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Fourier Analysis of SSG (ProShares UltraShort Semiconduc)


SSG (ProShares UltraShort Semiconduc) appears to have interesting cyclic behaviour every 43 weeks (98.948*sine), 47 weeks (77.1609*cosine), and 47 weeks (65.6422*sine).

SSG (ProShares UltraShort Semiconduc) has an average price of 455.39 (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 2/1/2007 to 1/17/2017 for SSG (ProShares UltraShort Semiconduc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0455.3914   0 
1237.2901 506.725 (1*2π)/521521 weeks
2-100.5256 339.1353 (2*2π)/521261 weeks
3-155.6902 49.39331 (3*2π)/521174 weeks
4-15.96925 -59.86617 (4*2π)/521130 weeks
5109.6007 5.83309 (5*2π)/521104 weeks
675.88792 117.0631 (6*2π)/52187 weeks
7-30.27337 121.9084 (7*2π)/52174 weeks
8-64.78602 12.95734 (8*2π)/52165 weeks
95.14709 -23.80966 (9*2π)/52158 weeks
1060.56014 -11.87172 (10*2π)/52152 weeks
1177.16094 65.6422 (11*2π)/52147 weeks
128.83707 98.94796 (12*2π)/52143 weeks
13-35.94926 60.07076 (13*2π)/52140 weeks
14-36.3465 19.66732 (14*2π)/52137 weeks
15-12.14955 -7.00807 (15*2π)/52135 weeks
1614.43691 -3.94336 (16*2π)/52133 weeks
1730.16868 21.66146 (17*2π)/52131 weeks
187.64342 37.88674 (18*2π)/52129 weeks
19-4.10256 26.89378 (19*2π)/52127 weeks
20-4.11641 16.07273 (20*2π)/52126 weeks
215.50287 11.41777 (21*2π)/52125 weeks
2216.3052 16.38135 (22*2π)/52124 weeks
234.61951 32.55668 (23*2π)/52123 weeks
24-5.77932 26.26064 (24*2π)/52122 weeks
25-18.23171 20.7557 (25*2π)/52121 weeks
26-10.82468 2.13628 (26*2π)/52120 weeks
27-.60901 -5.18212 (27*2π)/52119 weeks
2819.91922 .04799 (28*2π)/52119 weeks
2923.58508 23.93737 (29*2π)/52118 weeks
302.04459 37.01025 (30*2π)/52117 weeks
31-22.1925 24.77137 (31*2π)/52117 weeks
32-19.60508 -7.61476 (32*2π)/52116 weeks
3310.79214 -9.47043 (33*2π)/52116 weeks
3417.13623 10.51434 (34*2π)/52115 weeks
357.7433 21.45009 (35*2π)/52115 weeks
36-5.73486 19.27929 (36*2π)/52114 weeks
37-10.35626 8.34192 (37*2π)/52114 weeks
38-2.61517 -3.73122 (38*2π)/52114 weeks
3913.39896 4.17893 (39*2π)/52113 weeks
406.33542 15.6639 (40*2π)/52113 weeks
41-.43724 11.68948 (41*2π)/52113 weeks
42-1.8592 7.12632 (42*2π)/52112 weeks
435.68291 6.65024 (43*2π)/52112 weeks
443.62594 16.50193 (44*2π)/52112 weeks
45-6.502 12.81357 (45*2π)/52112 weeks
46-10.31409 6.99853 (46*2π)/52111 weeks
47-5.84263 -2.65255 (47*2π)/52111 weeks
483.85578 -2.05303 (48*2π)/52111 weeks
495.43891 3.81314 (49*2π)/52111 weeks
503.56686 5.80714 (50*2π)/52110 weeks
51.06863 6.07862 (51*2π)/52110 weeks
52.42285 -1.0315 (52*2π)/52110 weeks
5310.31768 1.55259 (53*2π)/52110 weeks
545.72017 8.22978 (54*2π)/52110 weeks
553.34345 9.04812 (55*2π)/5219 weeks
56.54714 6.2085 (56*2π)/5219 weeks
572.09582 5.74036 (57*2π)/5219 weeks
58.35544 6.41298 (58*2π)/5219 weeks
59-2.55799 2.11854 (59*2π)/5219 weeks
602.49489 -2.23429 (60*2π)/5219 weeks
619.99828 -.99797 (61*2π)/5219 weeks
6210.9154 8.55596 (62*2π)/5218 weeks
632.69289 10.96376 (63*2π)/5218 weeks
641.28709 7.0193 (64*2π)/5218 weeks
651.06552 3.3226 (65*2π)/5218 weeks
668.73315 4.59238 (66*2π)/5218 weeks
675.85875 14.05717 (67*2π)/5218 weeks
68-6.23314 13.55679 (68*2π)/5218 weeks
69-9.47055 .3569 (69*2π)/5218 weeks
702.2035 -6.76888 (70*2π)/5217 weeks
719.70426 .95112 (71*2π)/5217 weeks
726.72838 7.02183 (72*2π)/5217 weeks
732.72249 10.51307 (73*2π)/5217 weeks
74-4.57635 4.97763 (74*2π)/5217 weeks
751.38064 -3.00311 (75*2π)/5217 weeks
768.97663 .44324 (76*2π)/5217 weeks
7710.68891 9.59049 (77*2π)/5217 weeks
78.00642 14.13126 (78*2π)/5217 weeks
79-6.02424 9.12944 (79*2π)/5217 weeks
80-8.8976 -1.58164 (80*2π)/5217 weeks
812.73554 -7.48638 (81*2π)/5216 weeks
8212.40442 -1.65726 (82*2π)/5216 weeks
8310.79441 11.5011 (83*2π)/5216 weeks
84-1.36959 12.94557 (84*2π)/5216 weeks
85-6.85332 3.27615 (85*2π)/5216 weeks
86.36552 -3.95248 (86*2π)/5216 weeks
878.15031 .06198 (87*2π)/5216 weeks
886.26279 8.83889 (88*2π)/5216 weeks
89-1.66594 7.66803 (89*2π)/5216 weeks
90-2.11161 3.97594 (90*2π)/5216 weeks
91-1.81678 .68235 (91*2π)/5216 weeks
92-.45072 -.10631 (92*2π)/5216 weeks
931.73181 -3.64512 (93*2π)/5216 weeks
948.0242 -1.57062 (94*2π)/5216 weeks
958.51137 5.49758 (95*2π)/5215 weeks
963.54108 8.3426 (96*2π)/5215 weeks
97-1.6714 5.61182 (97*2π)/5215 weeks
98-1.96209 -.91707 (98*2π)/5215 weeks
994.08634 -4.04974 (99*2π)/5215 weeks
10011.48676 1.71679 (100*2π)/5215 weeks
1016.81449 9.75459 (101*2π)/5215 weeks
102-1.37657 10.52054 (102*2π)/5215 weeks
103-6.79972 3.34932 (103*2π)/5215 weeks
104-1.68827 -6.3473 (104*2π)/5215 weeks
10510.48785 -4.80518 (105*2π)/5215 weeks
10612.22833 5.73965 (106*2π)/5215 weeks
1075.19499 12.81725 (107*2π)/5215 weeks
108-5.52693 10.59627 (108*2π)/5215 weeks
109-7.71384 -1.98128 (109*2π)/5215 weeks
1103.12481 -6.66024 (110*2π)/5215 weeks
1119.27017 .48494 (111*2π)/5215 weeks
1125.856 7.2151 (112*2π)/5215 weeks
113-.27204 6.35235 (113*2π)/5215 weeks
114-2.02238 1.74753 (114*2π)/5215 weeks
1151.00242 -3.809 (115*2π)/5215 weeks
1168.50131 -1.30613 (116*2π)/5214 weeks
1178.54027 6.75314 (117*2π)/5214 weeks
118.61133 7.50298 (118*2π)/5214 weeks
119-1.74763 2.76641 (119*2π)/5214 weeks
1201.22454 -.77001 (120*2π)/5214 weeks
1214.12072 .87768 (121*2π)/5214 weeks
1224.87685 2.83386 (122*2π)/5214 weeks
1232.83049 4.21687 (123*2π)/5214 weeks
124.58058 3.08851 (124*2π)/5214 weeks
1251.38213 -.96031 (125*2π)/5214 weeks
1266.9623 -.79957 (126*2π)/5214 weeks
1277.79175 4.65512 (127*2π)/5214 weeks
1284.28135 7.11936 (128*2π)/5214 weeks
129-.36578 6.8331 (129*2π)/5214 weeks
130-1.00961 1.63488 (130*2π)/5214 weeks
1313.2763 1.95103 (131*2π)/5214 weeks
1321.81405 3.8576 (132*2π)/5214 weeks
133.39794 2.65987 (133*2π)/5214 weeks
1341.27214 -.37404 (134*2π)/5214 weeks
1355.99884 1.55131 (135*2π)/5214 weeks
1362.94204 5.13241 (136*2π)/5214 weeks
137.64909 3.38248 (137*2π)/5214 weeks
138.49226 1.43084 (138*2π)/5214 weeks
1393.06161 .83397 (139*2π)/5214 weeks
1403.21147 3.30424 (140*2π)/5214 weeks
1412.20789 3.49743 (141*2π)/5214 weeks
142-.31607 3.52583 (142*2π)/5214 weeks
143.52866 -.35944 (143*2π)/5214 weeks
1442.48726 .79057 (144*2π)/5214 weeks
1453.56306 -.14523 (145*2π)/5214 weeks
1464.46966 2.8091 (146*2π)/5214 weeks
1472.56746 3.05785 (147*2π)/5214 weeks
1481.93586 1.99833 (148*2π)/5214 weeks
1493.00774 1.13527 (149*2π)/5213 weeks
1504.97113 3.50334 (150*2π)/5213 weeks
1511.40568 5.13842 (151*2π)/5213 weeks
152.94828 3.37079 (152*2π)/5213 weeks
153.07083 2.82324 (153*2π)/5213 weeks
154.24303 .6216 (154*2π)/5213 weeks
1552.59551 -.63377 (155*2π)/5213 weeks
1564.6089 2.73768 (156*2π)/5213 weeks
1572.32862 4.38903 (157*2π)/5213 weeks
158-.82918 4.44247 (158*2π)/5213 weeks
159-2.51934 .07176 (159*2π)/5213 weeks
1601.65543 -2.80748 (160*2π)/5213 weeks
1615.02773 -.29385 (161*2π)/5213 weeks
1624.32529 2.66505 (162*2π)/5213 weeks
1632.73616 3.81518 (163*2π)/5213 weeks
164.20914 3.6899 (164*2π)/5213 weeks
165-1.244 -.00315 (165*2π)/5213 weeks
1662.8974 -3.05459 (166*2π)/5213 weeks
1676.78721 .41019 (167*2π)/5213 weeks
1685.66076 4.83264 (168*2π)/5213 weeks
1691.50719 6.9383 (169*2π)/5213 weeks
170-2.4871 4.13875 (170*2π)/5213 weeks
171-2.28097 -.78242 (171*2π)/5213 weeks
1721.76096 -2.86289 (172*2π)/5213 weeks
1735.22149 -.31602 (173*2π)/5213 weeks
1745.10203 2.75969 (174*2π)/5213 weeks
1752.4139 4.12879 (175*2π)/5213 weeks
1761.19354 3.66451 (176*2π)/5213 weeks
177-.71908 1.72582 (177*2π)/5213 weeks
1781.34535 .6084 (178*2π)/5213 weeks
1791.5911 .85147 (179*2π)/5213 weeks
1802.55739 1.64588 (180*2π)/5213 weeks
181.56379 2.76925 (181*2π)/5213 weeks
182-.33015 .24153 (182*2π)/5213 weeks
183.56161 -1.65815 (183*2π)/5213 weeks
1845.24515 -2.44499 (184*2π)/5213 weeks
1856.8536 4.28267 (185*2π)/5213 weeks
1861.19524 6.19933 (186*2π)/5213 weeks
187-2.32113 3.70626 (187*2π)/5213 weeks
188-2.0585 -1.3303 (188*2π)/5213 weeks
1892.12843 -1.7834 (189*2π)/5213 weeks
1902.75828 -.36263 (190*2π)/5213 weeks
1914.25153 2.84099 (191*2π)/5213 weeks
192-1.18518 3.39625 (192*2π)/5213 weeks
193-1.52582 -.23397 (193*2π)/5213 weeks
194-.55832 -3.78254 (194*2π)/5213 weeks
1955.45646 -4.04307 (195*2π)/5213 weeks
1967.76486 2.05905 (196*2π)/5213 weeks
1972.8002 5.7878 (197*2π)/5213 weeks
198-2.49971 3.21731 (198*2π)/5213 weeks
199-.74396 -3.06715 (199*2π)/5213 weeks
2004.41833 -2.18213 (200*2π)/5213 weeks
2015.63865 1.45363 (201*2π)/5213 weeks
2022.91263 5.08557 (202*2π)/5213 weeks
203-2.67345 2.34234 (203*2π)/5213 weeks
204-1.09022 -2.89547 (204*2π)/5213 weeks
2054.3158 -3.8214 (205*2π)/5213 weeks
2066.89376 1.55227 (206*2π)/5213 weeks
2072.60614 4.77737 (207*2π)/5213 weeks
208-.14532 1.13435 (208*2π)/5213 weeks
2092.41205 -.48371 (209*2π)/5212 weeks
2103.58892 1.46009 (210*2π)/5212 weeks
2112.53123 4.02814 (211*2π)/5212 weeks
212-1.74702 3.71253 (212*2π)/5212 weeks
213-2.87982 -1.41958 (213*2π)/5212 weeks
2141.34703 -3.22965 (214*2π)/5212 weeks
2154.67135 -2.15555 (215*2π)/5212 weeks
2164.6642 2.44442 (216*2π)/5212 weeks
2171.0294 3.23413 (217*2π)/5212 weeks
218-1.24485 .94344 (218*2π)/5212 weeks
219-.27028 -2.7522 (219*2π)/5212 weeks
2204.47539 -2.47168 (220*2π)/5212 weeks
2215.08254 2.52986 (221*2π)/5212 weeks
222.54453 4.66384 (222*2π)/5212 weeks
223-3.19883 .37553 (223*2π)/5212 weeks
224-.65051 -3.9328 (224*2π)/5212 weeks
2253.51646 -3.84555 (225*2π)/5212 weeks
2266.64934 -.87278 (226*2π)/5212 weeks
2273.39842 4.12283 (227*2π)/5212 weeks
228.09082 1.67674 (228*2π)/5212 weeks
229-.32907 -.24061 (229*2π)/5212 weeks
2301.67904 -1.60536 (230*2π)/5212 weeks
2312.38729 -1.08889 (231*2π)/5212 weeks
2323.08735 -.84045 (232*2π)/5212 weeks
2333.36902 .95842 (233*2π)/5212 weeks
2341.14876 1.24581 (234*2π)/5212 weeks
235.50409 .10296 (235*2π)/5212 weeks
236.97032 -2.36225 (236*2π)/5212 weeks
2374.28673 -3.26792 (237*2π)/5212 weeks
2386.98617 1.44129 (238*2π)/5212 weeks
2392.77363 5.38853 (239*2π)/5212 weeks
240-2.67955 3.66413 (240*2π)/5212 weeks
241-4.89542 -2.68705 (241*2π)/5212 weeks
242.71683 -7.80233 (242*2π)/5212 weeks
2438.40997 -5.58283 (243*2π)/5212 weeks
2449.04988 2.95581 (244*2π)/5212 weeks
2451.85018 5.97597 (245*2π)/5212 weeks
246-2.46001 1.78294 (246*2π)/5212 weeks
247-1.2503 -3.53105 (247*2π)/5212 weeks
2483.72607 -4.96907 (248*2π)/5212 weeks
2497.60881 -.29464 (249*2π)/5212 weeks
2504.04823 3.51629 (250*2π)/5212 weeks
251-.12815 3.04784 (251*2π)/5212 weeks
252-1.70382 -1.68115 (252*2π)/5212 weeks
2531.00234 -4.59189 (253*2π)/5212 weeks
2546.61181 -3.71766 (254*2π)/5212 weeks
2556.78059 2.97135 (255*2π)/5212 weeks
256.63775 3.37766 (256*2π)/5212 weeks
257-.43924 -.75353 (257*2π)/5212 weeks
2581.17398 -3.74371 (258*2π)/5212 weeks
2594.23071 -3.64493 (259*2π)/5212 weeks
2607.11704 -2.4211 (260*2π)/5212 weeks
2617.11704 2.4211 (261*2π)/5212 weeks
2624.23071 3.64493 (262*2π)/5212 weeks
2631.17398 3.74371 (263*2π)/5212 weeks
264-.43924 .75353 (264*2π)/5212 weeks
265.63775 -3.37766 (265*2π)/5212 weeks
2666.78059 -2.97135 (266*2π)/5212 weeks
2676.61181 3.71766 (267*2π)/5212 weeks
2681.00234 4.59189 (268*2π)/5212 weeks
269-1.70382 1.68115 (269*2π)/5212 weeks
270-.12815 -3.04784 (270*2π)/5212 weeks
2714.04823 -3.51629 (271*2π)/5212 weeks
2727.60881 .29464 (272*2π)/5212 weeks
2733.72607 4.96907 (273*2π)/5212 weeks
274-1.2503 3.53105 (274*2π)/5212 weeks
275-2.46001 -1.78294 (275*2π)/5212 weeks
2761.85018 -5.97597 (276*2π)/5212 weeks
2779.04988 -2.95581 (277*2π)/5212 weeks
2788.40997 5.58283 (278*2π)/5212 weeks
279.71683 7.80233 (279*2π)/5212 weeks
280-4.89542 2.68705 (280*2π)/5212 weeks
281-2.67955 -3.66413 (281*2π)/5212 weeks
2822.77363 -5.38853 (282*2π)/5212 weeks
2836.98617 -1.44129 (283*2π)/5212 weeks
2844.28673 3.26792 (284*2π)/5212 weeks
285.97032 2.36225 (285*2π)/5212 weeks
286.50409 -.10296 (286*2π)/5212 weeks
2871.14876 -1.24581 (287*2π)/5212 weeks
2883.36902 -.95842 (288*2π)/5212 weeks
2893.08735 .84045 (289*2π)/5212 weeks
2902.38729 1.08889 (290*2π)/5212 weeks
2911.67904 1.60536 (291*2π)/5212 weeks
292-.32907 .24061 (292*2π)/5212 weeks
293.09082 -1.67674 (293*2π)/5212 weeks
2943.39842 -4.12283 (294*2π)/5212 weeks
2956.64934 .87278 (295*2π)/5212 weeks
2963.51646 3.84555 (296*2π)/5212 weeks
297-.65051 3.9328 (297*2π)/5212 weeks
298-3.19883 -.37553 (298*2π)/5212 weeks
299.54453 -4.66384 (299*2π)/5212 weeks
3005.08254 -2.52986 (300*2π)/5212 weeks
3014.47539 2.47168 (301*2π)/5212 weeks
302-.27028 2.7522 (302*2π)/5212 weeks
303-1.24485 -.94344 (303*2π)/5212 weeks
3041.0294 -3.23413 (304*2π)/5212 weeks
3054.6642 -2.44442 (305*2π)/5212 weeks
3064.67135 2.15555 (306*2π)/5212 weeks
3071.34703 3.22965 (307*2π)/5212 weeks
308-2.87982 1.41958 (308*2π)/5212 weeks
309-1.74702 -3.71253 (309*2π)/5212 weeks
3102.53123 -4.02814 (310*2π)/5212 weeks
3113.58892 -1.46009 (311*2π)/5212 weeks
3122.41205 .48371 (312*2π)/5212 weeks
313-.14532 -1.13435 (313*2π)/5212 weeks
3142.60614 -4.77737 (314*2π)/5212 weeks
3156.89376 -1.55227 (315*2π)/5212 weeks
3164.3158 3.8214 (316*2π)/5212 weeks
317-1.09022 2.89547 (317*2π)/5212 weeks
318-2.67345 -2.34234 (318*2π)/5212 weeks
3192.91263 -5.08557 (319*2π)/5212 weeks
3205.63865 -1.45363 (320*2π)/5212 weeks
3214.41833 2.18213 (321*2π)/5212 weeks
322-.74396 3.06715 (322*2π)/5212 weeks
323-2.49971 -3.21731 (323*2π)/5212 weeks
3242.8002 -5.7878 (324*2π)/5212 weeks
3257.76486 -2.05905 (325*2π)/5212 weeks
3265.45646 4.04307 (326*2π)/5212 weeks
327-.55832 3.78254 (327*2π)/5212 weeks
328-1.52582 .23397 (328*2π)/5212 weeks
329-1.18518 -3.39625 (329*2π)/5212 weeks
3304.25153 -2.84099 (330*2π)/5212 weeks
3312.75828 .36263 (331*2π)/5212 weeks
3322.12843 1.7834 (332*2π)/5212 weeks
333-2.0585 1.3303 (333*2π)/5212 weeks
334-2.32113 -3.70626 (334*2π)/5212 weeks
3351.19524 -6.19933 (335*2π)/5212 weeks
3366.8536 -4.28267 (336*2π)/5212 weeks
3375.24515 2.44499 (337*2π)/5212 weeks
338.56161 1.65815 (338*2π)/5212 weeks
339-.33015 -.24153 (339*2π)/5212 weeks
340.56379 -2.76925 (340*2π)/5212 weeks
3412.55739 -1.64588 (341*2π)/5212 weeks
3421.5911 -.85147 (342*2π)/5212 weeks
3431.34535 -.6084 (343*2π)/5212 weeks
344-.71908 -1.72582 (344*2π)/5212 weeks
3451.19354 -3.66451 (345*2π)/5212 weeks
3462.4139 -4.12879 (346*2π)/5212 weeks
3475.10203 -2.75969 (347*2π)/5212 weeks
3485.22149 .31602 (348*2π)/5211 weeks
3491.76096 2.86289 (349*2π)/5211 weeks
350-2.28097 .78242 (350*2π)/5211 weeks
351-2.4871 -4.13875 (351*2π)/5211 weeks
3521.50719 -6.9383 (352*2π)/5211 weeks
3535.66076 -4.83264 (353*2π)/5211 weeks
3546.78721 -.41019 (354*2π)/5211 weeks
3552.8974 3.05459 (355*2π)/5211 weeks
356-1.244 .00315 (356*2π)/5211 weeks
357.20914 -3.6899 (357*2π)/5211 weeks
3582.73616 -3.81518 (358*2π)/5211 weeks
3594.32529 -2.66505 (359*2π)/5211 weeks
3605.02773 .29385 (360*2π)/5211 weeks
3611.65543 2.80748 (361*2π)/5211 weeks
362-2.51934 -.07176 (362*2π)/5211 weeks
363-.82918 -4.44247 (363*2π)/5211 weeks
3642.32862 -4.38903 (364*2π)/5211 weeks
3654.6089 -2.73768 (365*2π)/5211 weeks
3662.59551 .63377 (366*2π)/5211 weeks
367.24303 -.6216 (367*2π)/5211 weeks
368.07083 -2.82324 (368*2π)/5211 weeks
369.94828 -3.37079 (369*2π)/5211 weeks
3701.40568 -5.13842 (370*2π)/5211 weeks
3714.97113 -3.50334 (371*2π)/5211 weeks
3723.00774 -1.13527 (372*2π)/5211 weeks
3731.93586 -1.99833 (373*2π)/5211 weeks
3742.56746 -3.05785 (374*2π)/5211 weeks
3754.46966 -2.8091 (375*2π)/5211 weeks
3763.56306 .14523 (376*2π)/5211 weeks
3772.48726 -.79057 (377*2π)/5211 weeks
378.52866 .35944 (378*2π)/5211 weeks
379-.31607 -3.52583 (379*2π)/5211 weeks
3802.20789 -3.49743 (380*2π)/5211 weeks
3813.21147 -3.30424 (381*2π)/5211 weeks
3823.06161 -.83397 (382*2π)/5211 weeks
383.49226 -1.43084 (383*2π)/5211 weeks
384.64909 -3.38248 (384*2π)/5211 weeks
3852.94204 -5.13241 (385*2π)/5211 weeks
3865.99884 -1.55131 (386*2π)/5211 weeks
3871.27214 .37404 (387*2π)/5211 weeks
388.39794 -2.65987 (388*2π)/5211 weeks
3891.81405 -3.8576 (389*2π)/5211 weeks
3903.2763 -1.95103 (390*2π)/5211 weeks
391-1.00961 -1.63488 (391*2π)/5211 weeks
392-.36578 -6.8331 (392*2π)/5211 weeks
3934.28135 -7.11936 (393*2π)/5211 weeks
3947.79175 -4.65512 (394*2π)/5211 weeks
3956.9623 .79957 (395*2π)/5211 weeks
3961.38213 .96031 (396*2π)/5211 weeks
397.58058 -3.08851 (397*2π)/5211 weeks
3982.83049 -4.21687 (398*2π)/5211 weeks
3994.87685 -2.83386 (399*2π)/5211 weeks
4004.12072 -.87768 (400*2π)/5211 weeks
4011.22454 .77001 (401*2π)/5211 weeks
402-1.74763 -2.76641 (402*2π)/5211 weeks
403.61133 -7.50298 (403*2π)/5211 weeks
4048.54027 -6.75314 (404*2π)/5211 weeks
4058.50131 1.30613 (405*2π)/5211 weeks
4061.00242 3.809 (406*2π)/5211 weeks
407-2.02238 -1.74753 (407*2π)/5211 weeks
408-.27204 -6.35235 (408*2π)/5211 weeks
4095.856 -7.2151 (409*2π)/5211 weeks
4109.27017 -.48494 (410*2π)/5211 weeks
4113.12481 6.66024 (411*2π)/5211 weeks
412-7.71384 1.98128 (412*2π)/5211 weeks
413-5.52693 -10.59627 (413*2π)/5211 weeks
4145.19499 -12.81725 (414*2π)/5211 weeks
41512.22833 -5.73965 (415*2π)/5211 weeks
41610.48785 4.80518 (416*2π)/5211 weeks
417-1.68827 6.3473 (417*2π)/5211 weeks
418-6.79972 -3.34932 (418*2π)/5211 weeks
419-1.37657 -10.52054 (419*2π)/5211 weeks
4206.81449 -9.75459 (420*2π)/5211 weeks
42111.48676 -1.71679 (421*2π)/5211 weeks
4224.08634 4.04974 (422*2π)/5211 weeks
423-1.96209 .91707 (423*2π)/5211 weeks
424-1.6714 -5.61182 (424*2π)/5211 weeks
4253.54108 -8.3426 (425*2π)/5211 weeks
4268.51137 -5.49758 (426*2π)/5211 weeks
4278.0242 1.57062 (427*2π)/5211 weeks
4281.73181 3.64512 (428*2π)/5211 weeks
429-.45072 .10631 (429*2π)/5211 weeks
430-1.81678 -.68235 (430*2π)/5211 weeks
431-2.11161 -3.97594 (431*2π)/5211 weeks
432-1.66594 -7.66803 (432*2π)/5211 weeks
4336.26279 -8.83889 (433*2π)/5211 weeks
4348.15031 -.06198 (434*2π)/5211 weeks
435.36552 3.95248 (435*2π)/5211 weeks
436-6.85332 -3.27615 (436*2π)/5211 weeks
437-1.36959 -12.94557 (437*2π)/5211 weeks
43810.79441 -11.5011 (438*2π)/5211 weeks
43912.40442 1.65726 (439*2π)/5211 weeks
4402.73554 7.48638 (440*2π)/5211 weeks
441-8.8976 1.58164 (441*2π)/5211 weeks
442-6.02424 -9.12944 (442*2π)/5211 weeks
443.00642 -14.13126 (443*2π)/5211 weeks
44410.68891 -9.59049 (444*2π)/5211 weeks
4458.97663 -.44324 (445*2π)/5211 weeks
4461.38064 3.00311 (446*2π)/5211 weeks
447-4.57635 -4.97763 (447*2π)/5211 weeks
4482.72249 -10.51307 (448*2π)/5211 weeks
4496.72838 -7.02183 (449*2π)/5211 weeks
4509.70426 -.95112 (450*2π)/5211 weeks
4512.2035 6.76888 (451*2π)/5211 weeks
452-9.47055 -.3569 (452*2π)/5211 weeks
453-6.23314 -13.55679 (453*2π)/5211 weeks
4545.85875 -14.05717 (454*2π)/5211 weeks
4558.73315 -4.59238 (455*2π)/5211 weeks
4561.06552 -3.3226 (456*2π)/5211 weeks
4571.28709 -7.0193 (457*2π)/5211 weeks
4582.69289 -10.96376 (458*2π)/5211 weeks
45910.9154 -8.55596 (459*2π)/5211 weeks
4609.99828 .99797 (460*2π)/5211 weeks
4612.49489 2.23429 (461*2π)/5211 weeks
462-2.55799 -2.11854 (462*2π)/5211 weeks
463.35544 -6.41298 (463*2π)/5211 weeks
4642.09582 -5.74036 (464*2π)/5211 weeks
465.54714 -6.2085 (465*2π)/5211 weeks
4663.34345 -9.04812 (466*2π)/5211 weeks
4675.72017 -8.22978 (467*2π)/5211 weeks
46810.31768 -1.55259 (468*2π)/5211 weeks
469.42285 1.0315 (469*2π)/5211 weeks
470.06863 -6.07862 (470*2π)/5211 weeks
4713.56686 -5.80714 (471*2π)/5211 weeks
4725.43891 -3.81314 (472*2π)/5211 weeks
4733.85578 2.05303 (473*2π)/5211 weeks
474-5.84263 2.65255 (474*2π)/5211 weeks
475-10.31409 -6.99853 (475*2π)/5211 weeks
476-6.502 -12.81357 (476*2π)/5211 weeks
4773.62594 -16.50193 (477*2π)/5211 weeks
4785.68291 -6.65024 (478*2π)/5211 weeks
479-1.8592 -7.12632 (479*2π)/5211 weeks
480-.43724 -11.68948 (480*2π)/5211 weeks
4816.33542 -15.6639 (481*2π)/5211 weeks
48213.39896 -4.17893 (482*2π)/5211 weeks
483-2.61517 3.73122 (483*2π)/5211 weeks
484-10.35626 -8.34192 (484*2π)/5211 weeks
485-5.73486 -19.27929 (485*2π)/5211 weeks
4867.7433 -21.45009 (486*2π)/5211 weeks
48717.13623 -10.51434 (487*2π)/5211 weeks
48810.79214 9.47043 (488*2π)/5211 weeks
489-19.60508 7.61476 (489*2π)/5211 weeks
490-22.1925 -24.77137 (490*2π)/5211 weeks
4912.04459 -37.01025 (491*2π)/5211 weeks
49223.58508 -23.93737 (492*2π)/5211 weeks
49319.91922 -.04799 (493*2π)/5211 weeks
494-.60901 5.18212 (494*2π)/5211 weeks
495-10.82468 -2.13628 (495*2π)/5211 weeks
496-18.23171 -20.7557 (496*2π)/5211 weeks
497-5.77932 -26.26064 (497*2π)/5211 weeks
4984.61951 -32.55668 (498*2π)/5211 weeks
49916.3052 -16.38135 (499*2π)/5211 weeks
5005.50287 -11.41777 (500*2π)/5211 weeks
501-4.11641 -16.07273 (501*2π)/5211 weeks
502-4.10256 -26.89378 (502*2π)/5211 weeks
5037.64342 -37.88674 (503*2π)/5211 weeks
50430.16868 -21.66146 (504*2π)/5211 weeks
50514.43691 3.94336 (505*2π)/5211 weeks
506-12.14955 7.00807 (506*2π)/5211 weeks
507-36.3465 -19.66732 (507*2π)/5211 weeks
508-35.94926 -60.07076 (508*2π)/5211 weeks
5098.83707 -98.94796 (509*2π)/5211 weeks
51077.16094 -65.6422 (510*2π)/5211 weeks
51160.56014 11.87172 (511*2π)/5211 weeks
5125.14709 23.80966 (512*2π)/5211 weeks
513-64.78602 -12.95734 (513*2π)/5211 weeks
514-30.27337 -121.9084 (514*2π)/5211 weeks
51575.88792 -117.0631 (515*2π)/5211 weeks
516109.6007 -5.83309 (516*2π)/5211 weeks
517-15.96925 59.86617 (517*2π)/5211 weeks
518-155.6902 -49.39331 (518*2π)/5211 weeks
519-100.5256 -339.1353 (519*2π)/5211 weeks

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