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Fourier Analysis of SKF (ProShares UltraShort Financials)


SKF (ProShares UltraShort Financials) appears to have interesting cyclic behaviour every 48 weeks (69.6684*sine), 44 weeks (68.7417*sine), and 17 weeks (58.0873*cosine).

SKF (ProShares UltraShort Financials) has an average price of 507.51 (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 3/13/2017 for SKF (ProShares UltraShort Financials), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0507.5057   0 
1382.6055 587.2228 (1*2π)/529529 weeks
2-50.6776 482.7386 (2*2π)/529265 weeks
3-252.2137 181.1605 (3*2π)/529176 weeks
4-114.1181 -60.29792 (4*2π)/529132 weeks
559.31007 -39.95466 (5*2π)/529106 weeks
684.19683 80.28622 (6*2π)/52988 weeks
7-17.06883 120.5138 (7*2π)/52976 weeks
8-65.52276 24.10035 (8*2π)/52966 weeks
93.29104 -20.5735 (9*2π)/52959 weeks
1049.40964 7.13749 (10*2π)/52953 weeks
1144.71323 69.66838 (11*2π)/52948 weeks
12-26.26341 68.74166 (12*2π)/52944 weeks
13-31.54559 9.9378 (13*2π)/52941 weeks
148.36828 -6.59179 (14*2π)/52938 weeks
1535.29932 23.8841 (15*2π)/52935 weeks
165.72244 53.79076 (16*2π)/52933 weeks
17-24.56469 34.16726 (17*2π)/52931 weeks
18-24.22894 -1.76145 (18*2π)/52929 weeks
1913.06628 -16.17976 (19*2π)/52928 weeks
2036.23227 12.01268 (20*2π)/52926 weeks
2118.96276 39.5948 (21*2π)/52925 weeks
22-7.94808 29.6321 (22*2π)/52924 weeks
23-1.05537 10.68323 (23*2π)/52923 weeks
2418.09477 19.22789 (24*2π)/52922 weeks
251.23195 45.13733 (25*2π)/52921 weeks
26-29.80246 27.1671 (26*2π)/52920 weeks
27-27.87956 -10.47125 (27*2π)/52920 weeks
2815.36704 -28.55156 (28*2π)/52919 weeks
2949.81676 12.43934 (29*2π)/52918 weeks
3020.42399 61.44158 (30*2π)/52918 weeks
31-38.69428 55.58588 (31*2π)/52917 weeks
32-58.08728 -4.9731 (32*2π)/52917 weeks
33-9.62153 -43.02032 (33*2π)/52916 weeks
3434.96096 -18.0932 (34*2π)/52916 weeks
3532.60225 24.43344 (35*2π)/52915 weeks
36-2.36992 35.027 (36*2π)/52915 weeks
37-18.61198 11.47577 (37*2π)/52914 weeks
38-4.83421 -6.74892 (38*2π)/52914 weeks
3914.19384 -1.78414 (39*2π)/52914 weeks
4013.8226 20.65177 (40*2π)/52913 weeks
41-8.89173 20.38452 (41*2π)/52913 weeks
42-10.75644 2.81522 (42*2π)/52913 weeks
431.53962 -6.80147 (43*2π)/52912 weeks
4416.35807 3.90666 (44*2π)/52912 weeks
459.76787 19.6385 (45*2π)/52912 weeks
46-3.48579 21.22263 (46*2π)/52912 weeks
47-13.96048 9.36109 (47*2π)/52911 weeks
48-7.4867 -1.98748 (48*2π)/52911 weeks
492.18716 -1.88915 (49*2π)/52911 weeks
503.54092 4.41642 (50*2π)/52911 weeks
51.09385 4.51774 (51*2π)/52910 weeks
522.02946 .49145 (52*2π)/52910 weeks
537.48421 2.12877 (53*2π)/52910 weeks
547.17169 10.00085 (54*2π)/52910 weeks
55-2.32809 8.80319 (55*2π)/52910 weeks
56-.93474 -.6047 (56*2π)/5299 weeks
5710.36935 .3938 (57*2π)/5299 weeks
5812.75832 13.58068 (58*2π)/5299 weeks
59-2.5734 24.04986 (59*2π)/5299 weeks
60-20.58985 8.90347 (60*2π)/5299 weeks
61-13.42277 -11.97672 (61*2π)/5299 weeks
628.0911 -17.81964 (62*2π)/5299 weeks
6322.42163 .33657 (63*2π)/5298 weeks
649.97006 16.38066 (64*2π)/5298 weeks
65-1.71534 11.08089 (65*2π)/5298 weeks
66-1.31239 .17943 (66*2π)/5298 weeks
6711.84966 1.37034 (67*2π)/5298 weeks
6810.11711 17.26221 (68*2π)/5298 weeks
69-6.80968 19.73211 (69*2π)/5298 weeks
70-17.16211 5.02647 (70*2π)/5298 weeks
71-6.46022 -13.41955 (71*2π)/5297 weeks
7213.70309 -7.53622 (72*2π)/5297 weeks
7315.29252 9.53793 (73*2π)/5297 weeks
741.69903 21.79079 (74*2π)/5297 weeks
75-20.11843 9.12831 (75*2π)/5297 weeks
76-11.07884 -16.5512 (76*2π)/5297 weeks
7713.47476 -17.0624 (77*2π)/5297 weeks
7826.41039 4.7044 (78*2π)/5297 weeks
799.71161 25.02912 (79*2π)/5297 weeks
80-12.17514 18.35364 (80*2π)/5297 weeks
81-18.57415 -2.66487 (81*2π)/5297 weeks
82.01803 -18.12498 (82*2π)/5296 weeks
8317.98675 -6.89926 (83*2π)/5296 weeks
8417.17191 9.535 (84*2π)/5296 weeks
854.42547 15.60445 (85*2π)/5296 weeks
86-3.37936 9.0112 (86*2π)/5296 weeks
87-1.35818 3.41076 (87*2π)/5296 weeks
881.23476 4.46447 (88*2π)/5296 weeks
89-1.15912 5.7898 (89*2π)/5296 weeks
90-3.7234 1.3764 (90*2π)/5296 weeks
912.20978 -2.20572 (91*2π)/5296 weeks
924.94034 3.30735 (92*2π)/5296 weeks
931.7148 6.09023 (93*2π)/5296 weeks
94-3.52238 3.40293 (94*2π)/5296 weeks
95-1.13642 -3.64362 (95*2π)/5296 weeks
966.58536 -2.93178 (96*2π)/5296 weeks
978.6949 4.65041 (97*2π)/5295 weeks
98.56687 10.12878 (98*2π)/5295 weeks
99-7.73527 2.84169 (99*2π)/5295 weeks
100-3.14718 -8.88621 (100*2π)/5295 weeks
10110.64196 -10.18509 (101*2π)/5295 weeks
10218.50061 3.98965 (102*2π)/5295 weeks
1039.15363 16.12921 (103*2π)/5295 weeks
104-6.8205 14.01453 (104*2π)/5295 weeks
105-10.86906 -3.39077 (105*2π)/5295 weeks
1064.25185 -12.40455 (106*2π)/5295 weeks
10718.4361 -1.58652 (107*2π)/5295 weeks
10814.0152 15.84604 (108*2π)/5295 weeks
109-2.99302 19.68488 (109*2π)/5295 weeks
110-15.63659 6.41389 (110*2π)/5295 weeks
111-7.86414 -11.36688 (111*2π)/5295 weeks
11210.20308 -10.62113 (112*2π)/5295 weeks
11315.60158 4.23005 (113*2π)/5295 weeks
1145.86037 15.26318 (114*2π)/5295 weeks
115-9.15977 10.96745 (115*2π)/5295 weeks
116-10.51558 -4.755 (116*2π)/5295 weeks
1173.32715 -12.38596 (117*2π)/5295 weeks
11815.45458 -3.94825 (118*2π)/5294 weeks
11913.2669 10.42303 (119*2π)/5294 weeks
1201.22807 13.69006 (120*2π)/5294 weeks
121-6.49426 6.14076 (121*2π)/5294 weeks
122-3.38491 -2.11239 (122*2π)/5294 weeks
1232.53947 -2.79117 (123*2π)/5294 weeks
1245.56463 .24227 (124*2π)/5294 weeks
1254.86703 3.83591 (125*2π)/5294 weeks
126.9795 4.3889 (126*2π)/5294 weeks
127.00468 -.16489 (127*2π)/5294 weeks
1285.05825 -2.18195 (128*2π)/5294 weeks
1299.26556 1.41003 (129*2π)/5294 weeks
1309.31602 8.02912 (130*2π)/5294 weeks
1311.83021 13.66192 (131*2π)/5294 weeks
132-7.23386 8.92404 (132*2π)/5294 weeks
133-8.2587 -.08548 (133*2π)/5294 weeks
134-2.15918 -6.73949 (134*2π)/5294 weeks
1356.77451 -4.59512 (135*2π)/5294 weeks
1368.38582 2.5324 (136*2π)/5294 weeks
1373.35052 8.20754 (137*2π)/5294 weeks
138-4.72595 3.42721 (138*2π)/5294 weeks
139-.53166 -5.73859 (139*2π)/5294 weeks
1409.2019 -3.15236 (140*2π)/5294 weeks
14110.5822 6.95618 (141*2π)/5294 weeks
142.91959 12.87371 (142*2π)/5294 weeks
143-8.05431 5.33886 (143*2π)/5294 weeks
144-5.58838 -4.68557 (144*2π)/5294 weeks
1454.42867 -7.45227 (145*2π)/5294 weeks
14610.09857 1.27703 (146*2π)/5294 weeks
1474.23691 7.38781 (147*2π)/5294 weeks
148-1.78264 4.59414 (148*2π)/5294 weeks
149-.75781 -1.35027 (149*2π)/5294 weeks
1504.82874 -1.29997 (150*2π)/5294 weeks
1516.38432 3.65387 (151*2π)/5294 weeks
1522.76014 7.29397 (152*2π)/5293 weeks
153-3.70558 5.4678 (153*2π)/5293 weeks
154-3.20725 -1.27678 (154*2π)/5293 weeks
155.59244 -2.76271 (155*2π)/5293 weeks
1563.06743 -2.62601 (156*2π)/5293 weeks
1575.6626 -1.4707 (157*2π)/5293 weeks
1587.90674 1.837 (158*2π)/5293 weeks
1596.06812 6.58271 (159*2π)/5293 weeks
160.37255 9.04927 (160*2π)/5293 weeks
161-5.81439 3.83807 (161*2π)/5293 weeks
162-3.72368 -4.11597 (162*2π)/5293 weeks
1634.69036 -5.85256 (163*2π)/5293 weeks
1649.28617 1.93607 (164*2π)/5293 weeks
1653.52617 8.66223 (165*2π)/5293 weeks
166-5.30859 5.09273 (166*2π)/5293 weeks
167-5.14624 -4.25586 (167*2π)/5293 weeks
1684.05039 -9.27879 (168*2π)/5293 weeks
16913.23536 -1.88794 (169*2π)/5293 weeks
17011.00434 9.48045 (170*2π)/5293 weeks
171-.64449 13.94111 (171*2π)/5293 weeks
172-10.624 4.55995 (172*2π)/5293 weeks
173-6.28317 -7.92318 (173*2π)/5293 weeks
1745.78479 -10.27827 (174*2π)/5293 weeks
17513.82171 -.4364 (175*2π)/5293 weeks
1767.60521 9.86927 (176*2π)/5293 weeks
177-2.22201 8.59717 (177*2π)/5293 weeks
178-4.54251 -.38247 (178*2π)/5293 weeks
1793.01589 -4.01302 (179*2π)/5293 weeks
1807.63483 1.57524 (180*2π)/5293 weeks
1813.74948 8.24461 (181*2π)/5293 weeks
182-5.15152 6.33808 (182*2π)/5293 weeks
183-5.48072 -2.98281 (183*2π)/5293 weeks
1841.27645 -6.48027 (184*2π)/5293 weeks
1857.47764 -3.11376 (185*2π)/5293 weeks
1866.26346 2.94659 (186*2π)/5293 weeks
1873.50064 3.32179 (187*2π)/5293 weeks
1881.52666 3.51703 (188*2π)/5293 weeks
1891.48009 .52549 (189*2π)/5293 weeks
1903.57108 1.61178 (190*2π)/5293 weeks
1913.22069 3.08402 (191*2π)/5293 weeks
1921.69825 4.43613 (192*2π)/5293 weeks
193-.59663 3.05256 (193*2π)/5293 weeks
194-.11985 3.2079 (194*2π)/5293 weeks
195-3.89293 1.82373 (195*2π)/5293 weeks
196-3.05829 -2.8193 (196*2π)/5293 weeks
197.11103 -6.10848 (197*2π)/5293 weeks
1987.4531 -5.07606 (198*2π)/5293 weeks
1998.83287 3.54639 (199*2π)/5293 weeks
2001.17533 6.64488 (200*2π)/5293 weeks
201-3.8321 .47732 (201*2π)/5293 weeks
2021.7418 -6.70956 (202*2π)/5293 weeks
20311.26732 -2.13062 (203*2π)/5293 weeks
2049.73457 8.90549 (204*2π)/5293 weeks
205-1.30398 12.77541 (205*2π)/5293 weeks
206-10.91362 3.65444 (206*2π)/5293 weeks
207-5.02289 -8.62054 (207*2π)/5293 weeks
2087.07994 -7.35835 (208*2π)/5293 weeks
2099.24556 3.35908 (209*2π)/5293 weeks
210-.08844 7.05704 (210*2π)/5293 weeks
211-4.5377 -1.30873 (211*2π)/5293 weeks
2123.38528 -6.92416 (212*2π)/5292 weeks
21311.04338 -.17504 (213*2π)/5292 weeks
2147.65348 10.03667 (214*2π)/5292 weeks
215-5.08133 11.53503 (215*2π)/5292 weeks
216-11.32313 -1.35286 (216*2π)/5292 weeks
217-1.69128 -10.85392 (217*2π)/5292 weeks
2189.81426 -7.18265 (218*2π)/5292 weeks
21911.23553 5.32089 (219*2π)/5292 weeks
220.31564 9.75734 (220*2π)/5292 weeks
221-6.35188 2.7961 (221*2π)/5292 weeks
222-2.89764 -5.72709 (222*2π)/5292 weeks
2235.99313 -4.60023 (223*2π)/5292 weeks
2246.78555 2.85959 (224*2π)/5292 weeks
225.8198 6.13257 (225*2π)/5292 weeks
226-4.80169 1.54987 (226*2π)/5292 weeks
227-1.9019 -5.66943 (227*2π)/5292 weeks
2285.71553 -4.74435 (228*2π)/5292 weeks
2296.39764 1.10399 (229*2π)/5292 weeks
2303.22169 4.27639 (230*2π)/5292 weeks
231-.96775 1.36077 (231*2π)/5292 weeks
2321.33537 -1.00804 (232*2π)/5292 weeks
2333.18703 -.22934 (233*2π)/5292 weeks
2342.49466 3.02065 (234*2π)/5292 weeks
235-1.47818 1.46137 (235*2π)/5292 weeks
236-.2543 -1.87717 (236*2π)/5292 weeks
2372.03095 -1.79614 (237*2π)/5292 weeks
2382.58602 -.04688 (238*2π)/5292 weeks
239-.3465 .28394 (239*2π)/5292 weeks
240.49794 -4.30393 (240*2π)/5292 weeks
2416.56371 -4.2858 (241*2π)/5292 weeks
2429.38532 2.1899 (242*2π)/5292 weeks
2433.90835 9.56202 (243*2π)/5292 weeks
244-7.19958 7.40624 (244*2π)/5292 weeks
245-10.26288 -5.90792 (245*2π)/5292 weeks
2461.55862 -15.47915 (246*2π)/5292 weeks
24717.25125 -6.99009 (247*2π)/5292 weeks
24814.22477 11.02011 (248*2π)/5292 weeks
249-2.19412 15.5968 (249*2π)/5292 weeks
250-14.47723 3.44285 (250*2π)/5292 weeks
251-7.87251 -13.39319 (251*2π)/5292 weeks
2529.50876 -13.39147 (252*2π)/5292 weeks
25314.85655 2.02909 (253*2π)/5292 weeks
2543.66462 10.15285 (254*2π)/5292 weeks
255-6.4648 3.135 (255*2π)/5292 weeks
256-2.81882 -7.68129 (256*2π)/5292 weeks
2577.41635 -7.73329 (257*2π)/5292 weeks
25811.80193 2.2332 (258*2π)/5292 weeks
2592.71554 9.77679 (259*2π)/5292 weeks
260-6.05598 3.10566 (260*2π)/5292 weeks
261-3.46745 -5.61057 (261*2π)/5292 weeks
2623.99517 -7.21796 (262*2π)/5292 weeks
2636.84182 -2.23593 (263*2π)/5292 weeks
2645.78594 -.50534 (264*2π)/5292 weeks
2655.78594 .50534 (265*2π)/5292 weeks
2666.84182 2.23593 (266*2π)/5292 weeks
2673.99517 7.21796 (267*2π)/5292 weeks
268-3.46745 5.61057 (268*2π)/5292 weeks
269-6.05598 -3.10566 (269*2π)/5292 weeks
2702.71554 -9.77679 (270*2π)/5292 weeks
27111.80193 -2.2332 (271*2π)/5292 weeks
2727.41635 7.73329 (272*2π)/5292 weeks
273-2.81882 7.68129 (273*2π)/5292 weeks
274-6.4648 -3.135 (274*2π)/5292 weeks
2753.66462 -10.15285 (275*2π)/5292 weeks
27614.85655 -2.02909 (276*2π)/5292 weeks
2779.50876 13.39147 (277*2π)/5292 weeks
278-7.87251 13.39319 (278*2π)/5292 weeks
279-14.47723 -3.44285 (279*2π)/5292 weeks
280-2.19412 -15.5968 (280*2π)/5292 weeks
28114.22477 -11.02011 (281*2π)/5292 weeks
28217.25125 6.99009 (282*2π)/5292 weeks
2831.55862 15.47915 (283*2π)/5292 weeks
284-10.26288 5.90792 (284*2π)/5292 weeks
285-7.19958 -7.40624 (285*2π)/5292 weeks
2863.90835 -9.56202 (286*2π)/5292 weeks
2879.38532 -2.1899 (287*2π)/5292 weeks
2886.56371 4.2858 (288*2π)/5292 weeks
289.49794 4.30393 (289*2π)/5292 weeks
290-.3465 -.28394 (290*2π)/5292 weeks
2912.58602 .04688 (291*2π)/5292 weeks
2922.03095 1.79614 (292*2π)/5292 weeks
293-.2543 1.87717 (293*2π)/5292 weeks
294-1.47818 -1.46137 (294*2π)/5292 weeks
2952.49466 -3.02065 (295*2π)/5292 weeks
2963.18703 .22934 (296*2π)/5292 weeks
2971.33537 1.00804 (297*2π)/5292 weeks
298-.96775 -1.36077 (298*2π)/5292 weeks
2993.22169 -4.27639 (299*2π)/5292 weeks
3006.39764 -1.10399 (300*2π)/5292 weeks
3015.71553 4.74435 (301*2π)/5292 weeks
302-1.9019 5.66943 (302*2π)/5292 weeks
303-4.80169 -1.54987 (303*2π)/5292 weeks
304.8198 -6.13257 (304*2π)/5292 weeks
3056.78555 -2.85959 (305*2π)/5292 weeks
3065.99313 4.60023 (306*2π)/5292 weeks
307-2.89764 5.72709 (307*2π)/5292 weeks
308-6.35188 -2.7961 (308*2π)/5292 weeks
309.31564 -9.75734 (309*2π)/5292 weeks
31011.23553 -5.32089 (310*2π)/5292 weeks
3119.81426 7.18265 (311*2π)/5292 weeks
312-1.69128 10.85392 (312*2π)/5292 weeks
313-11.32313 1.35286 (313*2π)/5292 weeks
314-5.08133 -11.53503 (314*2π)/5292 weeks
3157.65348 -10.03667 (315*2π)/5292 weeks
31611.04338 .17504 (316*2π)/5292 weeks
3173.38528 6.92416 (317*2π)/5292 weeks
318-4.5377 1.30873 (318*2π)/5292 weeks
319-.08844 -7.05704 (319*2π)/5292 weeks
3209.24556 -3.35908 (320*2π)/5292 weeks
3217.07994 7.35835 (321*2π)/5292 weeks
322-5.02289 8.62054 (322*2π)/5292 weeks
323-10.91362 -3.65444 (323*2π)/5292 weeks
324-1.30398 -12.77541 (324*2π)/5292 weeks
3259.73457 -8.90549 (325*2π)/5292 weeks
32611.26732 2.13062 (326*2π)/5292 weeks
3271.7418 6.70956 (327*2π)/5292 weeks
328-3.8321 -.47732 (328*2π)/5292 weeks
3291.17533 -6.64488 (329*2π)/5292 weeks
3308.83287 -3.54639 (330*2π)/5292 weeks
3317.4531 5.07606 (331*2π)/5292 weeks
332.11103 6.10848 (332*2π)/5292 weeks
333-3.05829 2.8193 (333*2π)/5292 weeks
334-3.89293 -1.82373 (334*2π)/5292 weeks
335-.11985 -3.2079 (335*2π)/5292 weeks
336-.59663 -3.05256 (336*2π)/5292 weeks
3371.69825 -4.43613 (337*2π)/5292 weeks
3383.22069 -3.08402 (338*2π)/5292 weeks
3393.57108 -1.61178 (339*2π)/5292 weeks
3401.48009 -.52549 (340*2π)/5292 weeks
3411.52666 -3.51703 (341*2π)/5292 weeks
3423.50064 -3.32179 (342*2π)/5292 weeks
3436.26346 -2.94659 (343*2π)/5292 weeks
3447.47764 3.11376 (344*2π)/5292 weeks
3451.27645 6.48027 (345*2π)/5292 weeks
346-5.48072 2.98281 (346*2π)/5292 weeks
347-5.15152 -6.33808 (347*2π)/5292 weeks
3483.74948 -8.24461 (348*2π)/5292 weeks
3497.63483 -1.57524 (349*2π)/5292 weeks
3503.01589 4.01302 (350*2π)/5292 weeks
351-4.54251 .38247 (351*2π)/5292 weeks
352-2.22201 -8.59717 (352*2π)/5292 weeks
3537.60521 -9.86927 (353*2π)/5291 weeks
35413.82171 .4364 (354*2π)/5291 weeks
3555.78479 10.27827 (355*2π)/5291 weeks
356-6.28317 7.92318 (356*2π)/5291 weeks
357-10.624 -4.55995 (357*2π)/5291 weeks
358-.64449 -13.94111 (358*2π)/5291 weeks
35911.00434 -9.48045 (359*2π)/5291 weeks
36013.23536 1.88794 (360*2π)/5291 weeks
3614.05039 9.27879 (361*2π)/5291 weeks
362-5.14624 4.25586 (362*2π)/5291 weeks
363-5.30859 -5.09273 (363*2π)/5291 weeks
3643.52617 -8.66223 (364*2π)/5291 weeks
3659.28617 -1.93607 (365*2π)/5291 weeks
3664.69036 5.85256 (366*2π)/5291 weeks
367-3.72368 4.11597 (367*2π)/5291 weeks
368-5.81439 -3.83807 (368*2π)/5291 weeks
369.37255 -9.04927 (369*2π)/5291 weeks
3706.06812 -6.58271 (370*2π)/5291 weeks
3717.90674 -1.837 (371*2π)/5291 weeks
3725.6626 1.4707 (372*2π)/5291 weeks
3733.06743 2.62601 (373*2π)/5291 weeks
374.59244 2.76271 (374*2π)/5291 weeks
375-3.20725 1.27678 (375*2π)/5291 weeks
376-3.70558 -5.4678 (376*2π)/5291 weeks
3772.76014 -7.29397 (377*2π)/5291 weeks
3786.38432 -3.65387 (378*2π)/5291 weeks
3794.82874 1.29997 (379*2π)/5291 weeks
380-.75781 1.35027 (380*2π)/5291 weeks
381-1.78264 -4.59414 (381*2π)/5291 weeks
3824.23691 -7.38781 (382*2π)/5291 weeks
38310.09857 -1.27703 (383*2π)/5291 weeks
3844.42867 7.45227 (384*2π)/5291 weeks
385-5.58838 4.68557 (385*2π)/5291 weeks
386-8.05431 -5.33886 (386*2π)/5291 weeks
387.91959 -12.87371 (387*2π)/5291 weeks
38810.5822 -6.95618 (388*2π)/5291 weeks
3899.2019 3.15236 (389*2π)/5291 weeks
390-.53166 5.73859 (390*2π)/5291 weeks
391-4.72595 -3.42721 (391*2π)/5291 weeks
3923.35052 -8.20754 (392*2π)/5291 weeks
3938.38582 -2.5324 (393*2π)/5291 weeks
3946.77451 4.59512 (394*2π)/5291 weeks
395-2.15918 6.73949 (395*2π)/5291 weeks
396-8.2587 .08548 (396*2π)/5291 weeks
397-7.23386 -8.92404 (397*2π)/5291 weeks
3981.83021 -13.66192 (398*2π)/5291 weeks
3999.31602 -8.02912 (399*2π)/5291 weeks
4009.26556 -1.41003 (400*2π)/5291 weeks
4015.05825 2.18195 (401*2π)/5291 weeks
402.00468 .16489 (402*2π)/5291 weeks
403.9795 -4.3889 (403*2π)/5291 weeks
4044.86703 -3.83591 (404*2π)/5291 weeks
4055.56463 -.24227 (405*2π)/5291 weeks
4062.53947 2.79117 (406*2π)/5291 weeks
407-3.38491 2.11239 (407*2π)/5291 weeks
408-6.49426 -6.14076 (408*2π)/5291 weeks
4091.22807 -13.69006 (409*2π)/5291 weeks
41013.2669 -10.42303 (410*2π)/5291 weeks
41115.45458 3.94825 (411*2π)/5291 weeks
4123.32715 12.38596 (412*2π)/5291 weeks
413-10.51558 4.755 (413*2π)/5291 weeks
414-9.15977 -10.96745 (414*2π)/5291 weeks
4155.86037 -15.26318 (415*2π)/5291 weeks
41615.60158 -4.23005 (416*2π)/5291 weeks
41710.20308 10.62113 (417*2π)/5291 weeks
418-7.86414 11.36688 (418*2π)/5291 weeks
419-15.63659 -6.41389 (419*2π)/5291 weeks
420-2.99302 -19.68488 (420*2π)/5291 weeks
42114.0152 -15.84604 (421*2π)/5291 weeks
42218.4361 1.58652 (422*2π)/5291 weeks
4234.25185 12.40455 (423*2π)/5291 weeks
424-10.86906 3.39077 (424*2π)/5291 weeks
425-6.8205 -14.01453 (425*2π)/5291 weeks
4269.15363 -16.12921 (426*2π)/5291 weeks
42718.50061 -3.98965 (427*2π)/5291 weeks
42810.64196 10.18509 (428*2π)/5291 weeks
429-3.14718 8.88621 (429*2π)/5291 weeks
430-7.73527 -2.84169 (430*2π)/5291 weeks
431.56687 -10.12878 (431*2π)/5291 weeks
4328.6949 -4.65041 (432*2π)/5291 weeks
4336.58536 2.93178 (433*2π)/5291 weeks
434-1.13642 3.64362 (434*2π)/5291 weeks
435-3.52238 -3.40293 (435*2π)/5291 weeks
4361.7148 -6.09023 (436*2π)/5291 weeks
4374.94034 -3.30735 (437*2π)/5291 weeks
4382.20978 2.20572 (438*2π)/5291 weeks
439-3.7234 -1.3764 (439*2π)/5291 weeks
440-1.15912 -5.7898 (440*2π)/5291 weeks
4411.23476 -4.46447 (441*2π)/5291 weeks
442-1.35818 -3.41076 (442*2π)/5291 weeks
443-3.37936 -9.0112 (443*2π)/5291 weeks
4444.42547 -15.60445 (444*2π)/5291 weeks
44517.17191 -9.535 (445*2π)/5291 weeks
44617.98675 6.89926 (446*2π)/5291 weeks
447.01803 18.12498 (447*2π)/5291 weeks
448-18.57415 2.66487 (448*2π)/5291 weeks
449-12.17514 -18.35364 (449*2π)/5291 weeks
4509.71161 -25.02912 (450*2π)/5291 weeks
45126.41039 -4.7044 (451*2π)/5291 weeks
45213.47476 17.0624 (452*2π)/5291 weeks
453-11.07884 16.5512 (453*2π)/5291 weeks
454-20.11843 -9.12831 (454*2π)/5291 weeks
4551.69903 -21.79079 (455*2π)/5291 weeks
45615.29252 -9.53793 (456*2π)/5291 weeks
45713.70309 7.53622 (457*2π)/5291 weeks
458-6.46022 13.41955 (458*2π)/5291 weeks
459-17.16211 -5.02647 (459*2π)/5291 weeks
460-6.80968 -19.73211 (460*2π)/5291 weeks
46110.11711 -17.26221 (461*2π)/5291 weeks
46211.84966 -1.37034 (462*2π)/5291 weeks
463-1.31239 -.17943 (463*2π)/5291 weeks
464-1.71534 -11.08089 (464*2π)/5291 weeks
4659.97006 -16.38066 (465*2π)/5291 weeks
46622.42163 -.33657 (466*2π)/5291 weeks
4678.0911 17.81964 (467*2π)/5291 weeks
468-13.42277 11.97672 (468*2π)/5291 weeks
469-20.58985 -8.90347 (469*2π)/5291 weeks
470-2.5734 -24.04986 (470*2π)/5291 weeks
47112.75832 -13.58068 (471*2π)/5291 weeks
47210.36935 -.3938 (472*2π)/5291 weeks
473-.93474 .6047 (473*2π)/5291 weeks
474-2.32809 -8.80319 (474*2π)/5291 weeks
4757.17169 -10.00085 (475*2π)/5291 weeks
4767.48421 -2.12877 (476*2π)/5291 weeks
4772.02946 -.49145 (477*2π)/5291 weeks
478.09385 -4.51774 (478*2π)/5291 weeks
4793.54092 -4.41642 (479*2π)/5291 weeks
4802.18716 1.88915 (480*2π)/5291 weeks
481-7.4867 1.98748 (481*2π)/5291 weeks
482-13.96048 -9.36109 (482*2π)/5291 weeks
483-3.48579 -21.22263 (483*2π)/5291 weeks
4849.76787 -19.6385 (484*2π)/5291 weeks
48516.35807 -3.90666 (485*2π)/5291 weeks
4861.53962 6.80147 (486*2π)/5291 weeks
487-10.75644 -2.81522 (487*2π)/5291 weeks
488-8.89173 -20.38452 (488*2π)/5291 weeks
48913.8226 -20.65177 (489*2π)/5291 weeks
49014.19384 1.78414 (490*2π)/5291 weeks
491-4.83421 6.74892 (491*2π)/5291 weeks
492-18.61198 -11.47577 (492*2π)/5291 weeks
493-2.36992 -35.027 (493*2π)/5291 weeks
49432.60225 -24.43344 (494*2π)/5291 weeks
49534.96096 18.0932 (495*2π)/5291 weeks
496-9.62153 43.02032 (496*2π)/5291 weeks
497-58.08728 4.9731 (497*2π)/5291 weeks
498-38.69428 -55.58588 (498*2π)/5291 weeks
49920.42399 -61.44158 (499*2π)/5291 weeks
50049.81676 -12.43934 (500*2π)/5291 weeks
50115.36704 28.55156 (501*2π)/5291 weeks
502-27.87956 10.47125 (502*2π)/5291 weeks
503-29.80246 -27.1671 (503*2π)/5291 weeks
5041.23195 -45.13733 (504*2π)/5291 weeks
50518.09477 -19.22789 (505*2π)/5291 weeks
506-1.05537 -10.68323 (506*2π)/5291 weeks
507-7.94808 -29.6321 (507*2π)/5291 weeks
50818.96276 -39.5948 (508*2π)/5291 weeks
50936.23227 -12.01268 (509*2π)/5291 weeks
51013.06628 16.17976 (510*2π)/5291 weeks
511-24.22894 1.76145 (511*2π)/5291 weeks
512-24.56469 -34.16726 (512*2π)/5291 weeks
5135.72244 -53.79076 (513*2π)/5291 weeks
51435.29932 -23.8841 (514*2π)/5291 weeks
5158.36828 6.59179 (515*2π)/5291 weeks
516-31.54559 -9.9378 (516*2π)/5291 weeks
517-26.26341 -68.74166 (517*2π)/5291 weeks
51844.71323 -69.66838 (518*2π)/5291 weeks
51949.40964 -7.13749 (519*2π)/5291 weeks
5203.29104 20.5735 (520*2π)/5291 weeks
521-65.52276 -24.10035 (521*2π)/5291 weeks
522-17.06883 -120.5138 (522*2π)/5291 weeks
52384.19683 -80.28622 (523*2π)/5291 weeks
52459.31007 39.95466 (524*2π)/5291 weeks
525-114.1181 60.29792 (525*2π)/5291 weeks
526-252.2137 -181.1605 (526*2π)/5291 weeks
527-50.6776 -482.7386 (527*2π)/5291 weeks

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