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Fourier Analysis of SIJ (PROSHARES ULTRASHORT INDUSTRIALS PROSHARES ULTRASHORT INDUSTRIALS)


SIJ (PROSHARES ULTRASHORT INDUSTRIALS PROSHARES ULTRASHORT INDUSTRIALS) appears to have interesting cyclic behaviour every 47 weeks (36.3727*sine), 43 weeks (26.3522*sine), and 51 weeks (24.786*cosine).

SIJ (PROSHARES ULTRASHORT INDUSTRIALS PROSHARES ULTRASHORT INDUSTRIALS) has an average price of 254.18 (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 2/1/2007 to 10/16/2017 for SIJ (PROSHARES ULTRASHORT INDUSTRIALS PROSHARES ULTRASHORT INDUSTRIALS), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0254.184   0 
1112.9715 287.4169 (1*2π)/560560 weeks
2-64.11536 153.3629 (2*2π)/560280 weeks
3-79.14595 21.26452 (3*2π)/560187 weeks
45.15021 -28.1741 (4*2π)/560140 weeks
553.6572 8.81007 (5*2π)/560112 weeks
641.20074 56.68558 (6*2π)/56093 weeks
7-7.53215 65.19599 (7*2π)/56080 weeks
8-38.42579 20.54753 (8*2π)/56070 weeks
9-4.45772 -13.5644 (9*2π)/56062 weeks
1019.65373 2.83373 (10*2π)/56056 weeks
1124.78597 14.2788 (11*2π)/56051 weeks
1214.27616 36.37266 (12*2π)/56047 weeks
13-9.7257 26.35222 (13*2π)/56043 weeks
14-6.76661 11.34445 (14*2π)/56040 weeks
15-.93232 7.03468 (15*2π)/56037 weeks
164.45747 10.17858 (16*2π)/56035 weeks
17-1.23373 12.32299 (17*2π)/56033 weeks
182.4469 5.73633 (18*2π)/56031 weeks
194.41956 9.40911 (19*2π)/56029 weeks
205.48319 8.41934 (20*2π)/56028 weeks
215.99271 13.24919 (21*2π)/56027 weeks
22-1.37587 15.5132 (22*2π)/56025 weeks
23-6.84545 7.61208 (23*2π)/56024 weeks
242.31572 .07999 (24*2π)/56023 weeks
2511.57736 5.55335 (25*2π)/56022 weeks
268.24952 20.82106 (26*2π)/56022 weeks
27-10.96454 19.47194 (27*2π)/56021 weeks
28-14.96984 4.54799 (28*2π)/56020 weeks
29-7.1695 -8.5249 (29*2π)/56019 weeks
3012.46453 -8.36666 (30*2π)/56019 weeks
3119.29579 11.152 (31*2π)/56018 weeks
323.61807 24.10542 (32*2π)/56018 weeks
33-15.69552 16.81895 (33*2π)/56017 weeks
34-16.45766 -5.15337 (34*2π)/56016 weeks
354.28475 -11.7166 (35*2π)/56016 weeks
3613.56903 2.03653 (36*2π)/56016 weeks
377.53005 12.57234 (37*2π)/56015 weeks
38-3.12198 12.15789 (38*2π)/56015 weeks
39-5.38093 3.49942 (39*2π)/56014 weeks
40-.45038 .39063 (40*2π)/56014 weeks
412.99402 .85212 (41*2π)/56014 weeks
425.73268 5.91472 (42*2π)/56013 weeks
43-.39439 7.97946 (43*2π)/56013 weeks
44-1.26649 2.72004 (44*2π)/56013 weeks
451.62007 3.16211 (45*2π)/56012 weeks
462.95304 4.39863 (46*2π)/56012 weeks
471.22495 7.73421 (47*2π)/56012 weeks
48-3.73361 6.07104 (48*2π)/56012 weeks
49-3.61487 2.28432 (49*2π)/56011 weeks
50-.53444 -1.11496 (50*2π)/56011 weeks
513.04854 .6662 (51*2π)/56011 weeks
523.28157 4.58651 (52*2π)/56011 weeks
53-.88304 5.24629 (53*2π)/56011 weeks
54-2.24691 1.79141 (54*2π)/56010 weeks
55-.02867 -1.32582 (55*2π)/56010 weeks
564.92117 -1.51212 (56*2π)/56010 weeks
577.76599 5.11897 (57*2π)/56010 weeks
58.30046 8.81482 (58*2π)/56010 weeks
59-3.40045 3.97709 (59*2π)/5609 weeks
60-.80205 -.08261 (60*2π)/5609 weeks
612.99653 .03976 (61*2π)/5609 weeks
624.82057 4.6796 (62*2π)/5609 weeks
63-.79362 7.18713 (63*2π)/5609 weeks
64-3.5571 2.31599 (64*2π)/5609 weeks
65-1.30921 -1.78547 (65*2π)/5609 weeks
664.38221 -1.23087 (66*2π)/5608 weeks
675.10208 4.28691 (67*2π)/5608 weeks
68-.02013 4.90347 (68*2π)/5608 weeks
69-.31235 2.83314 (69*2π)/5608 weeks
70.40717 .04112 (70*2π)/5608 weeks
715.0951 2.36828 (71*2π)/5608 weeks
721.44358 7.67602 (72*2π)/5608 weeks
73-4.43763 4.90794 (73*2π)/5608 weeks
74-3.77949 -.98218 (74*2π)/5608 weeks
751.30106 -3.8983 (75*2π)/5607 weeks
765.7074 .55733 (76*2π)/5607 weeks
772.99128 4.27048 (77*2π)/5607 weeks
781.80205 4.09172 (78*2π)/5607 weeks
79-2.06154 4.62558 (79*2π)/5607 weeks
80-2.75051 -1.45987 (80*2π)/5607 weeks
813.34662 -2.36395 (81*2π)/5607 weeks
825.33422 1.42697 (82*2π)/5607 weeks
833.96207 5.72432 (83*2π)/5607 weeks
84-1.06754 5.78067 (84*2π)/5607 weeks
85-2.78311 2.93915 (85*2π)/5607 weeks
86-2.88965 -1.55808 (86*2π)/5607 weeks
873.11125 -3.49125 (87*2π)/5606 weeks
886.02958 1.76351 (88*2π)/5606 weeks
892.91279 5.42416 (89*2π)/5606 weeks
90-1.16562 4.24338 (90*2π)/5606 weeks
91-1.49286 .55571 (91*2π)/5606 weeks
921.64283 -.53753 (92*2π)/5606 weeks
933.40134 2.15176 (93*2π)/5606 weeks
941.15906 4.52132 (94*2π)/5606 weeks
95-2.41416 2.71445 (95*2π)/5606 weeks
96-.43011 -1.86732 (96*2π)/5606 weeks
973.59311 .34468 (97*2π)/5606 weeks
982.07377 3.25961 (98*2π)/5606 weeks
99-.95703 2.82225 (99*2π)/5606 weeks
100-1.4992 -.34154 (100*2π)/5606 weeks
1011.37843 -2.31799 (101*2π)/5606 weeks
1024.79437 -.0196 (102*2π)/5605 weeks
1034.35682 3.91305 (103*2π)/5605 weeks
104-.1881 5.23432 (104*2π)/5605 weeks
105-3.23937 .96638 (105*2π)/5605 weeks
106-.23664 -3.05968 (106*2π)/5605 weeks
1074.61377 -2.4821 (107*2π)/5605 weeks
1086.43761 2.63763 (108*2π)/5605 weeks
1092.99123 6.03575 (109*2π)/5605 weeks
110-2.05129 5.12732 (110*2π)/5605 weeks
111-3.49881 -.18949 (111*2π)/5605 weeks
112.92492 -3.1936 (112*2π)/5605 weeks
1135.31134 -.61735 (113*2π)/5605 weeks
1144.5574 3.86527 (114*2π)/5605 weeks
1151.09637 5.00618 (115*2π)/5605 weeks
116-1.85648 3.6459 (116*2π)/5605 weeks
117-2.37311 -.63596 (117*2π)/5605 weeks
1181.42202 -1.90444 (118*2π)/5605 weeks
1193.37054 .38485 (119*2π)/5605 weeks
1203.07458 1.89578 (120*2π)/5605 weeks
1211.56898 3.10331 (121*2π)/5605 weeks
122-.24038 2.25932 (122*2π)/5605 weeks
123-.74258 .28377 (123*2π)/5605 weeks
1241.66967 -1.42571 (124*2π)/5605 weeks
1254.29617 .49637 (125*2π)/5604 weeks
1263.08434 3.88645 (126*2π)/5604 weeks
127.14401 3.47511 (127*2π)/5604 weeks
128-.70931 1.41831 (128*2π)/5604 weeks
129.4886 .43845 (129*2π)/5604 weeks
1301.04535 .99744 (130*2π)/5604 weeks
1311.01411 .62853 (131*2π)/5604 weeks
1321.71298 .95645 (132*2π)/5604 weeks
1331.31126 1.76136 (133*2π)/5604 weeks
134.41059 .98175 (134*2π)/5604 weeks
1351.1219 -.17644 (135*2π)/5604 weeks
1362.58406 .62161 (136*2π)/5604 weeks
1372.50522 2.02077 (137*2π)/5604 weeks
1382.08955 2.83713 (138*2π)/5604 weeks
139.10341 3.02542 (139*2π)/5604 weeks
140-.37207 1.22445 (140*2π)/5604 weeks
141.14965 1.24439 (141*2π)/5604 weeks
142-.18513 .40659 (142*2π)/5604 weeks
1431.03385 -.33105 (143*2π)/5604 weeks
1442.48208 -.23992 (144*2π)/5604 weeks
1453.25965 2.50914 (145*2π)/5604 weeks
146-.31316 3.52673 (146*2π)/5604 weeks
147-1.59624 .12752 (147*2π)/5604 weeks
1481.18486 -1.29293 (148*2π)/5604 weeks
1493.20679 .2655 (149*2π)/5604 weeks
1502.76548 2.98877 (150*2π)/5604 weeks
151-.35336 3.19958 (151*2π)/5604 weeks
152-1.265 .90854 (152*2π)/5604 weeks
153-.23953 -1.24243 (153*2π)/5604 weeks
1542.77349 -.7539 (154*2π)/5604 weeks
1552.45024 1.62333 (155*2π)/5604 weeks
1561.33026 1.90533 (156*2π)/5604 weeks
157.52992 1.53009 (157*2π)/5604 weeks
158.48742 .79593 (158*2π)/5604 weeks
159.73269 .59901 (159*2π)/5604 weeks
1601.18058 .02275 (160*2π)/5604 weeks
1612.61303 .90032 (161*2π)/5603 weeks
1621.21797 2.35475 (162*2π)/5603 weeks
163.6701 1.42328 (163*2π)/5603 weeks
164.63902 1.49599 (164*2π)/5603 weeks
165-.05222 .89824 (165*2π)/5603 weeks
166.46294 -.0816 (166*2π)/5603 weeks
1671.95331 -.34741 (167*2π)/5603 weeks
1682.40583 1.48379 (168*2π)/5603 weeks
1691.56319 2.67666 (169*2π)/5603 weeks
170-.75743 2.54015 (170*2π)/5603 weeks
171-1.36411 .23022 (171*2π)/5603 weeks
172.1835 -1.26147 (172*2π)/5603 weeks
1732.18565 -.57587 (173*2π)/5603 weeks
1742.30452 1.12643 (174*2π)/5603 weeks
1751.22347 2.07615 (175*2π)/5603 weeks
176-.0826 1.3969 (176*2π)/5603 weeks
177-.42888 .21638 (177*2π)/5603 weeks
178.18437 -1.05462 (178*2π)/5603 weeks
1792.28896 -1.33613 (179*2π)/5603 weeks
1803.6882 .59816 (180*2π)/5603 weeks
1812.83299 2.9684 (181*2π)/5603 weeks
182-.21076 3.45567 (182*2π)/5603 weeks
183-1.7667 .86024 (183*2π)/5603 weeks
184-.19968 -1.54768 (184*2π)/5603 weeks
1852.5356 -1.2055 (185*2π)/5603 weeks
1863.0461 1.41134 (186*2π)/5603 weeks
1871.46196 2.5577 (187*2π)/5603 weeks
188-.69292 1.92525 (188*2π)/5603 weeks
189-.35174 -.17305 (189*2π)/5603 weeks
190.73926 -.37473 (190*2π)/5603 weeks
1912.1674 -.00095 (191*2π)/5603 weeks
1921.69116 1.86697 (192*2π)/5603 weeks
193-.17844 1.57863 (193*2π)/5603 weeks
194-.37304 .34798 (194*2π)/5603 weeks
195.22248 -.60876 (195*2π)/5603 weeks
1961.50303 -.49611 (196*2π)/5603 weeks
1971.15386 -.14787 (197*2π)/5603 weeks
1982.59424 -.50607 (198*2π)/5603 weeks
1992.29822 2.15915 (199*2π)/5603 weeks
200.72324 1.35326 (200*2π)/5603 weeks
201.71912 1.22372 (201*2π)/5603 weeks
202.36054 .67094 (202*2π)/5603 weeks
203.90103 .77478 (203*2π)/5603 weeks
204-.02582 .51229 (204*2π)/5603 weeks
2051.37029 -.22706 (205*2π)/5603 weeks
206.88937 1.17854 (206*2π)/5603 weeks
207.70848 .39744 (207*2π)/5603 weeks
208.43162 1.08267 (208*2π)/5603 weeks
209-.29594 -.73291 (209*2π)/5603 weeks
2101.86937 -1.26684 (210*2π)/5603 weeks
2112.80698 .83921 (211*2π)/5603 weeks
2121.29761 2.19979 (212*2π)/5603 weeks
213-.79122 1.27726 (213*2π)/5603 weeks
214-.24337 -1.2054 (214*2π)/5603 weeks
2152.10883 -.85171 (215*2π)/5603 weeks
2162.57267 .5596 (216*2π)/5603 weeks
2171.99929 2.34014 (217*2π)/5603 weeks
218-1.01889 2.19271 (218*2π)/5603 weeks
219-1.13254 -.87222 (219*2π)/5603 weeks
2201.36953 -1.79214 (220*2π)/5603 weeks
2213.03715 .0416 (221*2π)/5603 weeks
2221.65289 2.05381 (222*2π)/5603 weeks
223-.21805 .93013 (223*2π)/5603 weeks
224.74366 -.57093 (224*2π)/5603 weeks
2251.97021 .15757 (225*2π)/5602 weeks
2261.82702 1.11395 (226*2π)/5602 weeks
2271.13973 2.25192 (227*2π)/5602 weeks
228-1.20178 1.83211 (228*2π)/5602 weeks
229-1.21228 -1.02117 (229*2π)/5602 weeks
2301.0241 -1.6423 (230*2π)/5602 weeks
2312.84868 -.43784 (231*2π)/5602 weeks
2321.9796 2.35389 (232*2π)/5602 weeks
233-.59943 1.55902 (233*2π)/5602 weeks
234-.97636 .14676 (234*2π)/5602 weeks
235-.30017 -1.48864 (235*2π)/5602 weeks
2361.99915 -1.54788 (236*2π)/5602 weeks
2372.785 .50917 (237*2π)/5602 weeks
2381.48965 1.96828 (238*2π)/5602 weeks
239-.76881 1.77133 (239*2π)/5602 weeks
240-1.41959 -.86222 (240*2π)/5602 weeks
241.61612 -2.21956 (241*2π)/5602 weeks
2422.34457 -1.32475 (242*2π)/5602 weeks
2433.14287 .26592 (243*2π)/5602 weeks
2441.26315 2.08859 (244*2π)/5602 weeks
245.14006 .68511 (245*2π)/5602 weeks
246.09078 .1833 (246*2π)/5602 weeks
247.88136 -.60672 (247*2π)/5602 weeks
2481.02905 .14547 (248*2π)/5602 weeks
249.94592 -.26366 (249*2π)/5602 weeks
2501.58366 .25138 (250*2π)/5602 weeks
251.75705 .88992 (251*2π)/5602 weeks
252.31519 .04317 (252*2π)/5602 weeks
253.0034 -.40268 (253*2π)/5602 weeks
2541.13293 -1.44567 (254*2π)/5602 weeks
2552.69408 -.60653 (255*2π)/5602 weeks
2562.27507 1.08141 (256*2π)/5602 weeks
2571.21545 1.79491 (257*2π)/5602 weeks
258-.44163 1.66863 (258*2π)/5602 weeks
259-1.70822 -.25708 (259*2π)/5602 weeks
260-.5929 -2.58523 (260*2π)/5602 weeks
2612.89508 -3.13976 (261*2π)/5602 weeks
2624.54966 .56357 (262*2π)/5602 weeks
2631.94122 2.79742 (263*2π)/5602 weeks
264-.39859 2.24183 (264*2π)/5602 weeks
265-2.03439 -.39297 (265*2π)/5602 weeks
266.30679 -3.05812 (266*2π)/5602 weeks
2673.61199 -1.72024 (267*2π)/5602 weeks
2683.03634 2.02057 (268*2π)/5602 weeks
269.15008 2.14988 (269*2π)/5602 weeks
270-1.07396 .24219 (270*2π)/5602 weeks
271-.27146 -1.80134 (271*2π)/5602 weeks
2721.66973 -2.40815 (272*2π)/5602 weeks
2733.85254 -.58916 (273*2π)/5602 weeks
2742.50391 2.64741 (274*2π)/5602 weeks
275-.71492 1.61154 (275*2π)/5602 weeks
276-.52476 -1.033 (276*2π)/5602 weeks
277.95513 -1.45025 (277*2π)/5602 weeks
2781.76116 -.56672 (278*2π)/5602 weeks
2791.60661 -.52074 (279*2π)/5602 weeks
2802.25055   (280*2π)/5602 weeks
2811.60661 .52074 (281*2π)/5602 weeks
2821.76116 .56672 (282*2π)/5602 weeks
283.95513 1.45025 (283*2π)/5602 weeks
284-.52476 1.033 (284*2π)/5602 weeks
285-.71492 -1.61154 (285*2π)/5602 weeks
2862.50391 -2.64741 (286*2π)/5602 weeks
2873.85254 .58916 (287*2π)/5602 weeks
2881.66973 2.40815 (288*2π)/5602 weeks
289-.27146 1.80134 (289*2π)/5602 weeks
290-1.07396 -.24219 (290*2π)/5602 weeks
291.15008 -2.14988 (291*2π)/5602 weeks
2923.03634 -2.02057 (292*2π)/5602 weeks
2933.61199 1.72024 (293*2π)/5602 weeks
294.30679 3.05812 (294*2π)/5602 weeks
295-2.03439 .39297 (295*2π)/5602 weeks
296-.39859 -2.24183 (296*2π)/5602 weeks
2971.94122 -2.79742 (297*2π)/5602 weeks
2984.54966 -.56357 (298*2π)/5602 weeks
2992.89508 3.13976 (299*2π)/5602 weeks
300-.5929 2.58523 (300*2π)/5602 weeks
301-1.70822 .25708 (301*2π)/5602 weeks
302-.44163 -1.66863 (302*2π)/5602 weeks
3031.21545 -1.79491 (303*2π)/5602 weeks
3042.27507 -1.08141 (304*2π)/5602 weeks
3052.69408 .60653 (305*2π)/5602 weeks
3061.13293 1.44567 (306*2π)/5602 weeks
307.0034 .40268 (307*2π)/5602 weeks
308.31519 -.04317 (308*2π)/5602 weeks
309.75705 -.88992 (309*2π)/5602 weeks
3101.58366 -.25138 (310*2π)/5602 weeks
311.94592 .26366 (311*2π)/5602 weeks
3121.02905 -.14547 (312*2π)/5602 weeks
313.88136 .60672 (313*2π)/5602 weeks
314.09078 -.1833 (314*2π)/5602 weeks
315.14006 -.68511 (315*2π)/5602 weeks
3161.26315 -2.08859 (316*2π)/5602 weeks
3173.14287 -.26592 (317*2π)/5602 weeks
3182.34457 1.32475 (318*2π)/5602 weeks
319.61612 2.21956 (319*2π)/5602 weeks
320-1.41959 .86222 (320*2π)/5602 weeks
321-.76881 -1.77133 (321*2π)/5602 weeks
3221.48965 -1.96828 (322*2π)/5602 weeks
3232.785 -.50917 (323*2π)/5602 weeks
3241.99915 1.54788 (324*2π)/5602 weeks
325-.30017 1.48864 (325*2π)/5602 weeks
326-.97636 -.14676 (326*2π)/5602 weeks
327-.59943 -1.55902 (327*2π)/5602 weeks
3281.9796 -2.35389 (328*2π)/5602 weeks
3292.84868 .43784 (329*2π)/5602 weeks
3301.0241 1.6423 (330*2π)/5602 weeks
331-1.21228 1.02117 (331*2π)/5602 weeks
332-1.20178 -1.83211 (332*2π)/5602 weeks
3331.13973 -2.25192 (333*2π)/5602 weeks
3341.82702 -1.11395 (334*2π)/5602 weeks
3351.97021 -.15757 (335*2π)/5602 weeks
336.74366 .57093 (336*2π)/5602 weeks
337-.21805 -.93013 (337*2π)/5602 weeks
3381.65289 -2.05381 (338*2π)/5602 weeks
3393.03715 -.0416 (339*2π)/5602 weeks
3401.36953 1.79214 (340*2π)/5602 weeks
341-1.13254 .87222 (341*2π)/5602 weeks
342-1.01889 -2.19271 (342*2π)/5602 weeks
3431.99929 -2.34014 (343*2π)/5602 weeks
3442.57267 -.5596 (344*2π)/5602 weeks
3452.10883 .85171 (345*2π)/5602 weeks
346-.24337 1.2054 (346*2π)/5602 weeks
347-.79122 -1.27726 (347*2π)/5602 weeks
3481.29761 -2.19979 (348*2π)/5602 weeks
3492.80698 -.83921 (349*2π)/5602 weeks
3501.86937 1.26684 (350*2π)/5602 weeks
351-.29594 .73291 (351*2π)/5602 weeks
352.43162 -1.08267 (352*2π)/5602 weeks
353.70848 -.39744 (353*2π)/5602 weeks
354.88937 -1.17854 (354*2π)/5602 weeks
3551.37029 .22706 (355*2π)/5602 weeks
356-.02582 -.51229 (356*2π)/5602 weeks
357.90103 -.77478 (357*2π)/5602 weeks
358.36054 -.67094 (358*2π)/5602 weeks
359.71912 -1.22372 (359*2π)/5602 weeks
360.72324 -1.35326 (360*2π)/5602 weeks
3612.29822 -2.15915 (361*2π)/5602 weeks
3622.59424 .50607 (362*2π)/5602 weeks
3631.15386 .14787 (363*2π)/5602 weeks
3641.50303 .49611 (364*2π)/5602 weeks
365.22248 .60876 (365*2π)/5602 weeks
366-.37304 -.34798 (366*2π)/5602 weeks
367-.17844 -1.57863 (367*2π)/5602 weeks
3681.69116 -1.86697 (368*2π)/5602 weeks
3692.1674 .00095 (369*2π)/5602 weeks
370.73926 .37473 (370*2π)/5602 weeks
371-.35174 .17305 (371*2π)/5602 weeks
372-.69292 -1.92525 (372*2π)/5602 weeks
3731.46196 -2.5577 (373*2π)/5602 weeks
3743.0461 -1.41134 (374*2π)/5601 weeks
3752.5356 1.2055 (375*2π)/5601 weeks
376-.19968 1.54768 (376*2π)/5601 weeks
377-1.7667 -.86024 (377*2π)/5601 weeks
378-.21076 -3.45567 (378*2π)/5601 weeks
3792.83299 -2.9684 (379*2π)/5601 weeks
3803.6882 -.59816 (380*2π)/5601 weeks
3812.28896 1.33613 (381*2π)/5601 weeks
382.18437 1.05462 (382*2π)/5601 weeks
383-.42888 -.21638 (383*2π)/5601 weeks
384-.0826 -1.3969 (384*2π)/5601 weeks
3851.22347 -2.07615 (385*2π)/5601 weeks
3862.30452 -1.12643 (386*2π)/5601 weeks
3872.18565 .57587 (387*2π)/5601 weeks
388.1835 1.26147 (388*2π)/5601 weeks
389-1.36411 -.23022 (389*2π)/5601 weeks
390-.75743 -2.54015 (390*2π)/5601 weeks
3911.56319 -2.67666 (391*2π)/5601 weeks
3922.40583 -1.48379 (392*2π)/5601 weeks
3931.95331 .34741 (393*2π)/5601 weeks
394.46294 .0816 (394*2π)/5601 weeks
395-.05222 -.89824 (395*2π)/5601 weeks
396.63902 -1.49599 (396*2π)/5601 weeks
397.6701 -1.42328 (397*2π)/5601 weeks
3981.21797 -2.35475 (398*2π)/5601 weeks
3992.61303 -.90032 (399*2π)/5601 weeks
4001.18058 -.02275 (400*2π)/5601 weeks
401.73269 -.59901 (401*2π)/5601 weeks
402.48742 -.79593 (402*2π)/5601 weeks
403.52992 -1.53009 (403*2π)/5601 weeks
4041.33026 -1.90533 (404*2π)/5601 weeks
4052.45024 -1.62333 (405*2π)/5601 weeks
4062.77349 .7539 (406*2π)/5601 weeks
407-.23953 1.24243 (407*2π)/5601 weeks
408-1.265 -.90854 (408*2π)/5601 weeks
409-.35336 -3.19958 (409*2π)/5601 weeks
4102.76548 -2.98877 (410*2π)/5601 weeks
4113.20679 -.2655 (411*2π)/5601 weeks
4121.18486 1.29293 (412*2π)/5601 weeks
413-1.59624 -.12752 (413*2π)/5601 weeks
414-.31316 -3.52673 (414*2π)/5601 weeks
4153.25965 -2.50914 (415*2π)/5601 weeks
4162.48208 .23992 (416*2π)/5601 weeks
4171.03385 .33105 (417*2π)/5601 weeks
418-.18513 -.40659 (418*2π)/5601 weeks
419.14965 -1.24439 (419*2π)/5601 weeks
420-.37207 -1.22445 (420*2π)/5601 weeks
421.10341 -3.02542 (421*2π)/5601 weeks
4222.08955 -2.83713 (422*2π)/5601 weeks
4232.50522 -2.02077 (423*2π)/5601 weeks
4242.58406 -.62161 (424*2π)/5601 weeks
4251.1219 .17644 (425*2π)/5601 weeks
426.41059 -.98175 (426*2π)/5601 weeks
4271.31126 -1.76136 (427*2π)/5601 weeks
4281.71298 -.95645 (428*2π)/5601 weeks
4291.01411 -.62853 (429*2π)/5601 weeks
4301.04535 -.99744 (430*2π)/5601 weeks
431.4886 -.43845 (431*2π)/5601 weeks
432-.70931 -1.41831 (432*2π)/5601 weeks
433.14401 -3.47511 (433*2π)/5601 weeks
4343.08434 -3.88645 (434*2π)/5601 weeks
4354.29617 -.49637 (435*2π)/5601 weeks
4361.66967 1.42571 (436*2π)/5601 weeks
437-.74258 -.28377 (437*2π)/5601 weeks
438-.24038 -2.25932 (438*2π)/5601 weeks
4391.56898 -3.10331 (439*2π)/5601 weeks
4403.07458 -1.89578 (440*2π)/5601 weeks
4413.37054 -.38485 (441*2π)/5601 weeks
4421.42202 1.90444 (442*2π)/5601 weeks
443-2.37311 .63596 (443*2π)/5601 weeks
444-1.85648 -3.6459 (444*2π)/5601 weeks
4451.09637 -5.00618 (445*2π)/5601 weeks
4464.5574 -3.86527 (446*2π)/5601 weeks
4475.31134 .61735 (447*2π)/5601 weeks
448.92492 3.1936 (448*2π)/5601 weeks
449-3.49881 .18949 (449*2π)/5601 weeks
450-2.05129 -5.12732 (450*2π)/5601 weeks
4512.99123 -6.03575 (451*2π)/5601 weeks
4526.43761 -2.63763 (452*2π)/5601 weeks
4534.61377 2.4821 (453*2π)/5601 weeks
454-.23664 3.05968 (454*2π)/5601 weeks
455-3.23937 -.96638 (455*2π)/5601 weeks
456-.1881 -5.23432 (456*2π)/5601 weeks
4574.35682 -3.91305 (457*2π)/5601 weeks
4584.79437 .0196 (458*2π)/5601 weeks
4591.37843 2.31799 (459*2π)/5601 weeks
460-1.4992 .34154 (460*2π)/5601 weeks
461-.95703 -2.82225 (461*2π)/5601 weeks
4622.07377 -3.25961 (462*2π)/5601 weeks
4633.59311 -.34468 (463*2π)/5601 weeks
464-.43011 1.86732 (464*2π)/5601 weeks
465-2.41416 -2.71445 (465*2π)/5601 weeks
4661.15906 -4.52132 (466*2π)/5601 weeks
4673.40134 -2.15176 (467*2π)/5601 weeks
4681.64283 .53753 (468*2π)/5601 weeks
469-1.49286 -.55571 (469*2π)/5601 weeks
470-1.16562 -4.24338 (470*2π)/5601 weeks
4712.91279 -5.42416 (471*2π)/5601 weeks
4726.02958 -1.76351 (472*2π)/5601 weeks
4733.11125 3.49125 (473*2π)/5601 weeks
474-2.88965 1.55808 (474*2π)/5601 weeks
475-2.78311 -2.93915 (475*2π)/5601 weeks
476-1.06754 -5.78067 (476*2π)/5601 weeks
4773.96207 -5.72432 (477*2π)/5601 weeks
4785.33422 -1.42697 (478*2π)/5601 weeks
4793.34662 2.36395 (479*2π)/5601 weeks
480-2.75051 1.45987 (480*2π)/5601 weeks
481-2.06154 -4.62558 (481*2π)/5601 weeks
4821.80205 -4.09172 (482*2π)/5601 weeks
4832.99128 -4.27048 (483*2π)/5601 weeks
4845.7074 -.55733 (484*2π)/5601 weeks
4851.30106 3.8983 (485*2π)/5601 weeks
486-3.77949 .98218 (486*2π)/5601 weeks
487-4.43763 -4.90794 (487*2π)/5601 weeks
4881.44358 -7.67602 (488*2π)/5601 weeks
4895.0951 -2.36828 (489*2π)/5601 weeks
490.40717 -.04112 (490*2π)/5601 weeks
491-.31235 -2.83314 (491*2π)/5601 weeks
492-.02013 -4.90347 (492*2π)/5601 weeks
4935.10208 -4.28691 (493*2π)/5601 weeks
4944.38221 1.23087 (494*2π)/5601 weeks
495-1.30921 1.78547 (495*2π)/5601 weeks
496-3.5571 -2.31599 (496*2π)/5601 weeks
497-.79362 -7.18713 (497*2π)/5601 weeks
4984.82057 -4.6796 (498*2π)/5601 weeks
4992.99653 -.03976 (499*2π)/5601 weeks
500-.80205 .08261 (500*2π)/5601 weeks
501-3.40045 -3.97709 (501*2π)/5601 weeks
502.30046 -8.81482 (502*2π)/5601 weeks
5037.76599 -5.11897 (503*2π)/5601 weeks
5044.92117 1.51212 (504*2π)/5601 weeks
505-.02867 1.32582 (505*2π)/5601 weeks
506-2.24691 -1.79141 (506*2π)/5601 weeks
507-.88304 -5.24629 (507*2π)/5601 weeks
5083.28157 -4.58651 (508*2π)/5601 weeks
5093.04854 -.6662 (509*2π)/5601 weeks
510-.53444 1.11496 (510*2π)/5601 weeks
511-3.61487 -2.28432 (511*2π)/5601 weeks
512-3.73361 -6.07104 (512*2π)/5601 weeks
5131.22495 -7.73421 (513*2π)/5601 weeks
5142.95304 -4.39863 (514*2π)/5601 weeks
5151.62007 -3.16211 (515*2π)/5601 weeks
516-1.26649 -2.72004 (516*2π)/5601 weeks
517-.39439 -7.97946 (517*2π)/5601 weeks
5185.73268 -5.91472 (518*2π)/5601 weeks
5192.99402 -.85212 (519*2π)/5601 weeks
520-.45038 -.39063 (520*2π)/5601 weeks
521-5.38093 -3.49942 (521*2π)/5601 weeks
522-3.12198 -12.15789 (522*2π)/5601 weeks
5237.53005 -12.57234 (523*2π)/5601 weeks
52413.56903 -2.03653 (524*2π)/5601 weeks
5254.28475 11.7166 (525*2π)/5601 weeks
526-16.45766 5.15337 (526*2π)/5601 weeks
527-15.69552 -16.81895 (527*2π)/5601 weeks
5283.61807 -24.10542 (528*2π)/5601 weeks
52919.29579 -11.152 (529*2π)/5601 weeks
53012.46453 8.36666 (530*2π)/5601 weeks
531-7.1695 8.5249 (531*2π)/5601 weeks
532-14.96984 -4.54799 (532*2π)/5601 weeks
533-10.96454 -19.47194 (533*2π)/5601 weeks
5348.24952 -20.82106 (534*2π)/5601 weeks
53511.57736 -5.55335 (535*2π)/5601 weeks
5362.31572 -.07999 (536*2π)/5601 weeks
537-6.84545 -7.61208 (537*2π)/5601 weeks
538-1.37587 -15.5132 (538*2π)/5601 weeks
5395.99271 -13.24919 (539*2π)/5601 weeks
5405.48319 -8.41934 (540*2π)/5601 weeks
5414.41956 -9.40911 (541*2π)/5601 weeks
5422.4469 -5.73633 (542*2π)/5601 weeks
543-1.23373 -12.32299 (543*2π)/5601 weeks
5444.45747 -10.17858 (544*2π)/5601 weeks
545-.93232 -7.03468 (545*2π)/5601 weeks
546-6.76661 -11.34445 (546*2π)/5601 weeks
547-9.7257 -26.35222 (547*2π)/5601 weeks
54814.27616 -36.37266 (548*2π)/5601 weeks
54924.78597 -14.2788 (549*2π)/5601 weeks
55019.65373 -2.83373 (550*2π)/5601 weeks
551-4.45772 13.5644 (551*2π)/5601 weeks
552-38.42579 -20.54753 (552*2π)/5601 weeks
553-7.53215 -65.19599 (553*2π)/5601 weeks
55441.20074 -56.68558 (554*2π)/5601 weeks
55553.6572 -8.81007 (555*2π)/5601 weeks
5565.15021 28.1741 (556*2π)/5601 weeks
557-79.14595 -21.26452 (557*2π)/5601 weeks
558-64.11536 -153.3629 (558*2π)/5601 weeks



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