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Fourier Analysis of REW (PROSHARES ULTRASHORT TECHNOLOGY PROSHARES ULTRASHORT TECHNOLOGY)


REW (PROSHARES ULTRASHORT TECHNOLOGY PROSHARES ULTRASHORT TECHNOLOGY) appears to have interesting cyclic behaviour every 44 weeks (51.8188*sine), 48 weeks (37.3652*sine), and 48 weeks (31.6236*cosine).

REW (PROSHARES ULTRASHORT TECHNOLOGY PROSHARES ULTRASHORT TECHNOLOGY) has an average price of 303.39 (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 1/16/2018 for REW (PROSHARES ULTRASHORT TECHNOLOGY PROSHARES ULTRASHORT TECHNOLOGY), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0303.391   0 
1162.5643 321.2928 (1*2π)/573573 weeks
2-31.16892 212.6181 (2*2π)/573287 weeks
3-83.43954 73.45363 (3*2π)/573191 weeks
4-28.87049 -7.04655 (4*2π)/573143 weeks
547.91083 -5.85567 (5*2π)/573115 weeks
658.18445 49.73855 (6*2π)/57396 weeks
719.90484 79.91573 (7*2π)/57382 weeks
8-33.02472 54.61231 (8*2π)/57372 weeks
9-20.15354 2.54904 (9*2π)/57364 weeks
1012.35441 .26379 (10*2π)/57357 weeks
1127.89541 11.61901 (11*2π)/57352 weeks
1231.62361 37.36516 (12*2π)/57348 weeks
133.91107 51.81878 (13*2π)/57344 weeks
14-18.13779 35.04753 (14*2π)/57341 weeks
15-18.73426 14.34896 (15*2π)/57338 weeks
16-7.92177 2.64736 (16*2π)/57336 weeks
173.09597 3.2754 (17*2π)/57334 weeks
1811.97671 5.23712 (18*2π)/57332 weeks
1912.1204 16.86089 (19*2π)/57330 weeks
205.39228 18.21406 (20*2π)/57329 weeks
212.32679 17.00979 (21*2π)/57327 weeks
222.36143 14.5126 (22*2π)/57326 weeks
23.60205 15.20071 (23*2π)/57325 weeks
241.63195 9.26516 (24*2π)/57324 weeks
254.03132 15.56245 (25*2π)/57323 weeks
26.91213 16.86867 (26*2π)/57322 weeks
27-5.20699 18.34872 (27*2π)/57321 weeks
28-9.98782 6.54072 (28*2π)/57320 weeks
29-4.25725 1.6641 (29*2π)/57320 weeks
302.09021 -2.53583 (30*2π)/57319 weeks
3112.03273 4.38705 (31*2π)/57318 weeks
3210.67549 16.13654 (32*2π)/57318 weeks
33.06727 20.4381 (33*2π)/57317 weeks
34-11.18489 14.23871 (34*2π)/57317 weeks
35-11.79353 -1.08509 (35*2π)/57316 weeks
363.02988 -5.24354 (36*2π)/57316 weeks
379.60411 3.33897 (37*2π)/57315 weeks
387.33135 11.12751 (38*2π)/57315 weeks
39.30095 11.66693 (39*2π)/57315 weeks
40-1.78991 8.36132 (40*2π)/57314 weeks
41-2.65675 5.14778 (41*2π)/57314 weeks
421.03113 1.14851 (42*2π)/57314 weeks
436.29991 6.53436 (43*2π)/57313 weeks
441.02222 9.77853 (44*2π)/57313 weeks
45-1.25729 5.69048 (45*2π)/57313 weeks
46.9072 5.85368 (46*2π)/57312 weeks
471.42173 5.14327 (47*2π)/57312 weeks
481.60899 8.74406 (48*2π)/57312 weeks
49-4.18724 7.79691 (49*2π)/57312 weeks
50-3.43876 3.97258 (50*2π)/57311 weeks
51-2.13737 .32891 (51*2π)/57311 weeks
521.39035 -.07148 (52*2π)/57311 weeks
534.10455 3.01883 (53*2π)/57311 weeks
541.65756 5.56963 (54*2π)/57311 weeks
55.75076 4.30511 (55*2π)/57310 weeks
56-.07119 3.02207 (56*2π)/57310 weeks
571.74937 .53685 (57*2π)/57310 weeks
586.12922 3.34799 (58*2π)/57310 weeks
591.8503 8.01196 (59*2π)/57310 weeks
60-.89258 5.26781 (60*2π)/57310 weeks
61-.82084 2.71665 (61*2π)/5739 weeks
621.75205 1.93355 (62*2π)/5739 weeks
633.06425 3.98662 (63*2π)/5739 weeks
64.40871 5.7088 (64*2π)/5739 weeks
65-1.86678 2.44163 (65*2π)/5739 weeks
66.24454 -.2143 (66*2π)/5739 weeks
674.68925 -.33 (67*2π)/5739 weeks
686.26628 4.3861 (68*2π)/5738 weeks
692.75044 8.05304 (69*2π)/5738 weeks
70-.43045 5.40112 (70*2π)/5738 weeks
71-1.08497 3.53286 (71*2π)/5738 weeks
721.37672 .32956 (72*2π)/5738 weeks
734.77148 4.52435 (73*2π)/5738 weeks
74.67448 7.6745 (74*2π)/5738 weeks
75-4.20256 5.07301 (75*2π)/5738 weeks
76-3.47667 -.84601 (76*2π)/5738 weeks
772.7959 -2.85975 (77*2π)/5737 weeks
785.31685 2.20059 (78*2π)/5737 weeks
792.17583 4.23478 (79*2π)/5737 weeks
801.95163 4.61669 (80*2π)/5737 weeks
81-1.93385 4.24937 (81*2π)/5737 weeks
82-1.39227 -1.32303 (82*2π)/5737 weeks
833.84651 -1.40548 (83*2π)/5737 weeks
846.12993 1.837 (84*2π)/5737 weeks
854.79881 6.42445 (85*2π)/5737 weeks
86.16534 6.4222 (86*2π)/5737 weeks
87-1.97506 4.71664 (87*2π)/5737 weeks
88-3.15461 .49926 (88*2π)/5737 weeks
891.5671 -2.58758 (89*2π)/5736 weeks
905.69736 .55037 (90*2π)/5736 weeks
914.80269 4.89478 (91*2π)/5736 weeks
92.79372 6.03964 (92*2π)/5736 weeks
93-2.04169 3.64626 (93*2π)/5736 weeks
94-.97528 .32934 (94*2π)/5736 weeks
952.18167 -.47019 (95*2π)/5736 weeks
963.87113 1.98281 (96*2π)/5736 weeks
971.78138 4.0628 (97*2π)/5736 weeks
98.14845 2.20076 (98*2π)/5736 weeks
991.67423 2.05926 (99*2π)/5736 weeks
100.53497 2.81259 (100*2π)/5736 weeks
101-.31987 1.99879 (101*2π)/5736 weeks
102-.60808 -.29608 (102*2π)/5736 weeks
1032.45764 -1.84298 (103*2π)/5736 weeks
1045.30217 .34139 (104*2π)/5736 weeks
1054.70265 3.961 (105*2π)/5735 weeks
1061.19813 5.51152 (106*2π)/5735 weeks
107-1.95571 3.09004 (107*2π)/5735 weeks
108-.94992 -1.31743 (108*2π)/5735 weeks
1092.87883 -2.70317 (109*2π)/5735 weeks
1107.47306 .55586 (110*2π)/5735 weeks
1115.31189 5.67125 (111*2π)/5735 weeks
1121.10947 7.14526 (112*2π)/5735 weeks
113-2.87415 4.19872 (113*2π)/5735 weeks
114-2.25824 -.9785 (114*2π)/5735 weeks
1152.42723 -3.07867 (115*2π)/5735 weeks
1166.20537 .68294 (116*2π)/5735 weeks
1174.75924 4.78297 (117*2π)/5735 weeks
1181.62433 6.09222 (118*2π)/5735 weeks
119-2.34843 4.45391 (119*2π)/5735 weeks
120-2.25167 -.49016 (120*2π)/5735 weeks
1211.57146 -1.95434 (121*2π)/5735 weeks
1224.12647 .30186 (122*2π)/5735 weeks
1233.83825 2.88709 (123*2π)/5735 weeks
1241.51098 4.00889 (124*2π)/5735 weeks
125.0805 2.05999 (125*2π)/5735 weeks
126-.13915 .66254 (126*2π)/5735 weeks
1272.19833 -.95707 (127*2π)/5735 weeks
1284.65112 .99218 (128*2π)/5734 weeks
1293.45256 4.38917 (129*2π)/5734 weeks
130.8364 3.56724 (130*2π)/5734 weeks
131.11099 2.20125 (131*2π)/5734 weeks
132.7638 1.32053 (132*2π)/5734 weeks
1331.17944 1.86468 (133*2π)/5734 weeks
1341.18473 .94158 (134*2π)/5734 weeks
1351.94453 1.43892 (135*2π)/5734 weeks
1361.3177 2.23548 (136*2π)/5734 weeks
137.19809 .92258 (137*2π)/5734 weeks
1381.53674 -.48763 (138*2π)/5734 weeks
1393.59131 .61457 (139*2π)/5734 weeks
1403.25608 2.46645 (140*2π)/5734 weeks
1412.70111 2.95215 (141*2π)/5734 weeks
142.64921 3.1945 (142*2π)/5734 weeks
143.62129 1.26847 (143*2π)/5734 weeks
1442.22012 1.87043 (144*2π)/5734 weeks
1451.16186 2.62253 (145*2π)/5734 weeks
146.71455 1.85245 (146*2π)/5734 weeks
147.12263 .98886 (147*2π)/5734 weeks
1481.98503 .30179 (148*2π)/5734 weeks
1491.96491 2.43632 (149*2π)/5734 weeks
150.5939 2.06971 (150*2π)/5734 weeks
151.75594 .89473 (151*2π)/5734 weeks
1521.50995 .50622 (152*2π)/5734 weeks
1532.21543 1.07346 (153*2π)/5734 weeks
1541.69756 2.21301 (154*2π)/5734 weeks
1551.24411 1.65366 (155*2π)/5734 weeks
156.42084 1.45074 (156*2π)/5734 weeks
1571.30915 -.36109 (157*2π)/5734 weeks
1583.10312 1.26938 (158*2π)/5734 weeks
1591.76154 1.8966 (159*2π)/5734 weeks
1601.74659 2.02346 (160*2π)/5734 weeks
1611.06071 1.81662 (161*2π)/5734 weeks
1621.21622 1.46365 (162*2π)/5734 weeks
1631.14785 1.19118 (163*2π)/5734 weeks
1641.54373 .61171 (164*2π)/5733 weeks
1652.57184 2.01085 (165*2π)/5733 weeks
166.67824 2.47529 (166*2π)/5733 weeks
167.76266 1.31855 (167*2π)/5733 weeks
168.92413 1.34517 (168*2π)/5733 weeks
169.76184 .88031 (169*2π)/5733 weeks
1701.24402 .52268 (170*2π)/5733 weeks
1712.66747 1.03601 (171*2π)/5733 weeks
1721.74646 2.51709 (172*2π)/5733 weeks
173.95384 2.5626 (173*2π)/5733 weeks
174-.41969 1.92266 (174*2π)/5733 weeks
175-.65717 .17456 (175*2π)/5733 weeks
1761.30708 -.86687 (176*2π)/5733 weeks
1772.45129 .63421 (177*2π)/5733 weeks
1781.84224 1.45197 (178*2π)/5733 weeks
1791.38311 1.91165 (179*2π)/5733 weeks
180.42849 1.66104 (180*2π)/5733 weeks
181-.32581 .66543 (181*2π)/5733 weeks
182.44703 -1.0258 (182*2π)/5733 weeks
1832.689 -1.1093 (183*2π)/5733 weeks
1843.9191 1.11293 (184*2π)/5733 weeks
1852.70391 2.58656 (185*2π)/5733 weeks
186.8237 3.54869 (186*2π)/5733 weeks
187-1.14254 1.81028 (187*2π)/5733 weeks
188-.44032 -.67888 (188*2π)/5733 weeks
1891.9603 -.93976 (189*2π)/5733 weeks
1903.32582 .68389 (190*2π)/5733 weeks
1912.49651 2.44111 (191*2π)/5733 weeks
192.50813 3.08736 (192*2π)/5733 weeks
193-.57723 1.31043 (193*2π)/5733 weeks
194-.06698 .4075 (194*2π)/5733 weeks
195.87082 -.70806 (195*2π)/5733 weeks
1962.06954 .55057 (196*2π)/5733 weeks
1971.18107 1.28023 (197*2π)/5733 weeks
198.94564 1.05344 (198*2π)/5733 weeks
199.23176 .68967 (199*2π)/5733 weeks
200.52626 -.19912 (200*2π)/5733 weeks
201.91046 -.45399 (201*2π)/5733 weeks
2022.39605 -1.56675 (202*2π)/5733 weeks
2034.62268 .96812 (203*2π)/5733 weeks
2042.08094 3.61266 (204*2π)/5733 weeks
205.07688 2.86883 (205*2π)/5733 weeks
206-1.27972 1.3904 (206*2π)/5733 weeks
207-.35688 -.98009 (207*2π)/5733 weeks
2081.58114 -1.07556 (208*2π)/5733 weeks
2092.29228 -.18034 (209*2π)/5733 weeks
2102.78085 1.78205 (210*2π)/5733 weeks
211-.27329 2.26394 (211*2π)/5733 weeks
212-.44727 -.21754 (212*2π)/5733 weeks
213.24278 -.94736 (213*2π)/5733 weeks
2142.05855 -2.14573 (214*2π)/5733 weeks
2154.3839 -.37165 (215*2π)/5733 weeks
2163.40787 2.89914 (216*2π)/5733 weeks
217.59523 3.179 (217*2π)/5733 weeks
218-1.32639 1.02003 (218*2π)/5733 weeks
219.23152 -1.59397 (219*2π)/5733 weeks
2202.39299 -.84602 (220*2π)/5733 weeks
2213.22824 .58201 (221*2π)/5733 weeks
2222.43764 2.40348 (222*2π)/5733 weeks
223-.50405 2.56321 (223*2π)/5733 weeks
224-.91155 -.16712 (224*2π)/5733 weeks
225.71204 -1.53754 (225*2π)/5733 weeks
2262.75969 -1.04193 (226*2π)/5733 weeks
2272.80642 .95817 (227*2π)/5733 weeks
2281.53331 1.3915 (228*2π)/5733 weeks
2291.5161 .55851 (229*2π)/5733 weeks
2301.95898 1.10105 (230*2π)/5732 weeks
2311.17448 1.53136 (231*2π)/5732 weeks
232.9866 1.59291 (232*2π)/5732 weeks
233-.28333 1.78031 (233*2π)/5732 weeks
234-1.03081 -.59467 (234*2π)/5732 weeks
2351.20004 -1.38951 (235*2π)/5732 weeks
2362.3053 -.52177 (236*2π)/5732 weeks
2372.40573 1.46484 (237*2π)/5732 weeks
238.12082 1.85348 (238*2π)/5732 weeks
239-.46663 .23975 (239*2π)/5732 weeks
240-.06449 -.95667 (240*2π)/5732 weeks
2411.12497 -2.18918 (241*2π)/5732 weeks
2423.54447 -.96415 (242*2π)/5732 weeks
2433.02917 1.83707 (243*2π)/5732 weeks
244.77969 2.64714 (244*2π)/5732 weeks
245-1.52129 .7306 (245*2π)/5732 weeks
246-.34941 -2.02433 (246*2π)/5732 weeks
2472.03614 -2.08705 (247*2π)/5732 weeks
2483.24761 -.8465 (248*2π)/5732 weeks
2493.61392 1.45583 (249*2π)/5732 weeks
250.7758 2.15259 (250*2π)/5732 weeks
251.1305 .71147 (251*2π)/5732 weeks
252.0649 -.31707 (252*2π)/5732 weeks
2531.27833 -.83129 (253*2π)/5732 weeks
2541.47306 -.19586 (254*2π)/5732 weeks
2551.53729 -.43308 (255*2π)/5732 weeks
2562.133 .36725 (256*2π)/5732 weeks
257.89843 .90906 (257*2π)/5732 weeks
258.74252 -.21832 (258*2π)/5732 weeks
259.63583 -.70736 (259*2π)/5732 weeks
2601.73213 -1.38276 (260*2π)/5732 weeks
2613.39512 -.58011 (261*2π)/5732 weeks
2623.02246 1.62663 (262*2π)/5732 weeks
2631.20261 2.41369 (263*2π)/5732 weeks
264-.6889 1.79924 (264*2π)/5732 weeks
265-1.87221 -.6733 (265*2π)/5732 weeks
266-.12639 -2.94511 (266*2π)/5732 weeks
2672.91542 -3.22238 (267*2π)/5732 weeks
2684.68776 -.06326 (268*2π)/5732 weeks
2692.52085 2.18566 (269*2π)/5732 weeks
270.46359 1.4816 (270*2π)/5732 weeks
271-.52105 -.03109 (271*2π)/5732 weeks
272.54568 -2.01147 (272*2π)/5732 weeks
2732.66291 -1.8808 (273*2π)/5732 weeks
2743.48476 .50339 (274*2π)/5732 weeks
2751.86355 1.4796 (275*2π)/5732 weeks
276.37989 .86573 (276*2π)/5732 weeks
277-.03034 -.75435 (277*2π)/5732 weeks
278.83056 -1.66683 (278*2π)/5732 weeks
2792.98959 -2.18919 (279*2π)/5732 weeks
2804.69402 .21326 (280*2π)/5732 weeks
2812.08238 2.66935 (281*2π)/5732 weeks
282-.20463 1.12786 (282*2π)/5732 weeks
283-.12442 -.28682 (283*2π)/5732 weeks
284.90218 -1.75161 (284*2π)/5732 weeks
2852.02192 -1.98832 (285*2π)/5732 weeks
2864.00148 -1.40502 (286*2π)/5732 weeks
2874.00148 1.40502 (287*2π)/5732 weeks
2882.02192 1.98832 (288*2π)/5732 weeks
289.90218 1.75161 (289*2π)/5732 weeks
290-.12442 .28682 (290*2π)/5732 weeks
291-.20463 -1.12786 (291*2π)/5732 weeks
2922.08238 -2.66935 (292*2π)/5732 weeks
2934.69402 -.21326 (293*2π)/5732 weeks
2942.98959 2.18919 (294*2π)/5732 weeks
295.83056 1.66683 (295*2π)/5732 weeks
296-.03034 .75435 (296*2π)/5732 weeks
297.37989 -.86573 (297*2π)/5732 weeks
2981.86355 -1.4796 (298*2π)/5732 weeks
2993.48476 -.50339 (299*2π)/5732 weeks
3002.66291 1.8808 (300*2π)/5732 weeks
301.54568 2.01147 (301*2π)/5732 weeks
302-.52105 .03109 (302*2π)/5732 weeks
303.46359 -1.4816 (303*2π)/5732 weeks
3042.52085 -2.18566 (304*2π)/5732 weeks
3054.68776 .06326 (305*2π)/5732 weeks
3062.91542 3.22238 (306*2π)/5732 weeks
307-.12639 2.94511 (307*2π)/5732 weeks
308-1.87221 .6733 (308*2π)/5732 weeks
309-.6889 -1.79924 (309*2π)/5732 weeks
3101.20261 -2.41369 (310*2π)/5732 weeks
3113.02246 -1.62663 (311*2π)/5732 weeks
3123.39512 .58011 (312*2π)/5732 weeks
3131.73213 1.38276 (313*2π)/5732 weeks
314.63583 .70736 (314*2π)/5732 weeks
315.74252 .21832 (315*2π)/5732 weeks
316.89843 -.90906 (316*2π)/5732 weeks
3172.133 -.36725 (317*2π)/5732 weeks
3181.53729 .43308 (318*2π)/5732 weeks
3191.47306 .19586 (319*2π)/5732 weeks
3201.27833 .83129 (320*2π)/5732 weeks
321.0649 .31707 (321*2π)/5732 weeks
322.1305 -.71147 (322*2π)/5732 weeks
323.7758 -2.15259 (323*2π)/5732 weeks
3243.61392 -1.45583 (324*2π)/5732 weeks
3253.24761 .8465 (325*2π)/5732 weeks
3262.03614 2.08705 (326*2π)/5732 weeks
327-.34941 2.02433 (327*2π)/5732 weeks
328-1.52129 -.7306 (328*2π)/5732 weeks
329.77969 -2.64714 (329*2π)/5732 weeks
3303.02917 -1.83707 (330*2π)/5732 weeks
3313.54447 .96415 (331*2π)/5732 weeks
3321.12497 2.18918 (332*2π)/5732 weeks
333-.06449 .95667 (333*2π)/5732 weeks
334-.46663 -.23975 (334*2π)/5732 weeks
335.12082 -1.85348 (335*2π)/5732 weeks
3362.40573 -1.46484 (336*2π)/5732 weeks
3372.3053 .52177 (337*2π)/5732 weeks
3381.20004 1.38951 (338*2π)/5732 weeks
339-1.03081 .59467 (339*2π)/5732 weeks
340-.28333 -1.78031 (340*2π)/5732 weeks
341.9866 -1.59291 (341*2π)/5732 weeks
3421.17448 -1.53136 (342*2π)/5732 weeks
3431.95898 -1.10105 (343*2π)/5732 weeks
3441.5161 -.55851 (344*2π)/5732 weeks
3451.53331 -1.3915 (345*2π)/5732 weeks
3462.80642 -.95817 (346*2π)/5732 weeks
3472.75969 1.04193 (347*2π)/5732 weeks
348.71204 1.53754 (348*2π)/5732 weeks
349-.91155 .16712 (349*2π)/5732 weeks
350-.50405 -2.56321 (350*2π)/5732 weeks
3512.43764 -2.40348 (351*2π)/5732 weeks
3523.22824 -.58201 (352*2π)/5732 weeks
3532.39299 .84602 (353*2π)/5732 weeks
354.23152 1.59397 (354*2π)/5732 weeks
355-1.32639 -1.02003 (355*2π)/5732 weeks
356.59523 -3.179 (356*2π)/5732 weeks
3573.40787 -2.89914 (357*2π)/5732 weeks
3584.3839 .37165 (358*2π)/5732 weeks
3592.05855 2.14573 (359*2π)/5732 weeks
360.24278 .94736 (360*2π)/5732 weeks
361-.44727 .21754 (361*2π)/5732 weeks
362-.27329 -2.26394 (362*2π)/5732 weeks
3632.78085 -1.78205 (363*2π)/5732 weeks
3642.29228 .18034 (364*2π)/5732 weeks
3651.58114 1.07556 (365*2π)/5732 weeks
366-.35688 .98009 (366*2π)/5732 weeks
367-1.27972 -1.3904 (367*2π)/5732 weeks
368.07688 -2.86883 (368*2π)/5732 weeks
3692.08094 -3.61266 (369*2π)/5732 weeks
3704.62268 -.96812 (370*2π)/5732 weeks
3712.39605 1.56675 (371*2π)/5732 weeks
372.91046 .45399 (372*2π)/5732 weeks
373.52626 .19912 (373*2π)/5732 weeks
374.23176 -.68967 (374*2π)/5732 weeks
375.94564 -1.05344 (375*2π)/5732 weeks
3761.18107 -1.28023 (376*2π)/5732 weeks
3772.06954 -.55057 (377*2π)/5732 weeks
378.87082 .70806 (378*2π)/5732 weeks
379-.06698 -.4075 (379*2π)/5732 weeks
380-.57723 -1.31043 (380*2π)/5732 weeks
381.50813 -3.08736 (381*2π)/5732 weeks
3822.49651 -2.44111 (382*2π)/5732 weeks
3833.32582 -.68389 (383*2π)/5731 weeks
3841.9603 .93976 (384*2π)/5731 weeks
385-.44032 .67888 (385*2π)/5731 weeks
386-1.14254 -1.81028 (386*2π)/5731 weeks
387.8237 -3.54869 (387*2π)/5731 weeks
3882.70391 -2.58656 (388*2π)/5731 weeks
3893.9191 -1.11293 (389*2π)/5731 weeks
3902.689 1.1093 (390*2π)/5731 weeks
391.44703 1.0258 (391*2π)/5731 weeks
392-.32581 -.66543 (392*2π)/5731 weeks
393.42849 -1.66104 (393*2π)/5731 weeks
3941.38311 -1.91165 (394*2π)/5731 weeks
3951.84224 -1.45197 (395*2π)/5731 weeks
3962.45129 -.63421 (396*2π)/5731 weeks
3971.30708 .86687 (397*2π)/5731 weeks
398-.65717 -.17456 (398*2π)/5731 weeks
399-.41969 -1.92266 (399*2π)/5731 weeks
400.95384 -2.5626 (400*2π)/5731 weeks
4011.74646 -2.51709 (401*2π)/5731 weeks
4022.66747 -1.03601 (402*2π)/5731 weeks
4031.24402 -.52268 (403*2π)/5731 weeks
404.76184 -.88031 (404*2π)/5731 weeks
405.92413 -1.34517 (405*2π)/5731 weeks
406.76266 -1.31855 (406*2π)/5731 weeks
407.67824 -2.47529 (407*2π)/5731 weeks
4082.57184 -2.01085 (408*2π)/5731 weeks
4091.54373 -.61171 (409*2π)/5731 weeks
4101.14785 -1.19118 (410*2π)/5731 weeks
4111.21622 -1.46365 (411*2π)/5731 weeks
4121.06071 -1.81662 (412*2π)/5731 weeks
4131.74659 -2.02346 (413*2π)/5731 weeks
4141.76154 -1.8966 (414*2π)/5731 weeks
4153.10312 -1.26938 (415*2π)/5731 weeks
4161.30915 .36109 (416*2π)/5731 weeks
417.42084 -1.45074 (417*2π)/5731 weeks
4181.24411 -1.65366 (418*2π)/5731 weeks
4191.69756 -2.21301 (419*2π)/5731 weeks
4202.21543 -1.07346 (420*2π)/5731 weeks
4211.50995 -.50622 (421*2π)/5731 weeks
422.75594 -.89473 (422*2π)/5731 weeks
423.5939 -2.06971 (423*2π)/5731 weeks
4241.96491 -2.43632 (424*2π)/5731 weeks
4251.98503 -.30179 (425*2π)/5731 weeks
426.12263 -.98886 (426*2π)/5731 weeks
427.71455 -1.85245 (427*2π)/5731 weeks
4281.16186 -2.62253 (428*2π)/5731 weeks
4292.22012 -1.87043 (429*2π)/5731 weeks
430.62129 -1.26847 (430*2π)/5731 weeks
431.64921 -3.1945 (431*2π)/5731 weeks
4322.70111 -2.95215 (432*2π)/5731 weeks
4333.25608 -2.46645 (433*2π)/5731 weeks
4343.59131 -.61457 (434*2π)/5731 weeks
4351.53674 .48763 (435*2π)/5731 weeks
436.19809 -.92258 (436*2π)/5731 weeks
4371.3177 -2.23548 (437*2π)/5731 weeks
4381.94453 -1.43892 (438*2π)/5731 weeks
4391.18473 -.94158 (439*2π)/5731 weeks
4401.17944 -1.86468 (440*2π)/5731 weeks
441.7638 -1.32053 (441*2π)/5731 weeks
442.11099 -2.20125 (442*2π)/5731 weeks
443.8364 -3.56724 (443*2π)/5731 weeks
4443.45256 -4.38917 (444*2π)/5731 weeks
4454.65112 -.99218 (445*2π)/5731 weeks
4462.19833 .95707 (446*2π)/5731 weeks
447-.13915 -.66254 (447*2π)/5731 weeks
448.0805 -2.05999 (448*2π)/5731 weeks
4491.51098 -4.00889 (449*2π)/5731 weeks
4503.83825 -2.88709 (450*2π)/5731 weeks
4514.12647 -.30186 (451*2π)/5731 weeks
4521.57146 1.95434 (452*2π)/5731 weeks
453-2.25167 .49016 (453*2π)/5731 weeks
454-2.34843 -4.45391 (454*2π)/5731 weeks
4551.62433 -6.09222 (455*2π)/5731 weeks
4564.75924 -4.78297 (456*2π)/5731 weeks
4576.20537 -.68294 (457*2π)/5731 weeks
4582.42723 3.07867 (458*2π)/5731 weeks
459-2.25824 .9785 (459*2π)/5731 weeks
460-2.87415 -4.19872 (460*2π)/5731 weeks
4611.10947 -7.14526 (461*2π)/5731 weeks
4625.31189 -5.67125 (462*2π)/5731 weeks
4637.47306 -.55586 (463*2π)/5731 weeks
4642.87883 2.70317 (464*2π)/5731 weeks
465-.94992 1.31743 (465*2π)/5731 weeks
466-1.95571 -3.09004 (466*2π)/5731 weeks
4671.19813 -5.51152 (467*2π)/5731 weeks
4684.70265 -3.961 (468*2π)/5731 weeks
4695.30217 -.34139 (469*2π)/5731 weeks
4702.45764 1.84298 (470*2π)/5731 weeks
471-.60808 .29608 (471*2π)/5731 weeks
472-.31987 -1.99879 (472*2π)/5731 weeks
473.53497 -2.81259 (473*2π)/5731 weeks
4741.67423 -2.05926 (474*2π)/5731 weeks
475.14845 -2.20076 (475*2π)/5731 weeks
4761.78138 -4.0628 (476*2π)/5731 weeks
4773.87113 -1.98281 (477*2π)/5731 weeks
4782.18167 .47019 (478*2π)/5731 weeks
479-.97528 -.32934 (479*2π)/5731 weeks
480-2.04169 -3.64626 (480*2π)/5731 weeks
481.79372 -6.03964 (481*2π)/5731 weeks
4824.80269 -4.89478 (482*2π)/5731 weeks
4835.69736 -.55037 (483*2π)/5731 weeks
4841.5671 2.58758 (484*2π)/5731 weeks
485-3.15461 -.49926 (485*2π)/5731 weeks
486-1.97506 -4.71664 (486*2π)/5731 weeks
487.16534 -6.4222 (487*2π)/5731 weeks
4884.79881 -6.42445 (488*2π)/5731 weeks
4896.12993 -1.837 (489*2π)/5731 weeks
4903.84651 1.40548 (490*2π)/5731 weeks
491-1.39227 1.32303 (491*2π)/5731 weeks
492-1.93385 -4.24937 (492*2π)/5731 weeks
4931.95163 -4.61669 (493*2π)/5731 weeks
4942.17583 -4.23478 (494*2π)/5731 weeks
4955.31685 -2.20059 (495*2π)/5731 weeks
4962.7959 2.85975 (496*2π)/5731 weeks
497-3.47667 .84601 (497*2π)/5731 weeks
498-4.20256 -5.07301 (498*2π)/5731 weeks
499.67448 -7.6745 (499*2π)/5731 weeks
5004.77148 -4.52435 (500*2π)/5731 weeks
5011.37672 -.32956 (501*2π)/5731 weeks
502-1.08497 -3.53286 (502*2π)/5731 weeks
503-.43045 -5.40112 (503*2π)/5731 weeks
5042.75044 -8.05304 (504*2π)/5731 weeks
5056.26628 -4.3861 (505*2π)/5731 weeks
5064.68925 .33 (506*2π)/5731 weeks
507.24454 .2143 (507*2π)/5731 weeks
508-1.86678 -2.44163 (508*2π)/5731 weeks
509.40871 -5.7088 (509*2π)/5731 weeks
5103.06425 -3.98662 (510*2π)/5731 weeks
5111.75205 -1.93355 (511*2π)/5731 weeks
512-.82084 -2.71665 (512*2π)/5731 weeks
513-.89258 -5.26781 (513*2π)/5731 weeks
5141.8503 -8.01196 (514*2π)/5731 weeks
5156.12922 -3.34799 (515*2π)/5731 weeks
5161.74937 -.53685 (516*2π)/5731 weeks
517-.07119 -3.02207 (517*2π)/5731 weeks
518.75076 -4.30511 (518*2π)/5731 weeks
5191.65756 -5.56963 (519*2π)/5731 weeks
5204.10455 -3.01883 (520*2π)/5731 weeks
5211.39035 .07148 (521*2π)/5731 weeks
522-2.13737 -.32891 (522*2π)/5731 weeks
523-3.43876 -3.97258 (523*2π)/5731 weeks
524-4.18724 -7.79691 (524*2π)/5731 weeks
5251.60899 -8.74406 (525*2π)/5731 weeks
5261.42173 -5.14327 (526*2π)/5731 weeks
527.9072 -5.85368 (527*2π)/5731 weeks
528-1.25729 -5.69048 (528*2π)/5731 weeks
5291.02222 -9.77853 (529*2π)/5731 weeks
5306.29991 -6.53436 (530*2π)/5731 weeks
5311.03113 -1.14851 (531*2π)/5731 weeks
532-2.65675 -5.14778 (532*2π)/5731 weeks
533-1.78991 -8.36132 (533*2π)/5731 weeks
534.30095 -11.66693 (534*2π)/5731 weeks
5357.33135 -11.12751 (535*2π)/5731 weeks
5369.60411 -3.33897 (536*2π)/5731 weeks
5373.02988 5.24354 (537*2π)/5731 weeks
538-11.79353 1.08509 (538*2π)/5731 weeks
539-11.18489 -14.23871 (539*2π)/5731 weeks
540.06727 -20.4381 (540*2π)/5731 weeks
54110.67549 -16.13654 (541*2π)/5731 weeks
54212.03273 -4.38705 (542*2π)/5731 weeks
5432.09021 2.53583 (543*2π)/5731 weeks
544-4.25725 -1.6641 (544*2π)/5731 weeks
545-9.98782 -6.54072 (545*2π)/5731 weeks
546-5.20699 -18.34872 (546*2π)/5731 weeks
547.91213 -16.86867 (547*2π)/5731 weeks
5484.03132 -15.56245 (548*2π)/5731 weeks
5491.63195 -9.26516 (549*2π)/5731 weeks
550.60205 -15.20071 (550*2π)/5731 weeks
5512.36143 -14.5126 (551*2π)/5731 weeks
5522.32679 -17.00979 (552*2π)/5731 weeks
5535.39228 -18.21406 (553*2π)/5731 weeks
55412.1204 -16.86089 (554*2π)/5731 weeks
55511.97671 -5.23712 (555*2π)/5731 weeks
5563.09597 -3.2754 (556*2π)/5731 weeks
557-7.92177 -2.64736 (557*2π)/5731 weeks
558-18.73426 -14.34896 (558*2π)/5731 weeks
559-18.13779 -35.04753 (559*2π)/5731 weeks
5603.91107 -51.81878 (560*2π)/5731 weeks
56131.62361 -37.36516 (561*2π)/5731 weeks
56227.89541 -11.61901 (562*2π)/5731 weeks
56312.35441 -.26379 (563*2π)/5731 weeks
564-20.15354 -2.54904 (564*2π)/5731 weeks
565-33.02472 -54.61231 (565*2π)/5731 weeks
56619.90484 -79.91573 (566*2π)/5731 weeks
56758.18445 -49.73855 (567*2π)/5731 weeks
56847.91083 5.85567 (568*2π)/5731 weeks
569-28.87049 7.04655 (569*2π)/5731 weeks
570-83.43954 -73.45363 (570*2π)/5731 weeks
571-31.16892 -212.6181 (571*2π)/5731 weeks



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