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Fourier Analysis of SDP (PROSHARES ULTRASHORT UTILITIES PROSHARES ULTRASHORT UTILITIES)


SDP (PROSHARES ULTRASHORT UTILITIES PROSHARES ULTRASHORT UTILITIES) appears to have interesting cyclic behaviour every 38 weeks (8.6779*sine), 47 weeks (8.253*sine), and 32 weeks (7.0846*cosine).

SDP (PROSHARES ULTRASHORT UTILITIES PROSHARES ULTRASHORT UTILITIES) has an average price of 158.18 (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 3/14/2007 to 1/16/2018 for SDP (PROSHARES ULTRASHORT UTILITIES PROSHARES ULTRASHORT UTILITIES), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0158.1796   0 
134.00064 140.9928 (1*2π)/567567 weeks
2-22.16656 65.08089 (2*2π)/567284 weeks
3-19.57611 20.95461 (3*2π)/567189 weeks
4-2.92053 7.66989 (4*2π)/567142 weeks
511.32118 6.76214 (5*2π)/567113 weeks
612.48426 16.4055 (6*2π)/56795 weeks
72.61375 22.90257 (7*2π)/56781 weeks
8-5.17145 19.25467 (8*2π)/56771 weeks
9-5.79772 7.10763 (9*2π)/56763 weeks
101.18026 5.0594 (10*2π)/56757 weeks
112.17487 5.97856 (11*2π)/56752 weeks
12.06546 8.25301 (12*2π)/56747 weeks
131.82938 5.75195 (13*2π)/56744 weeks
14.32877 7.04427 (14*2π)/56741 weeks
151.30069 8.67788 (15*2π)/56738 weeks
16-2.04262 7.8435 (16*2π)/56735 weeks
17-2.45211 6.099 (17*2π)/56733 weeks
18-7.08462 2.81334 (18*2π)/56732 weeks
19-.88333 -3.47569 (19*2π)/56730 weeks
204.74341 -2.47988 (20*2π)/56728 weeks
216.83636 3.04334 (21*2π)/56727 weeks
224.70663 6.85214 (22*2π)/56726 weeks
23-.2465 7.45907 (23*2π)/56725 weeks
24-2.06244 3.76547 (24*2π)/56724 weeks
25-.53192 1.10641 (25*2π)/56723 weeks
263.1674 .74651 (26*2π)/56722 weeks
274.08626 3.73177 (27*2π)/56721 weeks
281.19266 5.52573 (28*2π)/56720 weeks
29-.37238 4.73638 (29*2π)/56720 weeks
30-1.38384 4.02745 (30*2π)/56719 weeks
31-2.30887 .28705 (31*2π)/56718 weeks
321.76455 -1.39613 (32*2π)/56718 weeks
334.98898 .92404 (33*2π)/56717 weeks
343.80996 5.10701 (34*2π)/56717 weeks
35.23947 5.71918 (35*2π)/56716 weeks
36-1.70057 2.77115 (36*2π)/56716 weeks
37.34874 1.80003 (37*2π)/56715 weeks
381.17845 1.63851 (38*2π)/56715 weeks
39-.06551 1.66983 (39*2π)/56715 weeks
401.84239 1.4288 (40*2π)/56714 weeks
411.45782 2.38599 (41*2π)/56714 weeks
421.04301 3.23182 (42*2π)/56714 weeks
43-.00679 1.29735 (43*2π)/56713 weeks
441.14783 2.81798 (44*2π)/56713 weeks
45.19246 2.28496 (45*2π)/56713 weeks
46-.35477 1.0056 (46*2π)/56712 weeks
47.80972 -.32559 (47*2π)/56712 weeks
482.33609 .0143 (48*2π)/56712 weeks
493.6435 2.71915 (49*2π)/56712 weeks
501.69244 4.60369 (50*2π)/56711 weeks
51-1.08211 3.66115 (51*2π)/56711 weeks
52-1.63794 1.60669 (52*2π)/56711 weeks
53-.06078 -.82525 (53*2π)/56711 weeks
542.56011 .3547 (54*2π)/56711 weeks
553.34185 1.88005 (55*2π)/56710 weeks
562.73834 4.49841 (56*2π)/56710 weeks
57-.65583 4.83192 (57*2π)/56710 weeks
58-3.33106 3.08437 (58*2π)/56710 weeks
59-1.74177 -.75713 (59*2π)/56710 weeks
601.06064 -1.53119 (60*2π)/5679 weeks
612.94849 .47321 (61*2π)/5679 weeks
622.27705 3.37302 (62*2π)/5679 weeks
63-.22488 2.91317 (63*2π)/5679 weeks
64-.16965 1.33558 (64*2π)/5679 weeks
65.44833 1.46727 (65*2π)/5679 weeks
66.12603 1.17045 (66*2π)/5679 weeks
67.48013 1.69585 (67*2π)/5678 weeks
68-.22699 1.41103 (68*2π)/5678 weeks
69.84113 .71874 (69*2π)/5678 weeks
70.06664 1.31784 (70*2π)/5678 weeks
71.68524 1.21144 (71*2π)/5678 weeks
72-.11484 2.09882 (72*2π)/5678 weeks
73-1.13746 .81555 (73*2π)/5678 weeks
74.10916 -.639 (74*2π)/5678 weeks
751.22404 -.40496 (75*2π)/5678 weeks
762.48129 .39718 (76*2π)/5677 weeks
771.64223 2.37565 (77*2π)/5677 weeks
78.42761 2.30946 (78*2π)/5677 weeks
79-.3859 1.98869 (79*2π)/5677 weeks
80-1.52257 .26804 (80*2π)/5677 weeks
81.40057 -1.07409 (81*2π)/5677 weeks
822.25998 -.15222 (82*2π)/5677 weeks
832.04631 1.55147 (83*2π)/5677 weeks
84.94089 2.26516 (84*2π)/5677 weeks
85-.43724 1.81888 (85*2π)/5677 weeks
86-.39942 .69789 (86*2π)/5677 weeks
87-.00899 -.77033 (87*2π)/5677 weeks
882.15598 -.44147 (88*2π)/5676 weeks
892.47918 1.41332 (89*2π)/5676 weeks
901.30264 3.23582 (90*2π)/5676 weeks
91-.68085 2.11069 (91*2π)/5676 weeks
92-.21804 .60544 (92*2π)/5676 weeks
93.29688 .17178 (93*2π)/5676 weeks
941.16356 .56659 (94*2π)/5676 weeks
95.93559 1.49218 (95*2π)/5676 weeks
96.3259 1.30888 (96*2π)/5676 weeks
97.1992 .62136 (97*2π)/5676 weeks
981.10184 .7645 (98*2π)/5676 weeks
99.72913 1.8142 (99*2π)/5676 weeks
100-.31966 1.82455 (100*2π)/5676 weeks
101-.93666 .38702 (101*2π)/5676 weeks
102-.061 -.59456 (102*2π)/5676 weeks
1031.43075 -.50773 (103*2π)/5676 weeks
1042.09149 .76416 (104*2π)/5675 weeks
1051.19224 2.30174 (105*2π)/5675 weeks
106-.849 2.50121 (106*2π)/5675 weeks
107-1.88309 .282 (107*2π)/5675 weeks
108-.36815 -1.6484 (108*2π)/5675 weeks
1091.78499 -1.06207 (109*2π)/5675 weeks
1101.99663 .04811 (110*2π)/5675 weeks
1112.0625 1.18668 (111*2π)/5675 weeks
112.88401 2.03879 (112*2π)/5675 weeks
113.01342 1.19746 (113*2π)/5675 weeks
114-.11179 .27686 (114*2π)/5675 weeks
115.58675 -.1477 (115*2π)/5675 weeks
1161.28648 .36503 (116*2π)/5675 weeks
1171.8548 .95821 (117*2π)/5675 weeks
1181.34476 1.50898 (118*2π)/5675 weeks
119.51904 2.04697 (119*2π)/5675 weeks
120-.84436 1.42707 (120*2π)/5675 weeks
121-.63437 .41617 (121*2π)/5675 weeks
122-.06761 -.32196 (122*2π)/5675 weeks
1231.1573 -.53285 (123*2π)/5675 weeks
1241.83794 .43064 (124*2π)/5675 weeks
1251.08189 1.56359 (125*2π)/5675 weeks
126.44416 1.5605 (126*2π)/5675 weeks
127-.33611 .94288 (127*2π)/5674 weeks
128.26947 .42165 (128*2π)/5674 weeks
129.19646 .21958 (129*2π)/5674 weeks
130.47909 .13127 (130*2π)/5674 weeks
131.95851 .67094 (131*2π)/5674 weeks
1321.05277 1.13459 (132*2π)/5674 weeks
133-.1445 1.45413 (133*2π)/5674 weeks
134-.87771 .51392 (134*2π)/5674 weeks
135.02009 -.53509 (135*2π)/5674 weeks
136.99332 -.15902 (136*2π)/5674 weeks
137.58497 -.04668 (137*2π)/5674 weeks
138.92405 .04174 (138*2π)/5674 weeks
1391.09561 .66325 (139*2π)/5674 weeks
140.69415 .76363 (140*2π)/5674 weeks
141.37606 .66826 (141*2π)/5674 weeks
142.05092 .37327 (142*2π)/5674 weeks
143.4651 -.41931 (143*2π)/5674 weeks
1441.25964 -.36576 (144*2π)/5674 weeks
1451.82537 .47727 (145*2π)/5674 weeks
146.97789 1.87204 (146*2π)/5674 weeks
147-.34314 .96504 (147*2π)/5674 weeks
148.26871 -.19867 (148*2π)/5674 weeks
149.92198 .56429 (149*2π)/5674 weeks
150.50213 .50476 (150*2π)/5674 weeks
151.59244 .21526 (151*2π)/5674 weeks
152.86117 .20099 (152*2π)/5674 weeks
1531.11609 .65372 (153*2π)/5674 weeks
154.88932 1.06823 (154*2π)/5674 weeks
155.26791 1.31935 (155*2π)/5674 weeks
156-.59569 .84612 (156*2π)/5674 weeks
157-.14067 -.82152 (157*2π)/5674 weeks
1581.09915 -.33915 (158*2π)/5674 weeks
1591.43194 .49319 (159*2π)/5674 weeks
160.84745 1.08637 (160*2π)/5674 weeks
161.18438 .83808 (161*2π)/5674 weeks
162.35626 .29578 (162*2π)/5674 weeks
163.07602 .38864 (163*2π)/5673 weeks
164.44727 -.43927 (164*2π)/5673 weeks
1651.53526 .14704 (165*2π)/5673 weeks
166.80737 1.20051 (166*2π)/5673 weeks
167.03792 .70319 (167*2π)/5673 weeks
168.37149 .20265 (168*2π)/5673 weeks
169.80885 .43726 (169*2π)/5673 weeks
170.33046 .53368 (170*2π)/5673 weeks
171.39572 .52055 (171*2π)/5673 weeks
172.03236 .45616 (172*2π)/5673 weeks
173.45442 -.09777 (173*2π)/5673 weeks
174.59337 -.02259 (174*2π)/5673 weeks
175.7357 .05781 (175*2π)/5673 weeks
176.62884 .61378 (176*2π)/5673 weeks
177.20011 .14371 (177*2π)/5673 weeks
178.47213 -.41271 (178*2π)/5673 weeks
1791.08723 -.21865 (179*2π)/5673 weeks
1801.51759 .3309 (180*2π)/5673 weeks
1811.33162 1.17544 (181*2π)/5673 weeks
182.31509 1.23626 (182*2π)/5673 weeks
183-.07034 .76034 (183*2π)/5673 weeks
184-.05899 .0895 (184*2π)/5673 weeks
185.50096 -.49 (185*2π)/5673 weeks
1861.23672 .23526 (186*2π)/5673 weeks
1871.0272 .62739 (187*2π)/5673 weeks
188.40867 1.22054 (188*2π)/5673 weeks
189-.08126 .49177 (189*2π)/5673 weeks
190.1159 .02835 (190*2π)/5673 weeks
191.59463 -.22607 (191*2π)/5673 weeks
192.86946 .23609 (192*2π)/5673 weeks
193.63979 .46915 (193*2π)/5673 weeks
194.46101 .39656 (194*2π)/5673 weeks
195.55385 .63552 (195*2π)/5673 weeks
196.15916 .47573 (196*2π)/5673 weeks
197-.17979 .315 (197*2π)/5673 weeks
198.02398 -.1765 (198*2π)/5673 weeks
199.31102 -.58976 (199*2π)/5673 weeks
200.80403 -.85899 (200*2π)/5673 weeks
2011.97084 -.41712 (201*2π)/5673 weeks
2021.30558 1.13575 (202*2π)/5673 weeks
203.47872 1.0277 (203*2π)/5673 weeks
204.08084 .40909 (204*2π)/5673 weeks
205.3265 .01885 (205*2π)/5673 weeks
206.95554 .05752 (206*2π)/5673 weeks
207.84042 .30855 (207*2π)/5673 weeks
2081.16572 .43076 (208*2π)/5673 weeks
209.51129 1.40128 (209*2π)/5673 weeks
210-.29044 .82065 (210*2π)/5673 weeks
211-.52464 .11899 (211*2π)/5673 weeks
212-.2328 -.55528 (212*2π)/5673 weeks
213.46737 -.99461 (213*2π)/5673 weeks
2141.58236 -.41475 (214*2π)/5673 weeks
2151.6564 .7343 (215*2π)/5673 weeks
216.48024 1.45229 (216*2π)/5673 weeks
217-.5633 .53168 (217*2π)/5673 weeks
218-.27359 -.37907 (218*2π)/5673 weeks
219.56504 -.66735 (219*2π)/5673 weeks
2201.11009 -.55548 (220*2π)/5673 weeks
2211.33038 .51464 (221*2π)/5673 weeks
222.75889 .946 (222*2π)/5673 weeks
223-.26238 .55305 (223*2π)/5673 weeks
224-.16437 -.24795 (224*2π)/5673 weeks
225.50964 -.5118 (225*2π)/5673 weeks
226.50207 -.13156 (226*2π)/5673 weeks
227.61704 -.50786 (227*2π)/5672 weeks
2281.16492 -.38957 (228*2π)/5672 weeks
2291.19406 .41405 (229*2π)/5672 weeks
230.63121 .26808 (230*2π)/5672 weeks
231.70938 .31609 (231*2π)/5672 weeks
232.43379 .28631 (232*2π)/5672 weeks
233.15798 .06035 (233*2π)/5672 weeks
234.41776 -.58455 (234*2π)/5672 weeks
2351.55247 -.6208 (235*2π)/5672 weeks
2361.47838 .56793 (236*2π)/5672 weeks
237.61393 .99219 (237*2π)/5672 weeks
238.36462 .366 (238*2π)/5672 weeks
239.21564 .16772 (239*2π)/5672 weeks
240.34781 -.27914 (240*2π)/5672 weeks
241.89101 -.40723 (241*2π)/5672 weeks
2421.40996 -.09406 (242*2π)/5672 weeks
2431.35689 .62419 (243*2π)/5672 weeks
244.85354 1.10864 (244*2π)/5672 weeks
245.10502 .88732 (245*2π)/5672 weeks
246-.08843 .36378 (246*2π)/5672 weeks
247.06459 -.20583 (247*2π)/5672 weeks
248.45131 -.12238 (248*2π)/5672 weeks
249.66757 -.31059 (249*2π)/5672 weeks
250.92014 .42165 (250*2π)/5672 weeks
251.49653 .36432 (251*2π)/5672 weeks
252.41656 .43893 (252*2π)/5672 weeks
253-.1263 .13434 (253*2π)/5672 weeks
254.11527 -.3827 (254*2π)/5672 weeks
255.77717 -.55004 (255*2π)/5672 weeks
2561.03167 -.26341 (256*2π)/5672 weeks
2571.28921 .3597 (257*2π)/5672 weeks
258.56731 .94761 (258*2π)/5672 weeks
259-.0828 .53343 (259*2π)/5672 weeks
260-.23576 -.05136 (260*2π)/5672 weeks
261.09701 -.63721 (261*2π)/5672 weeks
262.77793 -.69839 (262*2π)/5672 weeks
2631.20396 -.30885 (263*2π)/5672 weeks
2641.21176 .56113 (264*2π)/5672 weeks
265.48608 .85011 (265*2π)/5672 weeks
266-.20293 .34775 (266*2π)/5672 weeks
267-.16024 -.02198 (267*2π)/5672 weeks
268-.13296 -.82497 (268*2π)/5672 weeks
2691.00007 -.8217 (269*2π)/5672 weeks
2701.01095 -.12191 (270*2π)/5672 weeks
271.67619 .45242 (271*2π)/5672 weeks
272.18782 -.09233 (272*2π)/5672 weeks
273.33334 -.36897 (273*2π)/5672 weeks
274.49721 -.50639 (274*2π)/5672 weeks
275.60623 -.7252 (275*2π)/5672 weeks
2761.43285 -.50863 (276*2π)/5672 weeks
2771.53629 .29057 (277*2π)/5672 weeks
278.62364 .57868 (278*2π)/5672 weeks
279.36107 .14411 (279*2π)/5672 weeks
280.28948 .00315 (280*2π)/5672 weeks
281.29885 -.39502 (281*2π)/5672 weeks
282.74038 -.88033 (282*2π)/5672 weeks
2831.64957 -.53422 (283*2π)/5672 weeks
2841.64957 .53422 (284*2π)/5672 weeks
285.74038 .88033 (285*2π)/5672 weeks
286.29885 .39502 (286*2π)/5672 weeks
287.28948 -.00315 (287*2π)/5672 weeks
288.36107 -.14411 (288*2π)/5672 weeks
289.62364 -.57868 (289*2π)/5672 weeks
2901.53629 -.29057 (290*2π)/5672 weeks
2911.43285 .50863 (291*2π)/5672 weeks
292.60623 .7252 (292*2π)/5672 weeks
293.49721 .50639 (293*2π)/5672 weeks
294.33334 .36897 (294*2π)/5672 weeks
295.18782 .09233 (295*2π)/5672 weeks
296.67619 -.45242 (296*2π)/5672 weeks
2971.01095 .12191 (297*2π)/5672 weeks
2981.00007 .8217 (298*2π)/5672 weeks
299-.13296 .82497 (299*2π)/5672 weeks
300-.16024 .02198 (300*2π)/5672 weeks
301-.20293 -.34775 (301*2π)/5672 weeks
302.48608 -.85011 (302*2π)/5672 weeks
3031.21176 -.56113 (303*2π)/5672 weeks
3041.20396 .30885 (304*2π)/5672 weeks
305.77793 .69839 (305*2π)/5672 weeks
306.09701 .63721 (306*2π)/5672 weeks
307-.23576 .05136 (307*2π)/5672 weeks
308-.0828 -.53343 (308*2π)/5672 weeks
309.56731 -.94761 (309*2π)/5672 weeks
3101.28921 -.3597 (310*2π)/5672 weeks
3111.03167 .26341 (311*2π)/5672 weeks
312.77717 .55004 (312*2π)/5672 weeks
313.11527 .3827 (313*2π)/5672 weeks
314-.1263 -.13434 (314*2π)/5672 weeks
315.41656 -.43893 (315*2π)/5672 weeks
316.49653 -.36432 (316*2π)/5672 weeks
317.92014 -.42165 (317*2π)/5672 weeks
318.66757 .31059 (318*2π)/5672 weeks
319.45131 .12238 (319*2π)/5672 weeks
320.06459 .20583 (320*2π)/5672 weeks
321-.08843 -.36378 (321*2π)/5672 weeks
322.10502 -.88732 (322*2π)/5672 weeks
323.85354 -1.10864 (323*2π)/5672 weeks
3241.35689 -.62419 (324*2π)/5672 weeks
3251.40996 .09406 (325*2π)/5672 weeks
326.89101 .40723 (326*2π)/5672 weeks
327.34781 .27914 (327*2π)/5672 weeks
328.21564 -.16772 (328*2π)/5672 weeks
329.36462 -.366 (329*2π)/5672 weeks
330.61393 -.99219 (330*2π)/5672 weeks
3311.47838 -.56793 (331*2π)/5672 weeks
3321.55247 .6208 (332*2π)/5672 weeks
333.41776 .58455 (333*2π)/5672 weeks
334.15798 -.06035 (334*2π)/5672 weeks
335.43379 -.28631 (335*2π)/5672 weeks
336.70938 -.31609 (336*2π)/5672 weeks
337.63121 -.26808 (337*2π)/5672 weeks
3381.19406 -.41405 (338*2π)/5672 weeks
3391.16492 .38957 (339*2π)/5672 weeks
340.61704 .50786 (340*2π)/5672 weeks
341.50207 .13156 (341*2π)/5672 weeks
342.50964 .5118 (342*2π)/5672 weeks
343-.16437 .24795 (343*2π)/5672 weeks
344-.26238 -.55305 (344*2π)/5672 weeks
345.75889 -.946 (345*2π)/5672 weeks
3461.33038 -.51464 (346*2π)/5672 weeks
3471.11009 .55548 (347*2π)/5672 weeks
348.56504 .66735 (348*2π)/5672 weeks
349-.27359 .37907 (349*2π)/5672 weeks
350-.5633 -.53168 (350*2π)/5672 weeks
351.48024 -1.45229 (351*2π)/5672 weeks
3521.6564 -.7343 (352*2π)/5672 weeks
3531.58236 .41475 (353*2π)/5672 weeks
354.46737 .99461 (354*2π)/5672 weeks
355-.2328 .55528 (355*2π)/5672 weeks
356-.52464 -.11899 (356*2π)/5672 weeks
357-.29044 -.82065 (357*2π)/5672 weeks
358.51129 -1.40128 (358*2π)/5672 weeks
3591.16572 -.43076 (359*2π)/5672 weeks
360.84042 -.30855 (360*2π)/5672 weeks
361.95554 -.05752 (361*2π)/5672 weeks
362.3265 -.01885 (362*2π)/5672 weeks
363.08084 -.40909 (363*2π)/5672 weeks
364.47872 -1.0277 (364*2π)/5672 weeks
3651.30558 -1.13575 (365*2π)/5672 weeks
3661.97084 .41712 (366*2π)/5672 weeks
367.80403 .85899 (367*2π)/5672 weeks
368.31102 .58976 (368*2π)/5672 weeks
369.02398 .1765 (369*2π)/5672 weeks
370-.17979 -.315 (370*2π)/5672 weeks
371.15916 -.47573 (371*2π)/5672 weeks
372.55385 -.63552 (372*2π)/5672 weeks
373.46101 -.39656 (373*2π)/5672 weeks
374.63979 -.46915 (374*2π)/5672 weeks
375.86946 -.23609 (375*2π)/5672 weeks
376.59463 .22607 (376*2π)/5672 weeks
377.1159 -.02835 (377*2π)/5672 weeks
378-.08126 -.49177 (378*2π)/5672 weeks
379.40867 -1.22054 (379*2π)/5671 weeks
3801.0272 -.62739 (380*2π)/5671 weeks
3811.23672 -.23526 (381*2π)/5671 weeks
382.50096 .49 (382*2π)/5671 weeks
383-.05899 -.0895 (383*2π)/5671 weeks
384-.07034 -.76034 (384*2π)/5671 weeks
385.31509 -1.23626 (385*2π)/5671 weeks
3861.33162 -1.17544 (386*2π)/5671 weeks
3871.51759 -.3309 (387*2π)/5671 weeks
3881.08723 .21865 (388*2π)/5671 weeks
389.47213 .41271 (389*2π)/5671 weeks
390.20011 -.14371 (390*2π)/5671 weeks
391.62884 -.61378 (391*2π)/5671 weeks
392.7357 -.05781 (392*2π)/5671 weeks
393.59337 .02259 (393*2π)/5671 weeks
394.45442 .09777 (394*2π)/5671 weeks
395.03236 -.45616 (395*2π)/5671 weeks
396.39572 -.52055 (396*2π)/5671 weeks
397.33046 -.53368 (397*2π)/5671 weeks
398.80885 -.43726 (398*2π)/5671 weeks
399.37149 -.20265 (399*2π)/5671 weeks
400.03792 -.70319 (400*2π)/5671 weeks
401.80737 -1.20051 (401*2π)/5671 weeks
4021.53526 -.14704 (402*2π)/5671 weeks
403.44727 .43927 (403*2π)/5671 weeks
404.07602 -.38864 (404*2π)/5671 weeks
405.35626 -.29578 (405*2π)/5671 weeks
406.18438 -.83808 (406*2π)/5671 weeks
407.84745 -1.08637 (407*2π)/5671 weeks
4081.43194 -.49319 (408*2π)/5671 weeks
4091.09915 .33915 (409*2π)/5671 weeks
410-.14067 .82152 (410*2π)/5671 weeks
411-.59569 -.84612 (411*2π)/5671 weeks
412.26791 -1.31935 (412*2π)/5671 weeks
413.88932 -1.06823 (413*2π)/5671 weeks
4141.11609 -.65372 (414*2π)/5671 weeks
415.86117 -.20099 (415*2π)/5671 weeks
416.59244 -.21526 (416*2π)/5671 weeks
417.50213 -.50476 (417*2π)/5671 weeks
418.92198 -.56429 (418*2π)/5671 weeks
419.26871 .19867 (419*2π)/5671 weeks
420-.34314 -.96504 (420*2π)/5671 weeks
421.97789 -1.87204 (421*2π)/5671 weeks
4221.82537 -.47727 (422*2π)/5671 weeks
4231.25964 .36576 (423*2π)/5671 weeks
424.4651 .41931 (424*2π)/5671 weeks
425.05092 -.37327 (425*2π)/5671 weeks
426.37606 -.66826 (426*2π)/5671 weeks
427.69415 -.76363 (427*2π)/5671 weeks
4281.09561 -.66325 (428*2π)/5671 weeks
429.92405 -.04174 (429*2π)/5671 weeks
430.58497 .04668 (430*2π)/5671 weeks
431.99332 .15902 (431*2π)/5671 weeks
432.02009 .53509 (432*2π)/5671 weeks
433-.87771 -.51392 (433*2π)/5671 weeks
434-.1445 -1.45413 (434*2π)/5671 weeks
4351.05277 -1.13459 (435*2π)/5671 weeks
436.95851 -.67094 (436*2π)/5671 weeks
437.47909 -.13127 (437*2π)/5671 weeks
438.19646 -.21958 (438*2π)/5671 weeks
439.26947 -.42165 (439*2π)/5671 weeks
440-.33611 -.94288 (440*2π)/5671 weeks
441.44416 -1.5605 (441*2π)/5671 weeks
4421.08189 -1.56359 (442*2π)/5671 weeks
4431.83794 -.43064 (443*2π)/5671 weeks
4441.1573 .53285 (444*2π)/5671 weeks
445-.06761 .32196 (445*2π)/5671 weeks
446-.63437 -.41617 (446*2π)/5671 weeks
447-.84436 -1.42707 (447*2π)/5671 weeks
448.51904 -2.04697 (448*2π)/5671 weeks
4491.34476 -1.50898 (449*2π)/5671 weeks
4501.8548 -.95821 (450*2π)/5671 weeks
4511.28648 -.36503 (451*2π)/5671 weeks
452.58675 .1477 (452*2π)/5671 weeks
453-.11179 -.27686 (453*2π)/5671 weeks
454.01342 -1.19746 (454*2π)/5671 weeks
455.88401 -2.03879 (455*2π)/5671 weeks
4562.0625 -1.18668 (456*2π)/5671 weeks
4571.99663 -.04811 (457*2π)/5671 weeks
4581.78499 1.06207 (458*2π)/5671 weeks
459-.36815 1.6484 (459*2π)/5671 weeks
460-1.88309 -.282 (460*2π)/5671 weeks
461-.849 -2.50121 (461*2π)/5671 weeks
4621.19224 -2.30174 (462*2π)/5671 weeks
4632.09149 -.76416 (463*2π)/5671 weeks
4641.43075 .50773 (464*2π)/5671 weeks
465-.061 .59456 (465*2π)/5671 weeks
466-.93666 -.38702 (466*2π)/5671 weeks
467-.31966 -1.82455 (467*2π)/5671 weeks
468.72913 -1.8142 (468*2π)/5671 weeks
4691.10184 -.7645 (469*2π)/5671 weeks
470.1992 -.62136 (470*2π)/5671 weeks
471.3259 -1.30888 (471*2π)/5671 weeks
472.93559 -1.49218 (472*2π)/5671 weeks
4731.16356 -.56659 (473*2π)/5671 weeks
474.29688 -.17178 (474*2π)/5671 weeks
475-.21804 -.60544 (475*2π)/5671 weeks
476-.68085 -2.11069 (476*2π)/5671 weeks
4771.30264 -3.23582 (477*2π)/5671 weeks
4782.47918 -1.41332 (478*2π)/5671 weeks
4792.15598 .44147 (479*2π)/5671 weeks
480-.00899 .77033 (480*2π)/5671 weeks
481-.39942 -.69789 (481*2π)/5671 weeks
482-.43724 -1.81888 (482*2π)/5671 weeks
483.94089 -2.26516 (483*2π)/5671 weeks
4842.04631 -1.55147 (484*2π)/5671 weeks
4852.25998 .15222 (485*2π)/5671 weeks
486.40057 1.07409 (486*2π)/5671 weeks
487-1.52257 -.26804 (487*2π)/5671 weeks
488-.3859 -1.98869 (488*2π)/5671 weeks
489.42761 -2.30946 (489*2π)/5671 weeks
4901.64223 -2.37565 (490*2π)/5671 weeks
4912.48129 -.39718 (491*2π)/5671 weeks
4921.22404 .40496 (492*2π)/5671 weeks
493.10916 .639 (493*2π)/5671 weeks
494-1.13746 -.81555 (494*2π)/5671 weeks
495-.11484 -2.09882 (495*2π)/5671 weeks
496.68524 -1.21144 (496*2π)/5671 weeks
497.06664 -1.31784 (497*2π)/5671 weeks
498.84113 -.71874 (498*2π)/5671 weeks
499-.22699 -1.41103 (499*2π)/5671 weeks
500.48013 -1.69585 (500*2π)/5671 weeks
501.12603 -1.17045 (501*2π)/5671 weeks
502.44833 -1.46727 (502*2π)/5671 weeks
503-.16965 -1.33558 (503*2π)/5671 weeks
504-.22488 -2.91317 (504*2π)/5671 weeks
5052.27705 -3.37302 (505*2π)/5671 weeks
5062.94849 -.47321 (506*2π)/5671 weeks
5071.06064 1.53119 (507*2π)/5671 weeks
508-1.74177 .75713 (508*2π)/5671 weeks
509-3.33106 -3.08437 (509*2π)/5671 weeks
510-.65583 -4.83192 (510*2π)/5671 weeks
5112.73834 -4.49841 (511*2π)/5671 weeks
5123.34185 -1.88005 (512*2π)/5671 weeks
5132.56011 -.3547 (513*2π)/5671 weeks
514-.06078 .82525 (514*2π)/5671 weeks
515-1.63794 -1.60669 (515*2π)/5671 weeks
516-1.08211 -3.66115 (516*2π)/5671 weeks
5171.69244 -4.60369 (517*2π)/5671 weeks
5183.6435 -2.71915 (518*2π)/5671 weeks
5192.33609 -.0143 (519*2π)/5671 weeks
520.80972 .32559 (520*2π)/5671 weeks
521-.35477 -1.0056 (521*2π)/5671 weeks
522.19246 -2.28496 (522*2π)/5671 weeks
5231.14783 -2.81798 (523*2π)/5671 weeks
524-.00679 -1.29735 (524*2π)/5671 weeks
5251.04301 -3.23182 (525*2π)/5671 weeks
5261.45782 -2.38599 (526*2π)/5671 weeks
5271.84239 -1.4288 (527*2π)/5671 weeks
528-.06551 -1.66983 (528*2π)/5671 weeks
5291.17845 -1.63851 (529*2π)/5671 weeks
530.34874 -1.80003 (530*2π)/5671 weeks
531-1.70057 -2.77115 (531*2π)/5671 weeks
532.23947 -5.71918 (532*2π)/5671 weeks
5333.80996 -5.10701 (533*2π)/5671 weeks
5344.98898 -.92404 (534*2π)/5671 weeks
5351.76455 1.39613 (535*2π)/5671 weeks
536-2.30887 -.28705 (536*2π)/5671 weeks
537-1.38384 -4.02745 (537*2π)/5671 weeks
538-.37238 -4.73638 (538*2π)/5671 weeks
5391.19266 -5.52573 (539*2π)/5671 weeks
5404.08626 -3.73177 (540*2π)/5671 weeks
5413.1674 -.74651 (541*2π)/5671 weeks
542-.53192 -1.10641 (542*2π)/5671 weeks
543-2.06244 -3.76547 (543*2π)/5671 weeks
544-.2465 -7.45907 (544*2π)/5671 weeks
5454.70663 -6.85214 (545*2π)/5671 weeks
5466.83636 -3.04334 (546*2π)/5671 weeks
5474.74341 2.47988 (547*2π)/5671 weeks
548-.88333 3.47569 (548*2π)/5671 weeks
549-7.08462 -2.81334 (549*2π)/5671 weeks
550-2.45211 -6.099 (550*2π)/5671 weeks
551-2.04262 -7.8435 (551*2π)/5671 weeks
5521.30069 -8.67788 (552*2π)/5671 weeks
553.32877 -7.04427 (553*2π)/5671 weeks
5541.82938 -5.75195 (554*2π)/5671 weeks
555.06546 -8.25301 (555*2π)/5671 weeks
5562.17487 -5.97856 (556*2π)/5671 weeks
5571.18026 -5.0594 (557*2π)/5671 weeks
558-5.79772 -7.10763 (558*2π)/5671 weeks
559-5.17145 -19.25467 (559*2π)/5671 weeks
5602.61375 -22.90257 (560*2π)/5671 weeks
56112.48426 -16.4055 (561*2π)/5671 weeks
56211.32118 -6.76214 (562*2π)/5671 weeks
563-2.92053 -7.66989 (563*2π)/5671 weeks
564-19.57611 -20.95461 (564*2π)/5671 weeks
565-22.16656 -65.08089 (565*2π)/5671 weeks



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