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Fourier Analysis of ZSL (ProShares UltraShort Silver)


ZSL (ProShares UltraShort Silver) appears to have interesting cyclic behaviour every 43 weeks (47.493*sine), 27 weeks (44.2425*sine), and 29 weeks (43.4689*sine).

ZSL (ProShares UltraShort Silver) has an average price of 197.19 (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 12/3/2008 to 3/20/2017 for ZSL (ProShares UltraShort Silver), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0197.1862   0 
1262.4161 122.5717 (1*2π)/434434 weeks
2140.185 170.1978 (2*2π)/434217 weeks
373.79341 133.9931 (3*2π)/434145 weeks
462.08857 101.1206 (4*2π)/434109 weeks
563.4949 91.60863 (5*2π)/43487 weeks
647.41166 94.53568 (6*2π)/43472 weeks
731.50684 81.843 (7*2π)/43462 weeks
819.34921 65.39558 (8*2π)/43454 weeks
920.05511 52.05342 (9*2π)/43448 weeks
1021.474 47.493 (10*2π)/43443 weeks
1124.47219 41.57761 (11*2π)/43439 weeks
1223.18825 39.48764 (12*2π)/43436 weeks
1326.7141 37.43248 (13*2π)/43433 weeks
1430.80976 38.09893 (14*2π)/43431 weeks
1528.40449 43.46889 (15*2π)/43429 weeks
1620.78193 44.24249 (16*2π)/43427 weeks
1713.4192 41.26622 (17*2π)/43426 weeks
1812.85047 30.01651 (18*2π)/43424 weeks
1917.40813 27.48633 (19*2π)/43423 weeks
2021.9528 28.05473 (20*2π)/43422 weeks
2120.48303 27.11625 (21*2π)/43421 weeks
2220.13875 26.40798 (22*2π)/43420 weeks
2322.10129 26.51365 (23*2π)/43419 weeks
2422.76461 28.73626 (24*2π)/43418 weeks
2523.06744 29.14763 (25*2π)/43417 weeks
2623.21346 30.11215 (26*2π)/43417 weeks
2722.69309 33.23111 (27*2π)/43416 weeks
2818.84272 36.6797 (28*2π)/43416 weeks
2915.42529 36.90748 (29*2π)/43415 weeks
3010.49355 37.22097 (30*2π)/43414 weeks
315.24471 35.04231 (31*2π)/43414 weeks
322.49303 29.69044 (32*2π)/43414 weeks
331.4318 25.57986 (33*2π)/43413 weeks
341.91285 21.32109 (34*2π)/43413 weeks
352.96244 19.99411 (35*2π)/43412 weeks
363.23698 18.37787 (36*2π)/43412 weeks
372.84128 15.6197 (37*2π)/43412 weeks
385.87796 12.97427 (38*2π)/43411 weeks
397.89344 12.72432 (39*2π)/43411 weeks
409.84163 12.74357 (40*2π)/43411 weeks
4111.36806 12.92092 (41*2π)/43411 weeks
4211.82031 14.04564 (42*2π)/43410 weeks
4312.66073 14.56774 (43*2π)/43410 weeks
4411.67575 16.10381 (44*2π)/43410 weeks
4510.49781 16.19504 (45*2π)/43410 weeks
468.94534 16.46157 (46*2π)/4349 weeks
479.79491 16.74486 (47*2π)/4349 weeks
488.90641 16.21653 (48*2π)/4349 weeks
498.33304 15.8582 (49*2π)/4349 weeks
507.7482 15.62342 (50*2π)/4349 weeks
515.89574 15.43334 (51*2π)/4349 weeks
524.12532 13.87528 (52*2π)/4348 weeks
534.09382 10.13419 (53*2π)/4348 weeks
545.67104 8.39206 (54*2π)/4348 weeks
558.68562 7.69125 (55*2π)/4348 weeks
5610.27323 8.3958 (56*2π)/4348 weeks
5710.46527 9.67624 (57*2π)/4348 weeks
589.67314 11.19529 (58*2π)/4347 weeks
598.79831 11.32245 (59*2π)/4347 weeks
607.86534 9.17601 (60*2π)/4347 weeks
618.89796 7.10025 (61*2π)/4347 weeks
6210.77133 7.76298 (62*2π)/4347 weeks
6311.23168 9.20346 (63*2π)/4347 weeks
6410.81429 9.19515 (64*2π)/4347 weeks
6510.98497 9.77821 (65*2π)/4347 weeks
6610.03114 10.00326 (66*2π)/4347 weeks
679.85357 8.49193 (67*2π)/4346 weeks
6811.29956 8.26529 (68*2π)/4346 weeks
6912.31007 8.22166 (69*2π)/4346 weeks
7013.48247 8.60196 (70*2π)/4346 weeks
7114.40202 10.37825 (71*2π)/4346 weeks
7213.66749 13.16159 (72*2π)/4346 weeks
7311.854 15.24499 (73*2π)/4346 weeks
748.96555 14.94487 (74*2π)/4346 weeks
756.34699 13.78357 (75*2π)/4346 weeks
765.32939 11.37448 (76*2π)/4346 weeks
776.29531 9.20875 (77*2π)/4346 weeks
787.88122 8.43944 (78*2π)/4346 weeks
798.14295 9.517 (79*2π)/4345 weeks
807.33261 9.6084 (80*2π)/4345 weeks
816.87185 9.1954 (81*2π)/4345 weeks
827.74588 8.54789 (82*2π)/4345 weeks
838.26548 8.82436 (83*2π)/4345 weeks
848.40599 10.05847 (84*2π)/4345 weeks
856.89142 10.21305 (85*2π)/4345 weeks
865.54055 9.40696 (86*2π)/4345 weeks
874.51927 7.45398 (87*2π)/4345 weeks
885.08034 6.22893 (88*2π)/4345 weeks
896.95867 5.27683 (89*2π)/4345 weeks
907.57154 5.16719 (90*2π)/4345 weeks
918.30858 5.08206 (91*2π)/4345 weeks
929.28362 5.45649 (92*2π)/4345 weeks
939.85312 6.38731 (93*2π)/4345 weeks
949.33889 7.1464 (94*2π)/4345 weeks
958.61855 7.61396 (95*2π)/4345 weeks
968.1133 7.3272 (96*2π)/4345 weeks
978.04561 6.84793 (97*2π)/4344 weeks
987.78446 6.35223 (98*2π)/4344 weeks
997.94611 6.466 (99*2π)/4344 weeks
1008.64341 5.97884 (100*2π)/4344 weeks
1018.99966 6.10567 (101*2π)/4344 weeks
1028.66688 7.12678 (102*2π)/4344 weeks
1038.27152 7.7896 (103*2π)/4344 weeks
1047.35585 7.74341 (104*2π)/4344 weeks
1056.69239 7.01901 (105*2π)/4344 weeks
1066.88601 6.3067 (106*2π)/4344 weeks
1076.92738 6.46536 (107*2π)/4344 weeks
1086.43127 5.65017 (108*2π)/4344 weeks
1096.96456 4.78339 (109*2π)/4344 weeks
1107.7474 5.07159 (110*2π)/4344 weeks
1117.52698 5.36384 (111*2π)/4344 weeks
1127.37731 5.06754 (112*2π)/4344 weeks
1137.68957 5.41786 (113*2π)/4344 weeks
1147.83651 5.38471 (114*2π)/4344 weeks
1157.74464 5.73025 (115*2π)/4344 weeks
1167.42453 6.16998 (116*2π)/4344 weeks
1176.42859 6.30754 (117*2π)/4344 weeks
1185.58316 5.61579 (118*2π)/4344 weeks
1194.94202 4.40883 (119*2π)/4344 weeks
1205.31353 3.35415 (120*2π)/4344 weeks
1216.52617 2.32157 (121*2π)/4344 weeks
1227.50635 2.2043 (122*2π)/4344 weeks
1237.7395 2.76048 (123*2π)/4344 weeks
1247.77737 3.11872 (124*2π)/4344 weeks
1257.48646 2.67555 (125*2π)/4343 weeks
1268.16768 2.36385 (126*2π)/4343 weeks
1279.37364 2.82851 (127*2π)/4343 weeks
1289.20145 3.78695 (128*2π)/4343 weeks
1298.46782 4.07967 (129*2π)/4343 weeks
1308.11192 3.67603 (130*2π)/4343 weeks
1318.19882 3.76714 (131*2π)/4343 weeks
1328.01669 3.88985 (132*2π)/4343 weeks
1337.52207 3.69927 (133*2π)/4343 weeks
1347.09115 3.53606 (134*2π)/4343 weeks
1357.05602 2.32033 (135*2π)/4343 weeks
1367.72626 1.43887 (136*2π)/4343 weeks
1378.85753 1.57606 (137*2π)/4343 weeks
1389.36025 1.86571 (138*2π)/4343 weeks
1399.85615 1.94168 (139*2π)/4343 weeks
14010.29049 2.22234 (140*2π)/4343 weeks
14110.85629 3.24602 (141*2π)/4343 weeks
14210.93561 4.05025 (142*2π)/4343 weeks
1439.86016 4.78054 (143*2π)/4343 weeks
1448.7904 4.48233 (144*2π)/4343 weeks
1458.61998 4.14927 (145*2π)/4343 weeks
1469.17154 3.99505 (146*2π)/4343 weeks
1479.00518 4.07301 (147*2π)/4343 weeks
1488.92179 4.54871 (148*2π)/4343 weeks
1498.48324 4.80111 (149*2π)/4343 weeks
1508.15785 4.40445 (150*2π)/4343 weeks
1517.97947 3.96682 (151*2π)/4343 weeks
1527.94089 3.87551 (152*2π)/4343 weeks
1538.32441 3.56982 (153*2π)/4343 weeks
1548.79106 3.66194 (154*2π)/4343 weeks
1558.6496 4.47976 (155*2π)/4343 weeks
1567.67749 4.94377 (156*2π)/4343 weeks
1576.81959 4.48058 (157*2π)/4343 weeks
1586.44749 3.37884 (158*2π)/4343 weeks
1596.7249 2.63113 (159*2π)/4343 weeks
1607.41723 2.47026 (160*2π)/4343 weeks
1617.60729 2.15342 (161*2π)/4343 weeks
1628.0915 1.93954 (162*2π)/4343 weeks
1638.6315 2.12644 (163*2π)/4343 weeks
1649.11841 2.73867 (164*2π)/4343 weeks
1659.15306 3.79378 (165*2π)/4343 weeks
1668.59899 4.3671 (166*2π)/4343 weeks
1677.80552 4.07754 (167*2π)/4343 weeks
1687.43578 3.48322 (168*2π)/4343 weeks
1697.51033 3.49117 (169*2π)/4343 weeks
1707.57685 3.49795 (170*2π)/4343 weeks
1717.75713 3.7671 (171*2π)/4343 weeks
1727.05625 4.25863 (172*2π)/4343 weeks
1735.94546 4.07775 (173*2π)/4343 weeks
1745.37012 2.55652 (174*2π)/4342 weeks
1755.9225 1.3818 (175*2π)/4342 weeks
1766.93176 1.18136 (176*2π)/4342 weeks
1777.1965 1.67462 (177*2π)/4342 weeks
1787.25946 1.76422 (178*2π)/4342 weeks
1797.18896 1.42041 (179*2π)/4342 weeks
1807.25541 1.13689 (180*2π)/4342 weeks
1818.02113 .49223 (181*2π)/4342 weeks
1829.00983 .58634 (182*2π)/4342 weeks
1839.83955 1.37311 (183*2π)/4342 weeks
1849.85396 2.4003 (184*2π)/4342 weeks
1859.9768 3.31466 (185*2π)/4342 weeks
1869.38797 4.07715 (186*2π)/4342 weeks
1878.68796 4.7965 (187*2π)/4342 weeks
1887.54291 4.78885 (188*2π)/4342 weeks
1897.17249 4.6348 (189*2π)/4342 weeks
1906.71068 4.63042 (190*2π)/4342 weeks
1915.63794 4.50612 (191*2π)/4342 weeks
1925.22632 3.51005 (192*2π)/4342 weeks
1935.79207 2.94958 (193*2π)/4342 weeks
1946.01326 2.98441 (194*2π)/4342 weeks
1955.3331 3.38885 (195*2π)/4342 weeks
1964.70766 3.34115 (196*2π)/4342 weeks
1973.91935 2.55358 (197*2π)/4342 weeks
1983.82031 1.2641 (198*2π)/4342 weeks
1994.07101 .22478 (199*2π)/4342 weeks
2004.91787 -.10484 (200*2π)/4342 weeks
2015.38501 -.57626 (201*2π)/4342 weeks
2026.24402 -.43463 (202*2π)/4342 weeks
2036.70996 -.07254 (203*2π)/4342 weeks
2046.84532 .17214 (204*2π)/4342 weeks
2057.17162 .31966 (205*2π)/4342 weeks
2067.25734 .83487 (206*2π)/4342 weeks
2076.70387 1.26451 (207*2π)/4342 weeks
2085.78873 1.0282 (208*2π)/4342 weeks
2095.81366 .16365 (209*2π)/4342 weeks
2106.70108 -.3776 (210*2π)/4342 weeks
2117.77274 .49785 (211*2π)/4342 weeks
2127.04762 1.58114 (212*2π)/4342 weeks
2136.24184 1.82186 (213*2π)/4342 weeks
2145.59761 1.34504 (214*2π)/4342 weeks
2155.03782 .68602 (215*2π)/4342 weeks
2165.2641 -.02952 (216*2π)/4342 weeks
2175.48966   (217*2π)/4342 weeks
2185.2641 .02952 (218*2π)/4342 weeks
2195.03782 -.68602 (219*2π)/4342 weeks
2205.59761 -1.34504 (220*2π)/4342 weeks
2216.24184 -1.82186 (221*2π)/4342 weeks
2227.04762 -1.58114 (222*2π)/4342 weeks
2237.77274 -.49785 (223*2π)/4342 weeks
2246.70108 .3776 (224*2π)/4342 weeks
2255.81366 -.16365 (225*2π)/4342 weeks
2265.78873 -1.0282 (226*2π)/4342 weeks
2276.70387 -1.26451 (227*2π)/4342 weeks
2287.25734 -.83487 (228*2π)/4342 weeks
2297.17162 -.31966 (229*2π)/4342 weeks
2306.84532 -.17214 (230*2π)/4342 weeks
2316.70996 .07254 (231*2π)/4342 weeks
2326.24402 .43463 (232*2π)/4342 weeks
2335.38501 .57626 (233*2π)/4342 weeks
2344.91787 .10484 (234*2π)/4342 weeks
2354.07101 -.22478 (235*2π)/4342 weeks
2363.82031 -1.2641 (236*2π)/4342 weeks
2373.91935 -2.55358 (237*2π)/4342 weeks
2384.70766 -3.34115 (238*2π)/4342 weeks
2395.3331 -3.38885 (239*2π)/4342 weeks
2406.01326 -2.98441 (240*2π)/4342 weeks
2415.79207 -2.94958 (241*2π)/4342 weeks
2425.22632 -3.51005 (242*2π)/4342 weeks
2435.63794 -4.50612 (243*2π)/4342 weeks
2446.71068 -4.63042 (244*2π)/4342 weeks
2457.17249 -4.6348 (245*2π)/4342 weeks
2467.54291 -4.78885 (246*2π)/4342 weeks
2478.68796 -4.7965 (247*2π)/4342 weeks
2489.38797 -4.07715 (248*2π)/4342 weeks
2499.9768 -3.31466 (249*2π)/4342 weeks
2509.85396 -2.4003 (250*2π)/4342 weeks
2519.83955 -1.37311 (251*2π)/4342 weeks
2529.00983 -.58634 (252*2π)/4342 weeks
2538.02113 -.49223 (253*2π)/4342 weeks
2547.25541 -1.13689 (254*2π)/4342 weeks
2557.18896 -1.42041 (255*2π)/4342 weeks
2567.25946 -1.76422 (256*2π)/4342 weeks
2577.1965 -1.67462 (257*2π)/4342 weeks
2586.93176 -1.18136 (258*2π)/4342 weeks
2595.9225 -1.3818 (259*2π)/4342 weeks
2605.37012 -2.55652 (260*2π)/4342 weeks
2615.94546 -4.07775 (261*2π)/4342 weeks
2627.05625 -4.25863 (262*2π)/4342 weeks
2637.75713 -3.7671 (263*2π)/4342 weeks
2647.57685 -3.49795 (264*2π)/4342 weeks
2657.51033 -3.49117 (265*2π)/4342 weeks
2667.43578 -3.48322 (266*2π)/4342 weeks
2677.80552 -4.07754 (267*2π)/4342 weeks
2688.59899 -4.3671 (268*2π)/4342 weeks
2699.15306 -3.79378 (269*2π)/4342 weeks
2709.11841 -2.73867 (270*2π)/4342 weeks
2718.6315 -2.12644 (271*2π)/4342 weeks
2728.0915 -1.93954 (272*2π)/4342 weeks
2737.60729 -2.15342 (273*2π)/4342 weeks
2747.41723 -2.47026 (274*2π)/4342 weeks
2756.7249 -2.63113 (275*2π)/4342 weeks
2766.44749 -3.37884 (276*2π)/4342 weeks
2776.81959 -4.48058 (277*2π)/4342 weeks
2787.67749 -4.94377 (278*2π)/4342 weeks
2798.6496 -4.47976 (279*2π)/4342 weeks
2808.79106 -3.66194 (280*2π)/4342 weeks
2818.32441 -3.56982 (281*2π)/4342 weeks
2827.94089 -3.87551 (282*2π)/4342 weeks
2837.97947 -3.96682 (283*2π)/4342 weeks
2848.15785 -4.40445 (284*2π)/4342 weeks
2858.48324 -4.80111 (285*2π)/4342 weeks
2868.92179 -4.54871 (286*2π)/4342 weeks
2879.00518 -4.07301 (287*2π)/4342 weeks
2889.17154 -3.99505 (288*2π)/4342 weeks
2898.61998 -4.14927 (289*2π)/4342 weeks
2908.7904 -4.48233 (290*2π)/4341 weeks
2919.86016 -4.78054 (291*2π)/4341 weeks
29210.93561 -4.05025 (292*2π)/4341 weeks
29310.85629 -3.24602 (293*2π)/4341 weeks
29410.29049 -2.22234 (294*2π)/4341 weeks
2959.85615 -1.94168 (295*2π)/4341 weeks
2969.36025 -1.86571 (296*2π)/4341 weeks
2978.85753 -1.57606 (297*2π)/4341 weeks
2987.72626 -1.43887 (298*2π)/4341 weeks
2997.05602 -2.32033 (299*2π)/4341 weeks
3007.09115 -3.53606 (300*2π)/4341 weeks
3017.52207 -3.69927 (301*2π)/4341 weeks
3028.01669 -3.88985 (302*2π)/4341 weeks
3038.19882 -3.76714 (303*2π)/4341 weeks
3048.11192 -3.67603 (304*2π)/4341 weeks
3058.46782 -4.07967 (305*2π)/4341 weeks
3069.20145 -3.78695 (306*2π)/4341 weeks
3079.37364 -2.82851 (307*2π)/4341 weeks
3088.16768 -2.36385 (308*2π)/4341 weeks
3097.48646 -2.67555 (309*2π)/4341 weeks
3107.77737 -3.11872 (310*2π)/4341 weeks
3117.7395 -2.76048 (311*2π)/4341 weeks
3127.50635 -2.2043 (312*2π)/4341 weeks
3136.52617 -2.32157 (313*2π)/4341 weeks
3145.31353 -3.35415 (314*2π)/4341 weeks
3154.94202 -4.40883 (315*2π)/4341 weeks
3165.58316 -5.61579 (316*2π)/4341 weeks
3176.42859 -6.30754 (317*2π)/4341 weeks
3187.42453 -6.16998 (318*2π)/4341 weeks
3197.74464 -5.73025 (319*2π)/4341 weeks
3207.83651 -5.38471 (320*2π)/4341 weeks
3217.68957 -5.41786 (321*2π)/4341 weeks
3227.37731 -5.06754 (322*2π)/4341 weeks
3237.52698 -5.36384 (323*2π)/4341 weeks
3247.7474 -5.07159 (324*2π)/4341 weeks
3256.96456 -4.78339 (325*2π)/4341 weeks
3266.43127 -5.65017 (326*2π)/4341 weeks
3276.92738 -6.46536 (327*2π)/4341 weeks
3286.88601 -6.3067 (328*2π)/4341 weeks
3296.69239 -7.01901 (329*2π)/4341 weeks
3307.35585 -7.74341 (330*2π)/4341 weeks
3318.27152 -7.7896 (331*2π)/4341 weeks
3328.66688 -7.12678 (332*2π)/4341 weeks
3338.99966 -6.10567 (333*2π)/4341 weeks
3348.64341 -5.97884 (334*2π)/4341 weeks
3357.94611 -6.466 (335*2π)/4341 weeks
3367.78446 -6.35223 (336*2π)/4341 weeks
3378.04561 -6.84793 (337*2π)/4341 weeks
3388.1133 -7.3272 (338*2π)/4341 weeks
3398.61855 -7.61396 (339*2π)/4341 weeks
3409.33889 -7.1464 (340*2π)/4341 weeks
3419.85312 -6.38731 (341*2π)/4341 weeks
3429.28362 -5.45649 (342*2π)/4341 weeks
3438.30858 -5.08206 (343*2π)/4341 weeks
3447.57154 -5.16719 (344*2π)/4341 weeks
3456.95867 -5.27683 (345*2π)/4341 weeks
3465.08034 -6.22893 (346*2π)/4341 weeks
3474.51927 -7.45398 (347*2π)/4341 weeks
3485.54055 -9.40696 (348*2π)/4341 weeks
3496.89142 -10.21305 (349*2π)/4341 weeks
3508.40599 -10.05847 (350*2π)/4341 weeks
3518.26548 -8.82436 (351*2π)/4341 weeks
3527.74588 -8.54789 (352*2π)/4341 weeks
3536.87185 -9.1954 (353*2π)/4341 weeks
3547.33261 -9.6084 (354*2π)/4341 weeks
3558.14295 -9.517 (355*2π)/4341 weeks
3567.88122 -8.43944 (356*2π)/4341 weeks
3576.29531 -9.20875 (357*2π)/4341 weeks
3585.32939 -11.37448 (358*2π)/4341 weeks
3596.34699 -13.78357 (359*2π)/4341 weeks
3608.96555 -14.94487 (360*2π)/4341 weeks
36111.854 -15.24499 (361*2π)/4341 weeks
36213.66749 -13.16159 (362*2π)/4341 weeks
36314.40202 -10.37825 (363*2π)/4341 weeks
36413.48247 -8.60196 (364*2π)/4341 weeks
36512.31007 -8.22166 (365*2π)/4341 weeks
36611.29956 -8.26529 (366*2π)/4341 weeks
3679.85357 -8.49193 (367*2π)/4341 weeks
36810.03114 -10.00326 (368*2π)/4341 weeks
36910.98497 -9.77821 (369*2π)/4341 weeks
37010.81429 -9.19515 (370*2π)/4341 weeks
37111.23168 -9.20346 (371*2π)/4341 weeks
37210.77133 -7.76298 (372*2π)/4341 weeks
3738.89796 -7.10025 (373*2π)/4341 weeks
3747.86534 -9.17601 (374*2π)/4341 weeks
3758.79831 -11.32245 (375*2π)/4341 weeks
3769.67314 -11.19529 (376*2π)/4341 weeks
37710.46527 -9.67624 (377*2π)/4341 weeks
37810.27323 -8.3958 (378*2π)/4341 weeks
3798.68562 -7.69125 (379*2π)/4341 weeks
3805.67104 -8.39206 (380*2π)/4341 weeks
3814.09382 -10.13419 (381*2π)/4341 weeks
3824.12532 -13.87528 (382*2π)/4341 weeks
3835.89574 -15.43334 (383*2π)/4341 weeks
3847.7482 -15.62342 (384*2π)/4341 weeks
3858.33304 -15.8582 (385*2π)/4341 weeks
3868.90641 -16.21653 (386*2π)/4341 weeks
3879.79491 -16.74486 (387*2π)/4341 weeks
3888.94534 -16.46157 (388*2π)/4341 weeks
38910.49781 -16.19504 (389*2π)/4341 weeks
39011.67575 -16.10381 (390*2π)/4341 weeks
39112.66073 -14.56774 (391*2π)/4341 weeks
39211.82031 -14.04564 (392*2π)/4341 weeks
39311.36806 -12.92092 (393*2π)/4341 weeks
3949.84163 -12.74357 (394*2π)/4341 weeks
3957.89344 -12.72432 (395*2π)/4341 weeks
3965.87796 -12.97427 (396*2π)/4341 weeks
3972.84128 -15.6197 (397*2π)/4341 weeks
3983.23698 -18.37787 (398*2π)/4341 weeks
3992.96244 -19.99411 (399*2π)/4341 weeks
4001.91285 -21.32109 (400*2π)/4341 weeks
4011.4318 -25.57986 (401*2π)/4341 weeks
4022.49303 -29.69044 (402*2π)/4341 weeks
4035.24471 -35.04231 (403*2π)/4341 weeks
40410.49355 -37.22097 (404*2π)/4341 weeks
40515.42529 -36.90748 (405*2π)/4341 weeks
40618.84272 -36.6797 (406*2π)/4341 weeks
40722.69309 -33.23111 (407*2π)/4341 weeks
40823.21346 -30.11215 (408*2π)/4341 weeks
40923.06744 -29.14763 (409*2π)/4341 weeks
41022.76461 -28.73626 (410*2π)/4341 weeks
41122.10129 -26.51365 (411*2π)/4341 weeks
41220.13875 -26.40798 (412*2π)/4341 weeks
41320.48303 -27.11625 (413*2π)/4341 weeks
41421.9528 -28.05473 (414*2π)/4341 weeks
41517.40813 -27.48633 (415*2π)/4341 weeks
41612.85047 -30.01651 (416*2π)/4341 weeks
41713.4192 -41.26622 (417*2π)/4341 weeks
41820.78193 -44.24249 (418*2π)/4341 weeks
41928.40449 -43.46889 (419*2π)/4341 weeks
42030.80976 -38.09893 (420*2π)/4341 weeks
42126.7141 -37.43248 (421*2π)/4341 weeks
42223.18825 -39.48764 (422*2π)/4341 weeks
42324.47219 -41.57761 (423*2π)/4341 weeks
42421.474 -47.493 (424*2π)/4341 weeks
42520.05511 -52.05342 (425*2π)/4341 weeks
42619.34921 -65.39558 (426*2π)/4341 weeks
42731.50684 -81.843 (427*2π)/4341 weeks
42847.41166 -94.53568 (428*2π)/4341 weeks
42963.4949 -91.60863 (429*2π)/4341 weeks
43062.08857 -101.1206 (430*2π)/4341 weeks
43173.79341 -133.9931 (431*2π)/4341 weeks
432140.185 -170.1978 (432*2π)/4341 weeks

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