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Fourier Analysis of RXD (ProShares UltraShort Health Care)


RXD (ProShares UltraShort Health Care) appears to have interesting cyclic behaviour every 45 weeks (23.9298*sine), 59 weeks (23.2652*sine), and 53 weeks (22.7764*sine).

RXD (ProShares UltraShort Health Care) has an average price of 350.31 (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 4/23/2018 for RXD (ProShares UltraShort Health Care), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0350.3084   0 
1108.4008 380.2156 (1*2π)/587587 weeks
2-41.19262 158.3136 (2*2π)/587294 weeks
3-55.98409 74.9519 (3*2π)/587196 weeks
4-22.01604 16.9241 (4*2π)/587147 weeks
517.53436 14.69222 (5*2π)/587117 weeks
630.54564 36.87541 (6*2π)/58798 weeks
75.36575 52.54625 (7*2π)/58784 weeks
8-17.31098 32.3721 (8*2π)/58773 weeks
92.11999 6.79898 (9*2π)/58765 weeks
1014.53193 23.26521 (10*2π)/58759 weeks
111.86698 22.77638 (11*2π)/58753 weeks
125.58404 21.93258 (12*2π)/58749 weeks
13-1.40074 23.92983 (13*2π)/58745 weeks
14-4.69787 18.56163 (14*2π)/58742 weeks
15-5.2747 13.14624 (15*2π)/58739 weeks
16-2.22597 3.9006 (16*2π)/58737 weeks
177.35761 8.85768 (17*2π)/58735 weeks
18.00744 6.28963 (18*2π)/58733 weeks
1913.78745 4.09216 (19*2π)/58731 weeks
2013.15789 19.31761 (20*2π)/58729 weeks
212.42348 21.47295 (21*2π)/58728 weeks
22-3.68126 15.32272 (22*2π)/58727 weeks
23-3.42723 8.50651 (23*2π)/58726 weeks
24.72477 3.74488 (24*2π)/58724 weeks
259.47219 7.18717 (25*2π)/58723 weeks
267.72185 13.92984 (26*2π)/58723 weeks
272.35998 18.11984 (27*2π)/58722 weeks
28-7.25557 15.47382 (28*2π)/58721 weeks
29-6.72773 4.77342 (29*2π)/58720 weeks
30-.13639 2.65963 (30*2π)/58720 weeks
314.29366 2.34926 (31*2π)/58719 weeks
328.73377 7.141 (32*2π)/58718 weeks
334.90533 15.97421 (33*2π)/58718 weeks
34-3.36001 15.45479 (34*2π)/58717 weeks
35-7.95015 9.11342 (35*2π)/58717 weeks
36-6.27322 .50507 (36*2π)/58716 weeks
372.35996 -.4285 (37*2π)/58716 weeks
383.79517 5.83714 (38*2π)/58715 weeks
39.55933 7.56632 (39*2π)/58715 weeks
40-.30783 4.03539 (40*2π)/58715 weeks
411.92866 5.10518 (41*2π)/58714 weeks
422.35839 6.34694 (42*2π)/58714 weeks
43-1.41452 6.33473 (43*2π)/58714 weeks
442.19677 4.37037 (44*2π)/58713 weeks
45-.45172 7.5486 (45*2π)/58713 weeks
46-1.23259 2.74125 (46*2π)/58713 weeks
472.10041 3.83034 (47*2π)/58712 weeks
482.16104 4.81833 (48*2π)/58712 weeks
491.44608 7.09567 (49*2π)/58712 weeks
50-2.04003 6.85141 (50*2π)/58712 weeks
51-1.92215 3.90659 (51*2π)/58712 weeks
52-2.13694 2.56991 (52*2π)/58711 weeks
53-.06409 .90393 (53*2π)/58711 weeks
542.43642 1.67313 (54*2π)/58711 weeks
552.04308 4.87633 (55*2π)/58711 weeks
56-.43982 3.71273 (56*2π)/58710 weeks
57-.32275 3.07766 (57*2π)/58710 weeks
58-.4273 .90692 (58*2π)/58710 weeks
593.02872 .93238 (59*2π)/58710 weeks
603.7048 4.16054 (60*2π)/58710 weeks
611.37006 4.09116 (61*2π)/58710 weeks
621.19564 4.02478 (62*2π)/5879 weeks
63-.49215 4.12072 (63*2π)/5879 weeks
64.13776 .65407 (64*2π)/5879 weeks
653.38248 2.8021 (65*2π)/5879 weeks
66.75634 4.33516 (66*2π)/5879 weeks
67.64397 2.7171 (67*2π)/5879 weeks
68.07388 2.4351 (68*2π)/5879 weeks
691.38219 1.30557 (69*2π)/5879 weeks
703.10122 2.83023 (70*2π)/5878 weeks
71.03906 3.89838 (71*2π)/5878 weeks
721.49877 2.00607 (72*2π)/5878 weeks
73.56313 2.43757 (73*2π)/5878 weeks
743.13738 1.35013 (74*2π)/5878 weeks
753.36276 5.10857 (75*2π)/5878 weeks
76-1.33965 5.60911 (76*2π)/5878 weeks
77-2.58889 1.82591 (77*2π)/5878 weeks
78-1.18483 -.49231 (78*2π)/5878 weeks
792.93664 -1.56885 (79*2π)/5877 weeks
805.16831 1.96547 (80*2π)/5877 weeks
813.5783 4.09316 (81*2π)/5877 weeks
822.44641 6.52842 (82*2π)/5877 weeks
83-4.26372 5.65486 (83*2π)/5877 weeks
84-3.13604 -2.16821 (84*2π)/5877 weeks
852.6437 -2.57385 (85*2π)/5877 weeks
865.26975 .37396 (86*2π)/5877 weeks
874.70913 4.29637 (87*2π)/5877 weeks
881.02413 5.63465 (88*2π)/5877 weeks
89-1.10161 2.95205 (89*2π)/5877 weeks
90-.82845 .24119 (90*2π)/5877 weeks
913.37879 -1.76163 (91*2π)/5876 weeks
926.02933 2.58459 (92*2π)/5876 weeks
933.86389 6.02416 (93*2π)/5876 weeks
94-.3236 6.54068 (94*2π)/5876 weeks
95-2.19738 3.84951 (95*2π)/5876 weeks
96-1.76749 .10165 (96*2π)/5876 weeks
972.18939 -.71838 (97*2π)/5876 weeks
983.23763 2.12303 (98*2π)/5876 weeks
991.46515 3.34658 (99*2π)/5876 weeks
100-.00135 2.45045 (100*2π)/5876 weeks
1011.6562 1.54258 (101*2π)/5876 weeks
1021.14407 2.79687 (102*2π)/5876 weeks
103.32201 2.52925 (103*2π)/5876 weeks
104-.16715 1.55902 (104*2π)/5876 weeks
105.50626 .63256 (105*2π)/5876 weeks
1061.99177 .32008 (106*2π)/5876 weeks
1072.71724 2.58621 (107*2π)/5875 weeks
1081.01229 3.72508 (108*2π)/5875 weeks
109-1.11774 2.15254 (109*2π)/5875 weeks
110-1.00673 .4883 (110*2π)/5875 weeks
111.55609 -1.4809 (111*2π)/5875 weeks
1123.3018 -1.12794 (112*2π)/5875 weeks
1134.4827 1.3786 (113*2π)/5875 weeks
1143.93211 3.05616 (114*2π)/5875 weeks
1151.89593 5.0311 (115*2π)/5875 weeks
116-1.34569 3.90665 (116*2π)/5875 weeks
117-1.55659 .92073 (117*2π)/5875 weeks
118.29544 -1.57968 (118*2π)/5875 weeks
1193.73555 -.41574 (119*2π)/5875 weeks
1203.81391 3.14008 (120*2π)/5875 weeks
121.99468 4.14319 (121*2π)/5875 weeks
122-.9096 2.40052 (122*2π)/5875 weeks
123-.63203 .23751 (123*2π)/5875 weeks
1241.64422 -.62311 (124*2π)/5875 weeks
1252.80609 1.11005 (125*2π)/5875 weeks
1262.79164 2.37679 (126*2π)/5875 weeks
127.96006 3.56529 (127*2π)/5875 weeks
128-.51417 1.39128 (128*2π)/5875 weeks
129.47616 .13904 (129*2π)/5875 weeks
1302.08708 .98398 (130*2π)/5875 weeks
1311.5793 1.55495 (131*2π)/5874 weeks
1321.32814 2.29969 (132*2π)/5874 weeks
133.09898 1.26706 (133*2π)/5874 weeks
134.85838 .28414 (134*2π)/5874 weeks
1352.23979 .99772 (135*2π)/5874 weeks
1361.53399 2.26177 (136*2π)/5874 weeks
137-.3221 1.33115 (137*2π)/5874 weeks
138.69264 -.72198 (138*2π)/5874 weeks
1393.1524 .0737 (139*2π)/5874 weeks
1402.62016 1.75165 (140*2π)/5874 weeks
1412.09571 2.25781 (141*2π)/5874 weeks
1421.57475 2.54013 (142*2π)/5874 weeks
143.42115 2.34767 (143*2π)/5874 weeks
144-.16993 .61838 (144*2π)/5874 weeks
1451.29597 .469 (145*2π)/5874 weeks
1461.66864 .78611 (146*2π)/5874 weeks
1472.14591 1.35963 (147*2π)/5874 weeks
1481.14642 2.58712 (148*2π)/5874 weeks
149.02027 1.39204 (149*2π)/5874 weeks
150.39447 .65702 (150*2π)/5874 weeks
1511.71955 -.83322 (151*2π)/5874 weeks
1523.85731 1.51747 (152*2π)/5874 weeks
1531.0096 3.69252 (153*2π)/5874 weeks
154-1.07852 1.46663 (154*2π)/5874 weeks
155.40556 -.13812 (155*2π)/5874 weeks
1561.84656 .26604 (156*2π)/5874 weeks
1571.77877 1.23312 (157*2π)/5874 weeks
158.72902 1.83329 (158*2π)/5874 weeks
159.11016 .60496 (159*2π)/5874 weeks
160.97723 -.49734 (160*2π)/5874 weeks
1612.93977 -.33422 (161*2π)/5874 weeks
1623.1282 2.74275 (162*2π)/5874 weeks
163-.04265 2.77359 (163*2π)/5874 weeks
164-.0381 .86789 (164*2π)/5874 weeks
165.74606 -.04321 (165*2π)/5874 weeks
1661.87758 -.03586 (166*2π)/5874 weeks
1672.28747 1.1085 (167*2π)/5874 weeks
1681.83617 1.61357 (168*2π)/5873 weeks
1691.33279 2.38505 (169*2π)/5873 weeks
170-.75672 1.38644 (170*2π)/5873 weeks
171.54958 -.62494 (171*2π)/5873 weeks
1722.26566 -.08333 (172*2π)/5873 weeks
1732.40457 1.11077 (173*2π)/5873 weeks
1742.09741 1.93185 (174*2π)/5873 weeks
1751.90971 2.34547 (175*2π)/5873 weeks
176-.204 2.90271 (176*2π)/5873 weeks
177-.43557 .78643 (177*2π)/5873 weeks
178.03823 .76687 (178*2π)/5873 weeks
179.30212 -.51534 (179*2π)/5873 weeks
1801.79807 -.04785 (180*2π)/5873 weeks
1812.1077 .89922 (181*2π)/5873 weeks
1821.38959 1.73615 (182*2π)/5873 weeks
183-.00061 1.44716 (183*2π)/5873 weeks
184.0127 -.26106 (184*2π)/5873 weeks
1851.58717 -.21434 (185*2π)/5873 weeks
1861.97741 .12797 (186*2π)/5873 weeks
1872.48907 .94145 (187*2π)/5873 weeks
1881.62509 1.808 (188*2π)/5873 weeks
189.70047 1.8168 (189*2π)/5873 weeks
190.3417 1.19492 (190*2π)/5873 weeks
191-.11541 .31488 (191*2π)/5873 weeks
192.86942 -.59645 (192*2π)/5873 weeks
1931.54392 -.55349 (193*2π)/5873 weeks
1942.85488 .06596 (194*2π)/5873 weeks
1952.44946 1.86479 (195*2π)/5873 weeks
1961.21246 1.78218 (196*2π)/5873 weeks
197.30851 1.7588 (197*2π)/5873 weeks
198-.33528 .09728 (198*2π)/5873 weeks
1991.15579 -.68534 (199*2π)/5873 weeks
2002.45737 -.29363 (200*2π)/5873 weeks
2013.03036 1.72869 (201*2π)/5873 weeks
202.49222 3.14655 (202*2π)/5873 weeks
203-1.19638 .94517 (203*2π)/5873 weeks
204-.72736 -1.21251 (204*2π)/5873 weeks
2051.60748 -2.35458 (205*2π)/5873 weeks
2063.50874 -.44264 (206*2π)/5873 weeks
2072.99763 .92825 (207*2π)/5873 weeks
2082.75377 2.34837 (208*2π)/5873 weeks
209-.27477 2.40105 (209*2π)/5873 weeks
210.35687 -.22556 (210*2π)/5873 weeks
2111.35497 .26252 (211*2π)/5873 weeks
2121.66399 .09794 (212*2π)/5873 weeks
2132.44658 1.2771 (213*2π)/5873 weeks
214.94701 1.80052 (214*2π)/5873 weeks
2151.0518 1.56916 (215*2π)/5873 weeks
216-.50408 1.75147 (216*2π)/5873 weeks
217-.3831 -.63154 (217*2π)/5873 weeks
218.76307 -.2654 (218*2π)/5873 weeks
2191.1681 -1.10589 (219*2π)/5873 weeks
2202.85959 -.65435 (220*2π)/5873 weeks
2212.82985 1.51616 (221*2π)/5873 weeks
2221.45841 2.24039 (222*2π)/5873 weeks
223-.28152 1.87164 (223*2π)/5873 weeks
224-.64943 -.48154 (224*2π)/5873 weeks
2251.59401 -1.13545 (225*2π)/5873 weeks
2262.61059 -.37929 (226*2π)/5873 weeks
2273.04887 1.45343 (227*2π)/5873 weeks
2281.12307 3.31371 (228*2π)/5873 weeks
229-1.32073 1.26347 (229*2π)/5873 weeks
230-.7966 -.81642 (230*2π)/5873 weeks
231.99391 -1.95788 (231*2π)/5873 weeks
2323.54652 -.84259 (232*2π)/5873 weeks
2332.92948 1.63381 (233*2π)/5873 weeks
2341.63213 1.84743 (234*2π)/5873 weeks
235.68544 1.91357 (235*2π)/5872 weeks
236-.01243 .98513 (236*2π)/5872 weeks
237.38819 -.01394 (237*2π)/5872 weeks
2381.4435 .18832 (238*2π)/5872 weeks
239.98444 1.24074 (239*2π)/5872 weeks
240.10592 .31875 (240*2π)/5872 weeks
241.83814 -.27323 (241*2π)/5872 weeks
2421.83966 -.40747 (242*2π)/5872 weeks
2432.1466 1.50772 (243*2π)/5872 weeks
244.07346 1.56156 (244*2π)/5872 weeks
245-.00877 .39073 (245*2π)/5872 weeks
246.03055 -.18762 (246*2π)/5872 weeks
2471.23942 -1.0855 (247*2π)/5872 weeks
2482.31577 .08664 (248*2π)/5872 weeks
2491.68805 1.73309 (249*2π)/5872 weeks
250-.02256 1.45595 (250*2π)/5872 weeks
251-.93125 .34405 (251*2π)/5872 weeks
252-.48642 -1.60707 (252*2π)/5872 weeks
2531.71997 -1.92148 (253*2π)/5872 weeks
2542.90684 -.6535 (254*2π)/5872 weeks
2553.08928 1.17466 (255*2π)/5872 weeks
256.63867 2.10312 (256*2π)/5872 weeks
257-.25058 .61892 (257*2π)/5872 weeks
258-.33054 -.15226 (258*2π)/5872 weeks
259.80976 -1.58916 (259*2π)/5872 weeks
2601.97113 -.72578 (260*2π)/5872 weeks
2612.14936 .02215 (261*2π)/5872 weeks
2622.09415 1.24776 (262*2π)/5872 weeks
263.23096 1.60536 (263*2π)/5872 weeks
264-.48442 -.45545 (264*2π)/5872 weeks
265.39846 -1.15918 (265*2π)/5872 weeks
2661.77273 -1.7168 (266*2π)/5872 weeks
2673.1316 -.34382 (267*2π)/5872 weeks
2682.43509 1.34729 (268*2π)/5872 weeks
2691.1964 1.80519 (269*2π)/5872 weeks
270-.26218 1.13642 (270*2π)/5872 weeks
271-.64385 -.07302 (271*2π)/5872 weeks
272.27668 -1.37365 (272*2π)/5872 weeks
2731.24335 -1.86648 (273*2π)/5872 weeks
2743.37378 -.76854 (274*2π)/5872 weeks
2752.39468 1.60723 (275*2π)/5872 weeks
276.80973 1.28132 (276*2π)/5872 weeks
277.00279 .8778 (277*2π)/5872 weeks
278-.88133 -1.1266 (278*2π)/5872 weeks
2791.65162 -2.23944 (279*2π)/5872 weeks
2803.48536 -.60629 (280*2π)/5872 weeks
2812.20963 1.68116 (281*2π)/5872 weeks
282.70699 1.30532 (282*2π)/5872 weeks
283-.3644 .68865 (283*2π)/5872 weeks
284-.34202 -1.15965 (284*2π)/5872 weeks
2851.00931 -2.18623 (285*2π)/5872 weeks
2863.23424 -1.64497 (286*2π)/5872 weeks
2873.34599 1.01071 (287*2π)/5872 weeks
2881.01735 1.73534 (288*2π)/5872 weeks
289.07366 .54413 (289*2π)/5872 weeks
290-.08954 -.73564 (290*2π)/5872 weeks
2911.08648 -1.21704 (291*2π)/5872 weeks
2921.56354 -1.7231 (292*2π)/5872 weeks
2933.49064 -1.26869 (293*2π)/5872 weeks
2943.49064 1.26869 (294*2π)/5872 weeks
2951.56354 1.7231 (295*2π)/5872 weeks
2961.08648 1.21704 (296*2π)/5872 weeks
297-.08954 .73564 (297*2π)/5872 weeks
298.07366 -.54413 (298*2π)/5872 weeks
2991.01735 -1.73534 (299*2π)/5872 weeks
3003.34599 -1.01071 (300*2π)/5872 weeks
3013.23424 1.64497 (301*2π)/5872 weeks
3021.00931 2.18623 (302*2π)/5872 weeks
303-.34202 1.15965 (303*2π)/5872 weeks
304-.3644 -.68865 (304*2π)/5872 weeks
305.70699 -1.30532 (305*2π)/5872 weeks
3062.20963 -1.68116 (306*2π)/5872 weeks
3073.48536 .60629 (307*2π)/5872 weeks
3081.65162 2.23944 (308*2π)/5872 weeks
309-.88133 1.1266 (309*2π)/5872 weeks
310.00279 -.8778 (310*2π)/5872 weeks
311.80973 -1.28132 (311*2π)/5872 weeks
3122.39468 -1.60723 (312*2π)/5872 weeks
3133.37378 .76854 (313*2π)/5872 weeks
3141.24335 1.86648 (314*2π)/5872 weeks
315.27668 1.37365 (315*2π)/5872 weeks
316-.64385 .07302 (316*2π)/5872 weeks
317-.26218 -1.13642 (317*2π)/5872 weeks
3181.1964 -1.80519 (318*2π)/5872 weeks
3192.43509 -1.34729 (319*2π)/5872 weeks
3203.1316 .34382 (320*2π)/5872 weeks
3211.77273 1.7168 (321*2π)/5872 weeks
322.39846 1.15918 (322*2π)/5872 weeks
323-.48442 .45545 (323*2π)/5872 weeks
324.23096 -1.60536 (324*2π)/5872 weeks
3252.09415 -1.24776 (325*2π)/5872 weeks
3262.14936 -.02215 (326*2π)/5872 weeks
3271.97113 .72578 (327*2π)/5872 weeks
328.80976 1.58916 (328*2π)/5872 weeks
329-.33054 .15226 (329*2π)/5872 weeks
330-.25058 -.61892 (330*2π)/5872 weeks
331.63867 -2.10312 (331*2π)/5872 weeks
3323.08928 -1.17466 (332*2π)/5872 weeks
3332.90684 .6535 (333*2π)/5872 weeks
3341.71997 1.92148 (334*2π)/5872 weeks
335-.48642 1.60707 (335*2π)/5872 weeks
336-.93125 -.34405 (336*2π)/5872 weeks
337-.02256 -1.45595 (337*2π)/5872 weeks
3381.68805 -1.73309 (338*2π)/5872 weeks
3392.31577 -.08664 (339*2π)/5872 weeks
3401.23942 1.0855 (340*2π)/5872 weeks
341.03055 .18762 (341*2π)/5872 weeks
342-.00877 -.39073 (342*2π)/5872 weeks
343.07346 -1.56156 (343*2π)/5872 weeks
3442.1466 -1.50772 (344*2π)/5872 weeks
3451.83966 .40747 (345*2π)/5872 weeks
346.83814 .27323 (346*2π)/5872 weeks
347.10592 -.31875 (347*2π)/5872 weeks
348.98444 -1.24074 (348*2π)/5872 weeks
3491.4435 -.18832 (349*2π)/5872 weeks
350.38819 .01394 (350*2π)/5872 weeks
351-.01243 -.98513 (351*2π)/5872 weeks
352.68544 -1.91357 (352*2π)/5872 weeks
3531.63213 -1.84743 (353*2π)/5872 weeks
3542.92948 -1.63381 (354*2π)/5872 weeks
3553.54652 .84259 (355*2π)/5872 weeks
356.99391 1.95788 (356*2π)/5872 weeks
357-.7966 .81642 (357*2π)/5872 weeks
358-1.32073 -1.26347 (358*2π)/5872 weeks
3591.12307 -3.31371 (359*2π)/5872 weeks
3603.04887 -1.45343 (360*2π)/5872 weeks
3612.61059 .37929 (361*2π)/5872 weeks
3621.59401 1.13545 (362*2π)/5872 weeks
363-.64943 .48154 (363*2π)/5872 weeks
364-.28152 -1.87164 (364*2π)/5872 weeks
3651.45841 -2.24039 (365*2π)/5872 weeks
3662.82985 -1.51616 (366*2π)/5872 weeks
3672.85959 .65435 (367*2π)/5872 weeks
3681.1681 1.10589 (368*2π)/5872 weeks
369.76307 .2654 (369*2π)/5872 weeks
370-.3831 .63154 (370*2π)/5872 weeks
371-.50408 -1.75147 (371*2π)/5872 weeks
3721.0518 -1.56916 (372*2π)/5872 weeks
373.94701 -1.80052 (373*2π)/5872 weeks
3742.44658 -1.2771 (374*2π)/5872 weeks
3751.66399 -.09794 (375*2π)/5872 weeks
3761.35497 -.26252 (376*2π)/5872 weeks
377.35687 .22556 (377*2π)/5872 weeks
378-.27477 -2.40105 (378*2π)/5872 weeks
3792.75377 -2.34837 (379*2π)/5872 weeks
3802.99763 -.92825 (380*2π)/5872 weeks
3813.50874 .44264 (381*2π)/5872 weeks
3821.60748 2.35458 (382*2π)/5872 weeks
383-.72736 1.21251 (383*2π)/5872 weeks
384-1.19638 -.94517 (384*2π)/5872 weeks
385.49222 -3.14655 (385*2π)/5872 weeks
3863.03036 -1.72869 (386*2π)/5872 weeks
3872.45737 .29363 (387*2π)/5872 weeks
3881.15579 .68534 (388*2π)/5872 weeks
389-.33528 -.09728 (389*2π)/5872 weeks
390.30851 -1.7588 (390*2π)/5872 weeks
3911.21246 -1.78218 (391*2π)/5872 weeks
3922.44946 -1.86479 (392*2π)/5871 weeks
3932.85488 -.06596 (393*2π)/5871 weeks
3941.54392 .55349 (394*2π)/5871 weeks
395.86942 .59645 (395*2π)/5871 weeks
396-.11541 -.31488 (396*2π)/5871 weeks
397.3417 -1.19492 (397*2π)/5871 weeks
398.70047 -1.8168 (398*2π)/5871 weeks
3991.62509 -1.808 (399*2π)/5871 weeks
4002.48907 -.94145 (400*2π)/5871 weeks
4011.97741 -.12797 (401*2π)/5871 weeks
4021.58717 .21434 (402*2π)/5871 weeks
403.0127 .26106 (403*2π)/5871 weeks
404-.00061 -1.44716 (404*2π)/5871 weeks
4051.38959 -1.73615 (405*2π)/5871 weeks
4062.1077 -.89922 (406*2π)/5871 weeks
4071.79807 .04785 (407*2π)/5871 weeks
408.30212 .51534 (408*2π)/5871 weeks
409.03823 -.76687 (409*2π)/5871 weeks
410-.43557 -.78643 (410*2π)/5871 weeks
411-.204 -2.90271 (411*2π)/5871 weeks
4121.90971 -2.34547 (412*2π)/5871 weeks
4132.09741 -1.93185 (413*2π)/5871 weeks
4142.40457 -1.11077 (414*2π)/5871 weeks
4152.26566 .08333 (415*2π)/5871 weeks
416.54958 .62494 (416*2π)/5871 weeks
417-.75672 -1.38644 (417*2π)/5871 weeks
4181.33279 -2.38505 (418*2π)/5871 weeks
4191.83617 -1.61357 (419*2π)/5871 weeks
4202.28747 -1.1085 (420*2π)/5871 weeks
4211.87758 .03586 (421*2π)/5871 weeks
422.74606 .04321 (422*2π)/5871 weeks
423-.0381 -.86789 (423*2π)/5871 weeks
424-.04265 -2.77359 (424*2π)/5871 weeks
4253.1282 -2.74275 (425*2π)/5871 weeks
4262.93977 .33422 (426*2π)/5871 weeks
427.97723 .49734 (427*2π)/5871 weeks
428.11016 -.60496 (428*2π)/5871 weeks
429.72902 -1.83329 (429*2π)/5871 weeks
4301.77877 -1.23312 (430*2π)/5871 weeks
4311.84656 -.26604 (431*2π)/5871 weeks
432.40556 .13812 (432*2π)/5871 weeks
433-1.07852 -1.46663 (433*2π)/5871 weeks
4341.0096 -3.69252 (434*2π)/5871 weeks
4353.85731 -1.51747 (435*2π)/5871 weeks
4361.71955 .83322 (436*2π)/5871 weeks
437.39447 -.65702 (437*2π)/5871 weeks
438.02027 -1.39204 (438*2π)/5871 weeks
4391.14642 -2.58712 (439*2π)/5871 weeks
4402.14591 -1.35963 (440*2π)/5871 weeks
4411.66864 -.78611 (441*2π)/5871 weeks
4421.29597 -.469 (442*2π)/5871 weeks
443-.16993 -.61838 (443*2π)/5871 weeks
444.42115 -2.34767 (444*2π)/5871 weeks
4451.57475 -2.54013 (445*2π)/5871 weeks
4462.09571 -2.25781 (446*2π)/5871 weeks
4472.62016 -1.75165 (447*2π)/5871 weeks
4483.1524 -.0737 (448*2π)/5871 weeks
449.69264 .72198 (449*2π)/5871 weeks
450-.3221 -1.33115 (450*2π)/5871 weeks
4511.53399 -2.26177 (451*2π)/5871 weeks
4522.23979 -.99772 (452*2π)/5871 weeks
453.85838 -.28414 (453*2π)/5871 weeks
454.09898 -1.26706 (454*2π)/5871 weeks
4551.32814 -2.29969 (455*2π)/5871 weeks
4561.5793 -1.55495 (456*2π)/5871 weeks
4572.08708 -.98398 (457*2π)/5871 weeks
458.47616 -.13904 (458*2π)/5871 weeks
459-.51417 -1.39128 (459*2π)/5871 weeks
460.96006 -3.56529 (460*2π)/5871 weeks
4612.79164 -2.37679 (461*2π)/5871 weeks
4622.80609 -1.11005 (462*2π)/5871 weeks
4631.64422 .62311 (463*2π)/5871 weeks
464-.63203 -.23751 (464*2π)/5871 weeks
465-.9096 -2.40052 (465*2π)/5871 weeks
466.99468 -4.14319 (466*2π)/5871 weeks
4673.81391 -3.14008 (467*2π)/5871 weeks
4683.73555 .41574 (468*2π)/5871 weeks
469.29544 1.57968 (469*2π)/5871 weeks
470-1.55659 -.92073 (470*2π)/5871 weeks
471-1.34569 -3.90665 (471*2π)/5871 weeks
4721.89593 -5.0311 (472*2π)/5871 weeks
4733.93211 -3.05616 (473*2π)/5871 weeks
4744.4827 -1.3786 (474*2π)/5871 weeks
4753.3018 1.12794 (475*2π)/5871 weeks
476.55609 1.4809 (476*2π)/5871 weeks
477-1.00673 -.4883 (477*2π)/5871 weeks
478-1.11774 -2.15254 (478*2π)/5871 weeks
4791.01229 -3.72508 (479*2π)/5871 weeks
4802.71724 -2.58621 (480*2π)/5871 weeks
4811.99177 -.32008 (481*2π)/5871 weeks
482.50626 -.63256 (482*2π)/5871 weeks
483-.16715 -1.55902 (483*2π)/5871 weeks
484.32201 -2.52925 (484*2π)/5871 weeks
4851.14407 -2.79687 (485*2π)/5871 weeks
4861.6562 -1.54258 (486*2π)/5871 weeks
487-.00135 -2.45045 (487*2π)/5871 weeks
4881.46515 -3.34658 (488*2π)/5871 weeks
4893.23763 -2.12303 (489*2π)/5871 weeks
4902.18939 .71838 (490*2π)/5871 weeks
491-1.76749 -.10165 (491*2π)/5871 weeks
492-2.19738 -3.84951 (492*2π)/5871 weeks
493-.3236 -6.54068 (493*2π)/5871 weeks
4943.86389 -6.02416 (494*2π)/5871 weeks
4956.02933 -2.58459 (495*2π)/5871 weeks
4963.37879 1.76163 (496*2π)/5871 weeks
497-.82845 -.24119 (497*2π)/5871 weeks
498-1.10161 -2.95205 (498*2π)/5871 weeks
4991.02413 -5.63465 (499*2π)/5871 weeks
5004.70913 -4.29637 (500*2π)/5871 weeks
5015.26975 -.37396 (501*2π)/5871 weeks
5022.6437 2.57385 (502*2π)/5871 weeks
503-3.13604 2.16821 (503*2π)/5871 weeks
504-4.26372 -5.65486 (504*2π)/5871 weeks
5052.44641 -6.52842 (505*2π)/5871 weeks
5063.5783 -4.09316 (506*2π)/5871 weeks
5075.16831 -1.96547 (507*2π)/5871 weeks
5082.93664 1.56885 (508*2π)/5871 weeks
509-1.18483 .49231 (509*2π)/5871 weeks
510-2.58889 -1.82591 (510*2π)/5871 weeks
511-1.33965 -5.60911 (511*2π)/5871 weeks
5123.36276 -5.10857 (512*2π)/5871 weeks
5133.13738 -1.35013 (513*2π)/5871 weeks
514.56313 -2.43757 (514*2π)/5871 weeks
5151.49877 -2.00607 (515*2π)/5871 weeks
516.03906 -3.89838 (516*2π)/5871 weeks
5173.10122 -2.83023 (517*2π)/5871 weeks
5181.38219 -1.30557 (518*2π)/5871 weeks
519.07388 -2.4351 (519*2π)/5871 weeks
520.64397 -2.7171 (520*2π)/5871 weeks
521.75634 -4.33516 (521*2π)/5871 weeks
5223.38248 -2.8021 (522*2π)/5871 weeks
523.13776 -.65407 (523*2π)/5871 weeks
524-.49215 -4.12072 (524*2π)/5871 weeks
5251.19564 -4.02478 (525*2π)/5871 weeks
5261.37006 -4.09116 (526*2π)/5871 weeks
5273.7048 -4.16054 (527*2π)/5871 weeks
5283.02872 -.93238 (528*2π)/5871 weeks
529-.4273 -.90692 (529*2π)/5871 weeks
530-.32275 -3.07766 (530*2π)/5871 weeks
531-.43982 -3.71273 (531*2π)/5871 weeks
5322.04308 -4.87633 (532*2π)/5871 weeks
5332.43642 -1.67313 (533*2π)/5871 weeks
534-.06409 -.90393 (534*2π)/5871 weeks
535-2.13694 -2.56991 (535*2π)/5871 weeks
536-1.92215 -3.90659 (536*2π)/5871 weeks
537-2.04003 -6.85141 (537*2π)/5871 weeks
5381.44608 -7.09567 (538*2π)/5871 weeks
5392.16104 -4.81833 (539*2π)/5871 weeks
5402.10041 -3.83034 (540*2π)/5871 weeks
541-1.23259 -2.74125 (541*2π)/5871 weeks
542-.45172 -7.5486 (542*2π)/5871 weeks
5432.19677 -4.37037 (543*2π)/5871 weeks
544-1.41452 -6.33473 (544*2π)/5871 weeks
5452.35839 -6.34694 (545*2π)/5871 weeks
5461.92866 -5.10518 (546*2π)/5871 weeks
547-.30783 -4.03539 (547*2π)/5871 weeks
548.55933 -7.56632 (548*2π)/5871 weeks
5493.79517 -5.83714 (549*2π)/5871 weeks
5502.35996 .4285 (550*2π)/5871 weeks
551-6.27322 -.50507 (551*2π)/5871 weeks
552-7.95015 -9.11342 (552*2π)/5871 weeks
553-3.36001 -15.45479 (553*2π)/5871 weeks
5544.90533 -15.97421 (554*2π)/5871 weeks
5558.73377 -7.141 (555*2π)/5871 weeks
5564.29366 -2.34926 (556*2π)/5871 weeks
557-.13639 -2.65963 (557*2π)/5871 weeks
558-6.72773 -4.77342 (558*2π)/5871 weeks
559-7.25557 -15.47382 (559*2π)/5871 weeks
5602.35998 -18.11984 (560*2π)/5871 weeks
5617.72185 -13.92984 (561*2π)/5871 weeks
5629.47219 -7.18717 (562*2π)/5871 weeks
563.72477 -3.74488 (563*2π)/5871 weeks
564-3.42723 -8.50651 (564*2π)/5871 weeks
565-3.68126 -15.32272 (565*2π)/5871 weeks
5662.42348 -21.47295 (566*2π)/5871 weeks
56713.15789 -19.31761 (567*2π)/5871 weeks
56813.78745 -4.09216 (568*2π)/5871 weeks
569.00744 -6.28963 (569*2π)/5871 weeks
5707.35761 -8.85768 (570*2π)/5871 weeks
571-2.22597 -3.9006 (571*2π)/5871 weeks
572-5.2747 -13.14624 (572*2π)/5871 weeks
573-4.69787 -18.56163 (573*2π)/5871 weeks
574-1.40074 -23.92983 (574*2π)/5871 weeks
5755.58404 -21.93258 (575*2π)/5871 weeks
5761.86698 -22.77638 (576*2π)/5871 weeks
57714.53193 -23.26521 (577*2π)/5871 weeks
5782.11999 -6.79898 (578*2π)/5871 weeks
579-17.31098 -32.3721 (579*2π)/5871 weeks
5805.36575 -52.54625 (580*2π)/5871 weeks
58130.54564 -36.87541 (581*2π)/5871 weeks
58217.53436 -14.69222 (582*2π)/5871 weeks
583-22.01604 -16.9241 (583*2π)/5871 weeks
584-55.98409 -74.9519 (584*2π)/5871 weeks
585-41.19262 -158.3136 (585*2π)/5871 weeks



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