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Fourier Analysis of RXD (ProShares UltraShort Health Car)


RXD (ProShares UltraShort Health Car) appears to have interesting cyclic behaviour every 48 weeks (25.1559*sine), 53 weeks (23.9732*sine), and 29 weeks (14.9861*cosine).

RXD (ProShares UltraShort Health Car) has an average price of 382.93 (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 3/20/2017 for RXD (ProShares UltraShort Health Car), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0382.9342   0 
168.2154 390.2097 (1*2π)/530530 weeks
2-46.84589 150.1444 (2*2π)/530265 weeks
3-53.40292 51.097 (3*2π)/530177 weeks
4-1.57153 8.83151 (4*2π)/530133 weeks
530.25604 25.72534 (5*2π)/530106 weeks
617.72258 57.17162 (6*2π)/53088 weeks
7-15.64825 43.61258 (7*2π)/53076 weeks
8-2.84172 6.54422 (8*2π)/53066 weeks
916.48539 24.2698 (9*2π)/53059 weeks
102.26649 23.97316 (10*2π)/53053 weeks
115.5971 25.1559 (11*2π)/53048 weeks
12-3.57746 23.66684 (12*2π)/53044 weeks
13-6.14983 16.76305 (13*2π)/53041 weeks
14-6.64535 9.26654 (14*2π)/53038 weeks
156.12522 4.74723 (15*2π)/53035 weeks
16.36006 11.27891 (16*2π)/53033 weeks
1712.10476 2.41331 (17*2π)/53031 weeks
1814.98614 20.19003 (18*2π)/53029 weeks
192.06169 23.06138 (19*2π)/53028 weeks
20-4.41724 15.49505 (20*2π)/53027 weeks
21-2.95821 7.94127 (21*2π)/53025 weeks
224.3588 3.21261 (22*2π)/53024 weeks
239.71314 12.30343 (23*2π)/53023 weeks
245.6386 18.3442 (24*2π)/53022 weeks
25-4.52228 19.55704 (25*2π)/53021 weeks
26-8.54081 7.01411 (26*2π)/53020 weeks
27-.62046 2.76867 (27*2π)/53020 weeks
284.58551 2.50528 (28*2π)/53019 weeks
299.84305 8.70128 (29*2π)/53018 weeks
302.95481 17.82373 (30*2π)/53018 weeks
31-6.34938 14.99435 (31*2π)/53017 weeks
32-9.52398 6.21415 (32*2π)/53017 weeks
33-1.68223 -1.44064 (33*2π)/53016 weeks
345.03254 4.50271 (34*2π)/53016 weeks
351.76326 8.14689 (35*2π)/53015 weeks
36-.68364 4.6975 (36*2π)/53015 weeks
372.23516 5.47925 (37*2π)/53014 weeks
382.52272 7.24237 (38*2π)/53014 weeks
39-1.72214 5.49901 (39*2π)/53014 weeks
402.68004 6.28528 (40*2π)/53013 weeks
41-2.45023 6.3459 (41*2π)/53013 weeks
421.32964 2.72252 (42*2π)/53013 weeks
432.04088 5.02999 (43*2π)/53012 weeks
442.151 7.1584 (44*2π)/53012 weeks
45-1.71822 7.89721 (45*2π)/53012 weeks
46-2.2125 4.18483 (46*2π)/53012 weeks
47-2.2873 2.58705 (47*2π)/53011 weeks
48.36583 .966 (48*2π)/53011 weeks
493.12493 2.71676 (49*2π)/53011 weeks
50.61607 5.55224 (50*2π)/53011 weeks
51-.18026 3.37743 (51*2π)/53010 weeks
52-.83442 2.2334 (52*2π)/53010 weeks
532.43284 .26524 (53*2π)/53010 weeks
544.36226 3.72613 (54*2π)/53010 weeks
551.36753 4.54213 (55*2π)/53010 weeks
561.19705 4.31792 (56*2π)/5309 weeks
57-.92042 4.04664 (57*2π)/5309 weeks
581.37355 .39935 (58*2π)/5309 weeks
593.02909 4.47561 (59*2π)/5309 weeks
60.03925 3.71374 (60*2π)/5309 weeks
61.46451 3.22426 (61*2π)/5309 weeks
62.85665 1.43863 (62*2π)/5309 weeks
633.24138 2.25657 (63*2π)/5308 weeks
64.46658 4.71272 (64*2π)/5308 weeks
651.57596 2.19208 (65*2π)/5308 weeks
66.45377 2.32683 (66*2π)/5308 weeks
673.97181 2.13058 (67*2π)/5308 weeks
682.43828 6.74822 (68*2π)/5308 weeks
69-2.53426 4.53289 (69*2π)/5308 weeks
70-1.80623 .55054 (70*2π)/5308 weeks
711.2932 -2.27186 (71*2π)/5307 weeks
725.52037 .75122 (72*2π)/5307 weeks
734.08798 4.20628 (73*2π)/5307 weeks
742.89672 6.91039 (74*2π)/5307 weeks
75-5.08319 5.62474 (75*2π)/5307 weeks
76-2.2761 -3.1593 (76*2π)/5307 weeks
773.97686 -2.14965 (77*2π)/5307 weeks
786.15337 1.98379 (78*2π)/5307 weeks
793.46597 5.89129 (79*2π)/5307 weeks
80-.85846 4.43599 (80*2π)/5307 weeks
81-1.19675 1.13837 (81*2π)/5307 weeks
822.44092 -2.27299 (82*2π)/5306 weeks
836.59638 2.29923 (83*2π)/5306 weeks
844.10303 6.55348 (84*2π)/5306 weeks
85-.95773 6.60794 (85*2π)/5306 weeks
86-2.89031 3.2312 (86*2π)/5306 weeks
87-.77199 -1.00026 (87*2π)/5306 weeks
883.38464 .66449 (88*2π)/5306 weeks
892.47046 3.56965 (89*2π)/5306 weeks
90.43463 3.33834 (90*2π)/5306 weeks
911.35391 1.33571 (91*2π)/5306 weeks
921.35523 3.02612 (92*2π)/5306 weeks
93.30047 2.74311 (93*2π)/5306 weeks
94-.1893 1.49814 (94*2π)/5306 weeks
95.77031 .47965 (95*2π)/5306 weeks
962.93874 .81707 (96*2π)/5306 weeks
972.20516 3.46511 (97*2π)/5305 weeks
98-.66167 3.64888 (98*2π)/5305 weeks
99-1.12541 1.1142 (99*2π)/5305 weeks
100-.11025 -1.35038 (100*2π)/5305 weeks
1013.22292 -1.50822 (101*2π)/5305 weeks
1024.89595 1.40765 (102*2π)/5305 weeks
1034.22527 3.51118 (103*2π)/5305 weeks
1041.34897 5.55113 (104*2π)/5305 weeks
105-2.0107 3.10392 (105*2π)/5305 weeks
106-1.41946 -.14245 (106*2π)/5305 weeks
1072.51665 -1.67806 (107*2π)/5305 weeks
1084.79596 1.9604 (108*2π)/5305 weeks
1091.90115 4.5521 (109*2π)/5305 weeks
110-.89937 2.99748 (110*2π)/5305 weeks
111-.77725 .31707 (111*2π)/5305 weeks
1121.95061 -.71151 (112*2π)/5305 weeks
1133.00026 1.38037 (113*2π)/5305 weeks
1142.69959 3.10056 (114*2π)/5305 weeks
115-.21153 3.42171 (115*2π)/5305 weeks
116-.05786 .79372 (116*2π)/5305 weeks
1171.97975 .19724 (117*2π)/5305 weeks
1181.84844 1.69807 (118*2π)/5304 weeks
1191.70316 2.26715 (119*2π)/5304 weeks
120.01929 1.50262 (120*2π)/5304 weeks
121.929 .20291 (121*2π)/5304 weeks
1222.47075 1.25654 (122*2π)/5304 weeks
1231.21121 2.64696 (123*2π)/5304 weeks
124-.34485 .55853 (124*2π)/5304 weeks
1252.06398 -1.05926 (125*2π)/5304 weeks
1263.36412 1.40679 (126*2π)/5304 weeks
1272.57222 2.18282 (127*2π)/5304 weeks
1281.89386 2.57406 (128*2π)/5304 weeks
129.56762 2.64817 (129*2π)/5304 weeks
130-.26888 .7158 (130*2π)/5304 weeks
1311.44095 .51958 (131*2π)/5304 weeks
1321.92764 .86181 (132*2π)/5304 weeks
1332.41836 1.92561 (133*2π)/5304 weeks
134.44062 2.46394 (134*2π)/5304 weeks
135.29166 .84078 (135*2π)/5304 weeks
136.62919 -.54566 (136*2π)/5304 weeks
1373.95164 .51868 (137*2π)/5304 weeks
1381.70683 4.12807 (138*2π)/5304 weeks
139-1.19939 1.8222 (139*2π)/5304 weeks
140.51652 -.16021 (140*2π)/5304 weeks
1412.08977 .55842 (141*2π)/5304 weeks
1421.85348 1.62481 (142*2π)/5304 weeks
143.28405 1.56494 (143*2π)/5304 weeks
144.40358 -.03795 (144*2π)/5304 weeks
1452.20017 -.74177 (145*2π)/5304 weeks
1464.02672 1.97041 (146*2π)/5304 weeks
147.47164 3.48708 (147*2π)/5304 weeks
148-.07575 .96587 (148*2π)/5304 weeks
149.86709 -.11412 (149*2π)/5304 weeks
1502.25333 .05588 (150*2π)/5304 weeks
1512.37929 1.43086 (151*2π)/5304 weeks
1521.92818 1.91308 (152*2π)/5303 weeks
153.35283 2.74458 (153*2π)/5303 weeks
154-.31569 -.19214 (154*2π)/5303 weeks
1552.07618 -.56371 (155*2π)/5303 weeks
1562.73707 .99273 (156*2π)/5303 weeks
1572.40739 1.97325 (157*2π)/5303 weeks
1582.08939 2.46528 (158*2π)/5303 weeks
159-.45142 2.87238 (159*2π)/5303 weeks
160-.1419 .61841 (160*2π)/5303 weeks
161-.16108 .51637 (161*2π)/5303 weeks
1621.22903 -.74063 (162*2π)/5303 weeks
1632.15503 .35075 (163*2π)/5303 weeks
1641.85595 1.59378 (164*2π)/5303 weeks
165.36632 1.83858 (165*2π)/5303 weeks
166-.16019 -.06554 (166*2π)/5303 weeks
1671.70568 -.32343 (167*2π)/5303 weeks
1682.16026 .11972 (168*2π)/5303 weeks
1692.65505 1.25282 (169*2π)/5303 weeks
1701.54597 1.93029 (170*2π)/5303 weeks
171.47027 1.56135 (171*2π)/5303 weeks
172.01658 1.00767 (172*2π)/5303 weeks
173.32489 -.51477 (173*2π)/5303 weeks
1741.43254 -.5546 (174*2π)/5303 weeks
1752.89523 -.29706 (175*2π)/5303 weeks
1762.81158 1.90886 (176*2π)/5303 weeks
1771.31476 1.93486 (177*2π)/5303 weeks
178.09825 1.79827 (178*2π)/5303 weeks
179-.07446 -.42771 (179*2π)/5303 weeks
1801.69319 -.7637 (180*2π)/5303 weeks
1813.28062 .42538 (181*2π)/5303 weeks
1822.09332 3.26809 (182*2π)/5303 weeks
183-1.21125 1.89175 (183*2π)/5303 weeks
184-1.14096 -.82507 (184*2π)/5303 weeks
1851.38169 -2.59105 (185*2π)/5303 weeks
1863.8574 -.47377 (186*2π)/5303 weeks
1873.28382 1.10342 (187*2π)/5303 weeks
1882.54084 3.10385 (188*2π)/5303 weeks
189-.76493 1.42229 (189*2π)/5303 weeks
1901.22785 -.1552 (190*2π)/5303 weeks
1911.50246 .23073 (191*2π)/5303 weeks
1922.66951 .64176 (192*2π)/5303 weeks
1931.42335 2.18202 (193*2π)/5303 weeks
1941.1709 1.5678 (194*2π)/5303 weeks
195-.49929 1.94007 (195*2π)/5303 weeks
196-.23292 -.84084 (196*2π)/5303 weeks
197.71794 -.35064 (197*2π)/5303 weeks
1981.81307 -1.27464 (198*2π)/5303 weeks
1993.6337 .26904 (199*2π)/5303 weeks
2002.3596 2.18494 (200*2π)/5303 weeks
201.49744 2.42291 (201*2π)/5303 weeks
202-.95738 .18255 (202*2π)/5303 weeks
2031.42356 -1.48061 (203*2π)/5303 weeks
2042.78528 -.50585 (204*2π)/5303 weeks
2053.31792 1.69022 (205*2π)/5303 weeks
206.57475 3.61438 (206*2π)/5303 weeks
207-1.40013 .62086 (207*2π)/5303 weeks
208-.23218 -1.6104 (208*2π)/5303 weeks
2092.53003 -2.18341 (209*2π)/5303 weeks
2103.89614 .94997 (210*2π)/5303 weeks
2112.01624 2.04645 (211*2π)/5303 weeks
2121.00181 2.11876 (212*2π)/5303 weeks
213.01086 1.13642 (213*2π)/5302 weeks
214.47228 -.0657 (214*2π)/5302 weeks
2151.67853 .34338 (215*2π)/5302 weeks
216.67855 1.33178 (216*2π)/5302 weeks
217.30108 -.11645 (217*2π)/5302 weeks
2181.17431 -.49849 (218*2π)/5302 weeks
2192.71325 .54074 (219*2π)/5302 weeks
220.77124 2.18718 (220*2π)/5302 weeks
221-.07839 .60395 (221*2π)/5302 weeks
222.02188 -.09862 (222*2π)/5302 weeks
2231.3147 -1.25224 (223*2π)/5302 weeks
2242.59497 .20293 (224*2π)/5302 weeks
2251.43283 2.06014 (225*2π)/5302 weeks
226-.33021 1.32675 (226*2π)/5302 weeks
227-1.12028 -.49682 (227*2π)/5302 weeks
228.74319 -2.42446 (228*2π)/5302 weeks
2292.85525 -1.38944 (229*2π)/5302 weeks
2303.48342 .572 (230*2π)/5302 weeks
2311.11905 2.50567 (231*2π)/5302 weeks
232-.28848 .75137 (232*2π)/5302 weeks
233-.40112 -.27909 (233*2π)/5302 weeks
2341.28523 -1.71922 (234*2π)/5302 weeks
2352.29302 -.56881 (235*2π)/5302 weeks
2362.51239 .31911 (236*2π)/5302 weeks
2371.3793 1.87898 (237*2π)/5302 weeks
238-.78933 .52322 (238*2π)/5302 weeks
239.27333 -1.09226 (239*2π)/5302 weeks
2401.56935 -1.92046 (240*2π)/5302 weeks
2413.41926 -.55145 (241*2π)/5302 weeks
2422.64219 1.52215 (242*2π)/5302 weeks
2431.09124 2.01501 (243*2π)/5302 weeks
244-.40357 .87212 (244*2π)/5302 weeks
245-.59421 -.79981 (245*2π)/5302 weeks
246.7685 -1.61994 (246*2π)/5302 weeks
2472.85265 -1.93256 (247*2π)/5302 weeks
2483.37803 1.17037 (248*2π)/5302 weeks
2491.04926 1.52615 (249*2π)/5302 weeks
250.12465 .99008 (250*2π)/5302 weeks
251-.97059 -1.23693 (251*2π)/5302 weeks
2522.08426 -2.37794 (252*2π)/5302 weeks
2533.90816 .04101 (253*2π)/5302 weeks
2541.65273 1.84906 (254*2π)/5302 weeks
255.35648 1.21682 (255*2π)/5302 weeks
256-.7414 -.39869 (256*2π)/5302 weeks
257.46172 -2.09091 (257*2π)/5302 weeks
2582.92307 -2.25771 (258*2π)/5302 weeks
2593.86311 .76297 (259*2π)/5302 weeks
2601.17742 1.95455 (260*2π)/5302 weeks
261.06812 .49235 (261*2π)/5302 weeks
262.11893 -1.13611 (262*2π)/5302 weeks
2631.25611 -1.29043 (263*2π)/5302 weeks
2642.44265 -2.02708 (264*2π)/5302 weeks
2654.33209   (265*2π)/5302 weeks
2662.44265 2.02708 (266*2π)/5302 weeks
2671.25611 1.29043 (267*2π)/5302 weeks
268.11893 1.13611 (268*2π)/5302 weeks
269.06812 -.49235 (269*2π)/5302 weeks
2701.17742 -1.95455 (270*2π)/5302 weeks
2713.86311 -.76297 (271*2π)/5302 weeks
2722.92307 2.25771 (272*2π)/5302 weeks
273.46172 2.09091 (273*2π)/5302 weeks
274-.7414 .39869 (274*2π)/5302 weeks
275.35648 -1.21682 (275*2π)/5302 weeks
2761.65273 -1.84906 (276*2π)/5302 weeks
2773.90816 -.04101 (277*2π)/5302 weeks
2782.08426 2.37794 (278*2π)/5302 weeks
279-.97059 1.23693 (279*2π)/5302 weeks
280.12465 -.99008 (280*2π)/5302 weeks
2811.04926 -1.52615 (281*2π)/5302 weeks
2823.37803 -1.17037 (282*2π)/5302 weeks
2832.85265 1.93256 (283*2π)/5302 weeks
284.7685 1.61994 (284*2π)/5302 weeks
285-.59421 .79981 (285*2π)/5302 weeks
286-.40357 -.87212 (286*2π)/5302 weeks
2871.09124 -2.01501 (287*2π)/5302 weeks
2882.64219 -1.52215 (288*2π)/5302 weeks
2893.41926 .55145 (289*2π)/5302 weeks
2901.56935 1.92046 (290*2π)/5302 weeks
291.27333 1.09226 (291*2π)/5302 weeks
292-.78933 -.52322 (292*2π)/5302 weeks
2931.3793 -1.87898 (293*2π)/5302 weeks
2942.51239 -.31911 (294*2π)/5302 weeks
2952.29302 .56881 (295*2π)/5302 weeks
2961.28523 1.71922 (296*2π)/5302 weeks
297-.40112 .27909 (297*2π)/5302 weeks
298-.28848 -.75137 (298*2π)/5302 weeks
2991.11905 -2.50567 (299*2π)/5302 weeks
3003.48342 -.572 (300*2π)/5302 weeks
3012.85525 1.38944 (301*2π)/5302 weeks
302.74319 2.42446 (302*2π)/5302 weeks
303-1.12028 .49682 (303*2π)/5302 weeks
304-.33021 -1.32675 (304*2π)/5302 weeks
3051.43283 -2.06014 (305*2π)/5302 weeks
3062.59497 -.20293 (306*2π)/5302 weeks
3071.3147 1.25224 (307*2π)/5302 weeks
308.02188 .09862 (308*2π)/5302 weeks
309-.07839 -.60395 (309*2π)/5302 weeks
310.77124 -2.18718 (310*2π)/5302 weeks
3112.71325 -.54074 (311*2π)/5302 weeks
3121.17431 .49849 (312*2π)/5302 weeks
313.30108 .11645 (313*2π)/5302 weeks
314.67855 -1.33178 (314*2π)/5302 weeks
3151.67853 -.34338 (315*2π)/5302 weeks
316.47228 .0657 (316*2π)/5302 weeks
317.01086 -1.13642 (317*2π)/5302 weeks
3181.00181 -2.11876 (318*2π)/5302 weeks
3192.01624 -2.04645 (319*2π)/5302 weeks
3203.89614 -.94997 (320*2π)/5302 weeks
3212.53003 2.18341 (321*2π)/5302 weeks
322-.23218 1.6104 (322*2π)/5302 weeks
323-1.40013 -.62086 (323*2π)/5302 weeks
324.57475 -3.61438 (324*2π)/5302 weeks
3253.31792 -1.69022 (325*2π)/5302 weeks
3262.78528 .50585 (326*2π)/5302 weeks
3271.42356 1.48061 (327*2π)/5302 weeks
328-.95738 -.18255 (328*2π)/5302 weeks
329.49744 -2.42291 (329*2π)/5302 weeks
3302.3596 -2.18494 (330*2π)/5302 weeks
3313.6337 -.26904 (331*2π)/5302 weeks
3321.81307 1.27464 (332*2π)/5302 weeks
333.71794 .35064 (333*2π)/5302 weeks
334-.23292 .84084 (334*2π)/5302 weeks
335-.49929 -1.94007 (335*2π)/5302 weeks
3361.1709 -1.5678 (336*2π)/5302 weeks
3371.42335 -2.18202 (337*2π)/5302 weeks
3382.66951 -.64176 (338*2π)/5302 weeks
3391.50246 -.23073 (339*2π)/5302 weeks
3401.22785 .1552 (340*2π)/5302 weeks
341-.76493 -1.42229 (341*2π)/5302 weeks
3422.54084 -3.10385 (342*2π)/5302 weeks
3433.28382 -1.10342 (343*2π)/5302 weeks
3443.8574 .47377 (344*2π)/5302 weeks
3451.38169 2.59105 (345*2π)/5302 weeks
346-1.14096 .82507 (346*2π)/5302 weeks
347-1.21125 -1.89175 (347*2π)/5302 weeks
3482.09332 -3.26809 (348*2π)/5302 weeks
3493.28062 -.42538 (349*2π)/5302 weeks
3501.69319 .7637 (350*2π)/5302 weeks
351-.07446 .42771 (351*2π)/5302 weeks
352.09825 -1.79827 (352*2π)/5302 weeks
3531.31476 -1.93486 (353*2π)/5302 weeks
3542.81158 -1.90886 (354*2π)/5301 weeks
3552.89523 .29706 (355*2π)/5301 weeks
3561.43254 .5546 (356*2π)/5301 weeks
357.32489 .51477 (357*2π)/5301 weeks
358.01658 -1.00767 (358*2π)/5301 weeks
359.47027 -1.56135 (359*2π)/5301 weeks
3601.54597 -1.93029 (360*2π)/5301 weeks
3612.65505 -1.25282 (361*2π)/5301 weeks
3622.16026 -.11972 (362*2π)/5301 weeks
3631.70568 .32343 (363*2π)/5301 weeks
364-.16019 .06554 (364*2π)/5301 weeks
365.36632 -1.83858 (365*2π)/5301 weeks
3661.85595 -1.59378 (366*2π)/5301 weeks
3672.15503 -.35075 (367*2π)/5301 weeks
3681.22903 .74063 (368*2π)/5301 weeks
369-.16108 -.51637 (369*2π)/5301 weeks
370-.1419 -.61841 (370*2π)/5301 weeks
371-.45142 -2.87238 (371*2π)/5301 weeks
3722.08939 -2.46528 (372*2π)/5301 weeks
3732.40739 -1.97325 (373*2π)/5301 weeks
3742.73707 -.99273 (374*2π)/5301 weeks
3752.07618 .56371 (375*2π)/5301 weeks
376-.31569 .19214 (376*2π)/5301 weeks
377.35283 -2.74458 (377*2π)/5301 weeks
3781.92818 -1.91308 (378*2π)/5301 weeks
3792.37929 -1.43086 (379*2π)/5301 weeks
3802.25333 -.05588 (380*2π)/5301 weeks
381.86709 .11412 (381*2π)/5301 weeks
382-.07575 -.96587 (382*2π)/5301 weeks
383.47164 -3.48708 (383*2π)/5301 weeks
3844.02672 -1.97041 (384*2π)/5301 weeks
3852.20017 .74177 (385*2π)/5301 weeks
386.40358 .03795 (386*2π)/5301 weeks
387.28405 -1.56494 (387*2π)/5301 weeks
3881.85348 -1.62481 (388*2π)/5301 weeks
3892.08977 -.55842 (389*2π)/5301 weeks
390.51652 .16021 (390*2π)/5301 weeks
391-1.19939 -1.8222 (391*2π)/5301 weeks
3921.70683 -4.12807 (392*2π)/5301 weeks
3933.95164 -.51868 (393*2π)/5301 weeks
394.62919 .54566 (394*2π)/5301 weeks
395.29166 -.84078 (395*2π)/5301 weeks
396.44062 -2.46394 (396*2π)/5301 weeks
3972.41836 -1.92561 (397*2π)/5301 weeks
3981.92764 -.86181 (398*2π)/5301 weeks
3991.44095 -.51958 (399*2π)/5301 weeks
400-.26888 -.7158 (400*2π)/5301 weeks
401.56762 -2.64817 (401*2π)/5301 weeks
4021.89386 -2.57406 (402*2π)/5301 weeks
4032.57222 -2.18282 (403*2π)/5301 weeks
4043.36412 -1.40679 (404*2π)/5301 weeks
4052.06398 1.05926 (405*2π)/5301 weeks
406-.34485 -.55853 (406*2π)/5301 weeks
4071.21121 -2.64696 (407*2π)/5301 weeks
4082.47075 -1.25654 (408*2π)/5301 weeks
409.929 -.20291 (409*2π)/5301 weeks
410.01929 -1.50262 (410*2π)/5301 weeks
4111.70316 -2.26715 (411*2π)/5301 weeks
4121.84844 -1.69807 (412*2π)/5301 weeks
4131.97975 -.19724 (413*2π)/5301 weeks
414-.05786 -.79372 (414*2π)/5301 weeks
415-.21153 -3.42171 (415*2π)/5301 weeks
4162.69959 -3.10056 (416*2π)/5301 weeks
4173.00026 -1.38037 (417*2π)/5301 weeks
4181.95061 .71151 (418*2π)/5301 weeks
419-.77725 -.31707 (419*2π)/5301 weeks
420-.89937 -2.99748 (420*2π)/5301 weeks
4211.90115 -4.5521 (421*2π)/5301 weeks
4224.79596 -1.9604 (422*2π)/5301 weeks
4232.51665 1.67806 (423*2π)/5301 weeks
424-1.41946 .14245 (424*2π)/5301 weeks
425-2.0107 -3.10392 (425*2π)/5301 weeks
4261.34897 -5.55113 (426*2π)/5301 weeks
4274.22527 -3.51118 (427*2π)/5301 weeks
4284.89595 -1.40765 (428*2π)/5301 weeks
4293.22292 1.50822 (429*2π)/5301 weeks
430-.11025 1.35038 (430*2π)/5301 weeks
431-1.12541 -1.1142 (431*2π)/5301 weeks
432-.66167 -3.64888 (432*2π)/5301 weeks
4332.20516 -3.46511 (433*2π)/5301 weeks
4342.93874 -.81707 (434*2π)/5301 weeks
435.77031 -.47965 (435*2π)/5301 weeks
436-.1893 -1.49814 (436*2π)/5301 weeks
437.30047 -2.74311 (437*2π)/5301 weeks
4381.35523 -3.02612 (438*2π)/5301 weeks
4391.35391 -1.33571 (439*2π)/5301 weeks
440.43463 -3.33834 (440*2π)/5301 weeks
4412.47046 -3.56965 (441*2π)/5301 weeks
4423.38464 -.66449 (442*2π)/5301 weeks
443-.77199 1.00026 (443*2π)/5301 weeks
444-2.89031 -3.2312 (444*2π)/5301 weeks
445-.95773 -6.60794 (445*2π)/5301 weeks
4464.10303 -6.55348 (446*2π)/5301 weeks
4476.59638 -2.29923 (447*2π)/5301 weeks
4482.44092 2.27299 (448*2π)/5301 weeks
449-1.19675 -1.13837 (449*2π)/5301 weeks
450-.85846 -4.43599 (450*2π)/5301 weeks
4513.46597 -5.89129 (451*2π)/5301 weeks
4526.15337 -1.98379 (452*2π)/5301 weeks
4533.97686 2.14965 (453*2π)/5301 weeks
454-2.2761 3.1593 (454*2π)/5301 weeks
455-5.08319 -5.62474 (455*2π)/5301 weeks
4562.89672 -6.91039 (456*2π)/5301 weeks
4574.08798 -4.20628 (457*2π)/5301 weeks
4585.52037 -.75122 (458*2π)/5301 weeks
4591.2932 2.27186 (459*2π)/5301 weeks
460-1.80623 -.55054 (460*2π)/5301 weeks
461-2.53426 -4.53289 (461*2π)/5301 weeks
4622.43828 -6.74822 (462*2π)/5301 weeks
4633.97181 -2.13058 (463*2π)/5301 weeks
464.45377 -2.32683 (464*2π)/5301 weeks
4651.57596 -2.19208 (465*2π)/5301 weeks
466.46658 -4.71272 (466*2π)/5301 weeks
4673.24138 -2.25657 (467*2π)/5301 weeks
468.85665 -1.43863 (468*2π)/5301 weeks
469.46451 -3.22426 (469*2π)/5301 weeks
470.03925 -3.71374 (470*2π)/5301 weeks
4713.02909 -4.47561 (471*2π)/5301 weeks
4721.37355 -.39935 (472*2π)/5301 weeks
473-.92042 -4.04664 (473*2π)/5301 weeks
4741.19705 -4.31792 (474*2π)/5301 weeks
4751.36753 -4.54213 (475*2π)/5301 weeks
4764.36226 -3.72613 (476*2π)/5301 weeks
4772.43284 -.26524 (477*2π)/5301 weeks
478-.83442 -2.2334 (478*2π)/5301 weeks
479-.18026 -3.37743 (479*2π)/5301 weeks
480.61607 -5.55224 (480*2π)/5301 weeks
4813.12493 -2.71676 (481*2π)/5301 weeks
482.36583 -.966 (482*2π)/5301 weeks
483-2.2873 -2.58705 (483*2π)/5301 weeks
484-2.2125 -4.18483 (484*2π)/5301 weeks
485-1.71822 -7.89721 (485*2π)/5301 weeks
4862.151 -7.1584 (486*2π)/5301 weeks
4872.04088 -5.02999 (487*2π)/5301 weeks
4881.32964 -2.72252 (488*2π)/5301 weeks
489-2.45023 -6.3459 (489*2π)/5301 weeks
4902.68004 -6.28528 (490*2π)/5301 weeks
491-1.72214 -5.49901 (491*2π)/5301 weeks
4922.52272 -7.24237 (492*2π)/5301 weeks
4932.23516 -5.47925 (493*2π)/5301 weeks
494-.68364 -4.6975 (494*2π)/5301 weeks
4951.76326 -8.14689 (495*2π)/5301 weeks
4965.03254 -4.50271 (496*2π)/5301 weeks
497-1.68223 1.44064 (497*2π)/5301 weeks
498-9.52398 -6.21415 (498*2π)/5301 weeks
499-6.34938 -14.99435 (499*2π)/5301 weeks
5002.95481 -17.82373 (500*2π)/5301 weeks
5019.84305 -8.70128 (501*2π)/5301 weeks
5024.58551 -2.50528 (502*2π)/5301 weeks
503-.62046 -2.76867 (503*2π)/5301 weeks
504-8.54081 -7.01411 (504*2π)/5301 weeks
505-4.52228 -19.55704 (505*2π)/5301 weeks
5065.6386 -18.3442 (506*2π)/5301 weeks
5079.71314 -12.30343 (507*2π)/5301 weeks
5084.3588 -3.21261 (508*2π)/5301 weeks
509-2.95821 -7.94127 (509*2π)/5301 weeks
510-4.41724 -15.49505 (510*2π)/5301 weeks
5112.06169 -23.06138 (511*2π)/5301 weeks
51214.98614 -20.19003 (512*2π)/5301 weeks
51312.10476 -2.41331 (513*2π)/5301 weeks
514.36006 -11.27891 (514*2π)/5301 weeks
5156.12522 -4.74723 (515*2π)/5301 weeks
516-6.64535 -9.26654 (516*2π)/5301 weeks
517-6.14983 -16.76305 (517*2π)/5301 weeks
518-3.57746 -23.66684 (518*2π)/5301 weeks
5195.5971 -25.1559 (519*2π)/5301 weeks
5202.26649 -23.97316 (520*2π)/5301 weeks
52116.48539 -24.2698 (521*2π)/5301 weeks
522-2.84172 -6.54422 (522*2π)/5301 weeks
523-15.64825 -43.61258 (523*2π)/5301 weeks
52417.72258 -57.17162 (524*2π)/5301 weeks
52530.25604 -25.72534 (525*2π)/5301 weeks
526-1.57153 -8.83151 (526*2π)/5301 weeks
527-53.40292 -51.097 (527*2π)/5301 weeks
528-46.84589 -150.1444 (528*2π)/5301 weeks

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