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Fourier Analysis of SSG (ProShares UltraShort Semiconduc)


SSG (ProShares UltraShort Semiconduc) appears to have interesting cyclic behaviour every 44 weeks (97.811*sine), 48 weeks (81.9887*cosine), and 48 weeks (49.3565*sine).

SSG (ProShares UltraShort Semiconduc) has an average price of 447.99 (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 3/20/2017 for SSG (ProShares UltraShort Semiconduc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0447.9853   0 
1241.8158 500.2726 (1*2π)/530530 weeks
2-90.76625 341.7807 (2*2π)/530265 weeks
3-159.1219 59.99229 (3*2π)/530177 weeks
4-26.49368 -55.64994 (4*2π)/530133 weeks
5103.2253 -4.21563 (5*2π)/530106 weeks
684.12814 108.3948 (6*2π)/53088 weeks
7-16.75346 125.7897 (7*2π)/53076 weeks
8-69.5108 27.44294 (8*2π)/53066 weeks
9-3.32183 -23.50732 (9*2π)/53059 weeks
1049.00954 -17.37112 (10*2π)/53053 weeks
1181.98872 49.3565 (11*2π)/53048 weeks
1223.99335 97.811 (12*2π)/53044 weeks
13-30.85963 68.92872 (13*2π)/53041 weeks
14-38.1289 27.48632 (14*2π)/53038 weeks
15-20.95449 -2.94745 (15*2π)/53035 weeks
167.71307 -5.16427 (16*2π)/53033 weeks
1729.30964 11.79999 (17*2π)/53031 weeks
1815.85077 37.3272 (18*2π)/53029 weeks
19-1.95871 30.0016 (19*2π)/53028 weeks
20-4.77731 19.1943 (20*2π)/53027 weeks
211.75977 10.64923 (21*2π)/53025 weeks
2210.48431 11.8641 (22*2π)/53024 weeks
2312.41857 29.97642 (23*2π)/53023 weeks
24-3.52394 29.04255 (24*2π)/53022 weeks
25-9.93294 26.18865 (25*2π)/53021 weeks
26-16.24123 6.47666 (26*2π)/53020 weeks
27-5.83661 -1.483 (27*2π)/53020 weeks
2810.28343 -6.42129 (28*2π)/53019 weeks
2924.497 10.52062 (29*2π)/53018 weeks
3013.86267 32.84018 (30*2π)/53018 weeks
31-10.54251 34.34284 (31*2π)/53017 weeks
32-26.40464 10.59906 (32*2π)/53017 weeks
33-5.33304 -13.85515 (33*2π)/53016 weeks
3416.76846 -.70077 (34*2π)/53016 weeks
3514.11894 15.88928 (35*2π)/53015 weeks
362.28286 22.18839 (36*2π)/53015 weeks
37-8.20392 15.1813 (37*2π)/53014 weeks
38-9.30161 3.39347 (38*2π)/53014 weeks
393.71396 -4.83445 (39*2π)/53014 weeks
4012.3578 9.52162 (40*2π)/53013 weeks
412.59807 15.45074 (41*2π)/53013 weeks
42-.76609 10.97098 (42*2π)/53013 weeks
43-.30885 5.3435 (43*2π)/53012 weeks
446.70054 8.73784 (44*2π)/53012 weeks
45.5043 17.27911 (45*2π)/53012 weeks
46-6.66141 11.44305 (46*2π)/53012 weeks
47-10.2949 4.50701 (47*2π)/53011 weeks
48-3.98238 -3.57544 (48*2π)/53011 weeks
494.58797 -1.0019 (49*2π)/53011 weeks
504.97111 4.296 (50*2π)/53011 weeks
513.21274 5.9455 (51*2π)/53010 weeks
52-.52195 5.57069 (52*2π)/53010 weeks
531.23156 -1.51925 (53*2π)/53010 weeks
5410.44267 2.61629 (54*2π)/53010 weeks
555.4179 8.02551 (55*2π)/53010 weeks
563.07107 8.92873 (56*2π)/5309 weeks
57.5811 6.00407 (57*2π)/5309 weeks
582.06159 5.67601 (58*2π)/5309 weeks
59.35484 6.31574 (59*2π)/5309 weeks
60-2.53994 2.24176 (60*2π)/5309 weeks
612.24437 -2.12923 (61*2π)/5309 weeks
629.39904 -1.30062 (62*2π)/5309 weeks
6311.06197 7.87952 (63*2π)/5308 weeks
643.2924 11.20447 (64*2π)/5308 weeks
651.32466 7.08488 (65*2π)/5308 weeks
66.73731 3.99223 (66*2π)/5308 weeks
677.84208 3.33808 (67*2π)/5308 weeks
687.08661 12.65985 (68*2π)/5308 weeks
69-4.08038 14.55825 (69*2π)/5308 weeks
70-9.99968 2.87494 (70*2π)/5308 weeks
71-.83286 -6.76726 (71*2π)/5307 weeks
728.89777 -1.08177 (72*2π)/5307 weeks
737.51693 6.40196 (73*2π)/5307 weeks
744.57814 9.48929 (74*2π)/5307 weeks
75-3.44733 7.59085 (75*2π)/5307 weeks
76-1.49409 -1.90145 (76*2π)/5307 weeks
777.11844 -1.23404 (77*2π)/5307 weeks
7811.04522 5.85743 (78*2π)/5307 weeks
794.0555 14.49362 (79*2π)/5307 weeks
80-4.11098 10.60818 (80*2π)/5307 weeks
81-9.1341 3.64492 (81*2π)/5307 weeks
82-2.10613 -7.30605 (82*2π)/5306 weeks
838.65532 -5.24382 (83*2π)/5306 weeks
8413.47937 5.89087 (84*2π)/5306 weeks
853.56277 13.95191 (85*2π)/5306 weeks
86-5.9247 8.54849 (86*2π)/5306 weeks
87-4.17013 -1.75763 (87*2π)/5306 weeks
884.86582 -2.81218 (88*2π)/5306 weeks
898.81264 4.70631 (89*2π)/5306 weeks
902.00048 9.89201 (90*2π)/5306 weeks
91-2.04389 5.23088 (91*2π)/5306 weeks
92-2.39753 2.7463 (92*2π)/5306 weeks
93-.61141 .1794 (93*2π)/5306 weeks
94-.33574 -1.25066 (94*2π)/5306 weeks
954.48207 -3.84826 (95*2π)/5306 weeks
969.21832 .67616 (96*2π)/5306 weeks
976.66439 6.76204 (97*2π)/5305 weeks
981.27018 7.99956 (98*2π)/5305 weeks
99-2.59493 3.89746 (99*2π)/5305 weeks
100-.39006 -2.29245 (100*2π)/5305 weeks
1016.50333 -3.68819 (101*2π)/5305 weeks
10211.21312 4.74349 (102*2π)/5305 weeks
1035.1254 10.3461 (103*2π)/5305 weeks
104-3.02883 9.06621 (104*2π)/5305 weeks
105-6.81238 .77113 (105*2π)/5305 weeks
106.41355 -7.22546 (106*2π)/5305 weeks
10711.56377 -2.69715 (107*2π)/5305 weeks
10811.46006 7.215 (108*2π)/5305 weeks
1093.62371 12.96291 (109*2π)/5305 weeks
110-6.57435 9.19691 (110*2π)/5305 weeks
111-6.6796 -3.2523 (111*2π)/5305 weeks
1124.11871 -6.22651 (112*2π)/5305 weeks
1139.13767 1.1317 (113*2π)/5305 weeks
1145.30937 7.27236 (114*2π)/5305 weeks
115-.47224 6.06262 (115*2π)/5305 weeks
116-1.9966 1.58698 (116*2π)/5305 weeks
1171.09072 -3.7833 (117*2π)/5305 weeks
1188.34362 -1.30396 (118*2π)/5304 weeks
1198.51601 6.47848 (119*2π)/5304 weeks
120.77889 7.54261 (120*2π)/5304 weeks
121-1.73301 3.03698 (121*2π)/5304 weeks
122.89815 -.63515 (122*2π)/5304 weeks
1234.03901 .72209 (123*2π)/5304 weeks
1244.86932 2.46992 (124*2π)/5304 weeks
1253.08839 4.13213 (125*2π)/5304 weeks
126.9119 3.36514 (126*2π)/5304 weeks
127.84151 -.42213 (127*2π)/5304 weeks
1285.91754 -1.51588 (128*2π)/5304 weeks
1297.94108 3.59633 (129*2π)/5304 weeks
1304.80932 6.82934 (130*2π)/5304 weeks
131.80014 7.4648 (131*2π)/5304 weeks
132-1.48739 2.85887 (132*2π)/5304 weeks
1332.68631 .94834 (133*2π)/5304 weeks
1342.42769 3.64612 (134*2π)/5304 weeks
135.70625 3.0007 (135*2π)/5304 weeks
136.3606 .53134 (136*2π)/5304 weeks
1374.70493 -.32432 (137*2π)/5304 weeks
1384.21799 4.73922 (138*2π)/5304 weeks
139.89493 4.20266 (139*2π)/5304 weeks
140.3774 2.41965 (140*2π)/5304 weeks
1411.96794 .55402 (141*2π)/5304 weeks
1423.772 2.33941 (142*2π)/5304 weeks
1432.32572 3.30186 (143*2π)/5304 weeks
1441.22045 4.02171 (144*2π)/5304 weeks
145-.87189 1.13269 (145*2π)/5304 weeks
1462.27231 -.07551 (146*2π)/5304 weeks
1472.20472 .32689 (147*2π)/5304 weeks
1484.73133 1.08293 (148*2π)/5304 weeks
1493.26113 3.29297 (149*2π)/5304 weeks
1502.07872 2.76992 (150*2π)/5304 weeks
1512.27633 1.58037 (151*2π)/5304 weeks
1524.15726 1.35474 (152*2π)/5303 weeks
1533.94415 4.93558 (153*2π)/5303 weeks
154.71456 3.94558 (154*2π)/5303 weeks
155.6908 3.24934 (155*2π)/5303 weeks
156-.30348 2.1137 (156*2π)/5303 weeks
157.72371 .18265 (157*2π)/5303 weeks
1583.83815 -.07806 (158*2π)/5303 weeks
1593.88508 3.63198 (159*2π)/5303 weeks
1601.73538 4.60286 (160*2π)/5303 weeks
161-1.67994 3.5963 (161*2π)/5303 weeks
162-1.83444 -1.18448 (162*2π)/5303 weeks
1632.73596 -2.54376 (163*2π)/5303 weeks
1645.1142 .48057 (164*2π)/5303 weeks
1653.95534 2.85626 (165*2π)/5303 weeks
1662.29766 3.84018 (166*2π)/5303 weeks
167-.30504 3.30428 (167*2π)/5303 weeks
168-.99564 -.65818 (168*2π)/5303 weeks
1693.63113 -2.8524 (169*2π)/5303 weeks
1706.80891 .94846 (170*2π)/5303 weeks
1715.31416 5.02766 (171*2π)/5303 weeks
1721.05088 6.74778 (172*2π)/5303 weeks
173-2.59314 3.79305 (173*2π)/5303 weeks
174-2.11243 -.95009 (174*2π)/5303 weeks
1751.86051 -2.81201 (175*2π)/5303 weeks
1765.14251 -.26955 (176*2π)/5303 weeks
1775.02391 2.69346 (177*2π)/5303 weeks
1782.42652 4.07211 (178*2π)/5303 weeks
1791.2315 3.58605 (179*2π)/5303 weeks
180-.72728 1.9108 (180*2π)/5303 weeks
1811.23501 .52863 (181*2π)/5303 weeks
1821.5209 .87093 (182*2π)/5303 weeks
1832.49269 1.39036 (183*2π)/5303 weeks
184.91655 2.8048 (184*2π)/5303 weeks
185-.47654 .54403 (185*2π)/5303 weeks
186.3032 -1.1923 (186*2π)/5303 weeks
1874.11146 -2.78958 (187*2π)/5303 weeks
1887.36768 2.8312 (188*2π)/5303 weeks
1892.21551 6.2917 (189*2π)/5303 weeks
190-1.63851 4.38127 (190*2π)/5303 weeks
191-2.81249 -.19798 (191*2π)/5303 weeks
1921.17396 -2.2013 (192*2π)/5303 weeks
1932.56791 -.28194 (193*2π)/5303 weeks
1944.40692 1.16142 (194*2π)/5303 weeks
195.39526 4.39699 (195*2π)/5303 weeks
196-1.71141 .54109 (196*2π)/5303 weeks
197-1.41287 -2.14561 (197*2π)/5303 weeks
1983.2229 -4.84363 (198*2π)/5303 weeks
1997.71141 -.64764 (199*2π)/5303 weeks
2005.04758 5.11069 (200*2π)/5303 weeks
201-.47367 5.01827 (201*2π)/5303 weeks
202-2.68262 -.85327 (202*2π)/5303 weeks
2032.53493 -3.38406 (203*2π)/5303 weeks
2045.31364 -.35839 (204*2π)/5303 weeks
2054.71246 3.46222 (205*2π)/5303 weeks
206-.41791 4.98486 (206*2π)/5303 weeks
207-2.47669 -.54217 (207*2π)/5303 weeks
2081.22066 -4.0626 (208*2π)/5303 weeks
2096.38121 -1.92345 (209*2π)/5303 weeks
2105.42131 3.57589 (210*2π)/5303 weeks
211.4019 3.72047 (211*2π)/5303 weeks
212.5927 .00248 (212*2π)/5303 weeks
2133.23986 .23402 (213*2π)/5302 weeks
2143.57661 2.2489 (214*2π)/5302 weeks
2151.18244 4.48314 (215*2π)/5302 weeks
216-2.78094 2.29455 (216*2π)/5302 weeks
217-1.61823 -2.7829 (217*2π)/5302 weeks
2182.0998 -3.02446 (218*2π)/5302 weeks
2195.32652 -.88396 (219*2π)/5302 weeks
2203.6436 3.12939 (220*2π)/5302 weeks
221.32149 2.90423 (221*2π)/5302 weeks
222-1.30772 .18597 (222*2π)/5302 weeks
223.71278 -3.24769 (223*2π)/5302 weeks
2245.10836 -1.66879 (224*2π)/5302 weeks
2254.43702 3.15281 (225*2π)/5302 weeks
226-.39787 4.33412 (226*2π)/5302 weeks
227-3.07126 -.4664 (227*2π)/5302 weeks
228-.07577 -4.13245 (228*2π)/5302 weeks
2293.7971 -3.61805 (229*2π)/5302 weeks
2306.67198 -.29603 (230*2π)/5302 weeks
2312.86036 4.05317 (231*2π)/5302 weeks
232.07551 1.50749 (232*2π)/5302 weeks
233-.31392 -.3641 (233*2π)/5302 weeks
2341.69403 -1.55654 (234*2π)/5302 weeks
2352.35394 -1.06943 (235*2π)/5302 weeks
2363.02685 -.83253 (236*2π)/5302 weeks
2373.34469 .89428 (237*2π)/5302 weeks
2381.20261 1.29486 (238*2π)/5302 weeks
239.57584 .16662 (239*2π)/5302 weeks
240.79559 -2.18904 (240*2π)/5302 weeks
2413.77687 -3.2969 (241*2π)/5302 weeks
2426.9487 .72655 (242*2π)/5302 weeks
2433.42512 5.10132 (243*2π)/5302 weeks
244-2.01978 4.14489 (244*2π)/5302 weeks
245-4.96545 -1.33412 (245*2π)/5302 weeks
246-.53864 -7.2595 (246*2π)/5302 weeks
2476.96215 -6.64339 (247*2π)/5302 weeks
2489.65684 1.25586 (248*2π)/5302 weeks
2493.5799 6.13552 (249*2π)/5302 weeks
250-1.77892 3.00643 (250*2π)/5302 weeks
251-2.04604 -2.33253 (251*2π)/5302 weeks
2522.22512 -5.0112 (252*2π)/5302 weeks
2537.12387 -2.39648 (253*2π)/5302 weeks
2545.22017 2.93108 (254*2π)/5302 weeks
2551.22793 3.56436 (255*2π)/5302 weeks
256-1.98888 .21681 (256*2π)/5302 weeks
257-.02062 -3.50546 (257*2π)/5302 weeks
2584.52007 -5.03171 (258*2π)/5302 weeks
2597.91645 .10222 (259*2π)/5302 weeks
2602.89414 4.16874 (260*2π)/5302 weeks
261-.76222 .69063 (261*2π)/5302 weeks
262-.12988 -2.33987 (262*2π)/5302 weeks
2633.01578 -3.86848 (263*2π)/5302 weeks
2645.39095 -3.25682 (264*2π)/5302 weeks
2657.99743   (265*2π)/5302 weeks
2665.39095 3.25682 (266*2π)/5302 weeks
2673.01578 3.86848 (267*2π)/5302 weeks
268-.12988 2.33987 (268*2π)/5302 weeks
269-.76222 -.69063 (269*2π)/5302 weeks
2702.89414 -4.16874 (270*2π)/5302 weeks
2717.91645 -.10222 (271*2π)/5302 weeks
2724.52007 5.03171 (272*2π)/5302 weeks
273-.02062 3.50546 (273*2π)/5302 weeks
274-1.98888 -.21681 (274*2π)/5302 weeks
2751.22793 -3.56436 (275*2π)/5302 weeks
2765.22017 -2.93108 (276*2π)/5302 weeks
2777.12387 2.39648 (277*2π)/5302 weeks
2782.22512 5.0112 (278*2π)/5302 weeks
279-2.04604 2.33253 (279*2π)/5302 weeks
280-1.77892 -3.00643 (280*2π)/5302 weeks
2813.5799 -6.13552 (281*2π)/5302 weeks
2829.65684 -1.25586 (282*2π)/5302 weeks
2836.96215 6.64339 (283*2π)/5302 weeks
284-.53864 7.2595 (284*2π)/5302 weeks
285-4.96545 1.33412 (285*2π)/5302 weeks
286-2.01978 -4.14489 (286*2π)/5302 weeks
2873.42512 -5.10132 (287*2π)/5302 weeks
2886.9487 -.72655 (288*2π)/5302 weeks
2893.77687 3.2969 (289*2π)/5302 weeks
290.79559 2.18904 (290*2π)/5302 weeks
291.57584 -.16662 (291*2π)/5302 weeks
2921.20261 -1.29486 (292*2π)/5302 weeks
2933.34469 -.89428 (293*2π)/5302 weeks
2943.02685 .83253 (294*2π)/5302 weeks
2952.35394 1.06943 (295*2π)/5302 weeks
2961.69403 1.55654 (296*2π)/5302 weeks
297-.31392 .3641 (297*2π)/5302 weeks
298.07551 -1.50749 (298*2π)/5302 weeks
2992.86036 -4.05317 (299*2π)/5302 weeks
3006.67198 .29603 (300*2π)/5302 weeks
3013.7971 3.61805 (301*2π)/5302 weeks
302-.07577 4.13245 (302*2π)/5302 weeks
303-3.07126 .4664 (303*2π)/5302 weeks
304-.39787 -4.33412 (304*2π)/5302 weeks
3054.43702 -3.15281 (305*2π)/5302 weeks
3065.10836 1.66879 (306*2π)/5302 weeks
307.71278 3.24769 (307*2π)/5302 weeks
308-1.30772 -.18597 (308*2π)/5302 weeks
309.32149 -2.90423 (309*2π)/5302 weeks
3103.6436 -3.12939 (310*2π)/5302 weeks
3115.32652 .88396 (311*2π)/5302 weeks
3122.0998 3.02446 (312*2π)/5302 weeks
313-1.61823 2.7829 (313*2π)/5302 weeks
314-2.78094 -2.29455 (314*2π)/5302 weeks
3151.18244 -4.48314 (315*2π)/5302 weeks
3163.57661 -2.2489 (316*2π)/5302 weeks
3173.23986 -.23402 (317*2π)/5302 weeks
318.5927 -.00248 (318*2π)/5302 weeks
319.4019 -3.72047 (319*2π)/5302 weeks
3205.42131 -3.57589 (320*2π)/5302 weeks
3216.38121 1.92345 (321*2π)/5302 weeks
3221.22066 4.0626 (322*2π)/5302 weeks
323-2.47669 .54217 (323*2π)/5302 weeks
324-.41791 -4.98486 (324*2π)/5302 weeks
3254.71246 -3.46222 (325*2π)/5302 weeks
3265.31364 .35839 (326*2π)/5302 weeks
3272.53493 3.38406 (327*2π)/5302 weeks
328-2.68262 .85327 (328*2π)/5302 weeks
329-.47367 -5.01827 (329*2π)/5302 weeks
3305.04758 -5.11069 (330*2π)/5302 weeks
3317.71141 .64764 (331*2π)/5302 weeks
3323.2229 4.84363 (332*2π)/5302 weeks
333-1.41287 2.14561 (333*2π)/5302 weeks
334-1.71141 -.54109 (334*2π)/5302 weeks
335.39526 -4.39699 (335*2π)/5302 weeks
3364.40692 -1.16142 (336*2π)/5302 weeks
3372.56791 .28194 (337*2π)/5302 weeks
3381.17396 2.2013 (338*2π)/5302 weeks
339-2.81249 .19798 (339*2π)/5302 weeks
340-1.63851 -4.38127 (340*2π)/5302 weeks
3412.21551 -6.2917 (341*2π)/5302 weeks
3427.36768 -2.8312 (342*2π)/5302 weeks
3434.11146 2.78958 (343*2π)/5302 weeks
344.3032 1.1923 (344*2π)/5302 weeks
345-.47654 -.54403 (345*2π)/5302 weeks
346.91655 -2.8048 (346*2π)/5302 weeks
3472.49269 -1.39036 (347*2π)/5302 weeks
3481.5209 -.87093 (348*2π)/5302 weeks
3491.23501 -.52863 (349*2π)/5302 weeks
350-.72728 -1.9108 (350*2π)/5302 weeks
3511.2315 -3.58605 (351*2π)/5302 weeks
3522.42652 -4.07211 (352*2π)/5302 weeks
3535.02391 -2.69346 (353*2π)/5302 weeks
3545.14251 .26955 (354*2π)/5301 weeks
3551.86051 2.81201 (355*2π)/5301 weeks
356-2.11243 .95009 (356*2π)/5301 weeks
357-2.59314 -3.79305 (357*2π)/5301 weeks
3581.05088 -6.74778 (358*2π)/5301 weeks
3595.31416 -5.02766 (359*2π)/5301 weeks
3606.80891 -.94846 (360*2π)/5301 weeks
3613.63113 2.8524 (361*2π)/5301 weeks
362-.99564 .65818 (362*2π)/5301 weeks
363-.30504 -3.30428 (363*2π)/5301 weeks
3642.29766 -3.84018 (364*2π)/5301 weeks
3653.95534 -2.85626 (365*2π)/5301 weeks
3665.1142 -.48057 (366*2π)/5301 weeks
3672.73596 2.54376 (367*2π)/5301 weeks
368-1.83444 1.18448 (368*2π)/5301 weeks
369-1.67994 -3.5963 (369*2π)/5301 weeks
3701.73538 -4.60286 (370*2π)/5301 weeks
3713.88508 -3.63198 (371*2π)/5301 weeks
3723.83815 .07806 (372*2π)/5301 weeks
373.72371 -.18265 (373*2π)/5301 weeks
374-.30348 -2.1137 (374*2π)/5301 weeks
375.6908 -3.24934 (375*2π)/5301 weeks
376.71456 -3.94558 (376*2π)/5301 weeks
3773.94415 -4.93558 (377*2π)/5301 weeks
3784.15726 -1.35474 (378*2π)/5301 weeks
3792.27633 -1.58037 (379*2π)/5301 weeks
3802.07872 -2.76992 (380*2π)/5301 weeks
3813.26113 -3.29297 (381*2π)/5301 weeks
3824.73133 -1.08293 (382*2π)/5301 weeks
3832.20472 -.32689 (383*2π)/5301 weeks
3842.27231 .07551 (384*2π)/5301 weeks
385-.87189 -1.13269 (385*2π)/5301 weeks
3861.22045 -4.02171 (386*2π)/5301 weeks
3872.32572 -3.30186 (387*2π)/5301 weeks
3883.772 -2.33941 (388*2π)/5301 weeks
3891.96794 -.55402 (389*2π)/5301 weeks
390.3774 -2.41965 (390*2π)/5301 weeks
391.89493 -4.20266 (391*2π)/5301 weeks
3924.21799 -4.73922 (392*2π)/5301 weeks
3934.70493 .32432 (393*2π)/5301 weeks
394.3606 -.53134 (394*2π)/5301 weeks
395.70625 -3.0007 (395*2π)/5301 weeks
3962.42769 -3.64612 (396*2π)/5301 weeks
3972.68631 -.94834 (397*2π)/5301 weeks
398-1.48739 -2.85887 (398*2π)/5301 weeks
399.80014 -7.4648 (399*2π)/5301 weeks
4004.80932 -6.82934 (400*2π)/5301 weeks
4017.94108 -3.59633 (401*2π)/5301 weeks
4025.91754 1.51588 (402*2π)/5301 weeks
403.84151 .42213 (403*2π)/5301 weeks
404.9119 -3.36514 (404*2π)/5301 weeks
4053.08839 -4.13213 (405*2π)/5301 weeks
4064.86932 -2.46992 (406*2π)/5301 weeks
4074.03901 -.72209 (407*2π)/5301 weeks
408.89815 .63515 (408*2π)/5301 weeks
409-1.73301 -3.03698 (409*2π)/5301 weeks
410.77889 -7.54261 (410*2π)/5301 weeks
4118.51601 -6.47848 (411*2π)/5301 weeks
4128.34362 1.30396 (412*2π)/5301 weeks
4131.09072 3.7833 (413*2π)/5301 weeks
414-1.9966 -1.58698 (414*2π)/5301 weeks
415-.47224 -6.06262 (415*2π)/5301 weeks
4165.30937 -7.27236 (416*2π)/5301 weeks
4179.13767 -1.1317 (417*2π)/5301 weeks
4184.11871 6.22651 (418*2π)/5301 weeks
419-6.6796 3.2523 (419*2π)/5301 weeks
420-6.57435 -9.19691 (420*2π)/5301 weeks
4213.62371 -12.96291 (421*2π)/5301 weeks
42211.46006 -7.215 (422*2π)/5301 weeks
42311.56377 2.69715 (423*2π)/5301 weeks
424.41355 7.22546 (424*2π)/5301 weeks
425-6.81238 -.77113 (425*2π)/5301 weeks
426-3.02883 -9.06621 (426*2π)/5301 weeks
4275.1254 -10.3461 (427*2π)/5301 weeks
42811.21312 -4.74349 (428*2π)/5301 weeks
4296.50333 3.68819 (429*2π)/5301 weeks
430-.39006 2.29245 (430*2π)/5301 weeks
431-2.59493 -3.89746 (431*2π)/5301 weeks
4321.27018 -7.99956 (432*2π)/5301 weeks
4336.66439 -6.76204 (433*2π)/5301 weeks
4349.21832 -.67616 (434*2π)/5301 weeks
4354.48207 3.84826 (435*2π)/5301 weeks
436-.33574 1.25066 (436*2π)/5301 weeks
437-.61141 -.1794 (437*2π)/5301 weeks
438-2.39753 -2.7463 (438*2π)/5301 weeks
439-2.04389 -5.23088 (439*2π)/5301 weeks
4402.00048 -9.89201 (440*2π)/5301 weeks
4418.81264 -4.70631 (441*2π)/5301 weeks
4424.86582 2.81218 (442*2π)/5301 weeks
443-4.17013 1.75763 (443*2π)/5301 weeks
444-5.9247 -8.54849 (444*2π)/5301 weeks
4453.56277 -13.95191 (445*2π)/5301 weeks
44613.47937 -5.89087 (446*2π)/5301 weeks
4478.65532 5.24382 (447*2π)/5301 weeks
448-2.10613 7.30605 (448*2π)/5301 weeks
449-9.1341 -3.64492 (449*2π)/5301 weeks
450-4.11098 -10.60818 (450*2π)/5301 weeks
4514.0555 -14.49362 (451*2π)/5301 weeks
45211.04522 -5.85743 (452*2π)/5301 weeks
4537.11844 1.23404 (453*2π)/5301 weeks
454-1.49409 1.90145 (454*2π)/5301 weeks
455-3.44733 -7.59085 (455*2π)/5301 weeks
4564.57814 -9.48929 (456*2π)/5301 weeks
4577.51693 -6.40196 (457*2π)/5301 weeks
4588.89777 1.08177 (458*2π)/5301 weeks
459-.83286 6.76726 (459*2π)/5301 weeks
460-9.99968 -2.87494 (460*2π)/5301 weeks
461-4.08038 -14.55825 (461*2π)/5301 weeks
4627.08661 -12.65985 (462*2π)/5301 weeks
4637.84208 -3.33808 (463*2π)/5301 weeks
464.73731 -3.99223 (464*2π)/5301 weeks
4651.32466 -7.08488 (465*2π)/5301 weeks
4663.2924 -11.20447 (466*2π)/5301 weeks
46711.06197 -7.87952 (467*2π)/5301 weeks
4689.39904 1.30062 (468*2π)/5301 weeks
4692.24437 2.12923 (469*2π)/5301 weeks
470-2.53994 -2.24176 (470*2π)/5301 weeks
471.35484 -6.31574 (471*2π)/5301 weeks
4722.06159 -5.67601 (472*2π)/5301 weeks
473.5811 -6.00407 (473*2π)/5301 weeks
4743.07107 -8.92873 (474*2π)/5301 weeks
4755.4179 -8.02551 (475*2π)/5301 weeks
47610.44267 -2.61629 (476*2π)/5301 weeks
4771.23156 1.51925 (477*2π)/5301 weeks
478-.52195 -5.57069 (478*2π)/5301 weeks
4793.21274 -5.9455 (479*2π)/5301 weeks
4804.97111 -4.296 (480*2π)/5301 weeks
4814.58797 1.0019 (481*2π)/5301 weeks
482-3.98238 3.57544 (482*2π)/5301 weeks
483-10.2949 -4.50701 (483*2π)/5301 weeks
484-6.66141 -11.44305 (484*2π)/5301 weeks
485.5043 -17.27911 (485*2π)/5301 weeks
4866.70054 -8.73784 (486*2π)/5301 weeks
487-.30885 -5.3435 (487*2π)/5301 weeks
488-.76609 -10.97098 (488*2π)/5301 weeks
4892.59807 -15.45074 (489*2π)/5301 weeks
49012.3578 -9.52162 (490*2π)/5301 weeks
4913.71396 4.83445 (491*2π)/5301 weeks
492-9.30161 -3.39347 (492*2π)/5301 weeks
493-8.20392 -15.1813 (493*2π)/5301 weeks
4942.28286 -22.18839 (494*2π)/5301 weeks
49514.11894 -15.88928 (495*2π)/5301 weeks
49616.76846 .70077 (496*2π)/5301 weeks
497-5.33304 13.85515 (497*2π)/5301 weeks
498-26.40464 -10.59906 (498*2π)/5301 weeks
499-10.54251 -34.34284 (499*2π)/5301 weeks
50013.86267 -32.84018 (500*2π)/5301 weeks
50124.497 -10.52062 (501*2π)/5301 weeks
50210.28343 6.42129 (502*2π)/5301 weeks
503-5.83661 1.483 (503*2π)/5301 weeks
504-16.24123 -6.47666 (504*2π)/5301 weeks
505-9.93294 -26.18865 (505*2π)/5301 weeks
506-3.52394 -29.04255 (506*2π)/5301 weeks
50712.41857 -29.97642 (507*2π)/5301 weeks
50810.48431 -11.8641 (508*2π)/5301 weeks
5091.75977 -10.64923 (509*2π)/5301 weeks
510-4.77731 -19.1943 (510*2π)/5301 weeks
511-1.95871 -30.0016 (511*2π)/5301 weeks
51215.85077 -37.3272 (512*2π)/5301 weeks
51329.30964 -11.79999 (513*2π)/5301 weeks
5147.71307 5.16427 (514*2π)/5301 weeks
515-20.95449 2.94745 (515*2π)/5301 weeks
516-38.1289 -27.48632 (516*2π)/5301 weeks
517-30.85963 -68.92872 (517*2π)/5301 weeks
51823.99335 -97.811 (518*2π)/5301 weeks
51981.98872 -49.3565 (519*2π)/5301 weeks
52049.00954 17.37112 (520*2π)/5301 weeks
521-3.32183 23.50732 (521*2π)/5301 weeks
522-69.5108 -27.44294 (522*2π)/5301 weeks
523-16.75346 -125.7897 (523*2π)/5301 weeks
52484.12814 -108.3948 (524*2π)/5301 weeks
525103.2253 4.21563 (525*2π)/5301 weeks
526-26.49368 55.64994 (526*2π)/5301 weeks
527-159.1219 -59.99229 (527*2π)/5301 weeks
528-90.76625 -341.7807 (528*2π)/5301 weeks

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