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Fourier Analysis of AAD


AAD appears to have interesting cyclic behaviour every 91 weeks (82.1188*sine), 99 weeks (81.8173*sine), and 109 weeks (66.9059*sine).

AAD has an average price of 143.05 (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 3/11/1996 to 4/17/2017 for AAD, this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0143.0529   0 
1198.8253 119.7818 (1*2π)/10901,090 weeks
2105.6362 109.2161 (2*2π)/1090545 weeks
376.80754 56.29882 (3*2π)/1090363 weeks
4114.064 24.6312 (4*2π)/1090273 weeks
5156.2549 69.03602 (5*2π)/1090218 weeks
6126.0924 134.1914 (6*2π)/1090182 weeks
761.77743 147.0594 (7*2π)/1090156 weeks
816.28078 119.0727 (8*2π)/1090136 weeks
99.13763 78.24857 (9*2π)/1090121 weeks
1030.14529 66.90588 (10*2π)/1090109 weeks
1129.45113 81.81726 (11*2π)/109099 weeks
1213.29392 82.11878 (12*2π)/109091 weeks
13.65872 74.89062 (13*2π)/109084 weeks
14-6.32495 61.24003 (14*2π)/109078 weeks
15-3.37989 52.27293 (15*2π)/109073 weeks
16-6.9036 51.13072 (16*2π)/109068 weeks
17-12.72259 38.77549 (17*2π)/109064 weeks
18-4.07644 26.46088 (18*2π)/109061 weeks
196.03978 26.91283 (19*2π)/109057 weeks
2011.49953 33.43934 (20*2π)/109055 weeks
214.61456 44.54224 (21*2π)/109052 weeks
22-12.77018 38.31987 (22*2π)/109050 weeks
23-14.23517 19.68558 (23*2π)/109047 weeks
24-1.99636 9.22456 (24*2π)/109045 weeks
2511.77404 10.41614 (25*2π)/109044 weeks
2619.28254 22.70011 (26*2π)/109042 weeks
2710.59337 34.53766 (27*2π)/109040 weeks
28-2.55089 31.13964 (28*2π)/109039 weeks
29-6.36181 19.67867 (29*2π)/109038 weeks
30.1785 8.32299 (30*2π)/109036 weeks
3115.70353 9.52612 (31*2π)/109035 weeks
3219.72103 23.19868 (32*2π)/109034 weeks
3311.52149 31.73673 (33*2π)/109033 weeks
341.65461 30.30474 (34*2π)/109032 weeks
35-1.7823 22.56153 (35*2π)/109031 weeks
362.6338 18.72485 (36*2π)/109030 weeks
374.02666 21.61768 (37*2π)/109029 weeks
38.75303 21.29826 (38*2π)/109029 weeks
391.39586 18.06316 (39*2π)/109028 weeks
403.3481 19.06956 (40*2π)/109027 weeks
412.80685 20.89972 (41*2π)/109027 weeks
42-.68174 23.0995 (42*2π)/109026 weeks
43-7.30222 19.83472 (43*2π)/109025 weeks
44-7.72905 10.41163 (44*2π)/109025 weeks
45.38255 5.57995 (45*2π)/109024 weeks
467.61826 9.29003 (46*2π)/109024 weeks
478.33532 17.47596 (47*2π)/109023 weeks
48.09582 21.48819 (48*2π)/109023 weeks
49-6.73835 14.73008 (49*2π)/109022 weeks
50-3.17114 6.45096 (50*2π)/109022 weeks
513.84462 5.79798 (51*2π)/109021 weeks
528.0316 10.12516 (52*2π)/109021 weeks
536.29282 15.61501 (53*2π)/109021 weeks
541.84986 16.14253 (54*2π)/109020 weeks
55-.35754 14.16912 (55*2π)/109020 weeks
56-1.45338 11.82512 (56*2π)/109019 weeks
57-.00447 8.78865 (57*2π)/109019 weeks
582.571 8.62781 (58*2π)/109019 weeks
594.28761 9.82395 (59*2π)/109018 weeks
604.73008 12.14889 (60*2π)/109018 weeks
612.4761 14.61361 (61*2π)/109018 weeks
62-1.29546 13.23947 (62*2π)/109018 weeks
63-1.76133 10.17812 (63*2π)/109017 weeks
64-1.08073 7.85002 (64*2π)/109017 weeks
651.78237 6.31641 (65*2π)/109017 weeks
664.38763 8.10802 (66*2π)/109017 weeks
674.65605 11.02286 (67*2π)/109016 weeks
682.01247 13.52969 (68*2π)/109016 weeks
69-2.1407 12.62694 (69*2π)/109016 weeks
70-4.08295 8.15906 (70*2π)/109016 weeks
71-1.0874 4.05913 (71*2π)/109015 weeks
723.54695 4.65967 (72*2π)/109015 weeks
734.88119 8.91944 (73*2π)/109015 weeks
741.52623 11.53554 (74*2π)/109015 weeks
75-2.35076 9.75771 (75*2π)/109015 weeks
76-2.54025 5.47948 (76*2π)/109014 weeks
77.37292 3.8019 (77*2π)/109014 weeks
782.15739 4.66779 (78*2π)/109014 weeks
792.47561 5.63415 (79*2π)/109014 weeks
801.56611 5.87265 (80*2π)/109014 weeks
811.94432 4.21259 (81*2π)/109013 weeks
823.84105 4.62359 (82*2π)/109013 weeks
833.88658 6.09688 (83*2π)/109013 weeks
842.8238 6.41141 (84*2π)/109013 weeks
851.81187 5.45103 (85*2π)/109013 weeks
862.7796 2.66911 (86*2π)/109013 weeks
877.25944 2.97797 (87*2π)/109013 weeks
888.73507 7.56816 (88*2π)/109012 weeks
895.81904 11.0142 (89*2π)/109012 weeks
901.48211 10.60556 (90*2π)/109012 weeks
91-.33685 6.43297 (91*2π)/109012 weeks
923.24964 3.22774 (92*2π)/109012 weeks
937.36127 5.86997 (93*2π)/109012 weeks
946.5639 10.41026 (94*2π)/109012 weeks
952.43811 12.28225 (95*2π)/109011 weeks
96-1.48386 9.69773 (96*2π)/109011 weeks
97-.85347 5.66411 (97*2π)/109011 weeks
981.6353 4.77859 (98*2π)/109011 weeks
993.07945 5.73544 (99*2π)/109011 weeks
1003.04507 6.92362 (100*2π)/109011 weeks
1012.46793 7.24931 (101*2π)/109011 weeks
1022.33077 7.55431 (102*2π)/109011 weeks
1031.51064 8.29842 (103*2π)/109011 weeks
104-.4097 7.94989 (104*2π)/109010 weeks
105-1.40469 5.45475 (105*2π)/109010 weeks
106.70656 3.43419 (106*2π)/109010 weeks
1073.12511 4.43377 (107*2π)/109010 weeks
1083.35504 7.13627 (108*2π)/109010 weeks
109.53011 8.98195 (109*2π)/109010 weeks
110-2.98768 6.72803 (110*2π)/109010 weeks
111-2.62892 2.83993 (111*2π)/109010 weeks
112-.2782 .91919 (112*2π)/109010 weeks
1132.90159 .8429 (113*2π)/109010 weeks
1144.50295 3.72049 (114*2π)/109010 weeks
1152.72705 5.64893 (115*2π)/10909 weeks
116.89591 5.20354 (116*2π)/10909 weeks
117-.26813 3.1095 (117*2π)/10909 weeks
1181.69227 .41976 (118*2π)/10909 weeks
1195.33638 1.00152 (119*2π)/10909 weeks
1206.72953 4.3584 (120*2π)/10909 weeks
1214.86983 7.03603 (121*2π)/10909 weeks
1221.98578 7.01025 (122*2π)/10909 weeks
123.99852 4.3987 (123*2π)/10909 weeks
1243.34654 3.03885 (124*2π)/10909 weeks
1255.06889 5.23835 (125*2π)/10909 weeks
1263.69306 7.42222 (126*2π)/10909 weeks
1271.25144 7.41951 (127*2π)/10909 weeks
128.38085 5.31872 (128*2π)/10909 weeks
1291.96805 4.47697 (129*2π)/10908 weeks
1302.71778 6.06702 (130*2π)/10908 weeks
1311.02269 7.55228 (131*2π)/10908 weeks
132-1.67321 6.48684 (132*2π)/10908 weeks
133-1.8857 3.40827 (133*2π)/10908 weeks
134.51622 2.25922 (134*2π)/10908 weeks
1351.96874 3.86959 (135*2π)/10908 weeks
136.4965 5.77054 (136*2π)/10908 weeks
137-2.11719 4.67066 (137*2π)/10908 weeks
138-2.46488 1.75309 (138*2π)/10908 weeks
139-.39922 -.20052 (139*2π)/10908 weeks
1402.07026 .37213 (140*2π)/10908 weeks
1412.5085 2.31763 (141*2π)/10908 weeks
1421.12636 3.14403 (142*2π)/10908 weeks
143.02446 1.91998 (143*2π)/10908 weeks
144.98623 .68781 (144*2π)/10908 weeks
1451.82949 1.13368 (145*2π)/10908 weeks
1461.77446 1.40416 (146*2π)/10907 weeks
1471.408 1.59212 (147*2π)/10907 weeks
148.77165 .42294 (148*2π)/10907 weeks
1492.22657 -.62246 (149*2π)/10907 weeks
1503.2774 .12165 (150*2π)/10907 weeks
1513.09423 .74176 (151*2π)/10907 weeks
1522.65955 .55278 (152*2π)/10907 weeks
1532.59133 -.45616 (153*2π)/10907 weeks
1543.96274 -1.42666 (154*2π)/10907 weeks
1555.56205 -1.01618 (155*2π)/10907 weeks
1566.64685 -.08829 (156*2π)/10907 weeks
1577.12787 1.46418 (157*2π)/10907 weeks
1586.33905 2.51712 (158*2π)/10907 weeks
1595.69485 2.38726 (159*2π)/10907 weeks
1606.01382 1.96006 (160*2π)/10907 weeks
1616.99079 2.23997 (161*2π)/10907 weeks
1627.73758 3.5769 (162*2π)/10907 weeks
1637.20891 5.52771 (163*2π)/10907 weeks
1645.29528 6.08396 (164*2π)/10907 weeks
1654.43549 5.48252 (165*2π)/10907 weeks
1664.11627 4.99553 (166*2π)/10907 weeks
1674.36727 4.74513 (167*2π)/10907 weeks
1684.44734 5.29409 (168*2π)/10906 weeks
1693.69634 5.65524 (169*2π)/10906 weeks
1703.02683 5.32364 (170*2π)/10906 weeks
1712.90535 4.8805 (171*2π)/10906 weeks
1722.83896 4.85931 (172*2π)/10906 weeks
1732.35616 4.66973 (173*2π)/10906 weeks
1742.20974 3.82903 (174*2π)/10906 weeks
1753.03877 3.2538 (175*2π)/10906 weeks
1764.05032 3.86711 (176*2π)/10906 weeks
1773.74578 5.20998 (177*2π)/10906 weeks
1782.3591 5.48775 (178*2π)/10906 weeks
1791.49521 4.36555 (179*2π)/10906 weeks
1802.2207 3.17205 (180*2π)/10906 weeks
1813.45967 3.69985 (181*2π)/10906 weeks
1823.14597 4.85901 (182*2π)/10906 weeks
1832.16169 4.78676 (183*2π)/10906 weeks
1842.02372 4.40965 (184*2π)/10906 weeks
1851.93836 4.0312 (185*2π)/10906 weeks
1862.51201 4.08957 (186*2π)/10906 weeks
1871.99155 5.1054 (187*2π)/10906 weeks
188.67968 4.39416 (188*2π)/10906 weeks
189.76732 3.27404 (189*2π)/10906 weeks
1901.62351 2.48806 (190*2π)/10906 weeks
1913.01358 3.22368 (191*2π)/10906 weeks
1922.3775 5.13591 (192*2π)/10906 weeks
193.02289 5.06628 (193*2π)/10906 weeks
194-.88076 2.76374 (194*2π)/10906 weeks
195.50508 1.08535 (195*2π)/10906 weeks
1962.407 1.31536 (196*2π)/10906 weeks
1972.81343 3.06513 (197*2π)/10906 weeks
1981.35868 3.62249 (198*2π)/10906 weeks
199.5043 2.74546 (199*2π)/10905 weeks
200.44239 1.49665 (200*2π)/10905 weeks
2011.58552 .53463 (201*2π)/10905 weeks
2022.76149 .94608 (202*2π)/10905 weeks
2032.91347 1.68183 (203*2π)/10905 weeks
2042.70183 1.60376 (204*2π)/10905 weeks
2053.13191 1.52284 (205*2π)/10905 weeks
2063.56905 1.53481 (206*2π)/10905 weeks
2074.34547 2.20975 (207*2π)/10905 weeks
2083.91732 3.37531 (208*2π)/10905 weeks
2093.14095 3.09048 (209*2π)/10905 weeks
2103.5862 2.78243 (210*2π)/10905 weeks
2114.27921 3.4034 (211*2π)/10905 weeks
2124.18512 4.8883 (212*2π)/10905 weeks
2132.57762 6.05471 (213*2π)/10905 weeks
214.34516 5.35996 (214*2π)/10905 weeks
215.03754 3.2822 (215*2π)/10905 weeks
2161.01583 2.55712 (216*2π)/10905 weeks
2171.64276 2.81029 (217*2π)/10905 weeks
2181.46733 3.52192 (218*2π)/10905 weeks
219.21207 3.34692 (219*2π)/10905 weeks
220-.03409 2.03187 (220*2π)/10905 weeks
221.33404 1.29434 (221*2π)/10905 weeks
222.70333 .32219 (222*2π)/10905 weeks
2232.2727 -.36422 (223*2π)/10905 weeks
2243.70007 .51028 (224*2π)/10905 weeks
2253.99139 1.63314 (225*2π)/10905 weeks
2263.904 2.6812 (226*2π)/10905 weeks
2272.84097 3.14861 (227*2π)/10905 weeks
2282.60947 2.59044 (228*2π)/10905 weeks
2292.66298 2.80755 (229*2π)/10905 weeks
2302.44896 2.40769 (230*2π)/10905 weeks
2313.2707 2.56937 (231*2π)/10905 weeks
2323.24028 3.64057 (232*2π)/10905 weeks
2332.29682 4.50661 (233*2π)/10905 weeks
234.63994 4.46211 (234*2π)/10905 weeks
235-.71451 2.83669 (235*2π)/10905 weeks
236-.00982 .58915 (236*2π)/10905 weeks
2372.08098 .22439 (237*2π)/10905 weeks
2383.08152 1.40571 (238*2π)/10905 weeks
2392.72963 2.74207 (239*2π)/10905 weeks
2401.09606 2.79162 (240*2π)/10905 weeks
241.78114 1.11813 (241*2π)/10905 weeks
2421.80163 .39399 (242*2π)/10905 weeks
2432.7813 .25689 (243*2π)/10904 weeks
2443.86357 .83454 (244*2π)/10904 weeks
2454.12392 2.16986 (245*2π)/10904 weeks
2463.34369 2.998 (246*2π)/10904 weeks
2472.36607 3.18701 (247*2π)/10904 weeks
2481.3833 2.45429 (248*2π)/10904 weeks
2491.57002 .93857 (249*2π)/10904 weeks
2503.09177 .48408 (250*2π)/10904 weeks
2514.28912 1.43121 (251*2π)/10904 weeks
2524.1012 3.02078 (252*2π)/10904 weeks
2532.71189 3.58532 (253*2π)/10904 weeks
2541.59488 2.66223 (254*2π)/10904 weeks
2551.93584 1.29173 (255*2π)/10904 weeks
2563.25544 .98966 (256*2π)/10904 weeks
2574.18489 1.75367 (257*2π)/10904 weeks
2584.21215 2.94091 (258*2π)/10904 weeks
2593.51688 3.61945 (259*2π)/10904 weeks
2602.73409 3.73097 (260*2π)/10904 weeks
2612.00351 3.39417 (261*2π)/10904 weeks
2621.84155 2.6605 (262*2π)/10904 weeks
2632.10155 1.96604 (263*2π)/10904 weeks
2643.0394 1.74418 (264*2π)/10904 weeks
2653.9084 2.50029 (265*2π)/10904 weeks
2663.6128 3.79703 (266*2π)/10904 weeks
2672.31901 4.13933 (267*2π)/10904 weeks
2681.74797 3.25504 (268*2π)/10904 weeks
2691.90164 2.79117 (269*2π)/10904 weeks
2702.36991 2.26637 (270*2π)/10904 weeks
2713.42537 2.78053 (271*2π)/10904 weeks
2723.26785 4.16328 (272*2π)/10904 weeks
2732.02776 4.94983 (273*2π)/10904 weeks
274.45621 4.44922 (274*2π)/10904 weeks
275-.05915 2.96386 (275*2π)/10904 weeks
276.54098 2.05104 (276*2π)/10904 weeks
2771.11329 1.67253 (277*2π)/10904 weeks
2781.72016 1.73383 (278*2π)/10904 weeks
2791.86864 2.03475 (279*2π)/10904 weeks
2801.80071 2.07246 (280*2π)/10904 weeks
2811.6807 1.99386 (281*2π)/10904 weeks
2821.68066 1.46817 (282*2π)/10904 weeks
2832.43607 .9757 (283*2π)/10904 weeks
2843.43689 1.31379 (284*2π)/10904 weeks
2853.98531 2.12932 (285*2π)/10904 weeks
2864.02431 3.25069 (286*2π)/10904 weeks
2873.24208 4.01251 (287*2π)/10904 weeks
2882.45815 3.95004 (288*2π)/10904 weeks
2892.25567 3.69406 (289*2π)/10904 weeks
2902.17755 3.6807 (290*2π)/10904 weeks
2912.11254 3.5994 (291*2π)/10904 weeks
2922.31528 3.76018 (292*2π)/10904 weeks
2932.26659 4.34396 (293*2π)/10904 weeks
2941.59092 4.97163 (294*2π)/10904 weeks
295.35638 5.05651 (295*2π)/10904 weeks
296-.72557 3.92548 (296*2π)/10904 weeks
297-.4123 2.4514 (297*2π)/10904 weeks
298.87177 2.04128 (298*2π)/10904 weeks
2991.7195 2.88616 (299*2π)/10904 weeks
3001.29414 4.3135 (300*2π)/10904 weeks
301-.61678 4.49056 (301*2π)/10904 weeks
302-1.62243 2.86114 (302*2π)/10904 weeks
303-1.05248 1.28692 (303*2π)/10904 weeks
304.33337 .79049 (304*2π)/10904 weeks
3051.35987 1.59565 (305*2π)/10904 weeks
306.94238 2.58629 (306*2π)/10904 weeks
307.21884 2.4041 (307*2π)/10904 weeks
308.1373 1.93182 (308*2π)/10904 weeks
309.24802 1.75447 (309*2π)/10904 weeks
310.37694 1.47852 (310*2π)/10904 weeks
311.67427 1.40485 (311*2π)/10904 weeks
3121.06842 1.51834 (312*2π)/10903 weeks
3131.14596 2.12242 (313*2π)/10903 weeks
314.58377 2.50919 (314*2π)/10903 weeks
315-.16611 2.34986 (315*2π)/10903 weeks
316-.65502 1.48168 (316*2π)/10903 weeks
317-.15946 .65491 (317*2π)/10903 weeks
318.44204 .48905 (318*2π)/10903 weeks
3191.00173 .69876 (319*2π)/10903 weeks
320.95864 1.17703 (320*2π)/10903 weeks
321.66772 1.2318 (321*2π)/10903 weeks
322.29549 .98947 (322*2π)/10903 weeks
323.33879 .25638 (323*2π)/10903 weeks
3241.14111 -.17665 (324*2π)/10903 weeks
3251.84144 .13853 (325*2π)/10903 weeks
3262.20149 .71397 (326*2π)/10903 weeks
3272.13007 1.36662 (327*2π)/10903 weeks
3281.46604 1.73802 (328*2π)/10903 weeks
3291.01651 1.18803 (329*2π)/10903 weeks
3301.40098 .89392 (330*2π)/10903 weeks
3311.45887 1.06785 (331*2π)/10903 weeks
3321.5135 .91665 (332*2π)/10903 weeks
3331.63034 .91225 (333*2π)/10903 weeks
3342.07209 .86306 (334*2π)/10903 weeks
3352.3889 1.64501 (335*2π)/10903 weeks
3361.61206 2.26003 (336*2π)/10903 weeks
337.77829 1.86869 (337*2π)/10903 weeks
338.69462 .84872 (338*2π)/10903 weeks
3391.79296 .30221 (339*2π)/10903 weeks
3402.88149 1.40117 (340*2π)/10903 weeks
3412.07442 2.84955 (341*2π)/10903 weeks
342.63574 2.86624 (342*2π)/10903 weeks
343-.32555 1.89228 (343*2π)/10903 weeks
344-.1557 .39109 (344*2π)/10903 weeks
3451.25679 .01126 (345*2π)/10903 weeks
3461.7401 .80596 (346*2π)/10903 weeks
3471.42466 1.24738 (347*2π)/10903 weeks
348.98412 1.01597 (348*2π)/10903 weeks
3491.25845 .47258 (349*2π)/10903 weeks
3501.85018 .5883 (350*2π)/10903 weeks
3511.88001 1.1436 (351*2π)/10903 weeks
3521.5377 .9761 (352*2π)/10903 weeks
3532.07105 .64563 (353*2π)/10903 weeks
3542.82133 1.38216 (354*2π)/10903 weeks
3552.51867 2.61186 (355*2π)/10903 weeks
3561.11121 3.32642 (356*2π)/10903 weeks
357-.3381 2.28339 (357*2π)/10903 weeks
358-.11682 .67315 (358*2π)/10903 weeks
3591.40859 .24159 (359*2π)/10903 weeks
3602.32734 1.65468 (360*2π)/10903 weeks
3611.1626 3.17155 (361*2π)/10903 weeks
362-.90018 2.82826 (362*2π)/10903 weeks
363-1.78569 .8611 (363*2π)/10903 weeks
364-.65752 -.85777 (364*2π)/10903 weeks
365.912 -.67711 (365*2π)/10903 weeks
3661.17819 .34662 (366*2π)/10903 weeks
367.32796 .64032 (367*2π)/10903 weeks
368-.22421 -.37523 (368*2π)/10903 weeks
369.70664 -1.39007 (369*2π)/10903 weeks
3701.82122 -1.03266 (370*2π)/10903 weeks
3711.946 -.2822 (371*2π)/10903 weeks
3721.44807 -.18954 (372*2π)/10903 weeks
3731.50471 -.96609 (373*2π)/10903 weeks
3742.67034 -1.24582 (374*2π)/10903 weeks
3753.66147 -.27374 (375*2π)/10903 weeks
3763.50214 1.18 (376*2π)/10903 weeks
3772.09883 1.80602 (377*2π)/10903 weeks
3781.18531 .74823 (378*2π)/10903 weeks
3791.80017 -.26885 (379*2π)/10903 weeks
3803.1125 -.1192 (380*2π)/10903 weeks
3813.59085 1.36742 (381*2π)/10903 weeks
3822.35197 2.61269 (382*2π)/10903 weeks
383.68376 2.02571 (383*2π)/10903 weeks
384.45137 .34213 (384*2π)/10903 weeks
3851.92987 -.36128 (385*2π)/10903 weeks
3862.8575 .63348 (386*2π)/10903 weeks
3872.46577 1.85061 (387*2π)/10903 weeks
3881.06094 2.083 (388*2π)/10903 weeks
389.34305 .74104 (389*2π)/10903 weeks
3901.37037 -.09479 (390*2π)/10903 weeks
3912.17659 .5504 (391*2π)/10903 weeks
3921.79031 1.53341 (392*2π)/10903 weeks
393.47843 1.42668 (393*2π)/10903 weeks
394.1825 .00767 (394*2π)/10903 weeks
3951.21281 -.58943 (395*2π)/10903 weeks
3961.89895 -.07087 (396*2π)/10903 weeks
3971.60028 .59573 (397*2π)/10903 weeks
398.57537 .4781 (398*2π)/10903 weeks
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8101.80071 -2.07246 (810*2π)/10901 weeks
8111.86864 -2.03475 (811*2π)/10901 weeks
8121.72016 -1.73383 (812*2π)/10901 weeks
8131.11329 -1.67253 (813*2π)/10901 weeks
814.54098 -2.05104 (814*2π)/10901 weeks
815-.05915 -2.96386 (815*2π)/10901 weeks
816.45621 -4.44922 (816*2π)/10901 weeks
8172.02776 -4.94983 (817*2π)/10901 weeks
8183.26785 -4.16328 (818*2π)/10901 weeks
8193.42537 -2.78053 (819*2π)/10901 weeks
8202.36991 -2.26637 (820*2π)/10901 weeks
8211.90164 -2.79117 (821*2π)/10901 weeks
8221.74797 -3.25504 (822*2π)/10901 weeks
8232.31901 -4.13933 (823*2π)/10901 weeks
8243.6128 -3.79703 (824*2π)/10901 weeks
8253.9084 -2.50029 (825*2π)/10901 weeks
8263.0394 -1.74418 (826*2π)/10901 weeks
8272.10155 -1.96604 (827*2π)/10901 weeks
8281.84155 -2.6605 (828*2π)/10901 weeks
8292.00351 -3.39417 (829*2π)/10901 weeks
8302.73409 -3.73097 (830*2π)/10901 weeks
8313.51688 -3.61945 (831*2π)/10901 weeks
8324.21215 -2.94091 (832*2π)/10901 weeks
8334.18489 -1.75367 (833*2π)/10901 weeks
8343.25544 -.98966 (834*2π)/10901 weeks
8351.93584 -1.29173 (835*2π)/10901 weeks
8361.59488 -2.66223 (836*2π)/10901 weeks
8372.71189 -3.58532 (837*2π)/10901 weeks
8384.1012 -3.02078 (838*2π)/10901 weeks
8394.28912 -1.43121 (839*2π)/10901 weeks
8403.09177 -.48408 (840*2π)/10901 weeks
8411.57002 -.93857 (841*2π)/10901 weeks
8421.3833 -2.45429 (842*2π)/10901 weeks
8432.36607 -3.18701 (843*2π)/10901 weeks
8443.34369 -2.998 (844*2π)/10901 weeks
8454.12392 -2.16986 (845*2π)/10901 weeks
8463.86357 -.83454 (846*2π)/10901 weeks
8472.7813 -.25689 (847*2π)/10901 weeks
8481.80163 -.39399 (848*2π)/10901 weeks
849.78114 -1.11813 (849*2π)/10901 weeks
8501.09606 -2.79162 (850*2π)/10901 weeks
8512.72963 -2.74207 (851*2π)/10901 weeks
8523.08152 -1.40571 (852*2π)/10901 weeks
8532.08098 -.22439 (853*2π)/10901 weeks
854-.00982 -.58915 (854*2π)/10901 weeks
855-.71451 -2.83669 (855*2π)/10901 weeks
856.63994 -4.46211 (856*2π)/10901 weeks
8572.29682 -4.50661 (857*2π)/10901 weeks
8583.24028 -3.64057 (858*2π)/10901 weeks
8593.2707 -2.56937 (859*2π)/10901 weeks
8602.44896 -2.40769 (860*2π)/10901 weeks
8612.66298 -2.80755 (861*2π)/10901 weeks
8622.60947 -2.59044 (862*2π)/10901 weeks
8632.84097 -3.14861 (863*2π)/10901 weeks
8643.904 -2.6812 (864*2π)/10901 weeks
8653.99139 -1.63314 (865*2π)/10901 weeks
8663.70007 -.51028 (866*2π)/10901 weeks
8672.2727 .36422 (867*2π)/10901 weeks
868.70333 -.32219 (868*2π)/10901 weeks
869.33404 -1.29434 (869*2π)/10901 weeks
870-.03409 -2.03187 (870*2π)/10901 weeks
871.21207 -3.34692 (871*2π)/10901 weeks
8721.46733 -3.52192 (872*2π)/10901 weeks
8731.64276 -2.81029 (873*2π)/10901 weeks
8741.01583 -2.55712 (874*2π)/10901 weeks
875.03754 -3.2822 (875*2π)/10901 weeks
876.34516 -5.35996 (876*2π)/10901 weeks
8772.57762 -6.05471 (877*2π)/10901 weeks
8784.18512 -4.8883 (878*2π)/10901 weeks
8794.27921 -3.4034 (879*2π)/10901 weeks
8803.5862 -2.78243 (880*2π)/10901 weeks
8813.14095 -3.09048 (881*2π)/10901 weeks
8823.91732 -3.37531 (882*2π)/10901 weeks
8834.34547 -2.20975 (883*2π)/10901 weeks
8843.56905 -1.53481