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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 47 weeks (25.0282*sine), 39 weeks (20.6352*sine), and 43 weeks (18.7278*sine).

KWT (VanEck Vectors Solar Energy ETF) has an average price of 109.14 (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 4/17/2017 for KWT (VanEck Vectors Solar Energy ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0109.1379   0 
158.73675 55.48549 (1*2π)/470470 weeks
23.38482 36.74541 (2*2π)/470235 weeks
336.21407 23.35064 (3*2π)/470157 weeks
421.01313 30.12357 (4*2π)/470118 weeks
520.43691 22.30379 (5*2π)/47094 weeks
625.94885 23.75443 (6*2π)/47078 weeks
714.35986 33.61829 (7*2π)/47067 weeks
86.90001 29.75781 (8*2π)/47059 weeks
98.60696 25.79979 (9*2π)/47052 weeks
101.11949 25.02816 (10*2π)/47047 weeks
11-1.91613 18.72783 (11*2π)/47043 weeks
12-2.56974 20.63518 (12*2π)/47039 weeks
13-4.60882 15.21485 (13*2π)/47036 weeks
14-1.22591 8.4747 (14*2π)/47034 weeks
15-1.34851 9.33659 (15*2π)/47031 weeks
16-1.96652 9.50787 (16*2π)/47029 weeks
17-1.44416 9.45612 (17*2π)/47028 weeks
18-1.36931 5.47336 (18*2π)/47026 weeks
19.65317 6.06592 (19*2π)/47025 weeks
20-1.25853 4.9618 (20*2π)/47024 weeks
211.23434 1.93607 (21*2π)/47022 weeks
223.29007 3.49172 (22*2π)/47021 weeks
235.06613 5.40796 (23*2π)/47020 weeks
243.83073 4.72468 (24*2π)/47020 weeks
255.65885 6.65116 (25*2π)/47019 weeks
266.07688 7.18716 (26*2π)/47018 weeks
273.95515 8.87394 (27*2π)/47017 weeks
283.60406 9.88062 (28*2π)/47017 weeks
29.48933 10.40983 (29*2π)/47016 weeks
30-1.09891 8.06026 (30*2π)/47016 weeks
31-.05402 6.92692 (31*2π)/47015 weeks
32.21963 6.06393 (32*2π)/47015 weeks
33-.03147 8.01717 (33*2π)/47014 weeks
34-2.12617 7.35532 (34*2π)/47014 weeks
35-2.09875 3.18953 (35*2π)/47013 weeks
36.13281 3.19711 (36*2π)/47013 weeks
37-.21225 4.72866 (37*2π)/47013 weeks
38-.41903 4.29414 (38*2π)/47012 weeks
39-.84329 4.03254 (39*2π)/47012 weeks
40-1.03933 3.62449 (40*2π)/47012 weeks
41.36822 2.74069 (41*2π)/47011 weeks
42-.19259 1.81847 (42*2π)/47011 weeks
43.07924 2.95816 (43*2π)/47011 weeks
44.02487 2.28797 (44*2π)/47011 weeks
45.9652 2.49088 (45*2π)/47010 weeks
46.75771 2.95156 (46*2π)/47010 weeks
471.01378 1.70737 (47*2π)/47010 weeks
482.49479 2.16193 (48*2π)/47010 weeks
491.78587 3.01907 (49*2π)/47010 weeks
501.52163 3.29822 (50*2π)/4709 weeks
511.2688 3.74197 (51*2π)/4709 weeks
52.56365 3.80099 (52*2π)/4709 weeks
53-.03906 2.67087 (53*2π)/4709 weeks
541.03535 2.79619 (54*2π)/4709 weeks
55.93255 2.2426 (55*2π)/4709 weeks
56.53956 2.1837 (56*2π)/4708 weeks
57.88785 3.11256 (57*2π)/4708 weeks
58.85174 2.7094 (58*2π)/4708 weeks
59.16645 3.15169 (59*2π)/4708 weeks
60-.45335 2.69926 (60*2π)/4708 weeks
61-.37515 1.23001 (61*2π)/4708 weeks
62.41158 1.18995 (62*2π)/4708 weeks
631.0952 .61113 (63*2π)/4707 weeks
642.01769 1.1939 (64*2π)/4707 weeks
651.74024 3.09026 (65*2π)/4707 weeks
66.92438 1.98853 (66*2π)/4707 weeks
671.68224 1.83635 (67*2π)/4707 weeks
681.25338 2.64097 (68*2π)/4707 weeks
691.39832 2.39708 (69*2π)/4707 weeks
70.77848 2.84352 (70*2π)/4707 weeks
71.69419 2.71529 (71*2π)/4707 weeks
72.41909 2.60102 (72*2π)/4707 weeks
73-.15099 2.35954 (73*2π)/4706 weeks
74-.24347 1.68967 (74*2π)/4706 weeks
75-.7518 1.17195 (75*2π)/4706 weeks
76.02418 .7507 (76*2π)/4706 weeks
77.74638 .66912 (77*2π)/4706 weeks
781.07276 .99989 (78*2π)/4706 weeks
791.35103 1.03092 (79*2π)/4706 weeks
801.50384 1.55405 (80*2π)/4706 weeks
81.79186 1.91913 (81*2π)/4706 weeks
82.59532 1.03892 (82*2π)/4706 weeks
831.07371 .89007 (83*2π)/4706 weeks
841.09354 .905 (84*2π)/4706 weeks
851.46975 .96792 (85*2π)/4706 weeks
861.80462 2.10057 (86*2π)/4705 weeks
871.29476 2.11724 (87*2π)/4705 weeks
881.23974 1.71865 (88*2π)/4705 weeks
891.56551 1.65573 (89*2π)/4705 weeks
901.33609 2.49643 (90*2π)/4705 weeks
91.12994 2.18314 (91*2π)/4705 weeks
92.30678 2.37879 (92*2π)/4705 weeks
93-.23536 2.40878 (93*2π)/4705 weeks
94-.71043 1.20843 (94*2π)/4705 weeks
95-.41166 .51467 (95*2π)/4705 weeks
96.02496 .8111 (96*2π)/4705 weeks
97-.27016 .59229 (97*2π)/4705 weeks
98-.25486 -.05866 (98*2π)/4705 weeks
99.58388 -.47749 (99*2π)/4705 weeks
100.66099 .01543 (100*2π)/4705 weeks
1011.16476 -.52223 (101*2π)/4705 weeks
1021.74599 -.46424 (102*2π)/4705 weeks
1031.43507 .00394 (103*2π)/4705 weeks
1041.99251 .05183 (104*2π)/4705 weeks
1052.50255 .71582 (105*2π)/4704 weeks
1061.82549 1.18527 (106*2π)/4704 weeks
1071.73251 1.1997 (107*2π)/4704 weeks
1081.56453 1.05466 (108*2π)/4704 weeks
1091.56513 .95649 (109*2π)/4704 weeks
1101.62467 .99947 (110*2π)/4704 weeks
1111.66707 1.36459 (111*2π)/4704 weeks
112.95219 .95236 (112*2π)/4704 weeks
1131.03864 .72328 (113*2π)/4704 weeks
1141.68696 .99674 (114*2π)/4704 weeks
1151.76271 1.16201 (115*2π)/4704 weeks
1161.59743 1.32174 (116*2π)/4704 weeks
1171.46679 1.70933 (117*2π)/4704 weeks
118.68115 1.54159 (118*2π)/4704 weeks
119.33113 1.18333 (119*2π)/4704 weeks
120.67324 .59414 (120*2π)/4704 weeks
1211.25406 .51089 (121*2π)/4704 weeks
1221.49159 1.17245 (122*2π)/4704 weeks
1231.05225 1.28438 (123*2π)/4704 weeks
124.40633 .64714 (124*2π)/4704 weeks
125.70156 .67862 (125*2π)/4704 weeks
126.80033 .6273 (126*2π)/4704 weeks
1271.11311 .14498 (127*2π)/4704 weeks
1281.18509 .47015 (128*2π)/4704 weeks
1291.36296 .16605 (129*2π)/4704 weeks
1301.87507 .24651 (130*2π)/4704 weeks
1311.71446 .92407 (131*2π)/4704 weeks
1321.41712 .97057 (132*2π)/4704 weeks
1331.43538 .93495 (133*2π)/4704 weeks
1341.55213 .8929 (134*2π)/4704 weeks
1351.68427 1.07574 (135*2π)/4703 weeks
1361.35388 1.45799 (136*2π)/4703 weeks
1371.15686 1.31879 (137*2π)/4703 weeks
1381.30841 1.43274 (138*2π)/4703 weeks
139.80896 1.65858 (139*2π)/4703 weeks
140.50853 1.41854 (140*2π)/4703 weeks
141.44447 1.05014 (141*2π)/4703 weeks
142.41314 .89072 (142*2π)/4703 weeks
143.32501 .79417 (143*2π)/4703 weeks
144.26749 .5073 (144*2π)/4703 weeks
145.44375 .24111 (145*2π)/4703 weeks
146.65704 .21181 (146*2π)/4703 weeks
147.91296 -.1683 (147*2π)/4703 weeks
1481.02912 -.04258 (148*2π)/4703 weeks
1491.09614 -.08744 (149*2π)/4703 weeks
1501.25373 .50701 (150*2π)/4703 weeks
1511.26691 .20705 (151*2π)/4703 weeks
1521.53358 .15782 (152*2π)/4703 weeks
1531.76913 .64987 (153*2π)/4703 weeks
1541.34336 .76531 (154*2π)/4703 weeks
1551.0413 .56841 (155*2π)/4703 weeks
1561.1529 .5772 (156*2π)/4703 weeks
1571.08182 .51908 (157*2π)/4703 weeks
1581.12544 .40407 (158*2π)/4703 weeks
1591.44204 .61708 (159*2π)/4703 weeks
160.89717 .52235 (160*2π)/4703 weeks
1611.04321 .24319 (161*2π)/4703 weeks
1621.08645 .28802 (162*2π)/4703 weeks
1631.15216 .12239 (163*2π)/4703 weeks
1641.58804 -.03986 (164*2π)/4703 weeks
1651.6061 .55381 (165*2π)/4703 weeks
1661.67608 .29062 (166*2π)/4703 weeks
1672.31164 .40002 (167*2π)/4703 weeks
1682.03045 1.09298 (168*2π)/4703 weeks
1691.59713 1.53686 (169*2π)/4703 weeks
170.92893 1.4247 (170*2π)/4703 weeks
171.64432 .8922 (171*2π)/4703 weeks
1721.17941 .58548 (172*2π)/4703 weeks
173.95297 .8075 (173*2π)/4703 weeks
1741.34392 .5509 (174*2π)/4703 weeks
1751.19758 1.20009 (175*2π)/4703 weeks
176.60152 1.01654 (176*2π)/4703 weeks
177.47977 .55178 (177*2π)/4703 weeks
178.6605 .67299 (178*2π)/4703 weeks
179.7104 .28497 (179*2π)/4703 weeks
1801.07362 .10201 (180*2π)/4703 weeks
181.89499 .36191 (181*2π)/4703 weeks
182.97847 .23961 (182*2π)/4703 weeks
1831.28237 .44953 (183*2π)/4703 weeks
1841.16853 .645 (184*2π)/4703 weeks
1851.20522 .64944 (185*2π)/4703 weeks
186.94572 .64195 (186*2π)/4703 weeks
187.60418 .53315 (187*2π)/4703 weeks
188.87045 .25119 (188*2π)/4703 weeks
1891.35929 .49504 (189*2π)/4702 weeks
190.70202 .65849 (190*2π)/4702 weeks
191.65787 .30367 (191*2π)/4702 weeks
1921.12393 .26881 (192*2π)/4702 weeks
193.90831 .44151 (193*2π)/4702 weeks
194.94185 .44855 (194*2π)/4702 weeks
195.78485 .68075 (195*2π)/4702 weeks
196.67623 .23312 (196*2π)/4702 weeks
197.85462 .25157 (197*2π)/4702 weeks
198.70407 .37595 (198*2π)/4702 weeks
199.4788 .08854 (199*2π)/4702 weeks
200.83855 .02277 (200*2π)/4702 weeks
201.88564 -.17847 (201*2π)/4702 weeks
202.92674 -.03258 (202*2π)/4702 weeks
203.98119 -.11386 (203*2π)/4702 weeks
2041.07645 -.11557 (204*2π)/4702 weeks
2051.35283 .13084 (205*2π)/4702 weeks
2061.51091 .35305 (206*2π)/4702 weeks
2071.33078 .25215 (207*2π)/4702 weeks
2081.23805 .35211 (208*2π)/4702 weeks
2091.06725 .35238 (209*2π)/4702 weeks
2101.19415 .35833 (210*2π)/4702 weeks
2111.26645 .7429 (211*2π)/4702 weeks
2121.05436 .56861 (212*2π)/4702 weeks
213.75573 .58616 (213*2π)/4702 weeks
214.53186 .63432 (214*2π)/4702 weeks
215.45271 .03439 (215*2π)/4702 weeks
216.42576 .14237 (216*2π)/4702 weeks
217.57693 .28563 (217*2π)/4702 weeks
218.79287 .04316 (218*2π)/4702 weeks
219.22202 -.05208 (219*2π)/4702 weeks
220.49445 -.64654 (220*2π)/4702 weeks
2211.01333 -.65962 (221*2π)/4702 weeks
222.89164 -.43411 (222*2π)/4702 weeks
2231.2661 -.80452 (223*2π)/4702 weeks
2241.63277 -.32631 (224*2π)/4702 weeks
2251.46781 .14457 (225*2π)/4702 weeks
2261.43033 -.01345 (226*2π)/4702 weeks
2271.57116 .14805 (227*2π)/4702 weeks
2281.26496 .18696 (228*2π)/4702 weeks
2291.20933 .26889 (229*2π)/4702 weeks
2301.02048 .50905 (230*2π)/4702 weeks
231.63991 .3668 (231*2π)/4702 weeks
232.91451 -.16857 (232*2π)/4702 weeks
2331.2547 -.20827 (233*2π)/4702 weeks
2341.02206 .40594 (234*2π)/4702 weeks
235.67685   (235*2π)/4702 weeks
2361.02206 -.40594 (236*2π)/4702 weeks
2371.2547 .20827 (237*2π)/4702 weeks
238.91451 .16857 (238*2π)/4702 weeks
239.63991 -.3668 (239*2π)/4702 weeks
2401.02048 -.50905 (240*2π)/4702 weeks
2411.20933 -.26889 (241*2π)/4702 weeks
2421.26496 -.18696 (242*2π)/4702 weeks
2431.57116 -.14805 (243*2π)/4702 weeks
2441.43033 .01345 (244*2π)/4702 weeks
2451.46781 -.14457 (245*2π)/4702 weeks
2461.63277 .32631 (246*2π)/4702 weeks
2471.2661 .80452 (247*2π)/4702 weeks
248.89164 .43411 (248*2π)/4702 weeks
2491.01333 .65962 (249*2π)/4702 weeks
250.49445 .64654 (250*2π)/4702 weeks
251.22202 .05208 (251*2π)/4702 weeks
252.79287 -.04316 (252*2π)/4702 weeks
253.57693 -.28563 (253*2π)/4702 weeks
254.42576 -.14237 (254*2π)/4702 weeks
255.45271 -.03439 (255*2π)/4702 weeks
256.53186 -.63432 (256*2π)/4702 weeks
257.75573 -.58616 (257*2π)/4702 weeks
2581.05436 -.56861 (258*2π)/4702 weeks
2591.26645 -.7429 (259*2π)/4702 weeks
2601.19415 -.35833 (260*2π)/4702 weeks
2611.06725 -.35238 (261*2π)/4702 weeks
2621.23805 -.35211 (262*2π)/4702 weeks
2631.33078 -.25215 (263*2π)/4702 weeks
2641.51091 -.35305 (264*2π)/4702 weeks
2651.35283 -.13084 (265*2π)/4702 weeks
2661.07645 .11557 (266*2π)/4702 weeks
267.98119 .11386 (267*2π)/4702 weeks
268.92674 .03258 (268*2π)/4702 weeks
269.88564 .17847 (269*2π)/4702 weeks
270.83855 -.02277 (270*2π)/4702 weeks
271.4788 -.08854 (271*2π)/4702 weeks
272.70407 -.37595 (272*2π)/4702 weeks
273.85462 -.25157 (273*2π)/4702 weeks
274.67623 -.23312 (274*2π)/4702 weeks
275.78485 -.68075 (275*2π)/4702 weeks
276.94185 -.44855 (276*2π)/4702 weeks
277.90831 -.44151 (277*2π)/4702 weeks
2781.12393 -.26881 (278*2π)/4702 weeks
279.65787 -.30367 (279*2π)/4702 weeks
280.70202 -.65849 (280*2π)/4702 weeks
2811.35929 -.49504 (281*2π)/4702 weeks
282.87045 -.25119 (282*2π)/4702 weeks
283.60418 -.53315 (283*2π)/4702 weeks
284.94572 -.64195 (284*2π)/4702 weeks
2851.20522 -.64944 (285*2π)/4702 weeks
2861.16853 -.645 (286*2π)/4702 weeks
2871.28237 -.44953 (287*2π)/4702 weeks
288.97847 -.23961 (288*2π)/4702 weeks
289.89499 -.36191 (289*2π)/4702 weeks
2901.07362 -.10201 (290*2π)/4702 weeks
291.7104 -.28497 (291*2π)/4702 weeks
292.6605 -.67299 (292*2π)/4702 weeks
293.47977 -.55178 (293*2π)/4702 weeks
294.60152 -1.01654 (294*2π)/4702 weeks
2951.19758 -1.20009 (295*2π)/4702 weeks
2961.34392 -.5509 (296*2π)/4702 weeks
297.95297 -.8075 (297*2π)/4702 weeks
2981.17941 -.58548 (298*2π)/4702 weeks
299.64432 -.8922 (299*2π)/4702 weeks
300.92893 -1.4247 (300*2π)/4702 weeks
3011.59713 -1.53686 (301*2π)/4702 weeks
3022.03045 -1.09298 (302*2π)/4702 weeks
3032.31164 -.40002 (303*2π)/4702 weeks
3041.67608 -.29062 (304*2π)/4702 weeks
3051.6061 -.55381 (305*2π)/4702 weeks
3061.58804 .03986 (306*2π)/4702 weeks
3071.15216 -.12239 (307*2π)/4702 weeks
3081.08645 -.28802 (308*2π)/4702 weeks
3091.04321 -.24319 (309*2π)/4702 weeks
310.89717 -.52235 (310*2π)/4702 weeks
3111.44204 -.61708 (311*2π)/4702 weeks
3121.12544 -.40407 (312*2π)/4702 weeks
3131.08182 -.51908 (313*2π)/4702 weeks
3141.1529 -.5772 (314*2π)/4701 weeks
3151.0413 -.56841 (315*2π)/4701 weeks
3161.34336 -.76531 (316*2π)/4701 weeks
3171.76913 -.64987 (317*2π)/4701 weeks
3181.53358 -.15782 (318*2π)/4701 weeks
3191.26691 -.20705 (319*2π)/4701 weeks
3201.25373 -.50701 (320*2π)/4701 weeks
3211.09614 .08744 (321*2π)/4701 weeks
3221.02912 .04258 (322*2π)/4701 weeks
323.91296 .1683 (323*2π)/4701 weeks
324.65704 -.21181 (324*2π)/4701 weeks
325.44375 -.24111 (325*2π)/4701 weeks
326.26749 -.5073 (326*2π)/4701 weeks
327.32501 -.79417 (327*2π)/4701 weeks
328.41314 -.89072 (328*2π)/4701 weeks
329.44447 -1.05014 (329*2π)/4701 weeks
330.50853 -1.41854 (330*2π)/4701 weeks
331.80896 -1.65858 (331*2π)/4701 weeks
3321.30841 -1.43274 (332*2π)/4701 weeks
3331.15686 -1.31879 (333*2π)/4701 weeks
3341.35388 -1.45799 (334*2π)/4701 weeks
3351.68427 -1.07574 (335*2π)/4701 weeks
3361.55213 -.8929 (336*2π)/4701 weeks
3371.43538 -.93495 (337*2π)/4701 weeks
3381.41712 -.97057 (338*2π)/4701 weeks
3391.71446 -.92407 (339*2π)/4701 weeks
3401.87507 -.24651 (340*2π)/4701 weeks
3411.36296 -.16605 (341*2π)/4701 weeks
3421.18509 -.47015 (342*2π)/4701 weeks
3431.11311 -.14498 (343*2π)/4701 weeks
344.80033 -.6273 (344*2π)/4701 weeks
345.70156 -.67862 (345*2π)/4701 weeks
346.40633 -.64714 (346*2π)/4701 weeks
3471.05225 -1.28438 (347*2π)/4701 weeks
3481.49159 -1.17245 (348*2π)/4701 weeks
3491.25406 -.51089 (349*2π)/4701 weeks
350.67324 -.59414 (350*2π)/4701 weeks
351.33113 -1.18333 (351*2π)/4701 weeks
352.68115 -1.54159 (352*2π)/4701 weeks
3531.46679 -1.70933 (353*2π)/4701 weeks
3541.59743 -1.32174 (354*2π)/4701 weeks
3551.76271 -1.16201 (355*2π)/4701 weeks
3561.68696 -.99674 (356*2π)/4701 weeks
3571.03864 -.72328 (357*2π)/4701 weeks
358.95219 -.95236 (358*2π)/4701 weeks
3591.66707 -1.36459 (359*2π)/4701 weeks
3601.62467 -.99947 (360*2π)/4701 weeks
3611.56513 -.95649 (361*2π)/4701 weeks
3621.56453 -1.05466 (362*2π)/4701 weeks
3631.73251 -1.1997 (363*2π)/4701 weeks
3641.82549 -1.18527 (364*2π)/4701 weeks
3652.50255 -.71582 (365*2π)/4701 weeks
3661.99251 -.05183 (366*2π)/4701 weeks
3671.43507 -.00394 (367*2π)/4701 weeks
3681.74599 .46424 (368*2π)/4701 weeks
3691.16476 .52223 (369*2π)/4701 weeks
370.66099 -.01543 (370*2π)/4701 weeks
371.58388 .47749 (371*2π)/4701 weeks
372-.25486 .05866 (372*2π)/4701 weeks
373-.27016 -.59229 (373*2π)/4701 weeks
374.02496 -.8111 (374*2π)/4701 weeks
375-.41166 -.51467 (375*2π)/4701 weeks
376-.71043 -1.20843 (376*2π)/4701 weeks
377-.23536 -2.40878 (377*2π)/4701 weeks
378.30678 -2.37879 (378*2π)/4701 weeks
379.12994 -2.18314 (379*2π)/4701 weeks
3801.33609 -2.49643 (380*2π)/4701 weeks
3811.56551 -1.65573 (381*2π)/4701 weeks
3821.23974 -1.71865 (382*2π)/4701 weeks
3831.29476 -2.11724 (383*2π)/4701 weeks
3841.80462 -2.10057 (384*2π)/4701 weeks
3851.46975 -.96792 (385*2π)/4701 weeks
3861.09354 -.905 (386*2π)/4701 weeks
3871.07371 -.89007 (387*2π)/4701 weeks
388.59532 -1.03892 (388*2π)/4701 weeks
389.79186 -1.91913 (389*2π)/4701 weeks
3901.50384 -1.55405 (390*2π)/4701 weeks
3911.35103 -1.03092 (391*2π)/4701 weeks
3921.07276 -.99989 (392*2π)/4701 weeks
393.74638 -.66912 (393*2π)/4701 weeks
394.02418 -.7507 (394*2π)/4701 weeks
395-.7518 -1.17195 (395*2π)/4701 weeks
396-.24347 -1.68967 (396*2π)/4701 weeks
397-.15099 -2.35954 (397*2π)/4701 weeks
398.41909 -2.60102 (398*2π)/4701 weeks
399.69419 -2.71529 (399*2π)/4701 weeks
400.77848 -2.84352 (400*2π)/4701 weeks
4011.39832 -2.39708 (401*2π)/4701 weeks
4021.25338 -2.64097 (402*2π)/4701 weeks
4031.68224 -1.83635 (403*2π)/4701 weeks
404.92438 -1.98853 (404*2π)/4701 weeks
4051.74024 -3.09026 (405*2π)/4701 weeks
4062.01769 -1.1939 (406*2π)/4701 weeks
4071.0952 -.61113 (407*2π)/4701 weeks
408.41158 -1.18995 (408*2π)/4701 weeks
409-.37515 -1.23001 (409*2π)/4701 weeks
410-.45335 -2.69926 (410*2π)/4701 weeks
411.16645 -3.15169 (411*2π)/4701 weeks
412.85174 -2.7094 (412*2π)/4701 weeks
413.88785 -3.11256 (413*2π)/4701 weeks
414.53956 -2.1837 (414*2π)/4701 weeks
415.93255 -2.2426 (415*2π)/4701 weeks
4161.03535 -2.79619 (416*2π)/4701 weeks
417-.03906 -2.67087 (417*2π)/4701 weeks
418.56365 -3.80099 (418*2π)/4701 weeks
4191.2688 -3.74197 (419*2π)/4701 weeks
4201.52163 -3.29822 (420*2π)/4701 weeks
4211.78587 -3.01907 (421*2π)/4701 weeks
4222.49479 -2.16193 (422*2π)/4701 weeks
4231.01378 -1.70737 (423*2π)/4701 weeks
424.75771 -2.95156 (424*2π)/4701 weeks
425.9652 -2.49088 (425*2π)/4701 weeks
426.02487 -2.28797 (426*2π)/4701 weeks
427.07924 -2.95816 (427*2π)/4701 weeks
428-.19259 -1.81847 (428*2π)/4701 weeks
429.36822 -2.74069 (429*2π)/4701 weeks
430-1.03933 -3.62449 (430*2π)/4701 weeks
431-.84329 -4.03254 (431*2π)/4701 weeks
432-.41903 -4.29414 (432*2π)/4701 weeks
433-.21225 -4.72866 (433*2π)/4701 weeks
434.13281 -3.19711 (434*2π)/4701 weeks
435-2.09875 -3.18953 (435*2π)/4701 weeks
436-2.12617 -7.35532 (436*2π)/4701 weeks
437-.03147 -8.01717 (437*2π)/4701 weeks
438.21963 -6.06393 (438*2π)/4701 weeks
439-.05402 -6.92692 (439*2π)/4701 weeks
440-1.09891 -8.06026 (440*2π)/4701 weeks
441.48933 -10.40983 (441*2π)/4701 weeks
4423.60406 -9.88062 (442*2π)/4701 weeks
4433.95515 -8.87394 (443*2π)/4701 weeks
4446.07688 -7.18716 (444*2π)/4701 weeks
4455.65885 -6.65116 (445*2π)/4701 weeks
4463.83073 -4.72468 (446*2π)/4701 weeks
4475.06613 -5.40796 (447*2π)/4701 weeks
4483.29007 -3.49172 (448*2π)/4701 weeks
4491.23434 -1.93607 (449*2π)/4701 weeks
450-1.25853 -4.9618 (450*2π)/4701 weeks
451.65317 -6.06592 (451*2π)/4701 weeks
452-1.36931 -5.47336 (452*2π)/4701 weeks
453-1.44416 -9.45612 (453*2π)/4701 weeks
454-1.96652 -9.50787 (454*2π)/4701 weeks
455-1.34851 -9.33659 (455*2π)/4701 weeks
456-1.22591 -8.4747 (456*2π)/4701 weeks
457-4.60882 -15.21485 (457*2π)/4701 weeks
458-2.56974 -20.63518 (458*2π)/4701 weeks
459-1.91613 -18.72783 (459*2π)/4701 weeks
4601.11949 -25.02816 (460*2π)/4701 weeks
4618.60696 -25.79979 (461*2π)/4701 weeks
4626.90001 -29.75781 (462*2π)/4701 weeks
46314.35986 -33.61829 (463*2π)/4701 weeks
46425.94885 -23.75443 (464*2π)/4701 weeks
46520.43691 -22.30379 (465*2π)/4701 weeks
46621.01313 -30.12357 (466*2π)/4701 weeks
46736.21407 -23.35064 (467*2π)/4701 weeks
4683.38482 -36.74541 (468*2π)/4701 weeks



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