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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 43 weeks (39.1443*sine), 47 weeks (38.3397*sine), and 51 weeks (27.3755*cosine).

SCC (PROSHARES ULTRASHORT CONSUMER SERVICES PROSHARES ULTRASHORT CONSUMER SERVICES) has an average price of 397.47 (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 10/16/2017 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
0397.4737   0 
1195.6565 465.9172 (1*2π)/560560 weeks
2-86.45258 260.7002 (2*2π)/560280 weeks
3-123.8509 74.43629 (3*2π)/560187 weeks
4-34.2631 -19.98823 (4*2π)/560140 weeks
537.8899 3.68172 (5*2π)/560112 weeks
640.99841 56.94637 (6*2π)/56093 weeks
7-5.37602 72.51182 (7*2π)/56080 weeks
8-41.83074 28.74901 (8*2π)/56070 weeks
9-9.03084 -7.91032 (9*2π)/56062 weeks
1014.72805 2.05772 (10*2π)/56056 weeks
1127.37546 12.03738 (11*2π)/56051 weeks
1222.2758 38.33974 (12*2π)/56047 weeks
13-4.30328 39.14429 (13*2π)/56043 weeks
14-12.90461 20.83022 (14*2π)/56040 weeks
15-7.06622 9.71967 (15*2π)/56037 weeks
16.20549 8.66856 (16*2π)/56035 weeks
17.1388 7.81352 (17*2π)/56033 weeks
1810.6323 8.4414 (18*2π)/56031 weeks
195.09121 18.36971 (19*2π)/56029 weeks
20-1.58007 12.17435 (20*2π)/56028 weeks
214.52097 8.32967 (21*2π)/56027 weeks
224.06612 14.50234 (22*2π)/56025 weeks
23-1.68632 9.63834 (23*2π)/56024 weeks
246.90031 6.19051 (24*2π)/56023 weeks
2511.17392 13.87593 (25*2π)/56022 weeks
264.43671 25.03475 (26*2π)/56022 weeks
27-13.65895 20.56142 (27*2π)/56021 weeks
28-15.73755 4.84006 (28*2π)/56020 weeks
29-7.13772 -8.347 (29*2π)/56019 weeks
3013.98881 -7.92209 (30*2π)/56019 weeks
3122.61558 14.03863 (31*2π)/56018 weeks
324.6433 30.16047 (32*2π)/56018 weeks
33-19.78661 22.27019 (33*2π)/56017 weeks
34-23.33206 -5.0196 (34*2π)/56016 weeks
351.16834 -18.07143 (35*2π)/56016 weeks
3618.26075 -3.64498 (36*2π)/56016 weeks
3716.29514 13.25634 (37*2π)/56015 weeks
382.29297 19.34749 (38*2π)/56015 weeks
39-6.58057 12.58518 (39*2π)/56014 weeks
40-6.73923 3.76027 (40*2π)/56014 weeks
41-1.86094 -1.1411 (41*2π)/56014 weeks
426.36946 1.43295 (42*2π)/56013 weeks
434.19752 7.44432 (43*2π)/56013 weeks
442.41157 5.90042 (44*2π)/56013 weeks
451.70658 7.35146 (45*2π)/56012 weeks
462.25367 6.28889 (46*2π)/56012 weeks
471.07516 9.51909 (47*2π)/56012 weeks
48-4.01541 7.37606 (48*2π)/56012 weeks
49-2.23451 4.32632 (49*2π)/56011 weeks
50-1.47134 2.65977 (50*2π)/56011 weeks
51.3007 2.45663 (51*2π)/56011 weeks
521.41256 4.40236 (52*2π)/56011 weeks
53-2.011 5.07923 (53*2π)/56011 weeks
54-1.9649 2.02004 (54*2π)/56010 weeks
55-1.29665 -.89702 (55*2π)/56010 weeks
564.56675 -3.08574 (56*2π)/56010 weeks
579.27264 4.31316 (57*2π)/56010 weeks
582.76774 8.98687 (58*2π)/56010 weeks
59-1.14816 6.39241 (59*2π)/5609 weeks
60-.9603 3.41977 (60*2π)/5609 weeks
611.03219 1.99368 (61*2π)/5609 weeks
622.91155 5.42009 (62*2π)/5609 weeks
63-2.45756 6.63998 (63*2π)/5609 weeks
64-3.42519 1.19118 (64*2π)/5609 weeks
65-.69853 -2.31438 (65*2π)/5609 weeks
665.08638 -.93357 (66*2π)/5608 weeks
675.14129 4.34936 (67*2π)/5608 weeks
68.8337 3.84893 (68*2π)/5608 weeks
692.53712 3.03265 (69*2π)/5608 weeks
702.08496 2.32411 (70*2π)/5608 weeks
715.23561 4.72117 (71*2π)/5608 weeks
72.79435 9.67578 (72*2π)/5608 weeks
73-5.74194 6.30519 (73*2π)/5608 weeks
74-5.41467 -1.10692 (74*2π)/5608 weeks
751.20717 -5.13909 (75*2π)/5607 weeks
766.72487 .55673 (76*2π)/5607 weeks
772.78491 4.85438 (77*2π)/5607 weeks
782.10135 4.09279 (78*2π)/5607 weeks
79-2.43504 5.2554 (79*2π)/5607 weeks
80-3.35139 -2.52284 (80*2π)/5607 weeks
814.32366 -3.99548 (81*2π)/5607 weeks
827.52629 .86267 (82*2π)/5607 weeks
836.38221 6.37656 (83*2π)/5607 weeks
84.68207 7.88915 (84*2π)/5607 weeks
85-2.66581 5.3577 (85*2π)/5607 weeks
86-4.82095 .06296 (86*2π)/5607 weeks
871.41689 -5.10239 (87*2π)/5606 weeks
887.76071 -.989 (88*2π)/5606 weeks
897.54648 5.52533 (89*2π)/5606 weeks
901.9504 7.79382 (90*2π)/5606 weeks
91-1.58479 5.37631 (91*2π)/5606 weeks
92-1.93466 2.20175 (92*2π)/5606 weeks
93.17764 .5192 (93*2π)/5606 weeks
941.93693 1.39207 (94*2π)/5606 weeks
95.99042 2.36358 (95*2π)/5606 weeks
962.01301 1.07199 (96*2π)/5606 weeks
972.74617 3.97543 (97*2π)/5606 weeks
98-1.15553 4.62897 (98*2π)/5606 weeks
99-3.20226 .96934 (99*2π)/5606 weeks
100-.51403 -3.38395 (100*2π)/5606 weeks
1015.37775 -2.78529 (101*2π)/5606 weeks
1027.11648 3.38856 (102*2π)/5605 weeks
1032.82045 7.54844 (103*2π)/5605 weeks
104-3.62518 5.74009 (104*2π)/5605 weeks
105-4.82692 -1.3929 (105*2π)/5605 weeks
1061.41391 -5.5403 (106*2π)/5605 weeks
1077.55669 -2.64466 (107*2π)/5605 weeks
1088.34291 4.82462 (108*2π)/5605 weeks
1092.71127 8.41219 (109*2π)/5605 weeks
110-3.48868 6.34502 (110*2π)/5605 weeks
111-5.04292 -.51969 (111*2π)/5605 weeks
112.61035 -5.10815 (112*2π)/5605 weeks
1137.4787 -1.95293 (113*2π)/5605 weeks
1147.01749 4.826 (114*2π)/5605 weeks
1152.01978 7.08181 (115*2π)/5605 weeks
116-2.39766 5.45897 (116*2π)/5605 weeks
117-3.34873 .17515 (117*2π)/5605 weeks
118.57569 -2.4369 (118*2π)/5605 weeks
1194.10538 -.53305 (119*2π)/5605 weeks
1204.37108 2.2722 (120*2π)/5605 weeks
1212.4329 4.58292 (121*2π)/5605 weeks
122-.94875 3.59177 (122*2π)/5605 weeks
123-1.97223 .08998 (123*2π)/5605 weeks
1241.80604 -2.78204 (124*2π)/5605 weeks
1255.75355 -.24287 (125*2π)/5604 weeks
1265.11898 4.73864 (126*2π)/5604 weeks
127.75279 5.53836 (127*2π)/5604 weeks
128-1.48159 2.98608 (128*2π)/5604 weeks
129-.82293 .50028 (129*2π)/5604 weeks
130.7064 -.00769 (130*2π)/5604 weeks
1312.44198 -.10988 (131*2π)/5604 weeks
1323.12758 2.004 (132*2π)/5604 weeks
1331.2088 3.58676 (133*2π)/5604 weeks
134-1.27971 1.82101 (134*2π)/5604 weeks
135.04753 -1.8074 (135*2π)/5604 weeks
1363.78161 -1.12807 (136*2π)/5604 weeks
1374.9557 1.70473 (137*2π)/5604 weeks
1384.07633 4.8068 (138*2π)/5604 weeks
139-.18529 5.38045 (139*2π)/5604 weeks
140-1.64704 2.05985 (140*2π)/5604 weeks
141-.59867 .85064 (141*2π)/5604 weeks
142.19654 -.11896 (142*2π)/5604 weeks
1431.4918 .22141 (143*2π)/5604 weeks
1442.62429 -.21478 (144*2π)/5604 weeks
1453.81483 3.07871 (145*2π)/5604 weeks
146-.64636 4.25257 (146*2π)/5604 weeks
147-1.91944 -.03881 (147*2π)/5604 weeks
1481.22384 -1.50809 (148*2π)/5604 weeks
1493.77531 -.1137 (149*2π)/5604 weeks
1503.59387 3.13855 (150*2π)/5604 weeks
151.28303 3.85886 (151*2π)/5604 weeks
152-1.31013 2.23772 (152*2π)/5604 weeks
153-1.41969 -.83284 (153*2π)/5604 weeks
1542.26002 -1.51284 (154*2π)/5604 weeks
1552.69192 .91176 (155*2π)/5604 weeks
1562.20759 1.28727 (156*2π)/5604 weeks
1571.2726 1.89699 (157*2π)/5604 weeks
158.70923 .83268 (158*2π)/5604 weeks
1591.09735 .6921 (159*2π)/5604 weeks
1601.5515 -.01342 (160*2π)/5604 weeks
1613.21282 1.23385 (161*2π)/5603 weeks
1621.09013 2.76518 (162*2π)/5603 weeks
163.91754 .99053 (163*2π)/5603 weeks
1641.18605 1.59755 (164*2π)/5603 weeks
165.39942 1.11842 (165*2π)/5603 weeks
166.88504 .04963 (166*2π)/5603 weeks
1672.77759 .11871 (167*2π)/5603 weeks
1682.6505 2.40341 (168*2π)/5603 weeks
169.99461 3.3896 (169*2π)/5603 weeks
170-1.47283 2.42986 (170*2π)/5603 weeks
171-1.62143 -.83674 (171*2π)/5603 weeks
1721.41692 -2.02389 (172*2π)/5603 weeks
1733.35327 -.02138 (173*2π)/5603 weeks
1742.69795 2.23285 (174*2π)/5603 weeks
175.2856 2.84368 (175*2π)/5603 weeks
176-1.08206 .53258 (176*2π)/5603 weeks
177.1344 -1.4228 (177*2π)/5603 weeks
1782.26213 -1.8637 (178*2π)/5603 weeks
1794.1928 -.05183 (179*2π)/5603 weeks
1803.95096 2.45661 (180*2π)/5603 weeks
1811.8477 3.9157 (181*2π)/5603 weeks
182-1.01462 2.97751 (182*2π)/5603 weeks
183-1.76273 .01677 (183*2π)/5603 weeks
184.55518 -2.23239 (184*2π)/5603 weeks
1853.65051 -1.06965 (185*2π)/5603 weeks
1863.98336 1.96443 (186*2π)/5603 weeks
1871.88534 3.49821 (187*2π)/5603 weeks
188-.64053 2.59507 (188*2π)/5603 weeks
189-.59293 .44537 (189*2π)/5603 weeks
190.4609 .00339 (190*2π)/5603 weeks
1911.32641 .34986 (191*2π)/5603 weeks
192.92507 1.06351 (192*2π)/5603 weeks
193.00047 .60525 (193*2π)/5603 weeks
194.01899 -.34328 (194*2π)/5603 weeks
1951.036 -1.15183 (195*2π)/5603 weeks
1962.08692 -.75802 (196*2π)/5603 weeks
1971.98926 -.67274 (197*2π)/5603 weeks
1983.97345 -.57264 (198*2π)/5603 weeks
1993.5875 2.74884 (199*2π)/5603 weeks
2001.22619 2.46035 (200*2π)/5603 weeks
201.65249 1.85718 (201*2π)/5603 weeks
202.52356 .84119 (202*2π)/5603 weeks
2031.25523 .9031 (203*2π)/5603 weeks
204.36155 1.10495 (204*2π)/5603 weeks
2051.47503 .56036 (205*2π)/5603 weeks
206.06854 1.88389 (206*2π)/5603 weeks
207-.439 -.18901 (207*2π)/5603 weeks
208-.10336 -.32979 (208*2π)/5603 weeks
209.36855 -2.26886 (209*2π)/5603 weeks
2103.71584 -2.02351 (210*2π)/5603 weeks
2114.34978 1.47102 (211*2π)/5603 weeks
2121.86462 3.28278 (212*2π)/5603 weeks
213-1.15836 1.60067 (213*2π)/5603 weeks
214-.22346 -1.83231 (214*2π)/5603 weeks
2152.92783 -1.27949 (215*2π)/5603 weeks
2163.84084 .75362 (216*2π)/5603 weeks
2172.73845 3.36736 (217*2π)/5603 weeks
218-1.35048 3.0243 (218*2π)/5603 weeks
219-1.737 -.87655 (219*2π)/5603 weeks
2201.12389 -2.53553 (220*2π)/5603 weeks
2213.78611 -.79596 (221*2π)/5603 weeks
2222.88238 1.84966 (222*2π)/5603 weeks
223.80099 1.31866 (223*2π)/5603 weeks
2241.51458 .14846 (224*2π)/5603 weeks
2252.15693 .86292 (225*2π)/5602 weeks
2261.88625 1.72707 (226*2π)/5602 weeks
2271.05255 2.87192 (227*2π)/5602 weeks
228-1.81361 2.11569 (228*2π)/5602 weeks
229-1.8392 -1.62725 (229*2π)/5602 weeks
2301.37391 -2.94085 (230*2π)/5602 weeks
2314.40517 -.87152 (231*2π)/5602 weeks
2322.95922 3.37201 (232*2π)/5602 weeks
233-.91698 2.68004 (233*2π)/5602 weeks
234-1.72382 .05699 (234*2π)/5602 weeks
235-.48655 -2.16914 (235*2π)/5602 weeks
2362.54503 -2.48571 (236*2π)/5602 weeks
2373.98659 .29448 (237*2π)/5602 weeks
2382.03026 2.87589 (238*2π)/5602 weeks
239-1.25481 2.15478 (239*2π)/5602 weeks
240-1.91867 -1.37597 (240*2π)/5602 weeks
2411.09306 -3.46065 (241*2π)/5602 weeks
2423.72758 -1.94399 (242*2π)/5602 weeks
2434.69363 .81304 (243*2π)/5602 weeks
2441.88133 3.49506 (244*2π)/5602 weeks
245-.47392 1.93345 (245*2π)/5602 weeks
246-1.29976 -.04276 (246*2π)/5602 weeks
247.48627 -2.14802 (247*2π)/5602 weeks
2482.24063 -1.1208 (248*2π)/5602 weeks
2492.79 -.18841 (249*2π)/5602 weeks
2502.2761 1.86912 (250*2π)/5602 weeks
251-.49798 1.91513 (251*2π)/5602 weeks
252-1.15871 -1.26009 (252*2π)/5602 weeks
253.48828 -2.76156 (253*2π)/5602 weeks
2543.65465 -2.6909 (254*2π)/5602 weeks
2555.16022 .62204 (255*2π)/5602 weeks
2562.81609 3.43334 (256*2π)/5602 weeks
257-.26677 3.09628 (257*2π)/5602 weeks
258-1.86921 1.1754 (258*2π)/5602 weeks
259-2.29538 -1.97181 (259*2π)/5602 weeks
260.65643 -4.27895 (260*2π)/5602 weeks
2614.75027 -3.27616 (261*2π)/5602 weeks
2625.5672 1.529 (262*2π)/5602 weeks
2631.78999 3.56484 (263*2π)/5602 weeks
264-.95401 2.13577 (264*2π)/5602 weeks
265-2.204 -.88852 (265*2π)/5602 weeks
266.52052 -3.70233 (266*2π)/5602 weeks
2674.35331 -2.49135 (267*2π)/5602 weeks
2684.14634 1.72623 (268*2π)/5602 weeks
269.84162 2.33737 (269*2π)/5602 weeks
270-.89909 .33217 (270*2π)/5602 weeks
271.08888 -2.36028 (271*2π)/5602 weeks
2722.40549 -2.75634 (272*2π)/5602 weeks
2734.86899 -.96916 (273*2π)/5602 weeks
2743.8987 2.88407 (274*2π)/5602 weeks
275-.18016 2.72523 (275*2π)/5602 weeks
276-1.00359 -.19422 (276*2π)/5602 weeks
277-.05704 -1.97298 (277*2π)/5602 weeks
2781.653 -2.42944 (278*2π)/5602 weeks
2793.50404 -2.46671 (279*2π)/5602 weeks
2805.12469   (280*2π)/5602 weeks
2813.50404 2.46671 (281*2π)/5602 weeks
2821.653 2.42944 (282*2π)/5602 weeks
283-.05704 1.97298 (283*2π)/5602 weeks
284-1.00359 .19422 (284*2π)/5602 weeks
285-.18016 -2.72523 (285*2π)/5602 weeks
2863.8987 -2.88407 (286*2π)/5602 weeks
2874.86899 .96916 (287*2π)/5602 weeks
2882.40549 2.75634 (288*2π)/5602 weeks
289.08888 2.36028 (289*2π)/5602 weeks
290-.89909 -.33217 (290*2π)/5602 weeks
291.84162 -2.33737 (291*2π)/5602 weeks
2924.14634 -1.72623 (292*2π)/5602 weeks
2934.35331 2.49135 (293*2π)/5602 weeks
294.52052 3.70233 (294*2π)/5602 weeks
295-2.204 .88852 (295*2π)/5602 weeks
296-.95401 -2.13577 (296*2π)/5602 weeks
2971.78999 -3.56484 (297*2π)/5602 weeks
2985.5672 -1.529 (298*2π)/5602 weeks
2994.75027 3.27616 (299*2π)/5602 weeks
300.65643 4.27895 (300*2π)/5602 weeks
301-2.29538 1.97181 (301*2π)/5602 weeks
302-1.86921 -1.1754 (302*2π)/5602 weeks
303-.26677 -3.09628 (303*2π)/5602 weeks
3042.81609 -3.43334 (304*2π)/5602 weeks
3055.16022 -.62204 (305*2π)/5602 weeks
3063.65465 2.6909 (306*2π)/5602 weeks
307.48828 2.76156 (307*2π)/5602 weeks
308-1.15871 1.26009 (308*2π)/5602 weeks
309-.49798 -1.91513 (309*2π)/5602 weeks
3102.2761 -1.86912 (310*2π)/5602 weeks
3112.79 .18841 (311*2π)/5602 weeks
3122.24063 1.1208 (312*2π)/5602 weeks
313.48627 2.14802 (313*2π)/5602 weeks
314-1.29976 .04276 (314*2π)/5602 weeks
315-.47392 -1.93345 (315*2π)/5602 weeks
3161.88133 -3.49506 (316*2π)/5602 weeks
3174.69363 -.81304 (317*2π)/5602 weeks
3183.72758 1.94399 (318*2π)/5602 weeks
3191.09306 3.46065 (319*2π)/5602 weeks
320-1.91867 1.37597 (320*2π)/5602 weeks
321-1.25481 -2.15478 (321*2π)/5602 weeks
3222.03026 -2.87589 (322*2π)/5602 weeks
3233.98659 -.29448 (323*2π)/5602 weeks
3242.54503 2.48571 (324*2π)/5602 weeks
325-.48655 2.16914 (325*2π)/5602 weeks
326-1.72382 -.05699 (326*2π)/5602 weeks
327-.91698 -2.68004 (327*2π)/5602 weeks
3282.95922 -3.37201 (328*2π)/5602 weeks
3294.40517 .87152 (329*2π)/5602 weeks
3301.37391 2.94085 (330*2π)/5602 weeks
331-1.8392 1.62725 (331*2π)/5602 weeks
332-1.81361 -2.11569 (332*2π)/5602 weeks
3331.05255 -2.87192 (333*2π)/5602 weeks
3341.88625 -1.72707 (334*2π)/5602 weeks
3352.15693 -.86292 (335*2π)/5602 weeks
3361.51458 -.14846 (336*2π)/5602 weeks
337.80099 -1.31866 (337*2π)/5602 weeks
3382.88238 -1.84966 (338*2π)/5602 weeks
3393.78611 .79596 (339*2π)/5602 weeks
3401.12389 2.53553 (340*2π)/5602 weeks
341-1.737 .87655 (341*2π)/5602 weeks
342-1.35048 -3.0243 (342*2π)/5602 weeks
3432.73845 -3.36736 (343*2π)/5602 weeks
3443.84084 -.75362 (344*2π)/5602 weeks
3452.92783 1.27949 (345*2π)/5602 weeks
346-.22346 1.83231 (346*2π)/5602 weeks
347-1.15836 -1.60067 (347*2π)/5602 weeks
3481.86462 -3.28278 (348*2π)/5602 weeks
3494.34978 -1.47102 (349*2π)/5602 weeks
3503.71584 2.02351 (350*2π)/5602 weeks
351.36855 2.26886 (351*2π)/5602 weeks
352-.10336 .32979 (352*2π)/5602 weeks
353-.439 .18901 (353*2π)/5602 weeks
354.06854 -1.88389 (354*2π)/5602 weeks
3551.47503 -.56036 (355*2π)/5602 weeks
356.36155 -1.10495 (356*2π)/5602 weeks
3571.25523 -.9031 (357*2π)/5602 weeks
358.52356 -.84119 (358*2π)/5602 weeks
359.65249 -1.85718 (359*2π)/5602 weeks
3601.22619 -2.46035 (360*2π)/5602 weeks
3613.5875 -2.74884 (361*2π)/5602 weeks
3623.97345 .57264 (362*2π)/5602 weeks
3631.98926 .67274 (363*2π)/5602 weeks
3642.08692 .75802 (364*2π)/5602 weeks
3651.036 1.15183 (365*2π)/5602 weeks
366.01899 .34328 (366*2π)/5602 weeks
367.00047 -.60525 (367*2π)/5602 weeks
368.92507 -1.06351 (368*2π)/5602 weeks
3691.32641 -.34986 (369*2π)/5602 weeks
370.4609 -.00339 (370*2π)/5602 weeks
371-.59293 -.44537 (371*2π)/5602 weeks
372-.64053 -2.59507 (372*2π)/5602 weeks
3731.88534 -3.49821 (373*2π)/5602 weeks
3743.98336 -1.96443 (374*2π)/5601 weeks
3753.65051 1.06965 (375*2π)/5601 weeks
376.55518 2.23239 (376*2π)/5601 weeks
377-1.76273 -.01677 (377*2π)/5601 weeks
378-1.01462 -2.97751 (378*2π)/5601 weeks
3791.8477 -3.9157 (379*2π)/5601 weeks
3803.95096 -2.45661 (380*2π)/5601 weeks
3814.1928 .05183 (381*2π)/5601 weeks
3822.26213 1.8637 (382*2π)/5601 weeks
383.1344 1.4228 (383*2π)/5601 weeks
384-1.08206 -.53258 (384*2π)/5601 weeks
385.2856 -2.84368 (385*2π)/5601 weeks
3862.69795 -2.23285 (386*2π)/5601 weeks
3873.35327 .02138 (387*2π)/5601 weeks
3881.41692 2.02389 (388*2π)/5601 weeks
389-1.62143 .83674 (389*2π)/5601 weeks
390-1.47283 -2.42986 (390*2π)/5601 weeks
391.99461 -3.3896 (391*2π)/5601 weeks
3922.6505 -2.40341 (392*2π)/5601 weeks
3932.77759 -.11871 (393*2π)/5601 weeks
394.88504 -.04963 (394*2π)/5601 weeks
395.39942 -1.11842 (395*2π)/5601 weeks
3961.18605 -1.59755 (396*2π)/5601 weeks
397.91754 -.99053 (397*2π)/5601 weeks
3981.09013 -2.76518 (398*2π)/5601 weeks
3993.21282 -1.23385 (399*2π)/5601 weeks
4001.5515 .01342 (400*2π)/5601 weeks
4011.09735 -.6921 (401*2π)/5601 weeks
402.70923 -.83268 (402*2π)/5601 weeks
4031.2726 -1.89699 (403*2π)/5601 weeks
4042.20759 -1.28727 (404*2π)/5601 weeks
4052.69192 -.91176 (405*2π)/5601 weeks
4062.26002 1.51284 (406*2π)/5601 weeks
407-1.41969 .83284 (407*2π)/5601 weeks
408-1.31013 -2.23772 (408*2π)/5601 weeks
409.28303 -3.85886 (409*2π)/5601 weeks
4103.59387 -3.13855 (410*2π)/5601 weeks
4113.77531 .1137 (411*2π)/5601 weeks
4121.22384 1.50809 (412*2π)/5601 weeks
413-1.91944 .03881 (413*2π)/5601 weeks
414-.64636 -4.25257 (414*2π)/5601 weeks
4153.81483 -3.07871 (415*2π)/5601 weeks
4162.62429 .21478 (416*2π)/5601 weeks
4171.4918 -.22141 (417*2π)/5601 weeks
418.19654 .11896 (418*2π)/5601 weeks
419-.59867 -.85064 (419*2π)/5601 weeks
420-1.64704 -2.05985 (420*2π)/5601 weeks
421-.18529 -5.38045 (421*2π)/5601 weeks
4224.07633 -4.8068 (422*2π)/5601 weeks
4234.9557 -1.70473 (423*2π)/5601 weeks
4243.78161 1.12807 (424*2π)/5601 weeks
425.04753 1.8074 (425*2π)/5601 weeks
426-1.27971 -1.82101 (426*2π)/5601 weeks
4271.2088 -3.58676 (427*2π)/5601 weeks
4283.12758 -2.004 (428*2π)/5601 weeks
4292.44198 .10988 (429*2π)/5601 weeks
430.7064 .00769 (430*2π)/5601 weeks
431-.82293 -.50028 (431*2π)/5601 weeks
432-1.48159 -2.98608 (432*2π)/5601 weeks
433.75279 -5.53836 (433*2π)/5601 weeks
4345.11898 -4.73864 (434*2π)/5601 weeks
4355.75355 .24287 (435*2π)/5601 weeks
4361.80604 2.78204 (436*2π)/5601 weeks
437-1.97223 -.08998 (437*2π)/5601 weeks
438-.94875 -3.59177 (438*2π)/5601 weeks
4392.4329 -4.58292 (439*2π)/5601 weeks
4404.37108 -2.2722 (440*2π)/5601 weeks
4414.10538 .53305 (441*2π)/5601 weeks
442.57569 2.4369 (442*2π)/5601 weeks
443-3.34873 -.17515 (443*2π)/5601 weeks
444-2.39766 -5.45897 (444*2π)/5601 weeks
4452.01978 -7.08181 (445*2π)/5601 weeks
4467.01749 -4.826 (446*2π)/5601 weeks
4477.4787 1.95293 (447*2π)/5601 weeks
448.61035 5.10815 (448*2π)/5601 weeks
449-5.04292 .51969 (449*2π)/5601 weeks
450-3.48868 -6.34502 (450*2π)/5601 weeks
4512.71127 -8.41219 (451*2π)/5601 weeks
4528.34291 -4.82462 (452*2π)/5601 weeks
4537.55669 2.64466 (453*2π)/5601 weeks
4541.41391 5.5403 (454*2π)/5601 weeks
455-4.82692 1.3929 (455*2π)/5601 weeks
456-3.62518 -5.74009 (456*2π)/5601 weeks
4572.82045 -7.54844 (457*2π)/5601 weeks
4587.11648 -3.38856 (458*2π)/5601 weeks
4595.37775 2.78529 (459*2π)/5601 weeks
460-.51403 3.38395 (460*2π)/5601 weeks
461-3.20226 -.96934 (461*2π)/5601 weeks
462-1.15553 -4.62897 (462*2π)/5601 weeks
4632.74617 -3.97543 (463*2π)/5601 weeks
4642.01301 -1.07199 (464*2π)/5601 weeks
465.99042 -2.36358 (465*2π)/5601 weeks
4661.93693 -1.39207 (466*2π)/5601 weeks
467.17764 -.5192 (467*2π)/5601 weeks
468-1.93466 -2.20175 (468*2π)/5601 weeks
469-1.58479 -5.37631 (469*2π)/5601 weeks
4701.9504 -7.79382 (470*2π)/5601 weeks
4717.54648 -5.52533 (471*2π)/5601 weeks
4727.76071 .989 (472*2π)/5601 weeks
4731.41689 5.10239 (473*2π)/5601 weeks
474-4.82095 -.06296 (474*2π)/5601 weeks
475-2.66581 -5.3577 (475*2π)/5601 weeks
476.68207 -7.88915 (476*2π)/5601 weeks
4776.38221 -6.37656 (477*2π)/5601 weeks
4787.52629 -.86267 (478*2π)/5601 weeks
4794.32366 3.99548 (479*2π)/5601 weeks
480-3.35139 2.52284 (480*2π)/5601 weeks
481-2.43504 -5.2554 (481*2π)/5601 weeks
4822.10135 -4.09279 (482*2π)/5601 weeks
4832.78491 -4.85438 (483*2π)/5601 weeks
4846.72487 -.55673 (484*2π)/5601 weeks
4851.20717 5.13909 (485*2π)/5601 weeks
486-5.41467 1.10692 (486*2π)/5601 weeks
487-5.74194 -6.30519 (487*2π)/5601 weeks
488.79435 -9.67578 (488*2π)/5601 weeks
4895.23561 -4.72117 (489*2π)/5601 weeks
4902.08496 -2.32411 (490*2π)/5601 weeks
4912.53712 -3.03265 (491*2π)/5601 weeks
492.8337 -3.84893 (492*2π)/5601 weeks
4935.14129 -4.34936 (493*2π)/5601 weeks
4945.08638 .93357 (494*2π)/5601 weeks
495-.69853 2.31438 (495*2π)/5601 weeks
496-3.42519 -1.19118 (496*2π)/5601 weeks
497-2.45756 -6.63998 (497*2π)/5601 weeks
4982.91155 -5.42009 (498*2π)/5601 weeks
4991.03219 -1.99368 (499*2π)/5601 weeks
500-.9603 -3.41977 (500*2π)/5601 weeks
501-1.14816 -6.39241 (501*2π)/5601 weeks
5022.76774 -8.98687 (502*2π)/5601 weeks
5039.27264 -4.31316 (503*2π)/5601 weeks
5044.56675 3.08574 (504*2π)/5601 weeks
505-1.29665 .89702 (505*2π)/5601 weeks
506-1.9649 -2.02004 (506*2π)/5601 weeks
507-2.011 -5.07923 (507*2π)/5601 weeks
5081.41256 -4.40236 (508*2π)/5601 weeks
509.3007 -2.45663 (509*2π)/5601 weeks
510-1.47134 -2.65977 (510*2π)/5601 weeks
511-2.23451 -4.32632 (511*2π)/5601 weeks
512-4.01541 -7.37606 (512*2π)/5601 weeks
5131.07516 -9.51909 (513*2π)/5601 weeks
5142.25367 -6.28889 (514*2π)/5601 weeks
5151.70658 -7.35146 (515*2π)/5601 weeks
5162.41157 -5.90042 (516*2π)/5601 weeks
5174.19752 -7.44432 (517*2π)/5601 weeks
5186.36946 -1.43295 (518*2π)/5601 weeks
519-1.86094 1.1411 (519*2π)/5601 weeks
520-6.73923 -3.76027 (520*2π)/5601 weeks
521-6.58057 -12.58518 (521*2π)/5601 weeks
5222.29297 -19.34749 (522*2π)/5601 weeks
52316.29514 -13.25634 (523*2π)/5601 weeks
52418.26075 3.64498 (524*2π)/5601 weeks
5251.16834 18.07143 (525*2π)/5601 weeks
526-23.33206 5.0196 (526*2π)/5601 weeks
527-19.78661 -22.27019 (527*2π)/5601 weeks
5284.6433 -30.16047 (528*2π)/5601 weeks
52922.61558 -14.03863 (529*2π)/5601 weeks
53013.98881 7.92209 (530*2π)/5601 weeks
531-7.13772 8.347 (531*2π)/5601 weeks
532-15.73755 -4.84006 (532*2π)/5601 weeks
533-13.65895 -20.56142 (533*2π)/5601 weeks
5344.43671 -25.03475 (534*2π)/5601 weeks
53511.17392 -13.87593 (535*2π)/5601 weeks
5366.90031 -6.19051 (536*2π)/5601 weeks
537-1.68632 -9.63834 (537*2π)/5601 weeks
5384.06612 -14.50234 (538*2π)/5601 weeks
5394.52097 -8.32967 (539*2π)/5601 weeks
540-1.58007 -12.17435 (540*2π)/5601 weeks
5415.09121 -18.36971 (541*2π)/5601 weeks
54210.6323 -8.4414 (542*2π)/5601 weeks
543.1388 -7.81352 (543*2π)/5601 weeks
544.20549 -8.66856 (544*2π)/5601 weeks
545-7.06622 -9.71967 (545*2π)/5601 weeks
546-12.90461 -20.83022 (546*2π)/5601 weeks
547-4.30328 -39.14429 (547*2π)/5601 weeks
54822.2758 -38.33974 (548*2π)/5601 weeks
54927.37546 -12.03738 (549*2π)/5601 weeks
55014.72805 -2.05772 (550*2π)/5601 weeks
551-9.03084 7.91032 (551*2π)/5601 weeks
552-41.83074 -28.74901 (552*2π)/5601 weeks
553-5.37602 -72.51182 (553*2π)/5601 weeks
55440.99841 -56.94637 (554*2π)/5601 weeks
55537.8899 -3.68172 (555*2π)/5601 weeks
556-34.2631 19.98823 (556*2π)/5601 weeks
557-123.8509 -74.43629 (557*2π)/5601 weeks
558-86.45258 -260.7002 (558*2π)/5601 weeks



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