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Fourier Analysis of RXD (ProShares UltraShort Health Care ETF)


RXD (ProShares UltraShort Health Care ETF) appears to have interesting cyclic behaviour every 56 weeks (29.2568*sine), 47 weeks (26.1863*sine), and 51 weeks (21.2089*sine).

RXD (ProShares UltraShort Health Care ETF) has an average price of 366.39 (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 10/9/2017 for RXD (ProShares UltraShort Health Care ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0366.3862   0 
190.95059 386.9638 (1*2π)/559559 weeks
2-42.98128 155.0732 (2*2π)/559280 weeks
3-56.34841 64.26493 (3*2π)/559186 weeks
4-13.57074 11.9583 (4*2π)/559140 weeks
523.50484 19.07481 (5*2π)/559112 weeks
627.57507 47.9935 (6*2π)/55993 weeks
7-4.57926 50.91521 (7*2π)/55980 weeks
8-16.59395 17.61913 (8*2π)/55970 weeks
912.96892 12.59223 (9*2π)/55962 weeks
106.69427 29.25677 (10*2π)/55956 weeks
114.75116 21.20885 (11*2π)/55951 weeks
122.60669 26.18625 (12*2π)/55947 weeks
13-3.75555 21.01874 (13*2π)/55943 weeks
14-5.33192 14.84846 (14*2π)/55940 weeks
15-5.0814 6.2732 (15*2π)/55937 weeks
167.26803 6.65418 (16*2π)/55935 weeks
17-.18382 8.87736 (17*2π)/55933 weeks
1813.01048 3.13186 (18*2π)/55931 weeks
1914.34363 19.76487 (19*2π)/55929 weeks
202.46334 22.5071 (20*2π)/55928 weeks
21-4.06079 15.70495 (21*2π)/55927 weeks
22-3.32228 8.37916 (22*2π)/55925 weeks
232.06585 3.36574 (23*2π)/55924 weeks
2410.13347 9.68761 (24*2π)/55923 weeks
257.30037 16.05857 (25*2π)/55922 weeks
26-.07769 19.50762 (26*2π)/55922 weeks
27-9.23859 11.77502 (27*2π)/55921 weeks
28-4.01687 2.68101 (28*2π)/55920 weeks
291.14268 2.5639 (29*2π)/55919 weeks
307.14018 4.57547 (30*2π)/55919 weeks
319.06033 13.31745 (31*2π)/55918 weeks
32-.3437 17.05142 (32*2π)/55917 weeks
33-7.57721 12.04367 (33*2π)/55917 weeks
34-8.56933 3.25182 (34*2π)/55916 weeks
35.3095 -1.17928 (35*2π)/55916 weeks
364.55904 5.3321 (36*2π)/55916 weeks
371.30886 8.03733 (37*2π)/55915 weeks
38-.60148 4.56126 (38*2π)/55915 weeks
392.09357 5.29309 (39*2π)/55914 weeks
402.50929 6.66756 (40*2π)/55914 weeks
41-1.55546 6.29543 (41*2π)/55914 weeks
422.56051 5.1008 (42*2π)/55913 weeks
43-1.33917 7.51029 (43*2π)/55913 weeks
44-.24077 2.46005 (44*2π)/55913 weeks
452.1285 4.56813 (45*2π)/55912 weeks
462.52258 5.69617 (46*2π)/55912 weeks
47.42188 7.91427 (47*2π)/55912 weeks
48-2.82903 5.51812 (48*2π)/55912 weeks
49-2.02465 3.91217 (49*2π)/55911 weeks
50-1.38964 1.45237 (50*2π)/55911 weeks
511.37352 1.07953 (51*2π)/55911 weeks
523.0796 3.89876 (52*2π)/55911 weeks
53-.15281 4.86235 (53*2π)/55911 weeks
54-.10762 3.36854 (54*2π)/55910 weeks
55-.76883 1.78283 (55*2π)/55910 weeks
562.68243 .52639 (56*2π)/55910 weeks
574.1829 3.77623 (57*2π)/55910 weeks
581.44201 4.40745 (58*2π)/55910 weeks
591.25442 4.22642 (59*2π)/5599 weeks
60-.53907 4.33597 (60*2π)/5599 weeks
61.39496 .60638 (61*2π)/5599 weeks
623.45347 3.43459 (62*2π)/5599 weeks
63.44562 4.29029 (63*2π)/5599 weeks
64.82313 3.00153 (64*2π)/5599 weeks
65.2133 2.04174 (65*2π)/5599 weeks
662.08358 1.46325 (66*2π)/5598 weeks
672.73861 4.31883 (67*2π)/5598 weeks
68-.03176 2.42465 (68*2π)/5598 weeks
691.55335 2.95691 (69*2π)/5598 weeks
701.26566 1.12034 (70*2π)/5598 weeks
714.07638 3.57384 (71*2π)/5598 weeks
72.58415 6.86153 (72*2π)/5598 weeks
73-2.7382 3.42572 (73*2π)/5598 weeks
74-1.47958 .25392 (74*2π)/5598 weeks
751.98255 -2.05736 (75*2π)/5597 weeks
765.42701 1.13069 (76*2π)/5597 weeks
773.92915 4.15205 (77*2π)/5597 weeks
782.91717 6.47225 (78*2π)/5597 weeks
79-4.18684 6.23577 (79*2π)/5597 weeks
80-3.219 -2.33265 (80*2π)/5597 weeks
813.04653 -2.58662 (81*2π)/5597 weeks
825.71544 .78209 (82*2π)/5597 weeks
834.50612 4.94588 (83*2π)/5597 weeks
84.2415 5.49019 (84*2π)/5597 weeks
85-1.18017 2.35518 (85*2π)/5597 weeks
86-.1952 -.9263 (86*2π)/5597 weeks
875.37848 -.61571 (87*2π)/5596 weeks
885.75942 4.52117 (88*2π)/5596 weeks
892.3471 7.15052 (89*2π)/5596 weeks
90-1.6474 5.16718 (90*2π)/5596 weeks
91-2.79179 1.7618 (91*2π)/5596 weeks
92.42014 -1.24673 (92*2π)/5596 weeks
933.34414 1.27097 (93*2π)/5596 weeks
942.0281 3.55917 (94*2π)/5596 weeks
95.26131 3.13773 (95*2π)/5596 weeks
961.3326 1.35575 (96*2π)/5596 weeks
971.3402 2.91341 (97*2π)/5596 weeks
98.37193 2.71013 (98*2π)/5596 weeks
99-.21251 1.70689 (99*2π)/5596 weeks
100.51199 .66812 (100*2π)/5596 weeks
1012.20296 .39517 (101*2π)/5596 weeks
1022.64745 2.93325 (102*2π)/5595 weeks
103.56756 3.97417 (103*2π)/5595 weeks
104-1.16167 1.78273 (104*2π)/5595 weeks
105-.98092 -.10615 (105*2π)/5595 weeks
1061.44252 -1.72928 (106*2π)/5595 weeks
1074.21481 -.3961 (107*2π)/5595 weeks
1084.31004 2.32691 (108*2π)/5595 weeks
1093.56992 4.42533 (109*2π)/5595 weeks
110.15902 5.23922 (110*2π)/5595 weeks
111-1.9232 2.13446 (111*2π)/5595 weeks
112-.99505 -.70012 (112*2π)/5595 weeks
1132.93596 -1.27639 (113*2π)/5595 weeks
1144.5204 2.29121 (114*2π)/5595 weeks
1151.7449 4.41339 (115*2π)/5595 weeks
116-.80795 3.01009 (116*2π)/5595 weeks
117-.83341 .58887 (117*2π)/5595 weeks
1181.4841 -.69207 (118*2π)/5595 weeks
1192.95505 1.1127 (119*2π)/5595 weeks
1202.91274 2.52247 (120*2π)/5595 weeks
121.8062 3.74051 (121*2π)/5595 weeks
122-.41499 1.2558 (122*2π)/5595 weeks
123.84602 -.00499 (123*2π)/5595 weeks
1242.0919 1.34868 (124*2π)/5595 weeks
1251.68861 1.65986 (125*2π)/5594 weeks
126.74688 2.45852 (126*2π)/5594 weeks
127.31889 .8504 (127*2π)/5594 weeks
1281.60224 .18855 (128*2π)/5594 weeks
1292.14521 1.75589 (129*2π)/5594 weeks
130.42283 2.4337 (130*2π)/5594 weeks
131-.09614 .04019 (131*2π)/5594 weeks
1322.49535 -.77779 (132*2π)/5594 weeks
1333.0944 1.58171 (133*2π)/5594 weeks
1342.40903 2.20004 (134*2π)/5594 weeks
1351.77835 2.49693 (135*2π)/5594 weeks
136.58806 2.573 (136*2π)/5594 weeks
137-.38032 1.01103 (137*2π)/5594 weeks
1381.28271 .46677 (138*2π)/5594 weeks
1391.715 .83527 (139*2π)/5594 weeks
1402.2359 1.45866 (140*2π)/5594 weeks
1411.03789 2.71599 (141*2π)/5594 weeks
142.00774 1.29553 (142*2π)/5594 weeks
143.29816 .54074 (143*2π)/5594 weeks
1442.47766 -.6795 (144*2π)/5594 weeks
1453.72692 2.77938 (145*2π)/5594 weeks
146.06688 3.54389 (146*2π)/5594 weeks
147-.70707 .49641 (147*2π)/5594 weeks
1481.07481 -.21711 (148*2π)/5594 weeks
1491.99071 .93209 (149*2π)/5594 weeks
1501.57828 1.8534 (150*2π)/5594 weeks
151.17918 1.27716 (151*2π)/5594 weeks
152.53136 -.15595 (152*2π)/5594 weeks
1532.2806 -.67008 (153*2π)/5594 weeks
1543.86051 1.93819 (154*2π)/5594 weeks
155.65112 3.4414 (155*2π)/5594 weeks
156-.09534 1.08039 (156*2π)/5594 weeks
157.63717 -.00818 (157*2π)/5594 weeks
1581.86881 -.10433 (158*2π)/5594 weeks
1592.43275 1.11612 (159*2π)/5594 weeks
1601.94518 1.68873 (160*2π)/5593 weeks
1611.31331 2.55719 (161*2π)/5593 weeks
162-.8046 1.06586 (162*2π)/5593 weeks
163.96174 -.74302 (163*2π)/5593 weeks
1642.58089 .19545 (164*2π)/5593 weeks
1652.51427 1.30401 (165*2π)/5593 weeks
1661.94907 2.04367 (166*2π)/5593 weeks
1671.57653 3.09487 (167*2π)/5593 weeks
168-.82805 2.0064 (168*2π)/5593 weeks
169.10746 .64116 (169*2π)/5593 weeks
170-.20162 .18243 (170*2π)/5593 weeks
1711.43952 -.59237 (171*2π)/5593 weeks
1722.11636 .44423 (172*2π)/5593 weeks
1731.75218 1.59547 (173*2π)/5593 weeks
174.3851 1.83118 (174*2π)/5593 weeks
175-.22817 .13392 (175*2π)/5593 weeks
1761.52876 -.46714 (176*2π)/5593 weeks
1771.97122 .02741 (177*2π)/5593 weeks
1782.56895 .81709 (178*2π)/5593 weeks
1791.70595 1.85815 (179*2π)/5593 weeks
180.68573 1.86156 (180*2π)/5593 weeks
181.29567 1.20845 (181*2π)/5593 weeks
182-.11955 .12865 (182*2π)/5593 weeks
1831.07627 -.61722 (183*2π)/5593 weeks
1841.84686 -.66264 (184*2π)/5593 weeks
1853.12202 .56115 (185*2π)/5593 weeks
1861.94691 2.13993 (186*2π)/5593 weeks
1871.07263 1.88883 (187*2π)/5593 weeks
188-.25021 1.33238 (188*2π)/5593 weeks
189.34127 -.64846 (189*2π)/5593 weeks
1901.84346 -.6615 (190*2π)/5593 weeks
1913.19401 .66189 (191*2π)/5593 weeks
1921.83777 3.17374 (192*2π)/5593 weeks
193-1.14652 1.82081 (193*2π)/5593 weeks
194-1.14835 -.63064 (194*2π)/5593 weeks
195.91816 -2.4026 (195*2π)/5593 weeks
1963.58348 -.91546 (196*2π)/5593 weeks
1973.19284 .90885 (197*2π)/5593 weeks
1983.00399 2.28818 (198*2π)/5593 weeks
199-.19844 2.63111 (199*2π)/5593 weeks
200.42574 -.24173 (200*2π)/5593 weeks
2011.42899 .2958 (201*2π)/5593 weeks
2021.9002 .10496 (202*2π)/5593 weeks
2032.42674 1.66073 (203*2π)/5593 weeks
204.88197 1.62471 (204*2π)/5593 weeks
205.9232 1.90848 (205*2π)/5593 weeks
206-1.03639 1.07525 (206*2π)/5593 weeks
207.42844 -.82243 (207*2π)/5593 weeks
208.60484 -.53836 (208*2π)/5593 weeks
2092.01921 -1.16696 (209*2π)/5593 weeks
2103.46844 .57635 (210*2π)/5593 weeks
2112.18111 2.13754 (211*2π)/5593 weeks
212.48277 2.33583 (212*2π)/5593 weeks
213-.92321 .36075 (213*2π)/5593 weeks
2141.06524 -1.46323 (214*2π)/5593 weeks
2152.42806 -.60515 (215*2π)/5593 weeks
2163.2687 1.13253 (216*2π)/5593 weeks
2171.66557 3.35187 (217*2π)/5593 weeks
218-1.35749 1.55606 (218*2π)/5593 weeks
219-.86689 -.81301 (219*2π)/5593 weeks
2201.0956 -2.08491 (220*2π)/5593 weeks
2213.81683 -.6762 (221*2π)/5593 weeks
2222.86052 1.83236 (222*2π)/5593 weeks
2231.61534 1.93923 (223*2π)/5593 weeks
224.46769 1.84072 (224*2π)/5592 weeks
225-.01086 .69617 (225*2π)/5592 weeks
226.78628 -.1777 (226*2π)/5592 weeks
2271.62692 .63492 (227*2π)/5592 weeks
228.39292 1.11227 (228*2π)/5592 weeks
229.44028 -.1874 (229*2π)/5592 weeks
2301.19772 -.46579 (230*2π)/5592 weeks
2312.57093 .58744 (231*2π)/5592 weeks
232.82237 2.10417 (232*2π)/5592 weeks
233-.08668 .64682 (233*2π)/5592 weeks
234.07014 .01953 (234*2π)/5592 weeks
235.82205 -1.15678 (235*2π)/5592 weeks
2362.33794 -.19733 (236*2π)/5592 weeks
2372.00384 1.6322 (237*2π)/5592 weeks
238.0537 1.5914 (238*2π)/5592 weeks
239-.96413 .40449 (239*2π)/5592 weeks
240-.47607 -1.73712 (240*2π)/5592 weeks
2411.92479 -1.95452 (241*2π)/5592 weeks
2423.10374 -.48768 (242*2π)/5592 weeks
2433.01496 1.7111 (243*2π)/5592 weeks
244.26403 1.88389 (244*2π)/5592 weeks
245-.17119 .35451 (245*2π)/5592 weeks
246-.35329 -.7635 (246*2π)/5592 weeks
2471.59716 -1.43681 (247*2π)/5592 weeks
2482.22359 -.41281 (248*2π)/5592 weeks
2492.42685 .40081 (249*2π)/5592 weeks
2501.25271 1.78135 (250*2π)/5592 weeks
251-.72765 .56183 (251*2π)/5592 weeks
252.20747 -.99159 (252*2π)/5592 weeks
2531.22162 -1.77821 (253*2π)/5592 weeks
2543.08205 -.92217 (254*2π)/5592 weeks
2552.8811 1.15614 (255*2π)/5592 weeks
2561.51515 1.83555 (256*2π)/5592 weeks
257-.14595 1.38191 (257*2π)/5592 weeks
258-.63397 .04267 (258*2π)/5592 weeks
259.27055 -1.44558 (259*2π)/5592 weeks
2601.36291 -1.9896 (260*2π)/5592 weeks
2613.61485 -.59961 (261*2π)/5592 weeks
2622.21294 1.77023 (262*2π)/5592 weeks
263.73206 1.25898 (263*2π)/5592 weeks
264-.29414 .75654 (264*2π)/5592 weeks
265-.359 -1.99321 (265*2π)/5592 weeks
2662.47891 -2.06075 (266*2π)/5592 weeks
2673.63804 .53716 (267*2π)/5592 weeks
2681.41708 1.70814 (268*2π)/5592 weeks
269.30333 1.1655 (269*2π)/5592 weeks
270-.71392 -.34192 (270*2π)/5592 weeks
271.32986 -1.93221 (271*2π)/5592 weeks
2722.47677 -2.30589 (272*2π)/5592 weeks
2733.8694 .21635 (273*2π)/5592 weeks
2741.75159 2.02938 (274*2π)/5592 weeks
275.19731 .84892 (275*2π)/5592 weeks
276-.13411 -.45055 (276*2π)/5592 weeks
2771.09359 -1.32863 (277*2π)/5592 weeks
2781.55913 -1.74931 (278*2π)/5592 weeks
2793.63884 -1.38267 (279*2π)/5592 weeks
2803.63884 1.38267 (280*2π)/5592 weeks
2811.55913 1.74931 (281*2π)/5592 weeks
2821.09359 1.32863 (282*2π)/5592 weeks
283-.13411 .45055 (283*2π)/5592 weeks
284.19731 -.84892 (284*2π)/5592 weeks
2851.75159 -2.02938 (285*2π)/5592 weeks
2863.8694 -.21635 (286*2π)/5592 weeks
2872.47677 2.30589 (287*2π)/5592 weeks
288.32986 1.93221 (288*2π)/5592 weeks
289-.71392 .34192 (289*2π)/5592 weeks
290.30333 -1.1655 (290*2π)/5592 weeks
2911.41708 -1.70814 (291*2π)/5592 weeks
2923.63804 -.53716 (292*2π)/5592 weeks
2932.47891 2.06075 (293*2π)/5592 weeks
294-.359 1.99321 (294*2π)/5592 weeks
295-.29414 -.75654 (295*2π)/5592 weeks
296.73206 -1.25898 (296*2π)/5592 weeks
2972.21294 -1.77023 (297*2π)/5592 weeks
2983.61485 .59961 (298*2π)/5592 weeks
2991.36291 1.9896 (299*2π)/5592 weeks
300.27055 1.44558 (300*2π)/5592 weeks
301-.63397 -.04267 (301*2π)/5592 weeks
302-.14595 -1.38191 (302*2π)/5592 weeks
3031.51515 -1.83555 (303*2π)/5592 weeks
3042.8811 -1.15614 (304*2π)/5592 weeks
3053.08205 .92217 (305*2π)/5592 weeks
3061.22162 1.77821 (306*2π)/5592 weeks
307.20747 .99159 (307*2π)/5592 weeks
308-.72765 -.56183 (308*2π)/5592 weeks
3091.25271 -1.78135 (309*2π)/5592 weeks
3102.42685 -.40081 (310*2π)/5592 weeks
3112.22359 .41281 (311*2π)/5592 weeks
3121.59716 1.43681 (312*2π)/5592 weeks
313-.35329 .7635 (313*2π)/5592 weeks
314-.17119 -.35451 (314*2π)/5592 weeks
315.26403 -1.88389 (315*2π)/5592 weeks
3163.01496 -1.7111 (316*2π)/5592 weeks
3173.10374 .48768 (317*2π)/5592 weeks
3181.92479 1.95452 (318*2π)/5592 weeks
319-.47607 1.73712 (319*2π)/5592 weeks
320-.96413 -.40449 (320*2π)/5592 weeks
321.0537 -1.5914 (321*2π)/5592 weeks
3222.00384 -1.6322 (322*2π)/5592 weeks
3232.33794 .19733 (323*2π)/5592 weeks
324.82205 1.15678 (324*2π)/5592 weeks
325.07014 -.01953 (325*2π)/5592 weeks
326-.08668 -.64682 (326*2π)/5592 weeks
327.82237 -2.10417 (327*2π)/5592 weeks
3282.57093 -.58744 (328*2π)/5592 weeks
3291.19772 .46579 (329*2π)/5592 weeks
330.44028 .1874 (330*2π)/5592 weeks
331.39292 -1.11227 (331*2π)/5592 weeks
3321.62692 -.63492 (332*2π)/5592 weeks
333.78628 .1777 (333*2π)/5592 weeks
334-.01086 -.69617 (334*2π)/5592 weeks
335.46769 -1.84072 (335*2π)/5592 weeks
3361.61534 -1.93923 (336*2π)/5592 weeks
3372.86052 -1.83236 (337*2π)/5592 weeks
3383.81683 .6762 (338*2π)/5592 weeks
3391.0956 2.08491 (339*2π)/5592 weeks
340-.86689 .81301 (340*2π)/5592 weeks
341-1.35749 -1.55606 (341*2π)/5592 weeks
3421.66557 -3.35187 (342*2π)/5592 weeks
3433.2687 -1.13253 (343*2π)/5592 weeks
3442.42806 .60515 (344*2π)/5592 weeks
3451.06524 1.46323 (345*2π)/5592 weeks
346-.92321 -.36075 (346*2π)/5592 weeks
347.48277 -2.33583 (347*2π)/5592 weeks
3482.18111 -2.13754 (348*2π)/5592 weeks
3493.46844 -.57635 (349*2π)/5592 weeks
3502.01921 1.16696 (350*2π)/5592 weeks
351.60484 .53836 (351*2π)/5592 weeks
352.42844 .82243 (352*2π)/5592 weeks
353-1.03639 -1.07525 (353*2π)/5592 weeks
354.9232 -1.90848 (354*2π)/5592 weeks
355.88197 -1.62471 (355*2π)/5592 weeks
3562.42674 -1.66073 (356*2π)/5592 weeks
3571.9002 -.10496 (357*2π)/5592 weeks
3581.42899 -.2958 (358*2π)/5592 weeks
359.42574 .24173 (359*2π)/5592 weeks
360-.19844 -2.63111 (360*2π)/5592 weeks
3613.00399 -2.28818 (361*2π)/5592 weeks
3623.19284 -.90885 (362*2π)/5592 weeks
3633.58348 .91546 (363*2π)/5592 weeks
364.91816 2.4026 (364*2π)/5592 weeks
365-1.14835 .63064 (365*2π)/5592 weeks
366-1.14652 -1.82081 (366*2π)/5592 weeks
3671.83777 -3.17374 (367*2π)/5592 weeks
3683.19401 -.66189 (368*2π)/5592 weeks
3691.84346 .6615 (369*2π)/5592 weeks
370.34127 .64846 (370*2π)/5592 weeks
371-.25021 -1.33238 (371*2π)/5592 weeks
3721.07263 -1.88883 (372*2π)/5592 weeks
3731.94691 -2.13993 (373*2π)/5591 weeks
3743.12202 -.56115 (374*2π)/5591 weeks
3751.84686 .66264 (375*2π)/5591 weeks
3761.07627 .61722 (376*2π)/5591 weeks
377-.11955 -.12865 (377*2π)/5591 weeks
378.29567 -1.20845 (378*2π)/5591 weeks
379.68573 -1.86156 (379*2π)/5591 weeks
3801.70595 -1.85815 (380*2π)/5591 weeks
3812.56895 -.81709 (381*2π)/5591 weeks
3821.97122 -.02741 (382*2π)/5591 weeks
3831.52876 .46714 (383*2π)/5591 weeks
384-.22817 -.13392 (384*2π)/5591 weeks
385.3851 -1.83118 (385*2π)/5591 weeks
3861.75218 -1.59547 (386*2π)/5591 weeks
3872.11636 -.44423 (387*2π)/5591 weeks
3881.43952 .59237 (388*2π)/5591 weeks
389-.20162 -.18243 (389*2π)/5591 weeks
390.10746 -.64116 (390*2π)/5591 weeks
391-.82805 -2.0064 (391*2π)/5591 weeks
3921.57653 -3.09487 (392*2π)/5591 weeks
3931.94907 -2.04367 (393*2π)/5591 weeks
3942.51427 -1.30401 (394*2π)/5591 weeks
3952.58089 -.19545 (395*2π)/5591 weeks
396.96174 .74302 (396*2π)/5591 weeks
397-.8046 -1.06586 (397*2π)/5591 weeks
3981.31331 -2.55719 (398*2π)/5591 weeks
3991.94518 -1.68873 (399*2π)/5591 weeks
4002.43275 -1.11612 (400*2π)/5591 weeks
4011.86881 .10433 (401*2π)/5591 weeks
402.63717 .00818 (402*2π)/5591 weeks
403-.09534 -1.08039 (403*2π)/5591 weeks
404.65112 -3.4414 (404*2π)/5591 weeks
4053.86051 -1.93819 (405*2π)/5591 weeks
4062.2806 .67008 (406*2π)/5591 weeks
407.53136 .15595 (407*2π)/5591 weeks
408.17918 -1.27716 (408*2π)/5591 weeks
4091.57828 -1.8534 (409*2π)/5591 weeks
4101.99071 -.93209 (410*2π)/5591 weeks
4111.07481 .21711 (411*2π)/5591 weeks
412-.70707 -.49641 (412*2π)/5591 weeks
413.06688 -3.54389 (413*2π)/5591 weeks
4143.72692 -2.77938 (414*2π)/5591 weeks
4152.47766 .6795 (415*2π)/5591 weeks
416.29816 -.54074 (416*2π)/5591 weeks
417.00774 -1.29553 (417*2π)/5591 weeks
4181.03789 -2.71599 (418*2π)/5591 weeks
4192.2359 -1.45866 (419*2π)/5591 weeks
4201.715 -.83527 (420*2π)/5591 weeks
4211.28271 -.46677 (421*2π)/5591 weeks
422-.38032 -1.01103 (422*2π)/5591 weeks
423.58806 -2.573 (423*2π)/5591 weeks
4241.77835 -2.49693 (424*2π)/5591 weeks
4252.40903 -2.20004 (425*2π)/5591 weeks
4263.0944 -1.58171 (426*2π)/5591 weeks
4272.49535 .77779 (427*2π)/5591 weeks
428-.09614 -.04019 (428*2π)/5591 weeks
429.42283 -2.4337 (429*2π)/5591 weeks
4302.14521 -1.75589 (430*2π)/5591 weeks
4311.60224 -.18855 (431*2π)/5591 weeks
432.31889 -.8504 (432*2π)/5591 weeks
433.74688 -2.45852 (433*2π)/5591 weeks
4341.68861 -1.65986 (434*2π)/5591 weeks
4352.0919 -1.34868 (435*2π)/5591 weeks
436.84602 .00499 (436*2π)/5591 weeks
437-.41499 -1.2558 (437*2π)/5591 weeks
438.8062 -3.74051 (438*2π)/5591 weeks
4392.91274 -2.52247 (439*2π)/5591 weeks
4402.95505 -1.1127 (440*2π)/5591 weeks
4411.4841 .69207 (441*2π)/5591 weeks
442-.83341 -.58887 (442*2π)/5591 weeks
443-.80795 -3.01009 (443*2π)/5591 weeks
4441.7449 -4.41339 (444*2π)/5591 weeks
4454.5204 -2.29121 (445*2π)/5591 weeks
4462.93596 1.27639 (446*2π)/5591 weeks
447-.99505 .70012 (447*2π)/5591 weeks
448-1.9232 -2.13446 (448*2π)/5591 weeks
449.15902 -5.23922 (449*2π)/5591 weeks
4503.56992 -4.42533 (450*2π)/5591 weeks
4514.31004 -2.32691 (451*2π)/5591 weeks
4524.21481 .3961 (452*2π)/5591 weeks
4531.44252 1.72928 (453*2π)/5591 weeks
454-.98092 .10615 (454*2π)/5591 weeks
455-1.16167 -1.78273 (455*2π)/5591 weeks
456.56756 -3.97417 (456*2π)/5591 weeks
4572.64745 -2.93325 (457*2π)/5591 weeks
4582.20296 -.39517 (458*2π)/5591 weeks
459.51199 -.66812 (459*2π)/5591 weeks
460-.21251 -1.70689 (460*2π)/5591 weeks
461.37193 -2.71013 (461*2π)/5591 weeks
4621.3402 -2.91341 (462*2π)/5591 weeks
4631.3326 -1.35575 (463*2π)/5591 weeks
464.26131 -3.13773 (464*2π)/5591 weeks
4652.0281 -3.55917 (465*2π)/5591 weeks
4663.34414 -1.27097 (466*2π)/5591 weeks
467.42014 1.24673 (467*2π)/5591 weeks
468-2.79179 -1.7618 (468*2π)/5591 weeks
469-1.6474 -5.16718 (469*2π)/5591 weeks
4702.3471 -7.15052 (470*2π)/5591 weeks
4715.75942 -4.52117 (471*2π)/5591 weeks
4725.37848 .61571 (472*2π)/5591 weeks
473-.1952 .9263 (473*2π)/5591 weeks
474-1.18017 -2.35518 (474*2π)/5591 weeks
475.2415 -5.49019 (475*2π)/5591 weeks
4764.50612 -4.94588 (476*2π)/5591 weeks
4775.71544 -.78209 (477*2π)/5591 weeks
4783.04653 2.58662 (478*2π)/5591 weeks
479-3.219 2.33265 (479*2π)/5591 weeks
480-4.18684 -6.23577 (480*2π)/5591 weeks
4812.91717 -6.47225 (481*2π)/5591 weeks
4823.92915 -4.15205 (482*2π)/5591 weeks
4835.42701 -1.13069 (483*2π)/5591 weeks
4841.98255 2.05736 (484*2π)/5591 weeks
485-1.47958 -.25392 (485*2π)/5591 weeks
486-2.7382 -3.42572 (486*2π)/5591 weeks
487.58415 -6.86153 (487*2π)/5591 weeks
4884.07638 -3.57384 (488*2π)/5591 weeks
4891.26566 -1.12034 (489*2π)/5591 weeks
4901.55335 -2.95691 (490*2π)/5591 weeks
491-.03176 -2.42465 (491*2π)/5591 weeks
4922.73861 -4.31883 (492*2π)/5591 weeks
4932.08358 -1.46325 (493*2π)/5591 weeks
494.2133 -2.04174 (494*2π)/5591 weeks
495.82313 -3.00153 (495*2π)/5591 weeks
496.44562 -4.29029 (496*2π)/5591 weeks
4973.45347 -3.43459 (497*2π)/5591 weeks
498.39496 -.60638 (498*2π)/5591 weeks
499-.53907 -4.33597 (499*2π)/5591 weeks
5001.25442 -4.22642 (500*2π)/5591 weeks
5011.44201 -4.40745 (501*2π)/5591 weeks
5024.1829 -3.77623 (502*2π)/5591 weeks
5032.68243 -.52639 (503*2π)/5591 weeks
504-.76883 -1.78283 (504*2π)/5591 weeks
505-.10762 -3.36854 (505*2π)/5591 weeks
506-.15281 -4.86235 (506*2π)/5591 weeks
5073.0796 -3.89876 (507*2π)/5591 weeks
5081.37352 -1.07953 (508*2π)/5591 weeks
509-1.38964 -1.45237 (509*2π)/5591 weeks
510-2.02465 -3.91217 (510*2π)/5591 weeks
511-2.82903 -5.51812 (511*2π)/5591 weeks
512.42188 -7.91427 (512*2π)/5591 weeks
5132.52258 -5.69617 (513*2π)/5591 weeks
5142.1285 -4.56813 (514*2π)/5591 weeks
515-.24077 -2.46005 (515*2π)/5591 weeks
516-1.33917 -7.51029 (516*2π)/5591 weeks
5172.56051 -5.1008 (517*2π)/5591 weeks
518-1.55546 -6.29543 (518*2π)/5591 weeks
5192.50929 -6.66756 (519*2π)/5591 weeks
5202.09357 -5.29309 (520*2π)/5591 weeks
521-.60148 -4.56126 (521*2π)/5591 weeks
5221.30886 -8.03733 (522*2π)/5591 weeks
5234.55904 -5.3321 (523*2π)/5591 weeks
524.3095 1.17928 (524*2π)/5591 weeks
525-8.56933 -3.25182 (525*2π)/5591 weeks
526-7.57721 -12.04367 (526*2π)/5591 weeks
527-.3437 -17.05142 (527*2π)/5591 weeks
5289.06033 -13.31745 (528*2π)/5591 weeks
5297.14018 -4.57547 (529*2π)/5591 weeks
5301.14268 -2.5639 (530*2π)/5591 weeks
531-4.01687 -2.68101 (531*2π)/5591 weeks
532-9.23859 -11.77502 (532*2π)/5591 weeks
533-.07769 -19.50762 (533*2π)/5591 weeks
5347.30037 -16.05857 (534*2π)/5591 weeks
53510.13347 -9.68761 (535*2π)/5591 weeks
5362.06585 -3.36574 (536*2π)/5591 weeks
537-3.32228 -8.37916 (537*2π)/5591 weeks
538-4.06079 -15.70495 (538*2π)/5591 weeks
5392.46334 -22.5071 (539*2π)/5591 weeks
54014.34363 -19.76487 (540*2π)/5591 weeks
54113.01048 -3.13186 (541*2π)/5591 weeks
542-.18382 -8.87736 (542*2π)/5591 weeks
5437.26803 -6.65418 (543*2π)/5591 weeks
544-5.0814 -6.2732 (544*2π)/5591 weeks
545-5.33192 -14.84846 (545*2π)/5591 weeks
546-3.75555 -21.01874 (546*2π)/5591 weeks
5472.60669 -26.18625 (547*2π)/5591 weeks
5484.75116 -21.20885 (548*2π)/5591 weeks
5496.69427 -29.25677 (549*2π)/5591 weeks
55012.96892 -12.59223 (550*2π)/5591 weeks
551-16.59395 -17.61913 (551*2π)/5591 weeks
552-4.57926 -50.91521 (552*2π)/5591 weeks
55327.57507 -47.9935 (553*2π)/5591 weeks
55423.50484 -19.07481 (554*2π)/5591 weeks
555-13.57074 -11.9583 (555*2π)/5591 weeks
556-56.34841 -64.26493 (556*2π)/5591 weeks
557-42.98128 -155.0732 (557*2π)/5591 weeks



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