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Fourier Analysis of SSG (PROSHARES ULTRASHORT SEMICONDUCTORS PROSHARES ULTRASHORT SEMICONDUCTORS)


SSG (PROSHARES ULTRASHORT SEMICONDUCTORS PROSHARES ULTRASHORT SEMICONDUCTORS) appears to have interesting cyclic behaviour every 43 weeks (89.6182*sine), 47 weeks (71.7942*sine), and 51 weeks (68.3973*cosine).

SSG (PROSHARES ULTRASHORT SEMICONDUCTORS PROSHARES ULTRASHORT SEMICONDUCTORS) has an average price of 421.93 (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 2/1/2007 to 10/16/2017 for SSG (PROSHARES ULTRASHORT SEMICONDUCTORS PROSHARES ULTRASHORT SEMICONDUCTORS), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0421.9274   0 
1250.6217 476.1799 (1*2π)/560560 weeks
2-62.24842 342.4607 (2*2π)/560280 weeks
3-163.4414 92.5029 (3*2π)/560187 weeks
4-52.4645 -39.61374 (4*2π)/560140 weeks
577.74541 -30.50815 (5*2π)/560112 weeks
6100.7144 74.33322 (6*2π)/56093 weeks
720.985 123.212 (7*2π)/56080 weeks
8-63.0386 73.31616 (8*2π)/56070 weeks
9-34.73462 -14.67751 (9*2π)/56062 weeks
1019.27921 -21.22358 (10*2π)/56056 weeks
1168.39725 1.68215 (11*2π)/56051 weeks
1262.90341 71.79416 (12*2π)/56047 weeks
13.92793 89.61816 (13*2π)/56043 weeks
14-33.6841 53.59153 (14*2π)/56040 weeks
15-33.39954 19.08449 (15*2π)/56037 weeks
16-14.49687 -4.92751 (16*2π)/56035 weeks
179.01549 -3.91112 (17*2π)/56033 weeks
1827.17478 12.39917 (18*2π)/56031 weeks
1914.79781 34.55414 (19*2π)/56029 weeks
20-1.32117 28.22568 (20*2π)/56028 weeks
21-4.16493 18.88931 (21*2π)/56027 weeks
22-.09209 10.92159 (22*2π)/56025 weeks
237.21156 11.39156 (23*2π)/56024 weeks
2415.18614 22.74732 (24*2π)/56023 weeks
25.13312 28.79276 (25*2π)/56022 weeks
26-5.42121 23.37013 (26*2π)/56022 weeks
27-17.43245 16.11712 (27*2π)/56021 weeks
28-9.33195 2.09786 (28*2π)/56020 weeks
29-1.16614 -4.24252 (29*2π)/56019 weeks
3016.63309 -1.51899 (30*2π)/56019 weeks
3122.95741 17.69317 (31*2π)/56018 weeks
327.26943 32.8791 (32*2π)/56018 weeks
33-14.76543 29.0407 (33*2π)/56017 weeks
34-24.25513 4.37358 (34*2π)/56016 weeks
35-1.43972 -12.86608 (35*2π)/56016 weeks
3615.91657 .72544 (36*2π)/56016 weeks
3713.03421 14.87955 (37*2π)/56015 weeks
382.77902 20.64829 (38*2π)/56015 weeks
39-7.05961 15.13363 (39*2π)/56014 weeks
40-9.26576 5.13723 (40*2π)/56014 weeks
41-.20588 -4.24364 (41*2π)/56014 weeks
4212.38356 5.0919 (42*2π)/56013 weeks
435.8287 14.33658 (43*2π)/56013 weeks
44-.25829 10.90157 (44*2π)/56013 weeks
45-1.88727 7.59301 (45*2π)/56012 weeks
463.88825 5.0556 (46*2π)/56012 weeks
475.5399 12.88595 (47*2π)/56012 weeks
48-4.48466 14.43214 (48*2π)/56012 weeks
49-7.3815 9.50113 (49*2π)/56011 weeks
50-8.43054 1.05045 (50*2π)/56011 weeks
51-.9774 -3.77124 (51*2π)/56011 weeks
524.8434 .33925 (52*2π)/56011 weeks
534.15232 4.32103 (53*2π)/56011 weeks
542.76265 5.57405 (54*2π)/56010 weeks
55-.58787 4.94137 (55*2π)/56010 weeks
561.29722 -1.33949 (56*2π)/56010 weeks
579.68013 1.98774 (57*2π)/56010 weeks
585.27551 7.72903 (58*2π)/56010 weeks
593.41115 8.12891 (59*2π)/5609 weeks
60.53884 6.20627 (60*2π)/5609 weeks
612.09209 4.97462 (61*2π)/5609 weeks
621.31455 6.16198 (62*2π)/5609 weeks
63-1.86371 4.83025 (63*2π)/5609 weeks
64-.30224 -.99146 (64*2π)/5609 weeks
655.10494 -2.55808 (65*2π)/5609 weeks
6611.43589 2.40377 (66*2π)/5608 weeks
678.34883 9.98708 (67*2π)/5608 weeks
681.50779 8.81072 (68*2π)/5608 weeks
69.94421 6.27861 (69*2π)/5608 weeks
701.34967 2.33925 (70*2π)/5608 weeks
718.2335 4.52355 (71*2π)/5608 weeks
725.67864 12.74186 (72*2π)/5608 weeks
73-4.66601 13.15632 (73*2π)/5608 weeks
74-9.23837 2.345 (74*2π)/5608 weeks
75-1.05488 -6.2626 (75*2π)/5607 weeks
768.02588 -1.60677 (76*2π)/5607 weeks
777.62044 5.51336 (77*2π)/5607 weeks
785.18352 8.09008 (78*2π)/5607 weeks
79-1.62734 8.78043 (79*2π)/5607 weeks
80-3.38958 .39366 (80*2π)/5607 weeks
814.40251 -2.37013 (81*2π)/5607 weeks
829.48131 2.2471 (82*2π)/5607 weeks
838.60393 11.08197 (83*2π)/5607 weeks
84-1.17865 12.39874 (84*2π)/5607 weeks
85-5.94676 8.12777 (85*2π)/5607 weeks
86-8.20083 -1.51302 (86*2π)/5607 weeks
871.88292 -6.99081 (87*2π)/5606 weeks
8810.58572 -2.83242 (88*2π)/5606 weeks
8911.71095 8.47228 (89*2π)/5606 weeks
901.43504 12.94972 (90*2π)/5606 weeks
91-6.13328 6.81306 (91*2π)/5606 weeks
92-3.43792 -2.11638 (92*2π)/5606 weeks
934.69885 -2.61435 (93*2π)/5606 weeks
948.42485 4.07613 (94*2π)/5606 weeks
952.75846 9.35618 (95*2π)/5606 weeks
96-1.86199 5.51734 (96*2π)/5606 weeks
97-2.0788 3.23876 (97*2π)/5606 weeks
98-1.17437 .36911 (98*2π)/5606 weeks
99-.44502 -.26617 (99*2π)/5606 weeks
1001.83854 -3.44576 (100*2π)/5606 weeks
1017.34658 -1.56397 (101*2π)/5606 weeks
1028.34233 4.58976 (102*2π)/5605 weeks
1034.21723 7.54595 (103*2π)/5605 weeks
104-.83259 6.19383 (104*2π)/5605 weeks
105-2.78416 1.19226 (105*2π)/5605 weeks
1061.25354 -3.08173 (106*2π)/5605 weeks
1078.27068 -2.31309 (107*2π)/5605 weeks
1089.64174 6.47812 (108*2π)/5605 weeks
1093.73074 10.196 (109*2π)/5605 weeks
110-3.46206 7.94628 (110*2π)/5605 weeks
111-6.33843 .13467 (111*2π)/5605 weeks
112.38879 -6.78187 (112*2π)/5605 weeks
11310.60233 -3.04362 (113*2π)/5605 weeks
11411.10486 5.91384 (114*2π)/5605 weeks
1154.83655 11.85545 (115*2π)/5605 weeks
116-4.4243 10.39374 (116*2π)/5605 weeks
117-7.89079 -.02616 (117*2π)/5605 weeks
118.62668 -6.31756 (118*2π)/5605 weeks
1198.04883 -1.70346 (119*2π)/5605 weeks
1207.35211 5.09302 (120*2π)/5605 weeks
1211.75433 6.92268 (121*2π)/5605 weeks
122-1.64311 3.61899 (122*2π)/5605 weeks
123-1.69369 -.57756 (123*2π)/5605 weeks
1243.82551 -3.83266 (124*2π)/5605 weeks
1258.6619 .85884 (125*2π)/5604 weeks
1266.19204 7.69271 (126*2π)/5604 weeks
127-.12797 6.25677 (127*2π)/5604 weeks
128-1.55048 2.01251 (128*2π)/5604 weeks
1291.2752 -.74368 (129*2π)/5604 weeks
1303.84529 .84374 (130*2π)/5604 weeks
1314.51487 2.39977 (131*2π)/5604 weeks
1322.92198 3.9038 (132*2π)/5604 weeks
1331.02647 3.3011 (133*2π)/5604 weeks
134.35147 .17387 (134*2π)/5604 weeks
1354.24548 -1.84564 (135*2π)/5604 weeks
1367.54107 2.11736 (136*2π)/5604 weeks
1375.60457 6.12061 (137*2π)/5604 weeks
1382.55489 7.10686 (138*2π)/5604 weeks
139-1.36471 4.73112 (139*2π)/5604 weeks
140.11577 .46727 (140*2π)/5604 weeks
1413.10565 2.38096 (141*2π)/5604 weeks
1421.43075 3.61013 (142*2π)/5604 weeks
143.20458 2.45047 (143*2π)/5604 weeks
144.93377 -.33926 (144*2π)/5604 weeks
1455.29649 .68932 (145*2π)/5604 weeks
1463.33529 4.579 (146*2π)/5604 weeks
147.72566 3.63015 (147*2π)/5604 weeks
148.30173 2.16331 (148*2π)/5604 weeks
1491.8145 .5339 (149*2π)/5604 weeks
1503.47771 2.05815 (150*2π)/5604 weeks
1512.20975 3.06171 (151*2π)/5604 weeks
1521.52074 3.66397 (152*2π)/5604 weeks
153-.92561 1.95969 (153*2π)/5604 weeks
1541.42652 -.36867 (154*2π)/5604 weeks
1552.00329 .74248 (155*2π)/5604 weeks
1563.64964 -.00156 (156*2π)/5604 weeks
1573.9709 2.69789 (157*2π)/5604 weeks
1582.35483 2.82158 (158*2π)/5604 weeks
1591.6924 1.95501 (159*2π)/5604 weeks
1602.43177 1.12637 (160*2π)/5604 weeks
1614.53878 2.29854 (161*2π)/5603 weeks
1622.4104 4.97403 (162*2π)/5603 weeks
163.82853 3.15946 (163*2π)/5603 weeks
164.52693 2.93934 (164*2π)/5603 weeks
165-.3397 1.6109 (165*2π)/5603 weeks
166.75488 -.01313 (166*2π)/5603 weeks
1673.73872 -.02921 (167*2π)/5603 weeks
1683.69953 3.3024 (168*2π)/5603 weeks
1691.8467 4.23234 (169*2π)/5603 weeks
170-1.22323 3.75646 (170*2π)/5603 weeks
171-2.20367 -.33145 (171*2π)/5603 weeks
1721.53436 -2.60388 (172*2π)/5603 weeks
1734.5226 -.52483 (173*2π)/5603 weeks
1744.20105 2.17623 (174*2π)/5603 weeks
1752.96317 3.30912 (175*2π)/5603 weeks
176.97402 3.64388 (176*2π)/5603 weeks
177-1.26828 1.40286 (177*2π)/5603 weeks
178.43219 -2.35593 (178*2π)/5603 weeks
1795.153 -1.64046 (179*2π)/5603 weeks
1806.37857 2.39901 (180*2π)/5603 weeks
1814.25258 5.43065 (181*2π)/5603 weeks
182-.06452 5.8666 (182*2π)/5603 weeks
183-2.7319 2.67703 (183*2π)/5603 weeks
184-1.57251 -1.40999 (184*2π)/5603 weeks
1852.1217 -2.67481 (185*2π)/5603 weeks
1864.87319 -.19538 (186*2π)/5603 weeks
1874.77107 2.43174 (187*2π)/5603 weeks
1882.46363 3.83392 (188*2π)/5603 weeks
1891.30357 3.31375 (189*2π)/5603 weeks
190-.58191 2.40608 (190*2π)/5603 weeks
191.77557 .3448 (191*2π)/5603 weeks
1921.38875 .87673 (192*2π)/5603 weeks
1932.03547 .81146 (193*2π)/5603 weeks
1941.82646 2.39423 (194*2π)/5603 weeks
195-.36555 1.69028 (195*2π)/5603 weeks
196.07628 -.27616 (196*2π)/5603 weeks
1971.3471 -2.24029 (197*2π)/5603 weeks
1985.99168 -1.41138 (198*2π)/5603 weeks
1995.69422 4.73505 (199*2π)/5603 weeks
200.79952 5.57912 (200*2π)/5603 weeks
201-2.09662 3.32196 (201*2π)/5603 weeks
202-2.0181 -1.05411 (202*2π)/5603 weeks
2031.69785 -1.90493 (203*2π)/5603 weeks
2042.48959 -.18307 (204*2π)/5603 weeks
2054.16092 1.2423 (205*2π)/5603 weeks
206.53049 4.19035 (206*2π)/5603 weeks
207-1.6734 .68316 (207*2π)/5603 weeks
208-1.33243 -1.55161 (208*2π)/5603 weeks
2091.95748 -4.60258 (209*2π)/5603 weeks
2106.71458 -2.00652 (210*2π)/5603 weeks
2116.19396 3.74909 (211*2π)/5603 weeks
2121.28466 5.29253 (212*2π)/5603 weeks
213-2.77956 1.84627 (213*2π)/5603 weeks
214-.08991 -3.18772 (214*2π)/5603 weeks
2154.2858 -1.95394 (215*2π)/5603 weeks
2165.33487 1.24096 (216*2π)/5603 weeks
2173.25412 4.5038 (217*2π)/5603 weeks
218-2.02414 3.29716 (218*2π)/5603 weeks
219-1.77966 -1.71163 (219*2π)/5603 weeks
2202.34605 -3.93913 (220*2π)/5603 weeks
2216.50201 -.86945 (221*2π)/5603 weeks
2224.73359 3.78648 (222*2π)/5603 weeks
223.19412 3.35593 (223*2π)/5603 weeks
224.54639 .0217 (224*2π)/5603 weeks
2253.00205 .11361 (225*2π)/5602 weeks
2263.41747 1.89276 (226*2π)/5602 weeks
2271.7392 4.11102 (227*2π)/5602 weeks
228-2.04693 3.06639 (228*2π)/5602 weeks
229-2.52709 -1.5713 (229*2π)/5602 weeks
2301.24345 -3.00802 (230*2π)/5602 weeks
2314.09206 -2.23068 (231*2π)/5602 weeks
2324.77091 1.78584 (232*2π)/5602 weeks
2331.58952 3.25187 (233*2π)/5602 weeks
234-.83412 1.80941 (234*2π)/5602 weeks
235-1.11137 -1.21143 (235*2π)/5602 weeks
2362.43004 -3.16487 (236*2π)/5602 weeks
2375.50248 -.04194 (237*2π)/5602 weeks
2383.39648 3.80528 (238*2π)/5602 weeks
239-1.35004 3.6734 (239*2π)/5602 weeks
240-2.75552 -1.0847 (240*2π)/5602 weeks
241.29014 -4.02145 (241*2π)/5602 weeks
2423.72265 -3.3601 (242*2π)/5602 weeks
2436.33731 -.32051 (243*2π)/5602 weeks
2443.11509 3.93717 (244*2π)/5602 weeks
245.04414 1.78885 (245*2π)/5602 weeks
246-.35926 .13173 (246*2π)/5602 weeks
2471.1219 -1.6346 (247*2π)/5602 weeks
2482.07436 -1.09063 (248*2π)/5602 weeks
2492.56555 -.8334 (249*2π)/5602 weeks
2503.38849 .13658 (250*2π)/5602 weeks
2512.11861 1.56759 (251*2π)/5602 weeks
252.77461 .48446 (252*2π)/5602 weeks
253.10289 -.69274 (253*2π)/5602 weeks
2541.56486 -2.60473 (254*2π)/5602 weeks
2555.04809 -2.46988 (255*2π)/5602 weeks
2566.14032 2.35647 (256*2π)/5602 weeks
2572.00148 5.11603 (257*2π)/5602 weeks
258-2.60501 3.29925 (258*2π)/5602 weeks
259-4.58267 -2.14823 (259*2π)/5602 weeks
260-.06167 -6.92284 (260*2π)/5602 weeks
2616.61439 -6.08168 (261*2π)/5602 weeks
2629.07255 .95628 (262*2π)/5602 weeks
2633.94815 5.71159 (263*2π)/5602 weeks
264-1.27033 3.38078 (264*2π)/5602 weeks
265-2.30328 -1.28661 (265*2π)/5602 weeks
266.88382 -4.47439 (266*2π)/5602 weeks
2675.40735 -3.66973 (267*2π)/5602 weeks
2686.13433 1.66835 (268*2π)/5602 weeks
2692.65653 3.40236 (269*2π)/5602 weeks
270-.82358 2.19675 (270*2π)/5602 weeks
271-1.20835 -2.05075 (271*2π)/5602 weeks
2721.16296 -4.30622 (272*2π)/5602 weeks
2735.98673 -3.38729 (273*2π)/5602 weeks
2746.52932 2.31693 (274*2π)/5602 weeks
2751.1977 3.4745 (275*2π)/5602 weeks
276-.59127 -.20989 (276*2π)/5602 weeks
277.23291 -2.71327 (277*2π)/5602 weeks
2783.09967 -3.46025 (278*2π)/5602 weeks
2795.0728 -2.90359 (279*2π)/5602 weeks
2807.32137   (280*2π)/5602 weeks
2815.0728 2.90359 (281*2π)/5602 weeks
2823.09967 3.46025 (282*2π)/5602 weeks
283.23291 2.71327 (283*2π)/5602 weeks
284-.59127 .20989 (284*2π)/5602 weeks
2851.1977 -3.4745 (285*2π)/5602 weeks
2866.52932 -2.31693 (286*2π)/5602 weeks
2875.98673 3.38729 (287*2π)/5602 weeks
2881.16296 4.30622 (288*2π)/5602 weeks
289-1.20835 2.05075 (289*2π)/5602 weeks
290-.82358 -2.19675 (290*2π)/5602 weeks
2912.65653 -3.40236 (291*2π)/5602 weeks
2926.13433 -1.66835 (292*2π)/5602 weeks
2935.40735 3.66973 (293*2π)/5602 weeks
294.88382 4.47439 (294*2π)/5602 weeks
295-2.30328 1.28661 (295*2π)/5602 weeks
296-1.27033 -3.38078 (296*2π)/5602 weeks
2973.94815 -5.71159 (297*2π)/5602 weeks
2989.07255 -.95628 (298*2π)/5602 weeks
2996.61439 6.08168 (299*2π)/5602 weeks
300-.06167 6.92284 (300*2π)/5602 weeks
301-4.58267 2.14823 (301*2π)/5602 weeks
302-2.60501 -3.29925 (302*2π)/5602 weeks
3032.00148 -5.11603 (303*2π)/5602 weeks
3046.14032 -2.35647 (304*2π)/5602 weeks
3055.04809 2.46988 (305*2π)/5602 weeks
3061.56486 2.60473 (306*2π)/5602 weeks
307.10289 .69274 (307*2π)/5602 weeks
308.77461 -.48446 (308*2π)/5602 weeks
3092.11861 -1.56759 (309*2π)/5602 weeks
3103.38849 -.13658 (310*2π)/5602 weeks
3112.56555 .8334 (311*2π)/5602 weeks
3122.07436 1.09063 (312*2π)/5602 weeks
3131.1219 1.6346 (313*2π)/5602 weeks
314-.35926 -.13173 (314*2π)/5602 weeks
315.04414 -1.78885 (315*2π)/5602 weeks
3163.11509 -3.93717 (316*2π)/5602 weeks
3176.33731 .32051 (317*2π)/5602 weeks
3183.72265 3.3601 (318*2π)/5602 weeks
319.29014 4.02145 (319*2π)/5602 weeks
320-2.75552 1.0847 (320*2π)/5602 weeks
321-1.35004 -3.6734 (321*2π)/5602 weeks
3223.39648 -3.80528 (322*2π)/5602 weeks
3235.50248 .04194 (323*2π)/5602 weeks
3242.43004 3.16487 (324*2π)/5602 weeks
325-1.11137 1.21143 (325*2π)/5602 weeks
326-.83412 -1.80941 (326*2π)/5602 weeks
3271.58952 -3.25187 (327*2π)/5602 weeks
3284.77091 -1.78584 (328*2π)/5602 weeks
3294.09206 2.23068 (329*2π)/5602 weeks
3301.24345 3.00802 (330*2π)/5602 weeks
331-2.52709 1.5713 (331*2π)/5602 weeks
332-2.04693 -3.06639 (332*2π)/5602 weeks
3331.7392 -4.11102 (333*2π)/5602 weeks
3343.41747 -1.89276 (334*2π)/5602 weeks
3353.00205 -.11361 (335*2π)/5602 weeks
336.54639 -.0217 (336*2π)/5602 weeks
337.19412 -3.35593 (337*2π)/5602 weeks
3384.73359 -3.78648 (338*2π)/5602 weeks
3396.50201 .86945 (339*2π)/5602 weeks
3402.34605 3.93913 (340*2π)/5602 weeks
341-1.77966 1.71163 (341*2π)/5602 weeks
342-2.02414 -3.29716 (342*2π)/5602 weeks
3433.25412 -4.5038 (343*2π)/5602 weeks
3445.33487 -1.24096 (344*2π)/5602 weeks
3454.2858 1.95394 (345*2π)/5602 weeks
346-.08991 3.18772 (346*2π)/5602 weeks
347-2.77956 -1.84627 (347*2π)/5602 weeks
3481.28466 -5.29253 (348*2π)/5602 weeks
3496.19396 -3.74909 (349*2π)/5602 weeks
3506.71458 2.00652 (350*2π)/5602 weeks
3511.95748 4.60258 (351*2π)/5602 weeks
352-1.33243 1.55161 (352*2π)/5602 weeks
353-1.6734 -.68316 (353*2π)/5602 weeks
354.53049 -4.19035 (354*2π)/5602 weeks
3554.16092 -1.2423 (355*2π)/5602 weeks
3562.48959 .18307 (356*2π)/5602 weeks
3571.69785 1.90493 (357*2π)/5602 weeks
358-2.0181 1.05411 (358*2π)/5602 weeks
359-2.09662 -3.32196 (359*2π)/5602 weeks
360.79952 -5.57912 (360*2π)/5602 weeks
3615.69422 -4.73505 (361*2π)/5602 weeks
3625.99168 1.41138 (362*2π)/5602 weeks
3631.3471 2.24029 (363*2π)/5602 weeks
364.07628 .27616 (364*2π)/5602 weeks
365-.36555 -1.69028 (365*2π)/5602 weeks
3661.82646 -2.39423 (366*2π)/5602 weeks
3672.03547 -.81146 (367*2π)/5602 weeks
3681.38875 -.87673 (368*2π)/5602 weeks
369.77557 -.3448 (369*2π)/5602 weeks
370-.58191 -2.40608 (370*2π)/5602 weeks
3711.30357 -3.31375 (371*2π)/5602 weeks
3722.46363 -3.83392 (372*2π)/5602 weeks
3734.77107 -2.43174 (373*2π)/5602 weeks
3744.87319 .19538 (374*2π)/5601 weeks
3752.1217 2.67481 (375*2π)/5601 weeks
376-1.57251 1.40999 (376*2π)/5601 weeks
377-2.7319 -2.67703 (377*2π)/5601 weeks
378-.06452 -5.8666 (378*2π)/5601 weeks
3794.25258 -5.43065 (379*2π)/5601 weeks
3806.37857 -2.39901 (380*2π)/5601 weeks
3815.153 1.64046 (381*2π)/5601 weeks
382.43219 2.35593 (382*2π)/5601 weeks
383-1.26828 -1.40286 (383*2π)/5601 weeks
384.97402 -3.64388 (384*2π)/5601 weeks
3852.96317 -3.30912 (385*2π)/5601 weeks
3864.20105 -2.17623 (386*2π)/5601 weeks
3874.5226 .52483 (387*2π)/5601 weeks
3881.53436 2.60388 (388*2π)/5601 weeks
389-2.20367 .33145 (389*2π)/5601 weeks
390-1.22323 -3.75646 (390*2π)/5601 weeks
3911.8467 -4.23234 (391*2π)/5601 weeks
3923.69953 -3.3024 (392*2π)/5601 weeks
3933.73872 .02921 (393*2π)/5601 weeks
394.75488 .01313 (394*2π)/5601 weeks
395-.3397 -1.6109 (395*2π)/5601 weeks
396.52693 -2.93934 (396*2π)/5601 weeks
397.82853 -3.15946 (397*2π)/5601 weeks
3982.4104 -4.97403 (398*2π)/5601 weeks
3994.53878 -2.29854 (399*2π)/5601 weeks
4002.43177 -1.12637 (400*2π)/5601 weeks
4011.6924 -1.95501 (401*2π)/5601 weeks
4022.35483 -2.82158 (402*2π)/5601 weeks
4033.9709 -2.69789 (403*2π)/5601 weeks
4043.64964 .00156 (404*2π)/5601 weeks
4052.00329 -.74248 (405*2π)/5601 weeks
4061.42652 .36867 (406*2π)/5601 weeks
407-.92561 -1.95969 (407*2π)/5601 weeks
4081.52074 -3.66397 (408*2π)/5601 weeks
4092.20975 -3.06171 (409*2π)/5601 weeks
4103.47771 -2.05815 (410*2π)/5601 weeks
4111.8145 -.5339 (411*2π)/5601 weeks
412.30173 -2.16331 (412*2π)/5601 weeks
413.72566 -3.63015 (413*2π)/5601 weeks
4143.33529 -4.579 (414*2π)/5601 weeks
4155.29649 -.68932 (415*2π)/5601 weeks
416.93377 .33926 (416*2π)/5601 weeks
417.20458 -2.45047 (417*2π)/5601 weeks
4181.43075 -3.61013 (418*2π)/5601 weeks
4193.10565 -2.38096 (419*2π)/5601 weeks
420.11577 -.46727 (420*2π)/5601 weeks
421-1.36471 -4.73112 (421*2π)/5601 weeks
4222.55489 -7.10686 (422*2π)/5601 weeks
4235.60457 -6.12061 (423*2π)/5601 weeks
4247.54107 -2.11736 (424*2π)/5601 weeks
4254.24548 1.84564 (425*2π)/5601 weeks
426.35147 -.17387 (426*2π)/5601 weeks
4271.02647 -3.3011 (427*2π)/5601 weeks
4282.92198 -3.9038 (428*2π)/5601 weeks
4294.51487 -2.39977 (429*2π)/5601 weeks
4303.84529 -.84374 (430*2π)/5601 weeks
4311.2752 .74368 (431*2π)/5601 weeks
432-1.55048 -2.01251 (432*2π)/5601 weeks
433-.12797 -6.25677 (433*2π)/5601 weeks
4346.19204 -7.69271 (434*2π)/5601 weeks
4358.6619 -.85884 (435*2π)/5601 weeks
4363.82551 3.83266 (436*2π)/5601 weeks
437-1.69369 .57756 (437*2π)/5601 weeks
438-1.64311 -3.61899 (438*2π)/5601 weeks
4391.75433 -6.92268 (439*2π)/5601 weeks
4407.35211 -5.09302 (440*2π)/5601 weeks
4418.04883 1.70346 (441*2π)/5601 weeks
442.62668 6.31756 (442*2π)/5601 weeks
443-7.89079 .02616 (443*2π)/5601 weeks
444-4.4243 -10.39374 (444*2π)/5601 weeks
4454.83655 -11.85545 (445*2π)/5601 weeks
44611.10486 -5.91384 (446*2π)/5601 weeks
44710.60233 3.04362 (447*2π)/5601 weeks
448.38879 6.78187 (448*2π)/5601 weeks
449-6.33843 -.13467 (449*2π)/5601 weeks
450-3.46206 -7.94628 (450*2π)/5601 weeks
4513.73074 -10.196 (451*2π)/5601 weeks
4529.64174 -6.47812 (452*2π)/5601 weeks
4538.27068 2.31309 (453*2π)/5601 weeks
4541.25354 3.08173 (454*2π)/5601 weeks
455-2.78416 -1.19226 (455*2π)/5601 weeks
456-.83259 -6.19383 (456*2π)/5601 weeks
4574.21723 -7.54595 (457*2π)/5601 weeks
4588.34233 -4.58976 (458*2π)/5601 weeks
4597.34658 1.56397 (459*2π)/5601 weeks
4601.83854 3.44576 (460*2π)/5601 weeks
461-.44502 .26617 (461*2π)/5601 weeks
462-1.17437 -.36911 (462*2π)/5601 weeks
463-2.0788 -3.23876 (463*2π)/5601 weeks
464-1.86199 -5.51734 (464*2π)/5601 weeks
4652.75846 -9.35618 (465*2π)/5601 weeks
4668.42485 -4.07613 (466*2π)/5601 weeks
4674.69885 2.61435 (467*2π)/5601 weeks
468-3.43792 2.11638 (468*2π)/5601 weeks
469-6.13328 -6.81306 (469*2π)/5601 weeks
4701.43504 -12.94972 (470*2π)/5601 weeks
47111.71095 -8.47228 (471*2π)/5601 weeks
47210.58572 2.83242 (472*2π)/5601 weeks
4731.88292 6.99081 (473*2π)/5601 weeks
474-8.20083 1.51302 (474*2π)/5601 weeks
475-5.94676 -8.12777 (475*2π)/5601 weeks
476-1.17865 -12.39874 (476*2π)/5601 weeks
4778.60393 -11.08197 (477*2π)/5601 weeks
4789.48131 -2.2471 (478*2π)/5601 weeks
4794.40251 2.37013 (479*2π)/5601 weeks
480-3.38958 -.39366 (480*2π)/5601 weeks
481-1.62734 -8.78043 (481*2π)/5601 weeks
4825.18352 -8.09008 (482*2π)/5601 weeks
4837.62044 -5.51336 (483*2π)/5601 weeks
4848.02588 1.60677 (484*2π)/5601 weeks
485-1.05488 6.2626 (485*2π)/5601 weeks
486-9.23837 -2.345 (486*2π)/5601 weeks
487-4.66601 -13.15632 (487*2π)/5601 weeks
4885.67864 -12.74186 (488*2π)/5601 weeks
4898.2335 -4.52355 (489*2π)/5601 weeks
4901.34967 -2.33925 (490*2π)/5601 weeks
491.94421 -6.27861 (491*2π)/5601 weeks
4921.50779 -8.81072 (492*2π)/5601 weeks
4938.34883 -9.98708 (493*2π)/5601 weeks
49411.43589 -2.40377 (494*2π)/5601 weeks
4955.10494 2.55808 (495*2π)/5601 weeks
496-.30224 .99146 (496*2π)/5601 weeks
497-1.86371 -4.83025 (497*2π)/5601 weeks
4981.31455 -6.16198 (498*2π)/5601 weeks
4992.09209 -4.97462 (499*2π)/5601 weeks
500.53884 -6.20627 (500*2π)/5601 weeks
5013.41115 -8.12891 (501*2π)/5601 weeks
5025.27551 -7.72903 (502*2π)/5601 weeks
5039.68013 -1.98774 (503*2π)/5601 weeks
5041.29722 1.33949 (504*2π)/5601 weeks
505-.58787 -4.94137 (505*2π)/5601 weeks
5062.76265 -5.57405 (506*2π)/5601 weeks
5074.15232 -4.32103 (507*2π)/5601 weeks
5084.8434 -.33925 (508*2π)/5601 weeks
509-.9774 3.77124 (509*2π)/5601 weeks
510-8.43054 -1.05045 (510*2π)/5601 weeks
511-7.3815 -9.50113 (511*2π)/5601 weeks
512-4.48466 -14.43214 (512*2π)/5601 weeks
5135.5399 -12.88595 (513*2π)/5601 weeks
5143.88825 -5.0556 (514*2π)/5601 weeks
515-1.88727 -7.59301 (515*2π)/5601 weeks
516-.25829 -10.90157 (516*2π)/5601 weeks
5175.8287 -14.33658 (517*2π)/5601 weeks
51812.38356 -5.0919 (518*2π)/5601 weeks
519-.20588 4.24364 (519*2π)/5601 weeks
520-9.26576 -5.13723 (520*2π)/5601 weeks
521-7.05961 -15.13363 (521*2π)/5601 weeks
5222.77902 -20.64829 (522*2π)/5601 weeks
52313.03421 -14.87955 (523*2π)/5601 weeks
52415.91657 -.72544 (524*2π)/5601 weeks
525-1.43972 12.86608 (525*2π)/5601 weeks
526-24.25513 -4.37358 (526*2π)/5601 weeks
527-14.76543 -29.0407 (527*2π)/5601 weeks
5287.26943 -32.8791 (528*2π)/5601 weeks
52922.95741 -17.69317 (529*2π)/5601 weeks
53016.63309 1.51899 (530*2π)/5601 weeks
531-1.16614 4.24252 (531*2π)/5601 weeks
532-9.33195 -2.09786 (532*2π)/5601 weeks
533-17.43245 -16.11712 (533*2π)/5601 weeks
534-5.42121 -23.37013 (534*2π)/5601 weeks
535.13312 -28.79276 (535*2π)/5601 weeks
53615.18614 -22.74732 (536*2π)/5601 weeks
5377.21156 -11.39156 (537*2π)/5601 weeks
538-.09209 -10.92159 (538*2π)/5601 weeks
539-4.16493 -18.88931 (539*2π)/5601 weeks
540-1.32117 -28.22568 (540*2π)/5601 weeks
54114.79781 -34.55414 (541*2π)/5601 weeks
54227.17478 -12.39917 (542*2π)/5601 weeks
5439.01549 3.91112 (543*2π)/5601 weeks
544-14.49687 4.92751 (544*2π)/5601 weeks
545-33.39954 -19.08449 (545*2π)/5601 weeks
546-33.6841 -53.59153 (546*2π)/5601 weeks
547.92793 -89.61816 (547*2π)/5601 weeks
54862.90341 -71.79416 (548*2π)/5601 weeks
54968.39725 -1.68215 (549*2π)/5601 weeks
55019.27921 21.22358 (550*2π)/5601 weeks
551-34.73462 14.67751 (551*2π)/5601 weeks
552-63.0386 -73.31616 (552*2π)/5601 weeks
55320.985 -123.212 (553*2π)/5601 weeks
554100.7144 -74.33322 (554*2π)/5601 weeks
55577.74541 30.50815 (555*2π)/5601 weeks
556-52.4645 39.61374 (556*2π)/5601 weeks
557-163.4414 -92.5029 (557*2π)/5601 weeks
558-62.24842 -342.4607 (558*2π)/5601 weeks



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