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Fourier Analysis of TVIX (VelocityShares Daily 2x VIX ST ETN)


TVIX (VelocityShares Daily 2x VIX ST ETN) appears to have interesting cyclic behaviour every 35 weeks (39197.56*sine), 39 weeks (36019.95*sine), and 39 weeks (13297.41*cosine).

TVIX (VelocityShares Daily 2x VIX ST ETN) has an average price of 258,236.8 (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 4/16/2018 for TVIX (VelocityShares Daily 2x VIX ST ETN), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0258,236.8   0 
1305,407.3 325,435 (1*2π)/386386 weeks
24,071.415 297,398 (2*2π)/386193 weeks
3-80,217.62 113,007.5 (3*2π)/386129 weeks
4-7,801.479 24,257.57 (4*2π)/38697 weeks
541,359.3 51,180.93 (5*2π)/38677 weeks
615,656.52 80,981.23 (6*2π)/38664 weeks
7-16,926.71 58,461.89 (7*2π)/38655 weeks
8-10,394.5 26,171.87 (8*2π)/38648 weeks
911,433.13 23,516.85 (9*2π)/38643 weeks
1013,297.41 36,019.95 (10*2π)/38639 weeks
111,983.222 39,197.56 (11*2π)/38635 weeks
12-7,408.165 28,059.56 (12*2π)/38632 weeks
13-528.3937 15,238.36 (13*2π)/38630 weeks
1410,765.88 18,529.98 (14*2π)/38628 weeks
157,455.042 27,929.33 (15*2π)/38626 weeks
16-3,291.499 25,443.47 (16*2π)/38624 weeks
17-2,966.867 13,453.54 (17*2π)/38623 weeks
186,518.543 12,314.94 (18*2π)/38621 weeks
197,557.177 19,355.7 (19*2π)/38620 weeks
20993.0239 20,610.1 (20*2π)/38619 weeks
21-2,019.817 14,101.86 (21*2π)/38618 weeks
222,744.354 10,039.88 (22*2π)/38618 weeks
236,755.891 13,544.56 (23*2π)/38617 weeks
242,678.957 16,675.04 (24*2π)/38616 weeks
25-323.4795 12,721.68 (25*2π)/38615 weeks
262,544.554 9,861.543 (26*2π)/38615 weeks
273,769.902 11,558.61 (27*2π)/38614 weeks
283,062.064 11,487.47 (28*2π)/38614 weeks
292,639.786 11,725.37 (29*2π)/38613 weeks
301,349.143 10,498.34 (30*2π)/38613 weeks
312,587.408 8,719.275 (31*2π)/38612 weeks
323,985.972 9,941.461 (32*2π)/38612 weeks
331,780.178 10,647.74 (33*2π)/38612 weeks
342,040.134 7,886.581 (34*2π)/38611 weeks
353,849.226 8,808.949 (35*2π)/38611 weeks
362,285.079 10,000.98 (36*2π)/38611 weeks
371,118.057 7,711.405 (37*2π)/38610 weeks
383,339.305 6,499.723 (38*2π)/38610 weeks
394,358.645 8,721.029 (39*2π)/38610 weeks
401,867.924 9,754.532 (40*2π)/38610 weeks
41-33.15164 6,656.74 (41*2π)/3869 weeks
423,694.68 4,299.648 (42*2π)/3869 weeks
435,771.821 8,425.173 (43*2π)/3869 weeks
441,039.332 10,277.1 (44*2π)/3869 weeks
45-781.0313 4,894.678 (45*2π)/3869 weeks
464,740.036 3,457.632 (46*2π)/3868 weeks
475,210.5 8,646.019 (47*2π)/3868 weeks
48664.4794 8,485.315 (48*2π)/3868 weeks
49688.9736 4,457.848 (49*2π)/3868 weeks
503,956.884 4,488.933 (50*2π)/3868 weeks
513,956.916 6,822.782 (51*2π)/3868 weeks
521,778.34 7,059.965 (52*2π)/3867 weeks
531,598.773 4,832.43 (53*2π)/3867 weeks
543,217.26 4,939.088 (54*2π)/3867 weeks
552,785.301 5,779.27 (55*2π)/3867 weeks
562,494.629 5,161.866 (56*2π)/3867 weeks
572,940.785 5,361.978 (57*2π)/3867 weeks
582,186.698 5,571.198 (58*2π)/3867 weeks
591,927.904 4,457.5 (59*2π)/3867 weeks
603,270.903 3,958.354 (60*2π)/3866 weeks
613,660.632 5,766.602 (61*2π)/3866 weeks
621,397.982 5,705.569 (62*2π)/3866 weeks
631,559.396 3,352.96 (63*2π)/3866 weeks
643,964.085 3,437.164 (64*2π)/3866 weeks
653,692.834 5,939.749 (65*2π)/3866 weeks
66884.6445 5,391.889 (66*2π)/3866 weeks
671,710.741 2,469.105 (67*2π)/3866 weeks
684,410.881 3,450.426 (68*2π)/3866 weeks
693,221.765 5,898.102 (69*2π)/3866 weeks
70892.8945 4,638.792 (70*2π)/3866 weeks
711,904.613 2,317.174 (71*2π)/3865 weeks
724,396.176 3,142.422 (72*2π)/3865 weeks
733,222.701 5,804.571 (73*2π)/3865 weeks
74613.554 4,144.527 (74*2π)/3865 weeks
752,409.575 1,976.883 (75*2π)/3865 weeks
764,049.467 3,413.583 (76*2π)/3865 weeks
772,848.143 4,842.558 (77*2π)/3865 weeks
781,630.191 3,868.765 (78*2π)/3865 weeks
792,005.316 2,725.904 (79*2π)/3865 weeks
803,188.502 2,594.82 (80*2π)/3865 weeks
813,549.489 3,894.393 (81*2π)/3865 weeks
822,168.811 4,228.819 (82*2π)/3865 weeks
831,572.833 3,056.377 (83*2π)/3865 weeks
842,590.223 2,148.848 (84*2π)/3865 weeks
853,630.982 2,768.354 (85*2π)/3865 weeks
863,271.396 4,289.552 (86*2π)/3864 weeks
871,158.022 3,925.445 (87*2π)/3864 weeks
881,683.878 1,367.202 (88*2π)/3864 weeks
894,123.916 2,028.308 (89*2π)/3864 weeks
903,590.666 4,330.965 (90*2π)/3864 weeks
911,237.91 3,875.08 (91*2π)/3864 weeks
921,503.285 1,611.085 (92*2π)/3864 weeks
933,601.081 1,559.309 (93*2π)/3864 weeks
943,765.329 3,620.294 (94*2π)/3864 weeks
951,924.522 3,687.254 (95*2π)/3864 weeks
961,558.119 2,301.71 (96*2π)/3864 weeks
972,629.618 1,530.128 (97*2π)/3864 weeks
983,641.231 2,249.417 (98*2π)/3864 weeks
993,093.882 3,609.446 (99*2π)/3864 weeks
1001,442.569 3,105.698 (100*2π)/3864 weeks
1011,885.161 1,300.283 (101*2π)/3864 weeks
1023,515.176 1,541.173 (102*2π)/3864 weeks
1033,556.132 3,193.461 (103*2π)/3864 weeks
1041,875.878 3,248.952 (104*2π)/3864 weeks
1051,534.784 1,784.669 (105*2π)/3864 weeks
1062,919.651 1,017.584 (106*2π)/3864 weeks
1073,884.012 2,427.096 (107*2π)/3864 weeks
1082,387.229 3,478.545 (108*2π)/3864 weeks
1091,277.586 1,937.687 (109*2π)/3864 weeks
1102,751.209 833.4389 (110*2π)/3864 weeks
1113,698.764 2,152.699 (111*2π)/3863 weeks
1122,584.728 3,018.997 (112*2π)/3863 weeks
1131,598.474 2,034.826 (113*2π)/3863 weeks
1142,567.025 935.9794 (114*2π)/3863 weeks
1153,539.428 2,043.825 (115*2π)/3863 weeks
1162,306.428 2,635.127 (116*2π)/3863 weeks
1172,034.208 1,510.237 (117*2π)/3863 weeks
1182,956.499 1,368.136 (118*2π)/3863 weeks
1192,938.145 2,269.541 (119*2π)/3863 weeks
1201,960.204 1,916.452 (120*2π)/3863 weeks
1212,659.969 1,035.257 (121*2π)/3863 weeks
1223,237.511 1,928.977 (122*2π)/3863 weeks
1232,226.217 2,275.057 (123*2π)/3863 weeks
1242,063.692 1,159.937 (124*2π)/3863 weeks
1253,075.748 1,168.042 (125*2π)/3863 weeks
1262,977.683 2,068.113 (126*2π)/3863 weeks
1272,038.908 1,856.806 (127*2π)/3863 weeks
1282,437.683 923.1094 (128*2π)/3863 weeks
1293,132.185 1,520.226 (129*2π)/3863 weeks
1302,410.717 1,926.257 (130*2π)/3863 weeks
1312,195.893 1,091.407 (131*2π)/3863 weeks
1323,079.696 1,115.932 (132*2π)/3863 weeks
1332,768.947 1,973.043 (133*2π)/3863 weeks
1341,905.333 1,462.491 (134*2π)/3863 weeks
1352,539.003 526.2223 (135*2π)/3863 weeks
1363,461.191 1,300.872 (136*2π)/3863 weeks
1372,568.341 2,232.928 (137*2π)/3863 weeks
1381,535.06 1,173.778 (138*2π)/3863 weeks
1392,714.998 83.37341 (139*2π)/3863 weeks
1403,749.298 1,435.332 (140*2π)/3863 weeks
1412,272.613 2,219.436 (141*2π)/3863 weeks
1421,667.817 837.7656 (142*2π)/3863 weeks
1432,856.373 331.5891 (143*2π)/3863 weeks
1443,174.792 1,259.138 (144*2π)/3863 weeks
1452,655.172 1,516.945 (145*2π)/3863 weeks
1462,140.105 1,275.326 (146*2π)/3863 weeks
1472,281.263 607.8906 (147*2π)/3863 weeks
1482,931.135 585.0012 (148*2π)/3863 weeks
1493,076.619 1,297.789 (149*2π)/3863 weeks
1502,295.892 1,393.101 (150*2π)/3863 weeks
1512,184.485 793.6041 (151*2π)/3863 weeks
1522,554.501 417.2529 (152*2π)/3863 weeks
1533,126.859 765.4088 (153*2π)/3863 weeks
1542,793.439 1,396.563 (154*2π)/3863 weeks
1551,998.187 1,110.763 (155*2π)/3862 weeks
1562,292.153 207.3556 (156*2π)/3862 weeks
1573,139.093 429.6903 (157*2π)/3862 weeks
1583,024.109 1,300.26 (158*2π)/3862 weeks
1592,016.356 1,203.759 (159*2π)/3862 weeks
1602,131.65 121.1713 (160*2π)/3862 weeks
1613,216.99 268.3633 (161*2π)/3862 weeks
1622,886.458 1,297.469 (162*2π)/3862 weeks
1632,052.204 823.1183 (163*2π)/3862 weeks
1642,479.314 168.5406 (164*2π)/3862 weeks
1652,985.544 597.9694 (165*2π)/3862 weeks
1662,454.357 835.9654 (166*2π)/3862 weeks
1672,529.399 348.5404 (167*2π)/3862 weeks
1682,796.105 655.725 (168*2π)/3862 weeks
1692,325.837 697.754 (169*2π)/3862 weeks
1702,450.682 65.41216 (170*2π)/3862 weeks
1713,120.604 440.1509 (171*2π)/3862 weeks
1722,567.574 1,025.245 (172*2π)/3862 weeks
1731,880.368 346.37 (173*2π)/3862 weeks
1742,834.16 -384.4583 (174*2π)/3862 weeks
1753,372.443 726.713 (175*2π)/3862 weeks
1762,184.797 1,192.411 (176*2π)/3862 weeks
1771,680.883 -198.5763 (177*2π)/3862 weeks
1783,311.461 -557.5977 (178*2π)/3862 weeks
1793,361.475 1,060.799 (179*2π)/3862 weeks
1801,841.202 1,041.882 (180*2π)/3862 weeks
1811,801.982 -496.84 (181*2π)/3862 weeks
1823,359.856 -614.7906 (182*2π)/3862 weeks
1833,458.104 1,032.924 (183*2π)/3862 weeks
1841,742.044 1,053.486 (184*2π)/3862 weeks
1851,770.337 -673.0772 (185*2π)/3862 weeks
1863,358.026 -673.1644 (186*2π)/3862 weeks
1873,432.088 875.296 (187*2π)/3862 weeks
1881,884.268 896.1852 (188*2π)/3862 weeks
1891,847.426 -531.2092 (189*2π)/3862 weeks
1903,082.339 -614.2173 (190*2π)/3862 weeks
1913,240.461 350.4381 (191*2π)/3862 weeks
1922,438.825 682.6552 (192*2π)/3862 weeks
1931,932.678   (193*2π)/3862 weeks
1942,438.825 -682.6552 (194*2π)/3862 weeks
1953,240.461 -350.4381 (195*2π)/3862 weeks
1963,082.339 614.2173 (196*2π)/3862 weeks
1971,847.426 531.2092 (197*2π)/3862 weeks
1981,884.268 -896.1852 (198*2π)/3862 weeks
1993,432.088 -875.296 (199*2π)/3862 weeks
2003,358.026 673.1644 (200*2π)/3862 weeks
2011,770.337 673.0772 (201*2π)/3862 weeks
2021,742.044 -1,053.486 (202*2π)/3862 weeks
2033,458.104 -1,032.924 (203*2π)/3862 weeks
2043,359.856 614.7906 (204*2π)/3862 weeks
2051,801.982 496.84 (205*2π)/3862 weeks
2061,841.202 -1,041.882 (206*2π)/3862 weeks
2073,361.475 -1,060.799 (207*2π)/3862 weeks
2083,311.461 557.5977 (208*2π)/3862 weeks
2091,680.883 198.5763 (209*2π)/3862 weeks
2102,184.797 -1,192.411 (210*2π)/3862 weeks
2113,372.443 -726.713 (211*2π)/3862 weeks
2122,834.16 384.4583 (212*2π)/3862 weeks
2131,880.368 -346.37 (213*2π)/3862 weeks
2142,567.574 -1,025.245 (214*2π)/3862 weeks
2153,120.604 -440.1509 (215*2π)/3862 weeks
2162,450.682 -65.41216 (216*2π)/3862 weeks
2172,325.837 -697.754 (217*2π)/3862 weeks
2182,796.105 -655.725 (218*2π)/3862 weeks
2192,529.399 -348.5404 (219*2π)/3862 weeks
2202,454.357 -835.9654 (220*2π)/3862 weeks
2212,985.544 -597.9694 (221*2π)/3862 weeks
2222,479.314 -168.5406 (222*2π)/3862 weeks
2232,052.204 -823.1183 (223*2π)/3862 weeks
2242,886.458 -1,297.469 (224*2π)/3862 weeks
2253,216.99 -268.3633 (225*2π)/3862 weeks
2262,131.65 -121.1713 (226*2π)/3862 weeks
2272,016.356 -1,203.759 (227*2π)/3862 weeks
2283,024.109 -1,300.26 (228*2π)/3862 weeks
2293,139.093 -429.6903 (229*2π)/3862 weeks
2302,292.153 -207.3556 (230*2π)/3862 weeks
2311,998.187 -1,110.763 (231*2π)/3862 weeks
2322,793.439 -1,396.563 (232*2π)/3862 weeks
2333,126.859 -765.4088 (233*2π)/3862 weeks
2342,554.501 -417.2529 (234*2π)/3862 weeks
2352,184.485 -793.6041 (235*2π)/3862 weeks
2362,295.892 -1,393.101 (236*2π)/3862 weeks
2373,076.619 -1,297.789 (237*2π)/3862 weeks
2382,931.135 -585.0012 (238*2π)/3862 weeks
2392,281.263 -607.8906 (239*2π)/3862 weeks
2402,140.105 -1,275.326 (240*2π)/3862 weeks
2412,655.172 -1,516.945 (241*2π)/3862 weeks
2423,174.792 -1,259.138 (242*2π)/3862 weeks
2432,856.373 -331.5891 (243*2π)/3862 weeks
2441,667.817 -837.7656 (244*2π)/3862 weeks
2452,272.613 -2,219.436 (245*2π)/3862 weeks
2463,749.298 -1,435.332 (246*2π)/3862 weeks
2472,714.998 -83.37341 (247*2π)/3862 weeks
2481,535.06 -1,173.778 (248*2π)/3862 weeks
2492,568.341 -2,232.928 (249*2π)/3862 weeks
2503,461.191 -1,300.872 (250*2π)/3862 weeks
2512,539.003 -526.2223 (251*2π)/3862 weeks
2521,905.333 -1,462.491 (252*2π)/3862 weeks
2532,768.947 -1,973.043 (253*2π)/3862 weeks
2543,079.696 -1,115.932 (254*2π)/3862 weeks
2552,195.893 -1,091.407 (255*2π)/3862 weeks
2562,410.717 -1,926.257 (256*2π)/3862 weeks
2573,132.185 -1,520.226 (257*2π)/3862 weeks
2582,437.683 -923.1094 (258*2π)/3861 weeks
2592,038.908 -1,856.806 (259*2π)/3861 weeks
2602,977.683 -2,068.113 (260*2π)/3861 weeks
2613,075.748 -1,168.042 (261*2π)/3861 weeks
2622,063.692 -1,159.937 (262*2π)/3861 weeks
2632,226.217 -2,275.057 (263*2π)/3861 weeks
2643,237.511 -1,928.977 (264*2π)/3861 weeks
2652,659.969 -1,035.257 (265*2π)/3861 weeks
2661,960.204 -1,916.452 (266*2π)/3861 weeks
2672,938.145 -2,269.541 (267*2π)/3861 weeks
2682,956.499 -1,368.136 (268*2π)/3861 weeks
2692,034.208 -1,510.237 (269*2π)/3861 weeks
2702,306.428 -2,635.127 (270*2π)/3861 weeks
2713,539.428 -2,043.825 (271*2π)/3861 weeks
2722,567.025 -935.9794 (272*2π)/3861 weeks
2731,598.474 -2,034.826 (273*2π)/3861 weeks
2742,584.728 -3,018.997 (274*2π)/3861 weeks
2753,698.764 -2,152.699 (275*2π)/3861 weeks
2762,751.209 -833.4389 (276*2π)/3861 weeks
2771,277.586 -1,937.687 (277*2π)/3861 weeks
2782,387.229 -3,478.545 (278*2π)/3861 weeks
2793,884.012 -2,427.096 (279*2π)/3861 weeks
2802,919.651 -1,017.584 (280*2π)/3861 weeks
2811,534.784 -1,784.669 (281*2π)/3861 weeks
2821,875.878 -3,248.952 (282*2π)/3861 weeks
2833,556.132 -3,193.461 (283*2π)/3861 weeks
2843,515.176 -1,541.173 (284*2π)/3861 weeks
2851,885.161 -1,300.283 (285*2π)/3861 weeks
2861,442.569 -3,105.698 (286*2π)/3861 weeks
2873,093.882 -3,609.446 (287*2π)/3861 weeks
2883,641.231 -2,249.417 (288*2π)/3861 weeks
2892,629.618 -1,530.128 (289*2π)/3861 weeks
2901,558.119 -2,301.71 (290*2π)/3861 weeks
2911,924.522 -3,687.254 (291*2π)/3861 weeks
2923,765.329 -3,620.294 (292*2π)/3861 weeks
2933,601.081 -1,559.309 (293*2π)/3861 weeks
2941,503.285 -1,611.085 (294*2π)/3861 weeks
2951,237.91 -3,875.08 (295*2π)/3861 weeks
2963,590.666 -4,330.965 (296*2π)/3861 weeks
2974,123.916 -2,028.308 (297*2π)/3861 weeks
2981,683.878 -1,367.202 (298*2π)/3861 weeks
2991,158.022 -3,925.445 (299*2π)/3861 weeks
3003,271.396 -4,289.552 (300*2π)/3861 weeks
3013,630.982 -2,768.354 (301*2π)/3861 weeks
3022,590.223 -2,148.848 (302*2π)/3861 weeks
3031,572.833 -3,056.377 (303*2π)/3861 weeks
3042,168.811 -4,228.819 (304*2π)/3861 weeks
3053,549.489 -3,894.393 (305*2π)/3861 weeks
3063,188.502 -2,594.82 (306*2π)/3861 weeks
3072,005.316 -2,725.904 (307*2π)/3861 weeks
3081,630.191 -3,868.765 (308*2π)/3861 weeks
3092,848.143 -4,842.558 (309*2π)/3861 weeks
3104,049.467 -3,413.583 (310*2π)/3861 weeks
3112,409.575 -1,976.883 (311*2π)/3861 weeks
312613.554 -4,144.527 (312*2π)/3861 weeks
3133,222.701 -5,804.571 (313*2π)/3861 weeks
3144,396.176 -3,142.422 (314*2π)/3861 weeks
3151,904.613 -2,317.174 (315*2π)/3861 weeks
316892.8945 -4,638.792 (316*2π)/3861 weeks
3173,221.765 -5,898.102 (317*2π)/3861 weeks
3184,410.881 -3,450.426 (318*2π)/3861 weeks
3191,710.741 -2,469.105 (319*2π)/3861 weeks
320884.6445 -5,391.889 (320*2π)/3861 weeks
3213,692.834 -5,939.749 (321*2π)/3861 weeks
3223,964.085 -3,437.164 (322*2π)/3861 weeks
3231,559.396 -3,352.96 (323*2π)/3861 weeks
3241,397.982 -5,705.569 (324*2π)/3861 weeks
3253,660.632 -5,766.602 (325*2π)/3861 weeks
3263,270.903 -3,958.354 (326*2π)/3861 weeks
3271,927.904 -4,457.5 (327*2π)/3861 weeks
3282,186.698 -5,571.198 (328*2π)/3861 weeks
3292,940.785 -5,361.978 (329*2π)/3861 weeks
3302,494.629 -5,161.866 (330*2π)/3861 weeks
3312,785.301 -5,779.27 (331*2π)/3861 weeks
3323,217.26 -4,939.088 (332*2π)/3861 weeks
3331,598.773 -4,832.43 (333*2π)/3861 weeks
3341,778.34 -7,059.965 (334*2π)/3861 weeks
3353,956.916 -6,822.782 (335*2π)/3861 weeks
3363,956.884 -4,488.933 (336*2π)/3861 weeks
337688.9736 -4,457.848 (337*2π)/3861 weeks
338664.4794 -8,485.315 (338*2π)/3861 weeks
3395,210.5 -8,646.019 (339*2π)/3861 weeks
3404,740.036 -3,457.632 (340*2π)/3861 weeks
341-781.0313 -4,894.678 (341*2π)/3861 weeks
3421,039.332 -10,277.1 (342*2π)/3861 weeks
3435,771.821 -8,425.173 (343*2π)/3861 weeks
3443,694.68 -4,299.648 (344*2π)/3861 weeks
345-33.15164 -6,656.74 (345*2π)/3861 weeks
3461,867.924 -9,754.532 (346*2π)/3861 weeks
3474,358.645 -8,721.029 (347*2π)/3861 weeks
3483,339.305 -6,499.723 (348*2π)/3861 weeks
3491,118.057 -7,711.405 (349*2π)/3861 weeks
3502,285.079 -10,000.98 (350*2π)/3861 weeks
3513,849.226 -8,808.949 (351*2π)/3861 weeks
3522,040.134 -7,886.581 (352*2π)/3861 weeks
3531,780.178 -10,647.74 (353*2π)/3861 weeks
3543,985.972 -9,941.461 (354*2π)/3861 weeks
3552,587.408 -8,719.275 (355*2π)/3861 weeks
3561,349.143 -10,498.34 (356*2π)/3861 weeks
3572,639.786 -11,725.37 (357*2π)/3861 weeks
3583,062.064 -11,487.47 (358*2π)/3861 weeks
3593,769.902 -11,558.61 (359*2π)/3861 weeks
3602,544.554 -9,861.543 (360*2π)/3861 weeks
361-323.4795 -12,721.68 (361*2π)/3861 weeks
3622,678.957 -16,675.04 (362*2π)/3861 weeks
3636,755.891 -13,544.56 (363*2π)/3861 weeks
3642,744.354 -10,039.88 (364*2π)/3861 weeks
365-2,019.817 -14,101.86 (365*2π)/3861 weeks
366993.0239 -20,610.1 (366*2π)/3861 weeks
3677,557.177 -19,355.7 (367*2π)/3861 weeks
3686,518.543 -12,314.94 (368*2π)/3861 weeks
369-2,966.867 -13,453.54 (369*2π)/3861 weeks
370-3,291.499 -25,443.47 (370*2π)/3861 weeks
3717,455.042 -27,929.33 (371*2π)/3861 weeks
37210,765.88 -18,529.98 (372*2π)/3861 weeks
373-528.3937 -15,238.36 (373*2π)/3861 weeks
374-7,408.165 -28,059.56 (374*2π)/3861 weeks
3751,983.222 -39,197.56 (375*2π)/3861 weeks
37613,297.41 -36,019.95 (376*2π)/3861 weeks
37711,433.13 -23,516.85 (377*2π)/3861 weeks
378-10,394.5 -26,171.87 (378*2π)/3861 weeks
379-16,926.71 -58,461.89 (379*2π)/3861 weeks
38015,656.52 -80,981.23 (380*2π)/3861 weeks
38141,359.3 -51,180.93 (381*2π)/3861 weeks
382-7,801.479 -24,257.57 (382*2π)/3861 weeks
383-80,217.62 -113,007.5 (383*2π)/3861 weeks
3844,071.415 -297,398 (384*2π)/3861 weeks



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