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Fourier Analysis of KWT (VanEck Vectors Solar Energy ETF)


KWT (VanEck Vectors Solar Energy ETF) appears to have interesting cyclic behaviour every 48 weeks (24.878*sine), 40 weeks (19.8389*sine), and 44 weeks (19.8167*sine).

KWT (VanEck Vectors Solar Energy ETF) has an average price of 106.32 (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 4/23/2008 to 6/19/2017 for KWT (VanEck Vectors Solar Energy ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0106.3197   0 
156.70897 52.91489 (1*2π)/479479 weeks
23.68845 38.70735 (2*2π)/479240 weeks
335.1688 20.8686 (3*2π)/479160 weeks
421.4007 29.5326 (4*2π)/479120 weeks
519.67705 21.45979 (5*2π)/47996 weeks
624.1801 21.36076 (6*2π)/47980 weeks
715.90665 32.96438 (7*2π)/47968 weeks
88.22912 29.31077 (8*2π)/47960 weeks
98.143 23.25288 (9*2π)/47953 weeks
101.66777 24.87797 (10*2π)/47948 weeks
11-2.40471 19.81674 (11*2π)/47944 weeks
12-.17885 19.83886 (12*2π)/47940 weeks
13-3.99173 14.81 (13*2π)/47937 weeks
14-4.02089 8.17968 (14*2π)/47934 weeks
15-1.7176 10.13681 (15*2π)/47932 weeks
16-1.03098 10.1317 (16*2π)/47930 weeks
17-.40831 8.57482 (17*2π)/47928 weeks
18-2.48745 6.23272 (18*2π)/47927 weeks
19.26607 5.30347 (19*2π)/47925 weeks
20-.70377 6.17384 (20*2π)/47924 weeks
21-.24218 2.87122 (21*2π)/47923 weeks
223.43438 3.05763 (22*2π)/47922 weeks
234.85602 3.50586 (23*2π)/47921 weeks
243.71544 5.40429 (24*2π)/47920 weeks
255.50587 4.60862 (25*2π)/47919 weeks
264.81745 6.14372 (26*2π)/47918 weeks
275.10079 8.61063 (27*2π)/47918 weeks
283.903 8.5174 (28*2π)/47917 weeks
292.4352 10.14225 (29*2π)/47917 weeks
30-.4049 8.97922 (30*2π)/47916 weeks
31-.69235 6.57685 (31*2π)/47915 weeks
32-.29248 6.41961 (32*2π)/47915 weeks
33.89966 6.16191 (33*2π)/47915 weeks
34-1.04183 7.27899 (34*2π)/47914 weeks
35-3.33598 6.006 (35*2π)/47914 weeks
36-1.10866 3.06923 (36*2π)/47913 weeks
37.68792 3.68535 (37*2π)/47913 weeks
38-.36013 4.27157 (38*2π)/47913 weeks
39-.42602 4.04029 (39*2π)/47912 weeks
40-.81897 3.56495 (40*2π)/47912 weeks
41-1.25077 2.97923 (41*2π)/47912 weeks
42.17368 3.13794 (42*2π)/47911 weeks
43.46467 1.76622 (43*2π)/47911 weeks
44.01667 2.58145 (44*2π)/47911 weeks
45.11238 1.92215 (45*2π)/47911 weeks
46.82021 2.36017 (46*2π)/47910 weeks
47.47732 2.76973 (47*2π)/47910 weeks
481.03855 1.6403 (48*2π)/47910 weeks
492.43058 2.27617 (49*2π)/47910 weeks
501.72325 2.89949 (50*2π)/47910 weeks
511.45209 3.15437 (51*2π)/4799 weeks
521.19203 3.5861 (52*2π)/4799 weeks
53.53111 3.64256 (53*2π)/4799 weeks
54-.05462 2.56707 (54*2π)/4799 weeks
551.01728 2.62688 (55*2π)/4799 weeks
56.79529 2.09369 (56*2π)/4799 weeks
57.40863 2.19472 (57*2π)/4798 weeks
58.97939 2.97747 (58*2π)/4798 weeks
59.75652 2.5416 (59*2π)/4798 weeks
60.28071 3.08681 (60*2π)/4798 weeks
61-.30141 2.67601 (61*2π)/4798 weeks
62-.55608 1.35561 (62*2π)/4798 weeks
63.37627 1.1273 (63*2π)/4798 weeks
64.75104 .6208 (64*2π)/4797 weeks
651.7648 1.06273 (65*2π)/4797 weeks
662.26944 2.59815 (66*2π)/4797 weeks
67.751 2.05837 (67*2π)/4797 weeks
681.29917 1.60173 (68*2π)/4797 weeks
691.46646 2.49674 (69*2π)/4797 weeks
701.13133 2.18134 (70*2π)/4797 weeks
711.02193 2.80553 (71*2π)/4797 weeks
72.69357 2.49222 (72*2π)/4797 weeks
73.35253 2.49968 (73*2π)/4797 weeks
74-.05294 2.51678 (74*2π)/4796 weeks
75-.40353 1.99978 (75*2π)/4796 weeks
76-.39034 1.85345 (76*2π)/4796 weeks
77.02358 .74297 (77*2π)/4796 weeks
78.51748 .45876 (78*2π)/4796 weeks
791.00362 .66062 (79*2π)/4796 weeks
801.05591 .83375 (80*2π)/4796 weeks
811.37939 1.13794 (81*2π)/4796 weeks
821.20875 1.75072 (82*2π)/4796 weeks
83.38498 1.51792 (83*2π)/4796 weeks
84.7679 .93401 (84*2π)/4796 weeks
851.15544 1.03893 (85*2π)/4796 weeks
861.38043 .84861 (86*2π)/4796 weeks
871.90291 .90253 (87*2π)/4796 weeks
881.32492 1.85541 (88*2π)/4795 weeks
89.89126 1.85707 (89*2π)/4795 weeks
901.06162 1.69629 (90*2π)/4795 weeks
911.55074 1.93928 (91*2π)/4795 weeks
921.04534 2.66966 (92*2π)/4795 weeks
93.34743 1.84979 (93*2π)/4795 weeks
94.11523 2.18965 (94*2π)/4795 weeks
95-.58218 2.21576 (95*2π)/4795 weeks
96-.61571 1.09685 (96*2π)/4795 weeks
97-.20057 .43407 (97*2π)/4795 weeks
98-.02873 .78156 (98*2π)/4795 weeks
99-.28565 .48839 (99*2π)/4795 weeks
100-.19948 -.16208 (100*2π)/4795 weeks
101.64277 -.43369 (101*2π)/4795 weeks
102.57459 -.03048 (102*2π)/4795 weeks
1031.16041 -.47121 (103*2π)/4795 weeks
1041.73492 -.41543 (104*2π)/4795 weeks
1051.38556 -.03333 (105*2π)/4795 weeks
1061.91704 .04259 (106*2π)/4795 weeks
1072.41314 .66472 (107*2π)/4794 weeks
1081.77477 1.1379 (108*2π)/4794 weeks
1091.69303 1.12518 (109*2π)/4794 weeks
1101.51038 .98761 (110*2π)/4794 weeks
1111.48541 .8919 (111*2π)/4794 weeks
1121.5339 .92563 (112*2π)/4794 weeks
1131.62014 1.20211 (113*2π)/4794 weeks
114.83554 1.05802 (114*2π)/4794 weeks
115.99867 .84934 (115*2π)/4794 weeks
1161.69185 .82415 (116*2π)/4794 weeks
1171.67541 .97156 (117*2π)/4794 weeks
1181.50262 1.21955 (118*2π)/4794 weeks
1191.45386 1.49839 (119*2π)/4794 weeks
120.71884 1.66876 (120*2π)/4794 weeks
121.46339 1.35393 (121*2π)/4794 weeks
122.55563 .63607 (122*2π)/4794 weeks
1231.02878 .40114 (123*2π)/4794 weeks
1241.4855 .80046 (124*2π)/4794 weeks
1251.00749 1.16403 (125*2π)/4794 weeks
126.35149 1.16429 (126*2π)/4794 weeks
127.82469 .674 (127*2π)/4794 weeks
128.86011 .50866 (128*2π)/4794 weeks
129.72559 .21244 (129*2π)/4794 weeks
1301.23081 .37031 (130*2π)/4794 weeks
1311.08236 .263 (131*2π)/4794 weeks
1321.47216 .19127 (132*2π)/4794 weeks
1331.92675 .73801 (133*2π)/4794 weeks
1341.58372 .96343 (134*2π)/4794 weeks
1351.43372 .83383 (135*2π)/4794 weeks
1361.40286 .80993 (136*2π)/4794 weeks
1371.54573 .89535 (137*2π)/4793 weeks
1381.63476 1.23267 (138*2π)/4793 weeks
1391.21158 1.29557 (139*2π)/4793 weeks
1401.15011 1.15374 (140*2π)/4793 weeks
1411.14846 1.49846 (141*2π)/4793 weeks
142.62744 1.45434 (142*2π)/4793 weeks
143.36737 1.22656 (143*2π)/4793 weeks
144.40656 .97626 (144*2π)/4793 weeks
145.40057 .81955 (145*2π)/4793 weeks
146.27326 .67816 (146*2π)/4793 weeks
147.2592 .37553 (147*2π)/4793 weeks
148.44241 .16895 (148*2π)/4793 weeks
149.54748 .19145 (149*2π)/4793 weeks
150.97544 -.07415 (150*2π)/4793 weeks
1511.06494 -.02927 (151*2π)/4793 weeks
1521.17454 -.15566 (152*2π)/4793 weeks
1531.08621 .4291 (153*2π)/4793 weeks
1541.20059 .19077 (154*2π)/4793 weeks
1551.49088 .16678 (155*2π)/4793 weeks
1561.66454 .67699 (156*2π)/4793 weeks
1571.28231 .7358 (157*2π)/4793 weeks
1581.0057 .52494 (158*2π)/4793 weeks
1591.10269 .54756 (159*2π)/4793 weeks
1601.03774 .49092 (160*2π)/4793 weeks
1611.07719 .38713 (161*2π)/4793 weeks
1621.39364 .54778 (162*2π)/4793 weeks
163.85749 .52534 (163*2π)/4793 weeks
164.97357 .23886 (164*2π)/4793 weeks
1651.05652 .29083 (165*2π)/4793 weeks
1661.10866 .14258 (166*2π)/4793 weeks
1671.44994 -.06679 (167*2π)/4793 weeks
1681.67842 .48605 (168*2π)/4793 weeks
1691.58774 .22531 (169*2π)/4793 weeks
1702.05273 .15716 (170*2π)/4793 weeks
1711.97163 .97705 (171*2π)/4793 weeks
1721.66882 1.39918 (172*2π)/4793 weeks
1731.02121 1.44056 (173*2π)/4793 weeks
174.6401 1.00502 (174*2π)/4793 weeks
175.92962 .45264 (175*2π)/4793 weeks
1761.01048 .82281 (176*2π)/4793 weeks
1771.02569 .45531 (177*2π)/4793 weeks
1781.30244 .9954 (178*2π)/4793 weeks
179.68501 1.1472 (179*2π)/4793 weeks
180.44537 .7744 (180*2π)/4793 weeks
181.76263 .51057 (181*2π)/4793 weeks
182.51701 .3245 (182*2π)/4793 weeks
183.70554 .13145 (183*2π)/4793 weeks
1841.02052 .45249 (184*2π)/4793 weeks
185.95479 .29348 (185*2π)/4793 weeks
1861.18773 .18692 (186*2π)/4793 weeks
1871.18584 .47234 (187*2π)/4793 weeks
1881.01562 .51535 (188*2π)/4793 weeks
189.94667 .73926 (189*2π)/4793 weeks
190.83709 .71258 (190*2π)/4793 weeks
191.67651 .28554 (191*2π)/4793 weeks
192.96029 .14812 (192*2π)/4792 weeks
1931.09754 .78646 (193*2π)/4792 weeks
194.64894 .4928 (194*2π)/4792 weeks
195.72758 .13728 (195*2π)/4792 weeks
1961.05259 .41944 (196*2π)/4792 weeks
197.88702 .3842 (197*2π)/4792 weeks
198.91801 .4363 (198*2π)/4792 weeks
199.57108 .57892 (199*2π)/4792 weeks
200.69968 .21871 (200*2π)/4792 weeks
201.82822 .29365 (201*2π)/4792 weeks
202.62816 .34078 (202*2π)/4792 weeks
203.49865 -.03168 (203*2π)/4792 weeks
204.75945 .04726 (204*2π)/4792 weeks
205.91289 -.15712 (205*2π)/4792 weeks
206.89087 -.05864 (206*2π)/4792 weeks
207.9564 -.14123 (207*2π)/4792 weeks
2081.03714 -.15838 (208*2π)/4792 weeks
2091.24813 .12448 (209*2π)/4792 weeks
2101.40757 .37812 (210*2π)/4792 weeks
2111.27629 .25819 (211*2π)/4792 weeks
2121.18085 .33945 (212*2π)/4792 weeks
2131.0168 .33783 (213*2π)/4792 weeks
2141.13879 .34545 (214*2π)/4792 weeks
2151.23947 .69073 (215*2π)/4792 weeks
216.99298 .51939 (216*2π)/4792 weeks
217.70692 .57422 (217*2π)/4792 weeks
218.5435 .61872 (218*2π)/4792 weeks
219.33491 .08186 (219*2π)/4792 weeks
220.43714 .22916 (220*2π)/4792 weeks
221.67633 .24059 (221*2π)/4792 weeks
222.69645 -.09999 (222*2π)/4792 weeks
223.24389 .06795 (223*2π)/4792 weeks
224.34284 -.56066 (224*2π)/4792 weeks
225.8323 -.69142 (225*2π)/4792 weeks
226.91713 -.35577 (226*2π)/4792 weeks
2271.00974 -.73517 (227*2π)/4792 weeks
2281.56506 -.42463 (228*2π)/4792 weeks
2291.58625 .0196 (229*2π)/4792 weeks
2301.30112 -.07535 (230*2π)/4792 weeks
2311.40385 -.01459 (231*2π)/4792 weeks
2321.19155 .29299 (232*2π)/4792 weeks
2331.2007 .30047 (233*2π)/4792 weeks
2341.1859 .42487 (234*2π)/4792 weeks
235.82685 .39799 (235*2π)/4792 weeks
236.5931 -.13781 (236*2π)/4792 weeks
237.90754 -.19629 (237*2π)/4792 weeks
2381.27989 .2061 (238*2π)/4792 weeks
239.67946 .22529 (239*2π)/4792 weeks
240.67946 -.22529 (240*2π)/4792 weeks
2411.27989 -.2061 (241*2π)/4792 weeks
242.90754 .19629 (242*2π)/4792 weeks
243.5931 .13781 (243*2π)/4792 weeks
244.82685 -.39799 (244*2π)/4792 weeks
2451.1859 -.42487 (245*2π)/4792 weeks
2461.2007 -.30047 (246*2π)/4792 weeks
2471.19155 -.29299 (247*2π)/4792 weeks
2481.40385 .01459 (248*2π)/4792 weeks
2491.30112 .07535 (249*2π)/4792 weeks
2501.58625 -.0196 (250*2π)/4792 weeks
2511.56506 .42463 (251*2π)/4792 weeks
2521.00974 .73517 (252*2π)/4792 weeks
253.91713 .35577 (253*2π)/4792 weeks
254.8323 .69142 (254*2π)/4792 weeks
255.34284 .56066 (255*2π)/4792 weeks
256.24389 -.06795 (256*2π)/4792 weeks
257.69645 .09999 (257*2π)/4792 weeks
258.67633 -.24059 (258*2π)/4792 weeks
259.43714 -.22916 (259*2π)/4792 weeks
260.33491 -.08186 (260*2π)/4792 weeks
261.5435 -.61872 (261*2π)/4792 weeks
262.70692 -.57422 (262*2π)/4792 weeks
263.99298 -.51939 (263*2π)/4792 weeks
2641.23947 -.69073 (264*2π)/4792 weeks
2651.13879 -.34545 (265*2π)/4792 weeks
2661.0168 -.33783 (266*2π)/4792 weeks
2671.18085 -.33945 (267*2π)/4792 weeks
2681.27629 -.25819 (268*2π)/4792 weeks
2691.40757 -.37812 (269*2π)/4792 weeks
2701.24813 -.12448 (270*2π)/4792 weeks
2711.03714 .15838 (271*2π)/4792 weeks
272.9564 .14123 (272*2π)/4792 weeks
273.89087 .05864 (273*2π)/4792 weeks
274.91289 .15712 (274*2π)/4792 weeks
275.75945 -.04726 (275*2π)/4792 weeks
276.49865 .03168 (276*2π)/4792 weeks
277.62816 -.34078 (277*2π)/4792 weeks
278.82822 -.29365 (278*2π)/4792 weeks
279.69968 -.21871 (279*2π)/4792 weeks
280.57108 -.57892 (280*2π)/4792 weeks
281.91801 -.4363 (281*2π)/4792 weeks
282.88702 -.3842 (282*2π)/4792 weeks
2831.05259 -.41944 (283*2π)/4792 weeks
284.72758 -.13728 (284*2π)/4792 weeks
285.64894 -.4928 (285*2π)/4792 weeks
2861.09754 -.78646 (286*2π)/4792 weeks
287.96029 -.14812 (287*2π)/4792 weeks
288.67651 -.28554 (288*2π)/4792 weeks
289.83709 -.71258 (289*2π)/4792 weeks
290.94667 -.73926 (290*2π)/4792 weeks
2911.01562 -.51535 (291*2π)/4792 weeks
2921.18584 -.47234 (292*2π)/4792 weeks
2931.18773 -.18692 (293*2π)/4792 weeks
294.95479 -.29348 (294*2π)/4792 weeks
2951.02052 -.45249 (295*2π)/4792 weeks
296.70554 -.13145 (296*2π)/4792 weeks
297.51701 -.3245 (297*2π)/4792 weeks
298.76263 -.51057 (298*2π)/4792 weeks
299.44537 -.7744 (299*2π)/4792 weeks
300.68501 -1.1472 (300*2π)/4792 weeks
3011.30244 -.9954 (301*2π)/4792 weeks
3021.02569 -.45531 (302*2π)/4792 weeks
3031.01048 -.82281 (303*2π)/4792 weeks
304.92962 -.45264 (304*2π)/4792 weeks
305.6401 -1.00502 (305*2π)/4792 weeks
3061.02121 -1.44056 (306*2π)/4792 weeks
3071.66882 -1.39918 (307*2π)/4792 weeks
3081.97163 -.97705 (308*2π)/4792 weeks
3092.05273 -.15716 (309*2π)/4792 weeks
3101.58774 -.22531 (310*2π)/4792 weeks
3111.67842 -.48605 (311*2π)/4792 weeks
3121.44994 .06679 (312*2π)/4792 weeks
3131.10866 -.14258 (313*2π)/4792 weeks
3141.05652 -.29083 (314*2π)/4792 weeks
315.97357 -.23886 (315*2π)/4792 weeks
316.85749 -.52534 (316*2π)/4792 weeks
3171.39364 -.54778 (317*2π)/4792 weeks
3181.07719 -.38713 (318*2π)/4792 weeks
3191.03774 -.49092 (319*2π)/4792 weeks
3201.10269 -.54756 (320*2π)/4791 weeks
3211.0057 -.52494 (321*2π)/4791 weeks
3221.28231 -.7358 (322*2π)/4791 weeks
3231.66454 -.67699 (323*2π)/4791 weeks
3241.49088 -.16678 (324*2π)/4791 weeks
3251.20059 -.19077 (325*2π)/4791 weeks
3261.08621 -.4291 (326*2π)/4791 weeks
3271.17454 .15566 (327*2π)/4791 weeks
3281.06494 .02927 (328*2π)/4791 weeks
329.97544 .07415 (329*2π)/4791 weeks
330.54748 -.19145 (330*2π)/4791 weeks
331.44241 -.16895 (331*2π)/4791 weeks
332.2592 -.37553 (332*2π)/4791 weeks
333.27326 -.67816 (333*2π)/4791 weeks
334.40057 -.81955 (334*2π)/4791 weeks
335.40656 -.97626 (335*2π)/4791 weeks
336.36737 -1.22656 (336*2π)/4791 weeks
337.62744 -1.45434 (337*2π)/4791 weeks
3381.14846 -1.49846 (338*2π)/4791 weeks
3391.15011 -1.15374 (339*2π)/4791 weeks
3401.21158 -1.29557 (340*2π)/4791 weeks
3411.63476 -1.23267 (341*2π)/4791 weeks
3421.54573 -.89535 (342*2π)/4791 weeks
3431.40286 -.80993 (343*2π)/4791 weeks
3441.43372 -.83383 (344*2π)/4791 weeks
3451.58372 -.96343 (345*2π)/4791 weeks
3461.92675 -.73801 (346*2π)/4791 weeks
3471.47216 -.19127 (347*2π)/4791 weeks
3481.08236 -.263 (348*2π)/4791 weeks
3491.23081 -.37031 (349*2π)/4791 weeks
350.72559 -.21244 (350*2π)/4791 weeks
351.86011 -.50866 (351*2π)/4791 weeks
352.82469 -.674 (352*2π)/4791 weeks
353.35149 -1.16429 (353*2π)/4791 weeks
3541.00749 -1.16403 (354*2π)/4791 weeks
3551.4855 -.80046 (355*2π)/4791 weeks
3561.02878 -.40114 (356*2π)/4791 weeks
357.55563 -.63607 (357*2π)/4791 weeks
358.46339 -1.35393 (358*2π)/4791 weeks
359.71884 -1.66876 (359*2π)/4791 weeks
3601.45386 -1.49839 (360*2π)/4791 weeks
3611.50262 -1.21955 (361*2π)/4791 weeks
3621.67541 -.97156 (362*2π)/4791 weeks
3631.69185 -.82415 (363*2π)/4791 weeks
364.99867 -.84934 (364*2π)/4791 weeks
365.83554 -1.05802 (365*2π)/4791 weeks
3661.62014 -1.20211 (366*2π)/4791 weeks
3671.5339 -.92563 (367*2π)/4791 weeks
3681.48541 -.8919 (368*2π)/4791 weeks
3691.51038 -.98761 (369*2π)/4791 weeks
3701.69303 -1.12518 (370*2π)/4791 weeks
3711.77477 -1.1379 (371*2π)/4791 weeks
3722.41314 -.66472 (372*2π)/4791 weeks
3731.91704 -.04259 (373*2π)/4791 weeks
3741.38556 .03333 (374*2π)/4791 weeks
3751.73492 .41543 (375*2π)/4791 weeks
3761.16041 .47121 (376*2π)/4791 weeks
377.57459 .03048 (377*2π)/4791 weeks
378.64277 .43369 (378*2π)/4791 weeks
379-.19948 .16208 (379*2π)/4791 weeks
380-.28565 -.48839 (380*2π)/4791 weeks
381-.02873 -.78156 (381*2π)/4791 weeks
382-.20057 -.43407 (382*2π)/4791 weeks
383-.61571 -1.09685 (383*2π)/4791 weeks
384-.58218 -2.21576 (384*2π)/4791 weeks
385.11523 -2.18965 (385*2π)/4791 weeks
386.34743 -1.84979 (386*2π)/4791 weeks
3871.04534 -2.66966 (387*2π)/4791 weeks
3881.55074 -1.93928 (388*2π)/4791 weeks
3891.06162 -1.69629 (389*2π)/4791 weeks
390.89126 -1.85707 (390*2π)/4791 weeks
3911.32492 -1.85541 (391*2π)/4791 weeks
3921.90291 -.90253 (392*2π)/4791 weeks
3931.38043 -.84861 (393*2π)/4791 weeks
3941.15544 -1.03893 (394*2π)/4791 weeks
395.7679 -.93401 (395*2π)/4791 weeks
396.38498 -1.51792 (396*2π)/4791 weeks
3971.20875 -1.75072 (397*2π)/4791 weeks
3981.37939 -1.13794 (398*2π)/4791 weeks
3991.05591 -.83375 (399*2π)/4791 weeks
4001.00362 -.66062 (400*2π)/4791 weeks
401.51748 -.45876 (401*2π)/4791 weeks
402.02358 -.74297 (402*2π)/4791 weeks
403-.39034 -1.85345 (403*2π)/4791 weeks
404-.40353 -1.99978 (404*2π)/4791 weeks
405-.05294 -2.51678 (405*2π)/4791 weeks
406.35253 -2.49968 (406*2π)/4791 weeks
407.69357 -2.49222 (407*2π)/4791 weeks
4081.02193 -2.80553 (408*2π)/4791 weeks
4091.13133 -2.18134 (409*2π)/4791 weeks
4101.46646 -2.49674 (410*2π)/4791 weeks
4111.29917 -1.60173 (411*2π)/4791 weeks
412.751 -2.05837 (412*2π)/4791 weeks
4132.26944 -2.59815 (413*2π)/4791 weeks
4141.7648 -1.06273 (414*2π)/4791 weeks
415.75104 -.6208 (415*2π)/4791 weeks
416.37627 -1.1273 (416*2π)/4791 weeks
417-.55608 -1.35561 (417*2π)/4791 weeks
418-.30141 -2.67601 (418*2π)/4791 weeks
419.28071 -3.08681 (419*2π)/4791 weeks
420.75652 -2.5416 (420*2π)/4791 weeks
421.97939 -2.97747 (421*2π)/4791 weeks
422.40863 -2.19472 (422*2π)/4791 weeks
423.79529 -2.09369 (423*2π)/4791 weeks
4241.01728 -2.62688 (424*2π)/4791 weeks
425-.05462 -2.56707 (425*2π)/4791 weeks
426.53111 -3.64256 (426*2π)/4791 weeks
4271.19203 -3.5861 (427*2π)/4791 weeks
4281.45209 -3.15437 (428*2π)/4791 weeks
4291.72325 -2.89949 (429*2π)/4791 weeks
4302.43058 -2.27617 (430*2π)/4791 weeks
4311.03855 -1.6403 (431*2π)/4791 weeks
432.47732 -2.76973 (432*2π)/4791 weeks
433.82021 -2.36017 (433*2π)/4791 weeks
434.11238 -1.92215 (434*2π)/4791 weeks
435.01667 -2.58145 (435*2π)/4791 weeks
436.46467 -1.76622 (436*2π)/4791 weeks
437.17368 -3.13794 (437*2π)/4791 weeks
438-1.25077 -2.97923 (438*2π)/4791 weeks
439-.81897 -3.56495 (439*2π)/4791 weeks
440-.42602 -4.04029 (440*2π)/4791 weeks
441-.36013 -4.27157 (441*2π)/4791 weeks
442.68792 -3.68535 (442*2π)/4791 weeks
443-1.10866 -3.06923 (443*2π)/4791 weeks
444-3.33598 -6.006 (444*2π)/4791 weeks
445-1.04183 -7.27899 (445*2π)/4791 weeks
446.89966 -6.16191 (446*2π)/4791 weeks
447-.29248 -6.41961 (447*2π)/4791 weeks
448-.69235 -6.57685 (448*2π)/4791 weeks
449-.4049 -8.97922 (449*2π)/4791 weeks
4502.4352 -10.14225 (450*2π)/4791 weeks
4513.903 -8.5174 (451*2π)/4791 weeks
4525.10079 -8.61063 (452*2π)/4791 weeks
4534.81745 -6.14372 (453*2π)/4791 weeks
4545.50587 -4.60862 (454*2π)/4791 weeks
4553.71544 -5.40429 (455*2π)/4791 weeks
4564.85602 -3.50586 (456*2π)/4791 weeks
4573.43438 -3.05763 (457*2π)/4791 weeks
458-.24218 -2.87122 (458*2π)/4791 weeks
459-.70377 -6.17384 (459*2π)/4791 weeks
460.26607 -5.30347 (460*2π)/4791 weeks
461-2.48745 -6.23272 (461*2π)/4791 weeks
462-.40831 -8.57482 (462*2π)/4791 weeks
463-1.03098 -10.1317 (463*2π)/4791 weeks
464-1.7176 -10.13681 (464*2π)/4791 weeks
465-4.02089 -8.17968 (465*2π)/4791 weeks
466-3.99173 -14.81 (466*2π)/4791 weeks
467-.17885 -19.83886 (467*2π)/4791 weeks
468-2.40471 -19.81674 (468*2π)/4791 weeks
4691.66777 -24.87797 (469*2π)/4791 weeks
4708.143 -23.25288 (470*2π)/4791 weeks
4718.22912 -29.31077 (471*2π)/4791 weeks
47215.90665 -32.96438 (472*2π)/4791 weeks
47324.1801 -21.36076 (473*2π)/4791 weeks
47419.67705 -21.45979 (474*2π)/4791 weeks
47521.4007 -29.5326 (475*2π)/4791 weeks
47635.1688 -20.8686 (476*2π)/4791 weeks
4773.68845 -38.70735 (477*2π)/4791 weeks



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