121.245 5,378.338 (71*2π)/3725 weeks
721,659.784 2,263.847 (72*2π)/3725 weeks
734,051.619 2,990.917 (73*2π)/3725 weeks
743,390.85 4,925.953 (74*2π)/3725 weeks
751,766.494 4,269.921 (75*2π)/3725 weeks
761,958.181 2,956.011 (76*2π)/3725 weeks
773,181.594 2,630.746 (77*2π)/3725 weeks
783,731.985 3,943.221 (78*2π)/3725 weeks
792,285.238 4,407.71 (79*2π)/3725 weeks
801,634.066 3,154.962 (80*2π)/3725 weeks
812,755.396 2,232.278 (81*2π)/3725 weeks
823,824.055 2,984.467 (82*2π)/3725 weeks
833,166.59 4,587.805 (83*2π)/3724 weeks
84970.2475 3,670.048 (84*2π)/3724 weeks
852,320.126 1,202.995 (85*2π)/3724 weeks
864,492.544 2,701.931 (86*2π)/3724 weeks
873,026.473 4,765.984 (87*2π)/3724 weeks
88980.6064 3,251.333 (88*2π)/3724 weeks
892,299.85 1,289.398 (89*2π)/3724 weeks
904,234.019 2,379.02 (90*2π)/3724 weeks
913,051.49 4,183.037 (91*2π)/3724 weeks
921,608.137 3,181.218 (92*2π)/3724 weeks
932,046.605 1,791.969 (93*2π)/3724 weeks
943,397.898 1,831.902 (94*2π)/3724 weeks
953,738.807 3,221.517 (95*2π)/3724 weeks
962,078.116 3,744.955 (96*2π)/3724 weeks
971,450.351 1,877.579 (97*2π)/3724 weeks
983,206.632 1,288.873 (98*2π)/3724 weeks
993,960.219 2,841.513 (99*2π)/3724 weeks
1002,305.477 3,602.124 (100*2π)/3724 weeks
1011,511.718 2,168.458 (101*2π)/3724 weeks
1022,728.586 1,031.467 (102*2π)/3724 weeks
1034,046.248 2,269.358 (103*2π)/3724 weeks
1042,662.394 3,628.328 (104*2π)/3724 weeks
1051,314.033 2,115.322 (105*2π)/3724 weeks
1062,833.094 861.3525 (106*2π)/3724 weeks
1073,828.466 2,278.566 (107*2π)/3723 weeks
1082,582.877 3,121.69 (108*2π)/3723 weeks
1091,660.67 1,944.318 (109*2π)/3723 weeks
1102,907.605 990.1505 (110*2π)/3723 weeks
1113,561.038 2,404.956 (111*2π)/3723 weeks
1122,147.105 2,532.019 (112*2π)/3723 weeks
1132,327.105 1,374.283 (113*2π)/3723 weeks
1143,246.366 1,657.583 (114*2π)/3723 weeks
1152,681.906 2,476.322 (115*2π)/3723 weeks
1162,063.152 1,500.326 (116*2π)/3723 weeks
1173,227.461 1,301.46 (117*2π)/3723 weeks
1183,000.236 2,393.061 (118*2π)/3723 weeks
1191,953.701 1,847.825 (119*2π)/3723 weeks
1202,716.874 973.9204 (120*2π)/3723 weeks
1213,334.738 1,758.189 (121*2π)/3723 weeks
1222,470.395 2,232.603 (122*2π)/3723 weeks
1232,161.385 1,201.994 (123*2π)/3723 weeks
1243,184.765 1,236.718 (124*2π)/3723 weeks
1252,786.798 2,037.879 (125*2π)/3723 weeks
1262,169.046 1,379.735 (126*2π)/3723 weeks
1273,026.219 995.473 (127*2π)/3723 weeks
1283,053.846 1,953.176 (128*2π)/3723 weeks
1292,038.486 1,682.893 (129*2π)/3723 weeks
1302,490.025 582.2614 (130*2π)/3723 weeks
1313,581.494 1,251.295 (131*2π)/3723 weeks
1322,716.483 2,313.984 (132*2π)/3723 weeks
1331,593.043 1,208.266 (133*2π)/3723 weeks
1342,900.373 93.5339 (134*2π)/3723 weeks
1353,842.757 1,646.639 (135*2π)/3723 weeks
1362,163.404 2,203.718 (136*2π)/3723 weeks
1371,853.964 652.923 (137*2π)/3723 weeks
1383,174.815 489.2849 (138*2π)/3723 weeks
1393,165.358 1,443.589 (139*2π)/3723 weeks
1402,616.87 1,573.571 (140*2π)/3723 weeks
1412,152.722 1,097.561 (141*2π)/3723 weeks
1422,590.973 525.1655 (142*2π)/3723 weeks
1433,231.999 830.0203 (143*2π)/3723 weeks
1442,876.744 1,570.725 (144*2π)/3723 weeks
1452,222.324 1,136.267 (145*2π)/3723 weeks
1462,391.781 604.0491 (146*2π)/3723 weeks
1473,034.33 495.3521 (147*2π)/3723 weeks
1483,165.371 1,228.257 (148*2π)/3723 weeks
1492,360.811 1,432.311 (149*2π)/3722 weeks
1502,096.411 470.9584 (150*2π)/3722 weeks
1513,038.217 240.4999 (151*2π)/3722 weeks
1523,312.929 1,116.526 (152*2π)/3722 weeks
1532,321.673 1,436.063 (153*2π)/3722 weeks
1542,041.036 315.797 (154*2π)/3722 weeks
1553,191.953 119.0728 (155*2π)/3722 weeks
1563,140.85 1,276.089 (156*2π)/3722 weeks
1572,152.752 943.6959 (157*2π)/3722 weeks
1582,529.075 184.603 (158*2π)/3722 weeks
1593,099.073 608.0394 (159*2π)/3722 weeks
1602,535.42 857.8713 (160*2π)/3722 weeks
1612,657.223 354.7494 (161*2π)/3722 weeks
1622,875.024 724.0119 (162*2π)/3722 weeks
1632,359.258 652.3267 (163*2π)/3722 weeks
1642,689.736 20.2403 (164*2π)/3722 weeks
1653,220.659 653.361 (165*2π)/3722 weeks
1662,424.968 1,026.423 (166*2π)/3722 weeks
1672,043.19 -13.56948 (167*2π)/3722 weeks
1683,345.323 -156.5377 (168*2π)/3722 weeks
1693,178.939 1,147.87 (169*2π)/3722 weeks
1701,787.51 823.199 (170*2π)/3722 weeks
1712,359.997 -758.8362 (171*2π)/3722 weeks
1723,845.407 229.47 (172*2π)/3722 weeks
1732,675.018 1,405.13 (173*2π)/3722 weeks
1741,568.341 205.5457 (174*2π)/3722 weeks
1752,794.244 -901.1498 (175*2π)/3722 weeks
1763,900.367 420.1129 (176*2π)/3722 weeks
1772,393.566 1,421.591 (177*2π)/3722 weeks
1781,512.376 -211.9751 (178*2π)/3722 weeks
1793,095.354 -939.6607 (179*2π)/3722 weeks
1803,779.587 561.4097 (180*2π)/3722 weeks
1812,215.394 1,126.875 (181*2π)/3722 weeks
1821,777.802 -362.054 (182*2π)/3722 weeks
1833,083.267 -724.8198 (183*2π)/3722 weeks
1843,396.59 297.6032 (184*2π)/3722 weeks
1852,565.837 717.5333 (185*2π)/3722 weeks
1862,005.434   (186*2π)/3722 weeks
1872,565.837 -717.5333 (187*2π)/3722 weeks
1883,396.59 -297.6032 (188*2π)/3722 weeks
1893,083.267 724.8198 (189*2π)/3722 weeks
1901,777.802 362.054 (190*2π)/3722 weeks
1912,215.394 -1,126.875 (191*2π)/3722 weeks
1923,779.587 -561.4097 (192*2π)/3722 weeks
1933,095.354 939.6607 (193*2π)/3722 weeks
1941,512.376 211.9751 (194*2π)/3722 weeks
1952,393.566 -1,421.591 (195*2π)/3722 weeks
1963,900.367 -420.1129 (196*2π)/3722 weeks
1972,794.244 901.1498 (197*2π)/3722 weeks
1981,568.341 -205.5457 (198*2π)/3722 weeks
1992,675.018 -1,405.13 (199*2π)/3722 weeks
2003,845.407 -229.47 (200*2π)/3722 weeks
2012,359.997 758.8362 (201*2π)/3722 weeks
2021,787.51 -823.199 (202*2π)/3722 weeks
2033,178.939 -1,147.87 (203*2π)/3722 weeks
2043,345.323 156.5377 (204*2π)/3722 weeks
2052,043.19 13.56948 (205*2π)/3722 weeks
2062,424.968 -1,026.423 (206*2π)/3722 weeks
2073,220.659 -653.361 (207*2π)/3722 weeks
2082,689.736 -20.2403 (208*2π)/3722 weeks
2092,359.258 -652.3267 (209*2π)/3722 weeks
2102,875.024 -724.0119 (210*2π)/3722 weeks
2112,657.223 -354.7494 (211*2π)/3722 weeks
2122,535.42 -857.8713 (212*2π)/3722 weeks
2133,099.073 -608.0394 (213*2π)/3722 weeks
2142,529.075 -184.603 (214*2π)/3722 weeks
2152,152.752 -943.6959 (215*2π)/3722 weeks
2163,140.85 -1,276.089 (216*2π)/3722 weeks
2173,191.953 -119.0728 (217*2π)/3722 weeks
2182,041.036 -315.797 (218*2π)/3722 weeks
2192,321.673 -1,436.063 (219*2π)/3722 weeks
2203,312.929 -1,116.526 (220*2π)/3722 weeks
2213,038.217 -240.4999 (221*2π)/3722 weeks
2222,096.411 -470.9584 (222*2π)/3722 weeks
2232,360.811 -1,432.311 (223*2π)/3722 weeks
2243,165.371 -1,228.257 (224*2π)/3722 weeks
2253,034.33 -495.3521 (225*2π)/3722 weeks
2262,391.781 -604.0491 (226*2π)/3722 weeks
2272,222.324 -1,136.267 (227*2π)/3722 weeks
2282,876.744 -1,570.725 (228*2π)/3722 weeks
2293,231.999 -830.0203 (229*2π)/3722 weeks
2302,590.973 -525.1655 (230*2π)/3722 weeks
2312,152.722 -1,097.561 (231*2π)/3722 weeks
2322,616.87 -1,573.571 (232*2π)/3722 weeks
2333,165.358 -1,443.589 (233*2π)/3722 weeks
2343,174.815 -489.2849 (234*2π)/3722 weeks
2351,853.964 -652.923 (235*2π)/3722 weeks
2362,163.404 -2,203.718 (236*2π)/3722 weeks
2373,842.757 -1,646.639 (237*2π)/3722 weeks
2382,900.373 -93.5339 (238*2π)/3722 weeks
2391,593.043 -1,208.266 (239*2π)/3722 weeks
2402,716.483 -2,313.984 (240*2π)/3722 weeks
2413,581.494 -1,251.295 (241*2π)/3722 weeks
2422,490.025 -582.2614 (242*2π)/3722 weeks
2432,038.486 -1,682.893 (243*2π)/3722 weeks
2443,053.846 -1,953.176 (244*2π)/3722 weeks
2453,026.219 -995.473 (245*2π)/3722 weeks
2462,169.046 -1,379.735 (246*2π)/3722 weeks
2472,786.798 -2,037.879 (247*2π)/3722 weeks
2483,184.765 -1,236.718 (248*2π)/3722 weeks
2492,161.385 -1,201.994 (249*2π)/3721 weeks
2502,470.395 -2,232.603 (250*2π)/3721 weeks
2513,334.738 -1,758.189 (251*2π)/3721 weeks
2522,716.874 -973.9204 (252*2π)/3721 weeks
2531,953.701 -1,847.825 (253*2π)/3721 weeks
2543,000.236 -2,393.061 (254*2π)/3721 weeks
2553,227.461 -1,301.46 (255*2π)/3721 weeks
2562,063.152 -1,500.326 (256*2π)/3721 weeks
2572,681.906 -2,476.322 (257*2π)/3721 weeks
2583,246.366 -1,657.583 (258*2π)/3721 weeks
2592,327.105 -1,374.283 (259*2π)/3721 weeks
2602,147.105 -2,532.019 (260*2π)/3721 weeks
2613,561.038 -2,404.956 (261*2π)/3721 weeks
2622,907.605 -990.1505 (262*2π)/3721 weeks
2631,660.67 -1,944.318 (263*2π)/3721 weeks
2642,582.877 -3,121.69 (264*2π)/3721 weeks
2653,828.466 -2,278.566 (265*2π)/3721 weeks
2662,833.094 -861.3525 (266*2π)/3721 weeks
2671,314.033 -2,115.322 (267*2π)/3721 weeks
2682,662.394 -3,628.328 (268*2π)/3721 weeks
2694,046.248 -2,269.358 (269*2π)/3721 weeks
2702,728.586 -1,031.467 (270*2π)/3721 weeks
2711,511.718 -2,168.458 (271*2π)/3721 weeks
2722,305.477 -3,602.124 (272*2π)/3721 weeks
2733,960.219 -2,841.513 (273*2π)/3721 weeks
2743,206.632 -1,288.873 (274*2π)/3721 weeks
2751,450.351 -1,877.579 (275*2π)/3721 weeks
2762,078.116 -3,744.955 (276*2π)/3721 weeks
2773,738.807 -3,221.517 (277*2π)/3721 weeks
2783,397.898 -1,831.902 (278*2π)/3721 weeks
2792,046.605 -1,791.969 (279*2π)/3721 weeks
2801,608.137 -3,181.218 (280*2π)/3721 weeks
2813,051.49 -4,183.037 (281*2π)/3721 weeks
2824,234.019 -2,379.02 (282*2π)/3721 weeks
2832,299.85 -1,289.398 (283*2π)/3721 weeks
284980.6064 -3,251.333 (284*2π)/3721 weeks
2853,026.473 -4,765.984 (285*2π)/3721 weeks
2864,492.544 -2,701.931 (286*2π)/3721 weeks
2872,320.126 -1,202.995 (287*2π)/3721 weeks
288970.2475 -3,670.048 (288*2π)/3721 weeks
2893,166.59 -4,587.805 (289*2π)/3721 weeks
2903,824.055 -2,984.467 (290*2π)/3721 weeks
2912,755.396 -2,232.278 (291*2π)/3721 weeks
2921,634.066 -3,154.962 (292*2π)/3721 weeks
2932,285.238 -4,407.71 (293*2π)/3721 weeks
2943,731.985 -3,943.221 (294*2π)/3721 weeks
2953,181.594 -2,630.746 (295*2π)/3721 weeks
2961,958.181 -2,956.011 (296*2π)/3721 weeks
2971,766.494 -4,269.921 (297*2π)/3721 weeks
2983,390.85 -4,925.953 (298*2π)/3721 weeks
2994,051.619 -2,990.917 (299*2π)/3721 weeks
3001,659.784 -2,263.847 (300*2π)/3721 weeks
3011,121.245 -5,378.338 (301*2π)/3721 weeks
3024,380.047 -5,286.04 (302*2π)/3721 weeks
3033,669.697 -2,388.345 (303*2π)/3721 weeks
3041,088.212 -3,249.655 (304*2π)/3721 weeks
3051,793.675 -5,920.749 (305*2π)/3721 weeks
3064,536.089 -5,093.034 (306*2π)/3721 weeks
3073,254.925 -2,409.149 (307*2π)/3721 weeks
308617.6606 -4,196.298 (308*2π)/3721 weeks
3092,739.171 -6,564.352 (309*2π)/3721 weeks
3104,521.105 -4,415.564 (310*2π)/3721 weeks
3112,306.799 -3,071.224 (311*2π)/3721 weeks
3121,124.572 -5,304.985 (312*2π)/3721 weeks
3133,362.339 -6,342.451 (313*2π)/3721 weeks
3143,695.32 -4,299.086 (314*2π)/3721 weeks
3152,108.905 -4,445.227 (315*2π)/3721 weeks
3162,169.243 -5,702.783 (316*2π)/3721 weeks
3173,039.521 -5,615.026 (317*2π)/3721 weeks
3182,605.467 -5,339.139 (318*2π)/3721 weeks
3192,895.561 -5,997.146 (319*2π)/3721 weeks
3203,305.601 -5,069.232 (320*2π)/3721 weeks
3211,527.529 -5,158.84 (321*2π)/3721 weeks
3222,113.107 -7,491.88 (322*2π)/3721 weeks
3234,319.837 -6,779.061 (323*2π)/3721 weeks
3243,628.599 -4,241.662 (324*2π)/3721 weeks
325127.8112 -5,456.638 (325*2π)/3721 weeks
3261,755.156 -9,582.499 (326*2π)/3721 weeks
3276,329.991 -7,443.749 (327*2π)/3721 weeks
3282,783.707 -2,906.786 (328*2π)/3721 weeks
329-1,236.625 -7,571.11 (329*2π)/3721 weeks
3303,591.526 -10,874.81 (330*2π)/3721 weeks
3315,952.178 -6,303.737 (331*2π)/3721 weeks
3321,335.561 -4,855.723 (332*2π)/3721 weeks
333507.085 -9,161.15 (333*2π)/3721 weeks
3343,674.075 -9,936.349 (334*2π)/3721 weeks
3354,374.221 -7,377.86 (335*2π)/3721 weeks
3361,742.248 -7,147.733 (336*2π)/3721 weeks
3371,575.695 -9,935.594 (337*2π)/3721 weeks
3383,875.838 -9,717.872 (338*2π)/3721 weeks
3392,798.458 -8,038.679 (339*2π)/3721 weeks
3401,394.504 -10,504.34 (340*2π)/3721 weeks
3414,013.956 -10,703.55 (341*2π)/3721 weeks
3422,980.249 -9,027.523 (342*2π)/3721 weeks
3431,383.417 -10,665.94 (343*2π)/3721 weeks
3442,663.084 -12,168.21 (344*2π)/3721 weeks
3453,178.124 -11,915.41 (345*2π)/3721 weeks
3463,933.483 -11,966.43 (346*2π)/3721 weeks
3472,413.771 -10,224.19 (347*2π)/3721 weeks
348-336.05 -13,716.74 (348*2π)/3721 weeks
3493,571.76 -17,379.92 (349*2π)/3721 weeks
3506,859.015 -13,001.27 (350*2π)/3721 weeks
3511,542.255 -10,665.43 (351*2π)/3721 weeks
352-2,253.4 -16,591.16 (352*2π)/3721 weeks
3533,105.667 -21,985.16 (353*2π)/3721 weeks
3548,857.202 -17,832.98 (354*2π)/3721 weeks
3553,560.516 -11,490.63 (355*2π)/3721 weeks
356-5,449.239 -18,595.32 (356*2π)/3721 weeks
3571,242.012 -29,494.55 (357*2π)/3721 weeks
35811,356.65 -25,206.52 (358*2π)/3721 weeks
3596,219.613 -15,232 (359*2π)/3721 weeks
360-6,490.326 -21,752.74 (360*2π)/3721 weeks
361-3,366.81 -37,620.8 (361*2π)/3721 weeks
36210,155.33 -40,179.28 (362*2π)/3721 weeks
36315,136.26 -28,971.61 (363*2π)/3721 weeks
364-3,332.057 -22,521.81 (364*2π)/3721 weeks
365-19,587.88 -50,482.13 (365*2π)/3721 weeks
3666,034.919 -82,902.14 (366*2π)/3721 weeks
36742,687.75 -62,028.9 (367*2π)/3721 weeks
3684,544.17 -24,189.19 (368*2π)/3721 weeks
369-79,153.88 -99,241.41 (369*2π)/3721 weeks
370-11,477.99 -295,649.9 (370*2π)/3721 weeks



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