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Fourier Analysis of REW (ProShares UltraShort Technology)


REW (ProShares UltraShort Technology) appears to have interesting cyclic behaviour every 44 weeks (55.6796*sine), 48 weeks (37.3456*sine), and 48 weeks (35.231*cosine).

REW (ProShares UltraShort Technology) has an average price of 326.34 (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 2/2/2007 to 3/13/2017 for REW (ProShares UltraShort Technology), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0326.3437   0 
1148.0035 338.3176 (1*2π)/529529 weeks
2-52.64385 204.9529 (2*2π)/529265 weeks
3-79.14223 45.5783 (3*2π)/529176 weeks
4-3.70378 -22.11224 (4*2π)/529132 weeks
565.97163 19.06172 (5*2π)/529106 weeks
645.95283 74.28032 (6*2π)/52988 weeks
7-15.86442 80.59063 (7*2π)/52976 weeks
8-34.24367 15.76196 (8*2π)/52966 weeks
97.22335 -2.69904 (9*2π)/52959 weeks
1027.58788 9.56468 (10*2π)/52953 weeks
1135.23098 37.3456 (11*2π)/52948 weeks
124.18884 55.67962 (12*2π)/52944 weeks
13-20.30828 35.45557 (13*2π)/52941 weeks
14-18.62798 12.15902 (14*2π)/52938 weeks
15-4.66429 1.34535 (15*2π)/52935 weeks
165.14365 3.29042 (16*2π)/52933 weeks
1715.37015 11.00127 (17*2π)/52931 weeks
188.68319 19.97447 (18*2π)/52929 weeks
194.05855 18.7853 (19*2π)/52928 weeks
201.96451 15.80708 (20*2π)/52926 weeks
211.61605 16.51019 (21*2π)/52925 weeks
22-.15264 10.69931 (22*2π)/52924 weeks
234.76025 16.27337 (23*2π)/52923 weeks
24.99041 17.96199 (24*2π)/52922 weeks
25-6.66469 19.45352 (25*2π)/52921 weeks
26-9.54034 5.59147 (26*2π)/52920 weeks
27-3.55583 1.03932 (27*2π)/52920 weeks
286.95393 -2.37333 (28*2π)/52919 weeks
2913.95146 9.34015 (29*2π)/52918 weeks
305.9441 20.70681 (30*2π)/52918 weeks
31-7.76312 19.90732 (31*2π)/52917 weeks
32-14.95926 5.18389 (32*2π)/52917 weeks
33-.6082 -6.64084 (33*2π)/52916 weeks
349.99111 1.78652 (34*2π)/52916 weeks
358.47601 11.1995 (35*2π)/52915 weeks
36.40485 12.47016 (36*2π)/52915 weeks
37-1.94447 8.81082 (37*2π)/52914 weeks
38-2.72453 4.81029 (38*2π)/52914 weeks
393.14844 1.28114 (39*2π)/52914 weeks
405.22737 9.41643 (40*2π)/52913 weeks
41-1.04679 9.24168 (41*2π)/52913 weeks
42.56842 5.30295 (42*2π)/52913 weeks
43.63081 5.91925 (43*2π)/52912 weeks
442.67867 7.88997 (44*2π)/52912 weeks
45-3.16513 9.90357 (45*2π)/52912 weeks
46-3.81395 4.34821 (46*2π)/52912 weeks
47-2.77382 .43682 (47*2π)/52911 weeks
481.51087 -.20485 (48*2π)/52911 weeks
494.4565 3.5197 (49*2π)/52911 weeks
501.21223 5.73174 (50*2π)/52911 weeks
51.44217 4.56603 (51*2π)/52910 weeks
52-.10498 2.39334 (52*2π)/52910 weeks
534.01536 .6582 (53*2π)/52910 weeks
545.65869 7.38454 (54*2π)/52910 weeks
55-.36708 6.8932 (55*2π)/52910 weeks
56-1.12583 3.89255 (56*2π)/5299 weeks
571.2203 1.81592 (57*2π)/5299 weeks
583.24342 3.6505 (58*2π)/5299 weeks
59.73734 6.10702 (59*2π)/5299 weeks
60-2.0779 2.54791 (60*2π)/5299 weeks
61.51646 -.54424 (61*2π)/5299 weeks
625.83997 .17222 (62*2π)/5299 weeks
636.398 5.85265 (63*2π)/5298 weeks
64.81603 8.21373 (64*2π)/5298 weeks
65-.79371 5.04031 (65*2π)/5298 weeks
66-1.01451 1.75155 (66*2π)/5298 weeks
674.74491 1.96432 (67*2π)/5298 weeks
682.65251 7.84062 (68*2π)/5298 weeks
69-3.42486 6.99049 (69*2π)/5298 weeks
70-4.44393 .11153 (70*2π)/5298 weeks
712.15871 -3.42207 (71*2π)/5297 weeks
725.68619 2.19537 (72*2π)/5297 weeks
732.25008 4.32425 (73*2π)/5297 weeks
741.78601 5.31846 (74*2π)/5297 weeks
75-2.84829 3.34831 (75*2π)/5297 weeks
76.33683 -2.3628 (76*2π)/5297 weeks
775.2708 -.32185 (77*2π)/5297 weeks
786.61552 4.29709 (78*2π)/5297 weeks
791.97317 7.7135 (79*2π)/5297 weeks
80-1.14488 5.74871 (80*2π)/5297 weeks
81-3.51919 2.11092 (81*2π)/5297 weeks
82.49994 -2.79156 (82*2π)/5296 weeks
835.85336 -.00228 (83*2π)/5296 weeks
845.15498 5.10462 (84*2π)/5296 weeks
85.60298 6.29906 (85*2π)/5296 weeks
86-2.29907 3.13693 (86*2π)/5296 weeks
87-.46989 -.21961 (87*2π)/5296 weeks
883.15679 .13518 (88*2π)/5296 weeks
893.58882 3.51259 (89*2π)/5296 weeks
90.42568 3.74665 (90*2π)/5296 weeks
911.21581 1.58515 (91*2π)/5296 weeks
921.23299 3.07775 (92*2π)/5296 weeks
93-.02964 2.40122 (93*2π)/5296 weeks
94-.8645 .27698 (94*2π)/5296 weeks
952.18431 -2.0512 (95*2π)/5296 weeks
965.63775 .23416 (96*2π)/5296 weeks
974.91026 4.3779 (97*2π)/5295 weeks
98.6793 5.68093 (98*2π)/5295 weeks
99-2.43167 2.14434 (99*2π)/5295 weeks
100.18744 -2.17611 (100*2π)/5295 weeks
1015.28297 -2.51819 (101*2π)/5295 weeks
1027.64511 3.97722 (102*2π)/5295 weeks
1033.47073 7.2728 (103*2π)/5295 weeks
104-1.95105 5.96271 (104*2π)/5295 weeks
105-3.22911 .17873 (105*2π)/5295 weeks
1061.44941 -3.30967 (106*2π)/5295 weeks
1076.52279 .21789 (107*2π)/5295 weeks
1085.09742 5.07917 (108*2π)/5295 weeks
1091.42841 6.51179 (109*2π)/5295 weeks
110-2.95101 3.99029 (110*2π)/5295 weeks
111-1.461 -1.37203 (111*2π)/5295 weeks
1123.01891 -1.67882 (112*2π)/5295 weeks
1134.55117 1.45806 (113*2π)/5295 weeks
1143.00175 3.94155 (114*2π)/5295 weeks
115.03578 3.17959 (115*2π)/5295 weeks
116-.01163 1.48367 (116*2π)/5295 weeks
1171.5171 -.95088 (117*2π)/5295 weeks
1184.77496 .50949 (118*2π)/5294 weeks
1194.09665 4.5332 (119*2π)/5294 weeks
120.84172 3.83766 (120*2π)/5294 weeks
121.11694 2.15778 (121*2π)/5294 weeks
1221.0299 1.25186 (122*2π)/5294 weeks
1231.01197 1.9023 (123*2π)/5294 weeks
1241.66044 1.08344 (124*2π)/5294 weeks
1251.98185 2.00175 (125*2π)/5294 weeks
126.47164 2.13085 (126*2π)/5294 weeks
127.80428 -.0603 (127*2π)/5294 weeks
1283.43908 -.18579 (128*2π)/5294 weeks
1293.92218 2.20844 (129*2π)/5294 weeks
1302.94595 2.95102 (130*2π)/5294 weeks
131.86405 3.67912 (131*2π)/5294 weeks
132.58145 1.39365 (132*2π)/5294 weeks
1332.34978 2.10619 (133*2π)/5294 weeks
1341.06465 2.74442 (134*2π)/5294 weeks
135.78452 2.04598 (135*2π)/5294 weeks
136.60126 .47286 (136*2π)/5294 weeks
1372.85916 1.20999 (137*2π)/5294 weeks
1381.21891 2.56319 (138*2π)/5294 weeks
139.40171 1.29201 (139*2π)/5294 weeks
1401.19085 .56926 (140*2π)/5294 weeks
1412.24988 .92054 (141*2π)/5294 weeks
1422.19074 2.28637 (142*2π)/5294 weeks
1431.29896 1.79534 (143*2π)/5294 weeks
144.41129 1.61636 (144*2π)/5294 weeks
1451.51751 -.45617 (145*2π)/5294 weeks
1463.17279 1.68909 (146*2π)/5294 weeks
1471.90391 1.8607 (147*2π)/5294 weeks
1481.65689 2.28052 (148*2π)/5294 weeks
1491.12993 1.7239 (149*2π)/5294 weeks
1501.12756 1.57048 (150*2π)/5294 weeks
1511.18835 1.0513 (151*2π)/5294 weeks
1522.75531 1.23546 (152*2π)/5293 weeks
1531.3224 2.9418 (153*2π)/5293 weeks
154.74715 1.51627 (154*2π)/5293 weeks
1551.02703 1.52237 (155*2π)/5293 weeks
156.75293 1.0298 (156*2π)/5293 weeks
1571.30276 .50189 (157*2π)/5293 weeks
1582.89771 1.37876 (158*2π)/5293 weeks
1591.60093 2.63155 (159*2π)/5293 weeks
160.59564 2.86702 (160*2π)/5293 weeks
161-.71142 1.56408 (161*2π)/5293 weeks
162.00637 -.64707 (162*2π)/5293 weeks
1632.38717 -.15114 (163*2π)/5293 weeks
1642.20229 1.384 (164*2π)/5293 weeks
1651.78038 1.83952 (165*2π)/5293 weeks
166.67063 1.92184 (166*2π)/5293 weeks
167-.29839 1.00863 (167*2π)/5293 weeks
168.36339 -.9882 (168*2π)/5293 weeks
1692.94165 -1.11006 (169*2π)/5293 weeks
1704.07658 1.5712 (170*2π)/5293 weeks
1712.76318 3.0329 (171*2π)/5293 weeks
172.09196 3.54186 (172*2π)/5293 weeks
173-1.26773 .86607 (173*2π)/5293 weeks
174.7511 -1.27015 (174*2π)/5293 weeks
1753.00242 -.30446 (175*2π)/5293 weeks
1763.0533 2.1061 (176*2π)/5293 weeks
1771.30854 3.36847 (177*2π)/5293 weeks
178-.60627 1.79221 (178*2π)/5293 weeks
179-.07158 .55125 (179*2π)/5293 weeks
180.82301 -.69118 (180*2π)/5293 weeks
1812.12404 .71037 (181*2π)/5293 weeks
1821.05763 1.28081 (182*2π)/5293 weeks
183.85744 1.14479 (183*2π)/5293 weeks
184.25394 .36801 (184*2π)/5293 weeks
185.88019 -.31138 (185*2π)/5293 weeks
1861.17028 -1.06495 (186*2π)/5293 weeks
1874.26506 -.65685 (187*2π)/5293 weeks
1883.57175 3.53341 (188*2π)/5293 weeks
189.52898 3.25971 (189*2π)/5293 weeks
190-1.10637 1.88648 (190*2π)/5293 weeks
191-.60415 -.91282 (191*2π)/5293 weeks
1921.63347 -1.1291 (192*2π)/5293 weeks
1932.43662 -.1088 (193*2π)/5293 weeks
1942.61564 2.30208 (194*2π)/5293 weeks
195-.82826 1.70128 (195*2π)/5293 weeks
196-.08631 -.63177 (196*2π)/5293 weeks
197.61787 -1.69068 (197*2π)/5293 weeks
1983.5971 -1.70769 (198*2π)/5293 weeks
1994.71139 1.82274 (199*2π)/5293 weeks
2001.54122 3.6032 (200*2π)/5293 weeks
201-1.20967 1.95767 (201*2π)/5293 weeks
202-.35408 -1.49714 (202*2π)/5293 weeks
2032.52469 -1.08022 (203*2π)/5293 weeks
2043.49448 .61351 (204*2π)/5293 weeks
2052.46586 2.74623 (205*2π)/5293 weeks
206-1.01175 2.33901 (206*2π)/5293 weeks
207-.82092 -.75194 (207*2π)/5293 weeks
2081.41019 -1.82833 (208*2π)/5293 weeks
2093.45409 -.22668 (209*2π)/5293 weeks
2102.4461 1.53872 (210*2π)/5293 weeks
2111.24767 .94846 (211*2π)/5293 weeks
2121.93344 .84383 (212*2π)/5292 weeks
2131.45068 1.66304 (213*2π)/5292 weeks
2141.13799 1.52771 (214*2π)/5292 weeks
215-.02654 1.96831 (215*2π)/5292 weeks
216-1.15759 -.50845 (216*2π)/5292 weeks
2171.34197 -1.40224 (217*2π)/5292 weeks
2182.56712 -.37508 (218*2π)/5292 weeks
2192.09937 1.92313 (219*2π)/5292 weeks
220-.39419 1.3377 (220*2π)/5292 weeks
221-.47382 -.31904 (221*2π)/5292 weeks
222.22791 -1.53097 (222*2π)/5292 weeks
2232.86666 -2.00988 (223*2π)/5292 weeks
2243.93147 1.07953 (224*2π)/5292 weeks
2251.57281 2.72371 (225*2π)/5292 weeks
226-1.41553 1.39108 (226*2π)/5292 weeks
227-.66243 -2.05673 (227*2π)/5292 weeks
2282.17247 -2.31772 (228*2π)/5292 weeks
2293.55358 -.81291 (229*2π)/5292 weeks
2303.57011 2.02973 (230*2π)/5292 weeks
231.37182 1.90815 (231*2π)/5292 weeks
232.05908 .43128 (232*2π)/5292 weeks
233.48218 -.92555 (233*2π)/5292 weeks
2341.74791 -.52196 (234*2π)/5292 weeks
2351.50615 -.2445 (235*2π)/5292 weeks
2362.22342 -.11625 (236*2π)/5292 weeks
2371.37838 1.03792 (237*2π)/5292 weeks
238.57739 -.21955 (238*2π)/5292 weeks
239.67581 -.6725 (239*2π)/5292 weeks
2401.87476 -1.50495 (240*2π)/5292 weeks
2413.75244 -.47655 (241*2π)/5292 weeks
2423.011 2.00373 (242*2π)/5292 weeks
243.77381 2.55966 (243*2π)/5292 weeks
244-1.37713 1.36157 (244*2π)/5292 weeks
245-1.51806 -2.02657 (245*2π)/5292 weeks
2461.26224 -3.72232 (246*2π)/5292 weeks
2474.80871 -1.93156 (247*2π)/5292 weeks
2483.78524 1.92582 (248*2π)/5292 weeks
249.84035 1.9457 (249*2π)/5292 weeks
250-.48598 .36887 (250*2π)/5292 weeks
251.32118 -2.08216 (251*2π)/5292 weeks
2522.83781 -2.09352 (252*2π)/5292 weeks
2533.72065 .68634 (253*2π)/5292 weeks
2541.74612 1.66968 (254*2π)/5292 weeks
255.15196 .68068 (255*2π)/5292 weeks
256.29927 -1.30509 (256*2π)/5292 weeks
2571.46073 -2.45259 (257*2π)/5292 weeks
2584.29939 -1.58719 (258*2π)/5292 weeks
2594.01844 2.42361 (259*2π)/5292 weeks
260.35176 2.22564 (260*2π)/5292 weeks
261-.08281 .02033 (261*2π)/5292 weeks
262.54004 -1.81808 (262*2π)/5292 weeks
2631.98972 -2.13466 (263*2π)/5292 weeks
2644.25378 -1.6283 (264*2π)/5292 weeks
2654.25378 1.6283 (265*2π)/5292 weeks
2661.98972 2.13466 (266*2π)/5292 weeks
267.54004 1.81808 (267*2π)/5292 weeks
268-.08281 -.02033 (268*2π)/5292 weeks
269.35176 -2.22564 (269*2π)/5292 weeks
2704.01844 -2.42361 (270*2π)/5292 weeks
2714.29939 1.58719 (271*2π)/5292 weeks
2721.46073 2.45259 (272*2π)/5292 weeks
273.29927 1.30509 (273*2π)/5292 weeks
274.15196 -.68068 (274*2π)/5292 weeks
2751.74612 -1.66968 (275*2π)/5292 weeks
2763.72065 -.68634 (276*2π)/5292 weeks
2772.83781 2.09352 (277*2π)/5292 weeks
278.32118 2.08216 (278*2π)/5292 weeks
279-.48598 -.36887 (279*2π)/5292 weeks
280.84035 -1.9457 (280*2π)/5292 weeks
2813.78524 -1.92582 (281*2π)/5292 weeks
2824.80871 1.93156 (282*2π)/5292 weeks
2831.26224 3.72232 (283*2π)/5292 weeks
284-1.51806 2.02657 (284*2π)/5292 weeks
285-1.37713 -1.36157 (285*2π)/5292 weeks
286.77381 -2.55966 (286*2π)/5292 weeks
2873.011 -2.00373 (287*2π)/5292 weeks
2883.75244 .47655 (288*2π)/5292 weeks
2891.87476 1.50495 (289*2π)/5292 weeks
290.67581 .6725 (290*2π)/5292 weeks
291.57739 .21955 (291*2π)/5292 weeks
2921.37838 -1.03792 (292*2π)/5292 weeks
2932.22342 .11625 (293*2π)/5292 weeks
2941.50615 .2445 (294*2π)/5292 weeks
2951.74791 .52196 (295*2π)/5292 weeks
296.48218 .92555 (296*2π)/5292 weeks
297.05908 -.43128 (297*2π)/5292 weeks
298.37182 -1.90815 (298*2π)/5292 weeks
2993.57011 -2.02973 (299*2π)/5292 weeks
3003.55358 .81291 (300*2π)/5292 weeks
3012.17247 2.31772 (301*2π)/5292 weeks
302-.66243 2.05673 (302*2π)/5292 weeks
303-1.41553 -1.39108 (303*2π)/5292 weeks
3041.57281 -2.72371 (304*2π)/5292 weeks
3053.93147 -1.07953 (305*2π)/5292 weeks
3062.86666 2.00988 (306*2π)/5292 weeks
307.22791 1.53097 (307*2π)/5292 weeks
308-.47382 .31904 (308*2π)/5292 weeks
309-.39419 -1.3377 (309*2π)/5292 weeks
3102.09937 -1.92313 (310*2π)/5292 weeks
3112.56712 .37508 (311*2π)/5292 weeks
3121.34197 1.40224 (312*2π)/5292 weeks
313-1.15759 .50845 (313*2π)/5292 weeks
314-.02654 -1.96831 (314*2π)/5292 weeks
3151.13799 -1.52771 (315*2π)/5292 weeks
3161.45068 -1.66304 (316*2π)/5292 weeks
3171.93344 -.84383 (317*2π)/5292 weeks
3181.24767 -.94846 (318*2π)/5292 weeks
3192.4461 -1.53872 (319*2π)/5292 weeks
3203.45409 .22668 (320*2π)/5292 weeks
3211.41019 1.82833 (321*2π)/5292 weeks
322-.82092 .75194 (322*2π)/5292 weeks
323-1.01175 -2.33901 (323*2π)/5292 weeks
3242.46586 -2.74623 (324*2π)/5292 weeks
3253.49448 -.61351 (325*2π)/5292 weeks
3262.52469 1.08022 (326*2π)/5292 weeks
327-.35408 1.49714 (327*2π)/5292 weeks
328-1.20967 -1.95767 (328*2π)/5292 weeks
3291.54122 -3.6032 (329*2π)/5292 weeks
3304.71139 -1.82274 (330*2π)/5292 weeks
3313.5971 1.70769 (331*2π)/5292 weeks
332.61787 1.69068 (332*2π)/5292 weeks
333-.08631 .63177 (333*2π)/5292 weeks
334-.82826 -1.70128 (334*2π)/5292 weeks
3352.61564 -2.30208 (335*2π)/5292 weeks
3362.43662 .1088 (336*2π)/5292 weeks
3371.63347 1.1291 (337*2π)/5292 weeks
338-.60415 .91282 (338*2π)/5292 weeks
339-1.10637 -1.88648 (339*2π)/5292 weeks
340.52898 -3.25971 (340*2π)/5292 weeks
3413.57175 -3.53341 (341*2π)/5292 weeks
3424.26506 .65685 (342*2π)/5292 weeks
3431.17028 1.06495 (343*2π)/5292 weeks
344.88019 .31138 (344*2π)/5292 weeks
345.25394 -.36801 (345*2π)/5292 weeks
346.85744 -1.14479 (346*2π)/5292 weeks
3471.05763 -1.28081 (347*2π)/5292 weeks
3482.12404 -.71037 (348*2π)/5292 weeks
349.82301 .69118 (349*2π)/5292 weeks
350-.07158 -.55125 (350*2π)/5292 weeks
351-.60627 -1.79221 (351*2π)/5292 weeks
3521.30854 -3.36847 (352*2π)/5292 weeks
3533.0533 -2.1061 (353*2π)/5291 weeks
3543.00242 .30446 (354*2π)/5291 weeks
355.7511 1.27015 (355*2π)/5291 weeks
356-1.26773 -.86607 (356*2π)/5291 weeks
357.09196 -3.54186 (357*2π)/5291 weeks
3582.76318 -3.0329 (358*2π)/5291 weeks
3594.07658 -1.5712 (359*2π)/5291 weeks
3602.94165 1.11006 (360*2π)/5291 weeks
361.36339 .9882 (361*2π)/5291 weeks
362-.29839 -1.00863 (362*2π)/5291 weeks
363.67063 -1.92184 (363*2π)/5291 weeks
3641.78038 -1.83952 (364*2π)/5291 weeks
3652.20229 -1.384 (365*2π)/5291 weeks
3662.38717 .15114 (366*2π)/5291 weeks
367.00637 .64707 (367*2π)/5291 weeks
368-.71142 -1.56408 (368*2π)/5291 weeks
369.59564 -2.86702 (369*2π)/5291 weeks
3701.60093 -2.63155 (370*2π)/5291 weeks
3712.89771 -1.37876 (371*2π)/5291 weeks
3721.30276 -.50189 (372*2π)/5291 weeks
373.75293 -1.0298 (373*2π)/5291 weeks
3741.02703 -1.52237 (374*2π)/5291 weeks
375.74715 -1.51627 (375*2π)/5291 weeks
3761.3224 -2.9418 (376*2π)/5291 weeks
3772.75531 -1.23546 (377*2π)/5291 weeks
3781.18835 -1.0513 (378*2π)/5291 weeks
3791.12756 -1.57048 (379*2π)/5291 weeks
3801.12993 -1.7239 (380*2π)/5291 weeks
3811.65689 -2.28052 (381*2π)/5291 weeks
3821.90391 -1.8607 (382*2π)/5291 weeks
3833.17279 -1.68909 (383*2π)/5291 weeks
3841.51751 .45617 (384*2π)/5291 weeks
385.41129 -1.61636 (385*2π)/5291 weeks
3861.29896 -1.79534 (386*2π)/5291 weeks
3872.19074 -2.28637 (387*2π)/5291 weeks
3882.24988 -.92054 (388*2π)/5291 weeks
3891.19085 -.56926 (389*2π)/5291 weeks
390.40171 -1.29201 (390*2π)/5291 weeks
3911.21891 -2.56319 (391*2π)/5291 weeks
3922.85916 -1.20999 (392*2π)/5291 weeks
393.60126 -.47286 (393*2π)/5291 weeks
394.78452 -2.04598 (394*2π)/5291 weeks
3951.06465 -2.74442 (395*2π)/5291 weeks
3962.34978 -2.10619 (396*2π)/5291 weeks
397.58145 -1.39365 (397*2π)/5291 weeks
398.86405 -3.67912 (398*2π)/5291 weeks
3992.94595 -2.95102 (399*2π)/5291 weeks
4003.92218 -2.20844 (400*2π)/5291 weeks
4013.43908 .18579 (401*2π)/5291 weeks
402.80428 .0603 (402*2π)/5291 weeks
403.47164 -2.13085 (403*2π)/5291 weeks
4041.98185 -2.00175 (404*2π)/5291 weeks
4051.66044 -1.08344 (405*2π)/5291 weeks
4061.01197 -1.9023 (406*2π)/5291 weeks
4071.0299 -1.25186 (407*2π)/5291 weeks
408.11694 -2.15778 (408*2π)/5291 weeks
409.84172 -3.83766 (409*2π)/5291 weeks
4104.09665 -4.5332 (410*2π)/5291 weeks
4114.77496 -.50949 (411*2π)/5291 weeks
4121.5171 .95088 (412*2π)/5291 weeks
413-.01163 -1.48367 (413*2π)/5291 weeks
414.03578 -3.17959 (414*2π)/5291 weeks
4153.00175 -3.94155 (415*2π)/5291 weeks
4164.55117 -1.45806 (416*2π)/5291 weeks
4173.01891 1.67882 (417*2π)/5291 weeks
418-1.461 1.37203 (418*2π)/5291 weeks
419-2.95101 -3.99029 (419*2π)/5291 weeks
4201.42841 -6.51179 (420*2π)/5291 weeks
4215.09742 -5.07917 (421*2π)/5291 weeks
4226.52279 -.21789 (422*2π)/5291 weeks
4231.44941 3.30967 (423*2π)/5291 weeks
424-3.22911 -.17873 (424*2π)/5291 weeks
425-1.95105 -5.96271 (425*2π)/5291 weeks
4263.47073 -7.2728 (426*2π)/5291 weeks
4277.64511 -3.97722 (427*2π)/5291 weeks
4285.28297 2.51819 (428*2π)/5291 weeks
429.18744 2.17611 (429*2π)/5291 weeks
430-2.43167 -2.14434 (430*2π)/5291 weeks
431.6793 -5.68093 (431*2π)/5291 weeks
4324.91026 -4.3779 (432*2π)/5291 weeks
4335.63775 -.23416 (433*2π)/5291 weeks
4342.18431 2.0512 (434*2π)/5291 weeks
435-.8645 -.27698 (435*2π)/5291 weeks
436-.02964 -2.40122 (436*2π)/5291 weeks
4371.23299 -3.07775 (437*2π)/5291 weeks
4381.21581 -1.58515 (438*2π)/5291 weeks
439.42568 -3.74665 (439*2π)/5291 weeks
4403.58882 -3.51259 (440*2π)/5291 weeks
4413.15679 -.13518 (441*2π)/5291 weeks
442-.46989 .21961 (442*2π)/5291 weeks
443-2.29907 -3.13693 (443*2π)/5291 weeks
444.60298 -6.29906 (444*2π)/5291 weeks
4455.15498 -5.10462 (445*2π)/5291 weeks
4465.85336 .00228 (446*2π)/5291 weeks
447.49994 2.79156 (447*2π)/5291 weeks
448-3.51919 -2.11092 (448*2π)/5291 weeks
449-1.14488 -5.74871 (449*2π)/5291 weeks
4501.97317 -7.7135 (450*2π)/5291 weeks
4516.61552 -4.29709 (451*2π)/5291 weeks
4525.2708 .32185 (452*2π)/5291 weeks
453.33683 2.3628 (453*2π)/5291 weeks
454-2.84829 -3.34831 (454*2π)/5291 weeks
4551.78601 -5.31846 (455*2π)/5291 weeks
4562.25008 -4.32425 (456*2π)/5291 weeks
4575.68619 -2.19537 (457*2π)/5291 weeks
4582.15871 3.42207 (458*2π)/5291 weeks
459-4.44393 -.11153 (459*2π)/5291 weeks
460-3.42486 -6.99049 (460*2π)/5291 weeks
4612.65251 -7.84062 (461*2π)/5291 weeks
4624.74491 -1.96432 (462*2π)/5291 weeks
463-1.01451 -1.75155 (463*2π)/5291 weeks
464-.79371 -5.04031 (464*2π)/5291 weeks
465.81603 -8.21373 (465*2π)/5291 weeks
4666.398 -5.85265 (466*2π)/5291 weeks
4675.83997 -.17222 (467*2π)/5291 weeks
468.51646 .54424 (468*2π)/5291 weeks
469-2.0779 -2.54791 (469*2π)/5291 weeks
470.73734 -6.10702 (470*2π)/5291 weeks
4713.24342 -3.6505 (471*2π)/5291 weeks
4721.2203 -1.81592 (472*2π)/5291 weeks
473-1.12583 -3.89255 (473*2π)/5291 weeks
474-.36708 -6.8932 (474*2π)/5291 weeks
4755.65869 -7.38454 (475*2π)/5291 weeks
4764.01536 -.6582 (476*2π)/5291 weeks
477-.10498 -2.39334 (477*2π)/5291 weeks
478.44217 -4.56603 (478*2π)/5291 weeks
4791.21223 -5.73174 (479*2π)/5291 weeks
4804.4565 -3.5197 (480*2π)/5291 weeks
4811.51087 .20485 (481*2π)/5291 weeks
482-2.77382 -.43682 (482*2π)/5291 weeks
483-3.81395 -4.34821 (483*2π)/5291 weeks
484-3.16513 -9.90357 (484*2π)/5291 weeks
4852.67867 -7.88997 (485*2π)/5291 weeks
486.63081 -5.91925 (486*2π)/5291 weeks
487.56842 -5.30295 (487*2π)/5291 weeks
488-1.04679 -9.24168 (488*2π)/5291 weeks
4895.22737 -9.41643 (489*2π)/5291 weeks
4903.14844 -1.28114 (490*2π)/5291 weeks
491-2.72453 -4.81029 (491*2π)/5291 weeks
492-1.94447 -8.81082 (492*2π)/5291 weeks
493.40485 -12.47016 (493*2π)/5291 weeks
4948.47601 -11.1995 (494*2π)/5291 weeks
4959.99111 -1.78652 (495*2π)/5291 weeks
496-.6082 6.64084 (496*2π)/5291 weeks
497-14.95926 -5.18389 (497*2π)/5291 weeks
498-7.76312 -19.90732 (498*2π)/5291 weeks
4995.9441 -20.70681 (499*2π)/5291 weeks
50013.95146 -9.34015 (500*2π)/5291 weeks
5016.95393 2.37333 (501*2π)/5291 weeks
502-3.55583 -1.03932 (502*2π)/5291 weeks
503-9.54034 -5.59147 (503*2π)/5291 weeks
504-6.66469 -19.45352 (504*2π)/5291 weeks
505.99041 -17.96199 (505*2π)/5291 weeks
5064.76025 -16.27337 (506*2π)/5291 weeks
507-.15264 -10.69931 (507*2π)/5291 weeks
5081.61605 -16.51019 (508*2π)/5291 weeks
5091.96451 -15.80708 (509*2π)/5291 weeks
5104.05855 -18.7853 (510*2π)/5291 weeks
5118.68319 -19.97447 (511*2π)/5291 weeks
51215.37015 -11.00127 (512*2π)/5291 weeks
5135.14365 -3.29042 (513*2π)/5291 weeks
514-4.66429 -1.34535 (514*2π)/5291 weeks
515-18.62798 -12.15902 (515*2π)/5291 weeks
516-20.30828 -35.45557 (516*2π)/5291 weeks
5174.18884 -55.67962 (517*2π)/5291 weeks
51835.23098 -37.3456 (518*2π)/5291 weeks
51927.58788 -9.56468 (519*2π)/5291 weeks
5207.22335 2.69904 (520*2π)/5291 weeks
521-34.24367 -15.76196 (521*2π)/5291 weeks
522-15.86442 -80.59063 (522*2π)/5291 weeks
52345.95283 -74.28032 (523*2π)/5291 weeks
52465.97163 -19.06172 (524*2π)/5291 weeks
525-3.70378 22.11224 (525*2π)/5291 weeks
526-79.14223 -45.5783 (526*2π)/5291 weeks
527-52.64385 -204.9529 (527*2π)/5291 weeks

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