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Fourier Analysis of SCC (PROSHARES ULTRASHORT CONSUMER SERVICES PROSHARES ULTRASHORT CONSUMER SERVICES)


SCC (PROSHARES ULTRASHORT CONSUMER SERVICES PROSHARES ULTRASHORT CONSUMER SERVICES) appears to have interesting cyclic behaviour every 44 weeks (41.4449*sine), 48 weeks (31.1811*sine), and 48 weeks (26.8013*cosine).

SCC (PROSHARES ULTRASHORT CONSUMER SERVICES PROSHARES ULTRASHORT CONSUMER SERVICES) has an average price of 389.04 (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 SCC (PROSHARES ULTRASHORT CONSUMER SERVICES PROSHARES ULTRASHORT CONSUMER SERVICES), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0389.0361   0 
1203.2201 457.6789 (1*2π)/573573 weeks
2-79.49203 264.0574 (2*2π)/573287 weeks
3-123.6423 84.11707 (3*2π)/573191 weeks
4-42.77551 -16.82642 (4*2π)/573143 weeks
532.61972 -1.39921 (5*2π)/573115 weeks
644.09026 49.32151 (6*2π)/57396 weeks
72.71451 71.60966 (7*2π)/57382 weeks
8-39.80748 39.60268 (8*2π)/57372 weeks
9-17.25012 -5.77118 (9*2π)/57364 weeks
1011.91449 -.75114 (10*2π)/57357 weeks
1122.84344 7.57807 (11*2π)/57352 weeks
1226.80125 31.1811 (12*2π)/57348 weeks
132.31356 41.44492 (13*2π)/57344 weeks
14-12.78574 26.15504 (14*2π)/57341 weeks
15-9.67175 12.50406 (15*2π)/57338 weeks
16-1.77623 8.14765 (16*2π)/57336 weeks
17.51836 9.65993 (17*2π)/57334 weeks
185.70073 4.73889 (18*2π)/57332 weeks
199.27323 15.71331 (19*2π)/57330 weeks
20-.39317 16.05054 (20*2π)/57329 weeks
21.62102 8.42128 (21*2π)/57327 weeks
226.07307 11.56922 (22*2π)/57326 weeks
23.30328 13.97077 (23*2π)/57325 weeks
241.24751 5.67615 (24*2π)/57324 weeks
259.206 8.92461 (25*2π)/57323 weeks
2610.1112 18.4768 (26*2π)/57322 weeks
27-2.48626 26.33146 (27*2π)/57321 weeks
28-15.51408 13.99354 (28*2π)/57320 weeks
29-13.69257 -.03548 (29*2π)/57320 weeks
30-1.19127 -10.97336 (30*2π)/57319 weeks
3118.29787 -2.9039 (31*2π)/57318 weeks
3218.96053 20.46446 (32*2π)/57318 weeks
33-1.50389 30.46165 (33*2π)/57317 weeks
34-22.5395 16.50401 (34*2π)/57317 weeks
35-19.37601 -10.07818 (35*2π)/57316 weeks
365.72916 -16.4003 (36*2π)/57316 weeks
3718.50232 -.59688 (37*2π)/57315 weeks
3814.50893 14.85648 (38*2π)/57315 weeks
39.76016 18.55896 (39*2π)/57315 weeks
40-6.80907 11.56348 (40*2π)/57314 weeks
41-6.30197 3.28713 (41*2π)/57314 weeks
42-1.47008 -1.22714 (42*2π)/57314 weeks
436.31732 1.67304 (43*2π)/57313 weeks
444.10885 7.34073 (44*2π)/57313 weeks
452.32848 5.83052 (45*2π)/57313 weeks
461.79481 7.27233 (46*2π)/57312 weeks
472.06408 6.10688 (47*2π)/57312 weeks
481.43601 9.1614 (48*2π)/57312 weeks
49-3.60888 7.98578 (49*2π)/57312 weeks
50-2.24218 4.2787 (50*2π)/57311 weeks
51-1.73722 2.84676 (51*2π)/57311 weeks
52-.00168 2.42318 (52*2π)/57311 weeks
531.48534 3.77247 (53*2π)/57311 weeks
54-.99243 5.56824 (54*2π)/57311 weeks
55-2.05131 2.31965 (55*2π)/57310 weeks
56-1.73537 .09368 (56*2π)/57310 weeks
572.13333 -3.15222 (57*2π)/57310 weeks
588.77155 1.11002 (58*2π)/57310 weeks
595.08649 8.74106 (59*2π)/57310 weeks
60-.1568 7.51372 (60*2π)/57310 weeks
61-1.26191 4.23949 (61*2π)/5739 weeks
62-.04026 2.3739 (62*2π)/5739 weeks
632.94811 3.15501 (63*2π)/5739 weeks
64.44954 7.05788 (64*2π)/5739 weeks
65-4.02696 3.43715 (65*2π)/5739 weeks
66-2.45592 -.5014 (66*2π)/5739 weeks
672.23019 -2.71081 (67*2π)/5739 weeks
685.75751 1.49426 (68*2π)/5738 weeks
692.84467 5.3794 (69*2π)/5738 weeks
701.36636 2.52214 (70*2π)/5738 weeks
712.02564 3.41869 (71*2π)/5738 weeks
723.34311 2.15312 (72*2π)/5738 weeks
734.73657 6.80353 (73*2π)/5738 weeks
74-1.64429 9.19134 (74*2π)/5738 weeks
75-6.50821 3.91588 (75*2π)/5738 weeks
76-4.2516 -2.58089 (76*2π)/5738 weeks
773.35512 -4.3028 (77*2π)/5737 weeks
786.34211 2.3137 (78*2π)/5737 weeks
791.98763 4.43781 (79*2π)/5737 weeks
801.9206 4.618 (80*2π)/5737 weeks
81-3.33328 4.3484 (81*2π)/5737 weeks
82-2.38328 -3.29505 (82*2π)/5737 weeks
834.93904 -3.39478 (83*2π)/5737 weeks
847.47311 1.33975 (84*2π)/5737 weeks
855.94141 6.58792 (85*2π)/5737 weeks
86.43807 7.63692 (86*2π)/5737 weeks
87-2.67552 5.19471 (87*2π)/5737 weeks
88-4.7013 .06838 (88*2π)/5737 weeks
891.2335 -4.94759 (89*2π)/5736 weeks
907.48058 -1.20286 (90*2π)/5736 weeks
917.60173 5.02443 (91*2π)/5736 weeks
922.3325 7.72602 (92*2π)/5736 weeks
93-1.33574 5.67183 (93*2π)/5736 weeks
94-1.96132 2.60805 (94*2π)/5736 weeks
95-.14002 .59748 (95*2π)/5736 weeks
961.75924 1.06877 (96*2π)/5736 weeks
971.31384 2.42237 (97*2π)/5736 weeks
981.37509 1.04943 (98*2π)/5736 weeks
993.03698 3.03454 (99*2π)/5736 weeks
100-.05654 4.96892 (100*2π)/5736 weeks
101-2.88534 2.25694 (101*2π)/5736 weeks
102-1.89862 -2.24072 (102*2π)/5736 weeks
1033.33559 -3.65034 (103*2π)/5736 weeks
1047.28762 1.02586 (104*2π)/5736 weeks
1054.8283 6.27949 (105*2π)/5735 weeks
106-1.18084 7.25701 (106*2π)/5735 weeks
107-5.18615 1.82739 (107*2π)/5735 weeks
108-1.9424 -4.55962 (108*2π)/5735 weeks
1094.82159 -4.47856 (109*2π)/5735 weeks
1108.94748 .97059 (110*2π)/5735 weeks
1115.75413 7.20403 (111*2π)/5735 weeks
112-.22148 8.1336 (112*2π)/5735 weeks
113-4.86399 3.59562 (113*2π)/5735 weeks
114-3.19629 -3.15661 (114*2π)/5735 weeks
1153.55557 -4.88551 (115*2π)/5735 weeks
1168.00397 .75339 (116*2π)/5735 weeks
1175.29417 6.21218 (117*2π)/5735 weeks
118.60987 6.77359 (118*2π)/5735 weeks
119-3.26403 3.97415 (119*2π)/5735 weeks
120-2.42668 -1.04226 (120*2π)/5735 weeks
1211.64729 -2.32987 (121*2π)/5735 weeks
1224.20404 .2135 (122*2π)/5735 weeks
1234.07146 2.82195 (123*2π)/5735 weeks
1241.71556 4.70612 (124*2π)/5735 weeks
125-1.22622 3.11926 (125*2π)/5735 weeks
126-1.70971 -.51085 (126*2π)/5735 weeks
1272.37745 -2.63142 (127*2π)/5735 weeks
1285.84352 .21194 (128*2π)/5734 weeks
1294.73075 4.91524 (129*2π)/5734 weeks
130.58195 5.35888 (130*2π)/5734 weeks
131-1.44099 2.85214 (131*2π)/5734 weeks
132-.77863 .49624 (132*2π)/5734 weeks
133.69296 .01446 (133*2π)/5734 weeks
1342.31781 -.14394 (134*2π)/5734 weeks
1353.10111 1.83654 (135*2π)/5734 weeks
1361.44263 3.49183 (136*2π)/5734 weeks
137-1.08972 2.13561 (137*2π)/5734 weeks
138-.43908 -1.40612 (138*2π)/5734 weeks
1393.32045 -1.39851 (139*2π)/5734 weeks
1404.86648 1.19208 (140*2π)/5734 weeks
1414.45659 4.01649 (141*2π)/5734 weeks
142.72013 5.64124 (142*2π)/5734 weeks
143-1.73517 2.8343 (143*2π)/5734 weeks
144-.68556 1.03729 (144*2π)/5734 weeks
145-.09558 .16362 (145*2π)/5734 weeks
1461.34836 -.10169 (146*2π)/5734 weeks
1471.72911 -.18853 (147*2π)/5734 weeks
1483.91195 1.46034 (148*2π)/5734 weeks
1491.20048 4.68142 (149*2π)/5734 weeks
150-2.17599 1.84892 (150*2π)/5734 weeks
151-.0449 -1.39728 (151*2π)/5734 weeks
1522.67127 -1.08303 (152*2π)/5734 weeks
1534.04795 1.57683 (153*2π)/5734 weeks
1541.93739 4.12145 (154*2π)/5734 weeks
155-.54511 3.01157 (155*2π)/5734 weeks
156-1.74106 1.0199 (156*2π)/5734 weeks
157.03799 -1.91071 (157*2π)/5734 weeks
1582.88128 -.33472 (158*2π)/5734 weeks
1592.20253 1.1585 (159*2π)/5734 weeks
1602.02835 1.68389 (160*2π)/5734 weeks
161.85657 1.69136 (161*2π)/5734 weeks
1621.00894 .68148 (162*2π)/5734 weeks
1631.10507 .54312 (163*2π)/5734 weeks
1642.06144 -.08583 (164*2π)/5733 weeks
1653.01574 1.94388 (165*2π)/5733 weeks
166.57762 2.28115 (166*2π)/5733 weeks
1671.17209 1.00112 (167*2π)/5733 weeks
1681.01028 1.60945 (168*2π)/5733 weeks
169.38248 .90407 (169*2π)/5733 weeks
1701.03552 -.05586 (170*2π)/5733 weeks
1712.93325 .39548 (171*2π)/5733 weeks
1722.48299 2.48957 (172*2π)/5733 weeks
173.8225 3.34867 (173*2π)/5733 weeks
174-1.51634 2.2495 (174*2π)/5733 weeks
175-1.50661 -.90016 (175*2π)/5733 weeks
1761.42208 -1.96589 (176*2π)/5733 weeks
1773.28547 -.05145 (177*2π)/5733 weeks
1782.71681 2.12601 (178*2π)/5733 weeks
179.46809 2.83791 (179*2π)/5733 weeks
180-1.05326 .73511 (180*2π)/5733 weeks
181-.05337 -1.257 (181*2π)/5733 weeks
1821.9081 -1.83351 (182*2π)/5733 weeks
1833.99548 -.41231 (183*2π)/5733 weeks
1844.09004 1.97525 (184*2π)/5733 weeks
1852.3036 3.64258 (185*2π)/5733 weeks
186-.50348 3.39019 (186*2π)/5733 weeks
187-1.81135 .82216 (187*2π)/5733 weeks
188-.26068 -1.81997 (188*2π)/5733 weeks
1892.93174 -1.70801 (189*2π)/5733 weeks
1904.18105 .99311 (190*2π)/5733 weeks
1912.59772 3.13396 (191*2π)/5733 weeks
192.10654 3.26552 (192*2π)/5733 weeks
193-.85504 1.13846 (193*2π)/5733 weeks
194.20403 .05502 (194*2π)/5733 weeks
1951.02557 -.02367 (195*2π)/5733 weeks
1961.21026 .80761 (196*2π)/5733 weeks
197.37899 1.01662 (197*2π)/5733 weeks
198.01657 .09244 (198*2π)/5733 weeks
199.36901 -.92752 (199*2π)/5733 weeks
2001.52861 -1.1123 (200*2π)/5733 weeks
2012.00897 -.4161 (201*2π)/5733 weeks
2022.45614 -.99968 (202*2π)/5733 weeks
2034.47593 .70798 (203*2π)/5733 weeks
2042.35505 2.99775 (204*2π)/5733 weeks
2051.00692 2.11046 (205*2π)/5733 weeks
206.42119 1.5466 (206*2π)/5733 weeks
207.74485 .67746 (207*2π)/5733 weeks
2081.19561 1.17441 (208*2π)/5733 weeks
209.32199 .65929 (209*2π)/5733 weeks
2101.56044 1.05438 (210*2π)/5733 weeks
211-.41218 1.54377 (211*2π)/5733 weeks
212-.14656 -.30061 (212*2π)/5733 weeks
213-.19705 -.49461 (213*2π)/5733 weeks
214.76532 -2.46648 (214*2π)/5733 weeks
2153.95882 -1.63479 (215*2π)/5733 weeks
2164.08859 1.73206 (216*2π)/5733 weeks
2171.58156 3.25494 (217*2π)/5733 weeks
218-1.18054 1.38482 (218*2π)/5733 weeks
219-.09599 -1.85642 (219*2π)/5733 weeks
2202.88726 -1.23056 (220*2π)/5733 weeks
2213.76456 .70657 (221*2π)/5733 weeks
2222.78964 3.20495 (222*2π)/5733 weeks
223-1.1156 3.1561 (223*2π)/5733 weeks
224-1.81924 -.58134 (224*2π)/5733 weeks
225.78276 -2.45687 (225*2π)/5733 weeks
2263.54328 -1.17149 (226*2π)/5733 weeks
2273.147 1.55913 (227*2π)/5733 weeks
228.96457 1.59394 (228*2π)/5733 weeks
2291.22189 .1849 (229*2π)/5733 weeks
2302.07124 .67769 (230*2π)/5732 weeks
2311.9837 1.54532 (231*2π)/5732 weeks
2321.50047 2.433 (232*2π)/5732 weeks
233-.99356 2.69182 (233*2π)/5732 weeks
234-2.34707 -.5014 (234*2π)/5732 weeks
235.21935 -2.8096 (235*2π)/5732 weeks
2363.41556 -1.98626 (236*2π)/5732 weeks
2374.20773 2.04898 (237*2π)/5732 weeks
238.33576 3.48777 (238*2π)/5732 weeks
239-1.5764 1.11327 (239*2π)/5732 weeks
240-1.22065 -1.28424 (240*2π)/5732 weeks
241.95482 -2.75106 (241*2π)/5732 weeks
2423.59104 -1.19055 (242*2π)/5732 weeks
2433.38721 1.8187 (243*2π)/5732 weeks
244.4709 2.95189 (244*2π)/5732 weeks
245-2.01133 .68853 (245*2π)/5732 weeks
246-.97106 -2.6167 (246*2π)/5732 weeks
2472.40562 -3.00333 (247*2π)/5732 weeks
2484.19554 -1.07446 (248*2π)/5732 weeks
2494.21231 2.09986 (249*2π)/5732 weeks
250.68671 3.07147 (250*2π)/5732 weeks
251-.7669 1.41734 (251*2π)/5732 weeks
252-1.12506 -.81741 (252*2π)/5732 weeks
2531.19419 -2.02936 (253*2π)/5732 weeks
2542.29751 -.85687 (254*2π)/5732 weeks
2552.87367 .15731 (255*2π)/5732 weeks
2561.77991 2.08249 (256*2π)/5732 weeks
257-.93026 1.50757 (257*2π)/5732 weeks
258-.84699 -1.52875 (258*2π)/5732 weeks
259.77991 -2.8803 (259*2π)/5732 weeks
2603.871 -2.40724 (260*2π)/5732 weeks
2615.00444 .9158 (261*2π)/5732 weeks
2622.58515 3.41333 (262*2π)/5732 weeks
263-.32514 2.97591 (263*2π)/5732 weeks
264-1.82373 1.12914 (264*2π)/5732 weeks
265-2.24541 -1.88169 (265*2π)/5732 weeks
266.53156 -4.14964 (266*2π)/5732 weeks
2674.44754 -3.39 (267*2π)/5732 weeks
2685.62148 1.12169 (268*2π)/5732 weeks
2692.14562 3.50749 (269*2π)/5732 weeks
270-.67534 2.33756 (270*2π)/5732 weeks
271-2.13982 -.26151 (271*2π)/5732 weeks
272-.08596 -3.41241 (272*2π)/5732 weeks
2733.66424 -3.04916 (273*2π)/5732 weeks
2744.62673 .92706 (274*2π)/5732 weeks
2751.5334 2.46957 (275*2π)/5732 weeks
276-.59718 .93852 (276*2π)/5732 weeks
277-.55577 -1.75322 (277*2π)/5732 weeks
2781.67043 -2.68346 (278*2π)/5732 weeks
2794.13222 -1.91148 (279*2π)/5732 weeks
2804.77527 1.55472 (280*2π)/5732 weeks
2811.14536 3.35505 (281*2π)/5732 weeks
282-1.11682 .84821 (282*2π)/5732 weeks
283-.55733 -1.21265 (283*2π)/5732 weeks
284.99285 -2.36479 (284*2π)/5732 weeks
2852.37412 -2.5151 (285*2π)/5732 weeks
2864.59042 -1.47117 (286*2π)/5732 weeks
2874.59042 1.47117 (287*2π)/5732 weeks
2882.37412 2.5151 (288*2π)/5732 weeks
289.99285 2.36479 (289*2π)/5732 weeks
290-.55733 1.21265 (290*2π)/5732 weeks
291-1.11682 -.84821 (291*2π)/5732 weeks
2921.14536 -3.35505 (292*2π)/5732 weeks
2934.77527 -1.55472 (293*2π)/5732 weeks
2944.13222 1.91148 (294*2π)/5732 weeks
2951.67043 2.68346 (295*2π)/5732 weeks
296-.55577 1.75322 (296*2π)/5732 weeks
297-.59718 -.93852 (297*2π)/5732 weeks
2981.5334 -2.46957 (298*2π)/5732 weeks
2994.62673 -.92706 (299*2π)/5732 weeks
3003.66424 3.04916 (300*2π)/5732 weeks
301-.08596 3.41241 (301*2π)/5732 weeks
302-2.13982 .26151 (302*2π)/5732 weeks
303-.67534 -2.33756 (303*2π)/5732 weeks
3042.14562 -3.50749 (304*2π)/5732 weeks
3055.62148 -1.12169 (305*2π)/5732 weeks
3064.44754 3.39 (306*2π)/5732 weeks
307.53156 4.14964 (307*2π)/5732 weeks
308-2.24541 1.88169 (308*2π)/5732 weeks
309-1.82373 -1.12914 (309*2π)/5732 weeks
310-.32514 -2.97591 (310*2π)/5732 weeks
3112.58515 -3.41333 (311*2π)/5732 weeks
3125.00444 -.9158 (312*2π)/5732 weeks
3133.871 2.40724 (313*2π)/5732 weeks
314.77991 2.8803 (314*2π)/5732 weeks
315-.84699 1.52875 (315*2π)/5732 weeks
316-.93026 -1.50757 (316*2π)/5732 weeks
3171.77991 -2.08249 (317*2π)/5732 weeks
3182.87367 -.15731 (318*2π)/5732 weeks
3192.29751 .85687 (319*2π)/5732 weeks
3201.19419 2.02936 (320*2π)/5732 weeks
321-1.12506 .81741 (321*2π)/5732 weeks
322-.7669 -1.41734 (322*2π)/5732 weeks
323.68671 -3.07147 (323*2π)/5732 weeks
3244.21231 -2.09986 (324*2π)/5732 weeks
3254.19554 1.07446 (325*2π)/5732 weeks
3262.40562 3.00333 (326*2π)/5732 weeks
327-.97106 2.6167 (327*2π)/5732 weeks
328-2.01133 -.68853 (328*2π)/5732 weeks
329.4709 -2.95189 (329*2π)/5732 weeks
3303.38721 -1.8187 (330*2π)/5732 weeks
3313.59104 1.19055 (331*2π)/5732 weeks
332.95482 2.75106 (332*2π)/5732 weeks
333-1.22065 1.28424 (333*2π)/5732 weeks
334-1.5764 -1.11327 (334*2π)/5732 weeks
335.33576 -3.48777 (335*2π)/5732 weeks
3364.20773 -2.04898 (336*2π)/5732 weeks
3373.41556 1.98626 (337*2π)/5732 weeks
338.21935 2.8096 (338*2π)/5732 weeks
339-2.34707 .5014 (339*2π)/5732 weeks
340-.99356 -2.69182 (340*2π)/5732 weeks
3411.50047 -2.433 (341*2π)/5732 weeks
3421.9837 -1.54532 (342*2π)/5732 weeks
3432.07124 -.67769 (343*2π)/5732 weeks
3441.22189 -.1849 (344*2π)/5732 weeks
345.96457 -1.59394 (345*2π)/5732 weeks
3463.147 -1.55913 (346*2π)/5732 weeks
3473.54328 1.17149 (347*2π)/5732 weeks
348.78276 2.45687 (348*2π)/5732 weeks
349-1.81924 .58134 (349*2π)/5732 weeks
350-1.1156 -3.1561 (350*2π)/5732 weeks
3512.78964 -3.20495 (351*2π)/5732 weeks
3523.76456 -.70657 (352*2π)/5732 weeks
3532.88726 1.23056 (353*2π)/5732 weeks
354-.09599 1.85642 (354*2π)/5732 weeks
355-1.18054 -1.38482 (355*2π)/5732 weeks
3561.58156 -3.25494 (356*2π)/5732 weeks
3574.08859 -1.73206 (357*2π)/5732 weeks
3583.95882 1.63479 (358*2π)/5732 weeks
359.76532 2.46648 (359*2π)/5732 weeks
360-.19705 .49461 (360*2π)/5732 weeks
361-.14656 .30061 (361*2π)/5732 weeks
362-.41218 -1.54377 (362*2π)/5732 weeks
3631.56044 -1.05438 (363*2π)/5732 weeks
364.32199 -.65929 (364*2π)/5732 weeks
3651.19561 -1.17441 (365*2π)/5732 weeks
366.74485 -.67746 (366*2π)/5732 weeks
367.42119 -1.5466 (367*2π)/5732 weeks
3681.00692 -2.11046 (368*2π)/5732 weeks
3692.35505 -2.99775 (369*2π)/5732 weeks
3704.47593 -.70798 (370*2π)/5732 weeks
3712.45614 .99968 (371*2π)/5732 weeks
3722.00897 .4161 (372*2π)/5732 weeks
3731.52861 1.1123 (373*2π)/5732 weeks
374.36901 .92752 (374*2π)/5732 weeks
375.01657 -.09244 (375*2π)/5732 weeks
376.37899 -1.01662 (376*2π)/5732 weeks
3771.21026 -.80761 (377*2π)/5732 weeks
3781.02557 .02367 (378*2π)/5732 weeks
379.20403 -.05502 (379*2π)/5732 weeks
380-.85504 -1.13846 (380*2π)/5732 weeks
381.10654 -3.26552 (381*2π)/5732 weeks
3822.59772 -3.13396 (382*2π)/5732 weeks
3834.18105 -.99311 (383*2π)/5731 weeks
3842.93174 1.70801 (384*2π)/5731 weeks
385-.26068 1.81997 (385*2π)/5731 weeks
386-1.81135 -.82216 (386*2π)/5731 weeks
387-.50348 -3.39019 (387*2π)/5731 weeks
3882.3036 -3.64258 (388*2π)/5731 weeks
3894.09004 -1.97525 (389*2π)/5731 weeks
3903.99548 .41231 (390*2π)/5731 weeks
3911.9081 1.83351 (391*2π)/5731 weeks
392-.05337 1.257 (392*2π)/5731 weeks
393-1.05326 -.73511 (393*2π)/5731 weeks
394.46809 -2.83791 (394*2π)/5731 weeks
3952.71681 -2.12601 (395*2π)/5731 weeks
3963.28547 .05145 (396*2π)/5731 weeks
3971.42208 1.96589 (397*2π)/5731 weeks
398-1.50661 .90016 (398*2π)/5731 weeks
399-1.51634 -2.2495 (399*2π)/5731 weeks
400.8225 -3.34867 (400*2π)/5731 weeks
4012.48299 -2.48957 (401*2π)/5731 weeks
4022.93325 -.39548 (402*2π)/5731 weeks
4031.03552 .05586 (403*2π)/5731 weeks
404.38248 -.90407 (404*2π)/5731 weeks
4051.01028 -1.60945 (405*2π)/5731 weeks
4061.17209 -1.00112 (406*2π)/5731 weeks
407.57762 -2.28115 (407*2π)/5731 weeks
4083.01574 -1.94388 (408*2π)/5731 weeks
4092.06144 .08583 (409*2π)/5731 weeks
4101.10507 -.54312 (410*2π)/5731 weeks
4111.00894 -.68148 (411*2π)/5731 weeks
412.85657 -1.69136 (412*2π)/5731 weeks
4132.02835 -1.68389 (413*2π)/5731 weeks
4142.20253 -1.1585 (414*2π)/5731 weeks
4152.88128 .33472 (415*2π)/5731 weeks
416.03799 1.91071 (416*2π)/5731 weeks
417-1.74106 -1.0199 (417*2π)/5731 weeks
418-.54511 -3.01157 (418*2π)/5731 weeks
4191.93739 -4.12145 (419*2π)/5731 weeks
4204.04795 -1.57683 (420*2π)/5731 weeks
4212.67127 1.08303 (421*2π)/5731 weeks
422-.0449 1.39728 (422*2π)/5731 weeks
423-2.17599 -1.84892 (423*2π)/5731 weeks
4241.20048 -4.68142 (424*2π)/5731 weeks
4253.91195 -1.46034 (425*2π)/5731 weeks
4261.72911 .18853 (426*2π)/5731 weeks
4271.34836 .10169 (427*2π)/5731 weeks
428-.09558 -.16362 (428*2π)/5731 weeks
429-.68556 -1.03729 (429*2π)/5731 weeks
430-1.73517 -2.8343 (430*2π)/5731 weeks
431.72013 -5.64124 (431*2π)/5731 weeks
4324.45659 -4.01649 (432*2π)/5731 weeks
4334.86648 -1.19208 (433*2π)/5731 weeks
4343.32045 1.39851 (434*2π)/5731 weeks
435-.43908 1.40612 (435*2π)/5731 weeks
436-1.08972 -2.13561 (436*2π)/5731 weeks
4371.44263 -3.49183 (437*2π)/5731 weeks
4383.10111 -1.83654 (438*2π)/5731 weeks
4392.31781 .14394 (439*2π)/5731 weeks
440.69296 -.01446 (440*2π)/5731 weeks
441-.77863 -.49624 (441*2π)/5731 weeks
442-1.44099 -2.85214 (442*2π)/5731 weeks
443.58195 -5.35888 (443*2π)/5731 weeks
4444.73075 -4.91524 (444*2π)/5731 weeks
4455.84352 -.21194 (445*2π)/5731 weeks
4462.37745 2.63142 (446*2π)/5731 weeks
447-1.70971 .51085 (447*2π)/5731 weeks
448-1.22622 -3.11926 (448*2π)/5731 weeks
4491.71556 -4.70612 (449*2π)/5731 weeks
4504.07146 -2.82195 (450*2π)/5731 weeks
4514.20404 -.2135 (451*2π)/5731 weeks
4521.64729 2.32987 (452*2π)/5731 weeks
453-2.42668 1.04226 (453*2π)/5731 weeks
454-3.26403 -3.97415 (454*2π)/5731 weeks
455.60987 -6.77359 (455*2π)/5731 weeks
4565.29417 -6.21218 (456*2π)/5731 weeks
4578.00397 -.75339 (457*2π)/5731 weeks
4583.55557 4.88551 (458*2π)/5731 weeks
459-3.19629 3.15661 (459*2π)/5731 weeks
460-4.86399 -3.59562 (460*2π)/5731 weeks
461-.22148 -8.1336 (461*2π)/5731 weeks
4625.75413 -7.20403 (462*2π)/5731 weeks
4638.94748 -.97059 (463*2π)/5731 weeks
4644.82159 4.47856 (464*2π)/5731 weeks
465-1.9424 4.55962 (465*2π)/5731 weeks
466-5.18615 -1.82739 (466*2π)/5731 weeks
467-1.18084 -7.25701 (467*2π)/5731 weeks
4684.8283 -6.27949 (468*2π)/5731 weeks
4697.28762 -1.02586 (469*2π)/5731 weeks
4703.33559 3.65034 (470*2π)/5731 weeks
471-1.89862 2.24072 (471*2π)/5731 weeks
472-2.88534 -2.25694 (472*2π)/5731 weeks
473-.05654 -4.96892 (473*2π)/5731 weeks
4743.03698 -3.03454 (474*2π)/5731 weeks
4751.37509 -1.04943 (475*2π)/5731 weeks
4761.31384 -2.42237 (476*2π)/5731 weeks
4771.75924 -1.06877 (477*2π)/5731 weeks
478-.14002 -.59748 (478*2π)/5731 weeks
479-1.96132 -2.60805 (479*2π)/5731 weeks
480-1.33574 -5.67183 (480*2π)/5731 weeks
4812.3325 -7.72602 (481*2π)/5731 weeks
4827.60173 -5.02443 (482*2π)/5731 weeks
4837.48058 1.20286 (483*2π)/5731 weeks
4841.2335 4.94759 (484*2π)/5731 weeks
485-4.7013 -.06838 (485*2π)/5731 weeks
486-2.67552 -5.19471 (486*2π)/5731 weeks
487.43807 -7.63692 (487*2π)/5731 weeks
4885.94141 -6.58792 (488*2π)/5731 weeks
4897.47311 -1.33975 (489*2π)/5731 weeks
4904.93904 3.39478 (490*2π)/5731 weeks
491-2.38328 3.29505 (491*2π)/5731 weeks
492-3.33328 -4.3484 (492*2π)/5731 weeks
4931.9206 -4.618 (493*2π)/5731 weeks
4941.98763 -4.43781 (494*2π)/5731 weeks
4956.34211 -2.3137 (495*2π)/5731 weeks
4963.35512 4.3028 (496*2π)/5731 weeks
497-4.2516 2.58089 (497*2π)/5731 weeks
498-6.50821 -3.91588 (498*2π)/5731 weeks
499-1.64429 -9.19134 (499*2π)/5731 weeks
5004.73657 -6.80353 (500*2π)/5731 weeks
5013.34311 -2.15312 (501*2π)/5731 weeks
5022.02564 -3.41869 (502*2π)/5731 weeks
5031.36636 -2.52214 (503*2π)/5731 weeks
5042.84467 -5.3794 (504*2π)/5731 weeks
5055.75751 -1.49426 (505*2π)/5731 weeks
5062.23019 2.71081 (506*2π)/5731 weeks
507-2.45592 .5014 (507*2π)/5731 weeks
508-4.02696 -3.43715 (508*2π)/5731 weeks
509.44954 -7.05788 (509*2π)/5731 weeks
5102.94811 -3.15501 (510*2π)/5731 weeks
511-.04026 -2.3739 (511*2π)/5731 weeks
512-1.26191 -4.23949 (512*2π)/5731 weeks
513-.1568 -7.51372 (513*2π)/5731 weeks
5145.08649 -8.74106 (514*2π)/5731 weeks
5158.77155 -1.11002 (515*2π)/5731 weeks
5162.13333 3.15222 (516*2π)/5731 weeks
517-1.73537 -.09368 (517*2π)/5731 weeks
518-2.05131 -2.31965 (518*2π)/5731 weeks
519-.99243 -5.56824 (519*2π)/5731 weeks
5201.48534 -3.77247 (520*2π)/5731 weeks
521-.00168 -2.42318 (521*2π)/5731 weeks
522-1.73722 -2.84676 (522*2π)/5731 weeks
523-2.24218 -4.2787 (523*2π)/5731 weeks
524-3.60888 -7.98578 (524*2π)/5731 weeks
5251.43601 -9.1614 (525*2π)/5731 weeks
5262.06408 -6.10688 (526*2π)/5731 weeks
5271.79481 -7.27233 (527*2π)/5731 weeks
5282.32848 -5.83052 (528*2π)/5731 weeks
5294.10885 -7.34073 (529*2π)/5731 weeks
5306.31732 -1.67304 (530*2π)/5731 weeks
531-1.47008 1.22714 (531*2π)/5731 weeks
532-6.30197 -3.28713 (532*2π)/5731 weeks
533-6.80907 -11.56348 (533*2π)/5731 weeks
534.76016 -18.55896 (534*2π)/5731 weeks
53514.50893 -14.85648 (535*2π)/5731 weeks
53618.50232 .59688 (536*2π)/5731 weeks
5375.72916 16.4003 (537*2π)/5731 weeks
538-19.37601 10.07818 (538*2π)/5731 weeks
539-22.5395 -16.50401 (539*2π)/5731 weeks
540-1.50389 -30.46165 (540*2π)/5731 weeks
54118.96053 -20.46446 (541*2π)/5731 weeks
54218.29787 2.9039 (542*2π)/5731 weeks
543-1.19127 10.97336 (543*2π)/5731 weeks
544-13.69257 .03548 (544*2π)/5731 weeks
545-15.51408 -13.99354 (545*2π)/5731 weeks
546-2.48626 -26.33146 (546*2π)/5731 weeks
54710.1112 -18.4768 (547*2π)/5731 weeks
5489.206 -8.92461 (548*2π)/5731 weeks
5491.24751 -5.67615 (549*2π)/5731 weeks
550.30328 -13.97077 (550*2π)/5731 weeks
5516.07307 -11.56922 (551*2π)/5731 weeks
552.62102 -8.42128 (552*2π)/5731 weeks
553-.39317 -16.05054 (553*2π)/5731 weeks
5549.27323 -15.71331 (554*2π)/5731 weeks
5555.70073 -4.73889 (555*2π)/5731 weeks
556.51836 -9.65993 (556*2π)/5731 weeks
557-1.77623 -8.14765 (557*2π)/5731 weeks
558-9.67175 -12.50406 (558*2π)/5731 weeks
559-12.78574 -26.15504 (559*2π)/5731 weeks
5602.31356 -41.44492 (560*2π)/5731 weeks
56126.80125 -31.1811 (561*2π)/5731 weeks
56222.84344 -7.57807 (562*2π)/5731 weeks
56311.91449 .75114 (563*2π)/5731 weeks
564-17.25012 5.77118 (564*2π)/5731 weeks
565-39.80748 -39.60268 (565*2π)/5731 weeks
5662.71451 -71.60966 (566*2π)/5731 weeks
56744.09026 -49.32151 (567*2π)/5731 weeks
56832.61972 1.39921 (568*2π)/5731 weeks
569-42.77551 16.82642 (569*2π)/5731 weeks
570-123.6423 -84.11707 (570*2π)/5731 weeks
571-79.49203 -264.0574 (571*2π)/5731 weeks



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