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Fourier Analysis of WCPIX (Mobile Telecommunications Ultra)


WCPIX (Mobile Telecommunications Ultra) appears to have interesting cyclic behaviour every 86 weeks (42.1992*sine), 58 weeks (40.4421*sine), and 66 weeks (37.1819*sine).

WCPIX (Mobile Telecommunications Ultra) has an average price of 143.5 (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 6/19/2000 to 1/9/2017 for WCPIX (Mobile Telecommunications Ultra), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0143.4996   0 
1101.5314 87.41106 (1*2π)/864864 weeks
295.48494 -.10487 (2*2π)/864432 weeks
3110.7831 71.62669 (3*2π)/864288 weeks
466.34403 66.63031 (4*2π)/864216 weeks
562.0326 74.91997 (5*2π)/864173 weeks
633.96241 58.05949 (6*2π)/864144 weeks
737.06798 54.46283 (7*2π)/864123 weeks
822.43579 47.75621 (8*2π)/864108 weeks
931.03746 35.05394 (9*2π)/86496 weeks
1027.51048 42.19918 (10*2π)/86486 weeks
1125.92137 32.5875 (11*2π)/86479 weeks
1232.09018 36.34035 (12*2π)/86472 weeks
1323.10517 37.18185 (13*2π)/86466 weeks
1425.97004 35.58905 (14*2π)/86462 weeks
1517.29302 40.44206 (15*2π)/86458 weeks
1616.36735 32.64037 (16*2π)/86454 weeks
1714.06925 36.53786 (17*2π)/86451 weeks
1813.47306 29.55605 (18*2π)/86448 weeks
1912.53689 33.21214 (19*2π)/86445 weeks
2011.94182 27.09361 (20*2π)/86443 weeks
2111.60326 30.29238 (21*2π)/86441 weeks
2210.89256 25.4742 (22*2π)/86439 weeks
2312.19057 30.6173 (23*2π)/86438 weeks
246.70806 26.18423 (24*2π)/86436 weeks
258.70385 24.41692 (25*2π)/86435 weeks
2610.33451 24.50559 (26*2π)/86433 weeks
278.91462 26.65214 (27*2π)/86432 weeks
286.91032 22.57764 (28*2π)/86431 weeks
297.97848 25.38091 (29*2π)/86430 weeks
304.13809 22.9685 (30*2π)/86429 weeks
317.27725 21.46965 (31*2π)/86428 weeks
325.71168 22.44001 (32*2π)/86427 weeks
336.93976 21.23699 (33*2π)/86426 weeks
345.82611 23.92667 (34*2π)/86425 weeks
353.88052 22.57139 (35*2π)/86425 weeks
364.16748 23.07695 (36*2π)/86424 weeks
371.52881 23.7264 (37*2π)/86423 weeks
38-.83888 21.33854 (38*2π)/86423 weeks
39-1.95941 19.45958 (39*2π)/86422 weeks
40-1.85869 17.40292 (40*2π)/86422 weeks
41-2.17439 16.50803 (41*2π)/86421 weeks
42-1.40506 13.84982 (42*2π)/86421 weeks
43-1.013 14.15531 (43*2π)/86420 weeks
44-.52351 12.35761 (44*2π)/86420 weeks
45.87111 11.95844 (45*2π)/86419 weeks
461.18787 12.02375 (46*2π)/86419 weeks
47.03697 13.11989 (47*2π)/86418 weeks
48-.46372 10.80892 (48*2π)/86418 weeks
49.44846 11.07954 (49*2π)/86418 weeks
50.51451 10.20318 (50*2π)/86417 weeks
51.18917 9.44837 (51*2π)/86417 weeks
522.31915 7.74851 (52*2π)/86417 weeks
532.42079 9.31803 (53*2π)/86416 weeks
543.87848 7.04168 (54*2π)/86416 weeks
555.7965 10.52456 (55*2π)/86416 weeks
564.01002 10.67477 (56*2π)/86415 weeks
575.3437 11.75297 (57*2π)/86415 weeks
583.67713 12.30209 (58*2π)/86415 weeks
594.10646 12.30196 (59*2π)/86415 weeks
602.78567 12.94642 (60*2π)/86414 weeks
612.95941 13.3644 (61*2π)/86414 weeks
621.1292 13.35122 (62*2π)/86414 weeks
63.93734 12.83269 (63*2π)/86414 weeks
64-.59111 12.59124 (64*2π)/86414 weeks
65-1.5565 12.10911 (65*2π)/86413 weeks
66-1.99863 10.35349 (66*2π)/86413 weeks
67-1.75835 10.16872 (67*2π)/86413 weeks
68-2.78728 8.8582 (68*2π)/86413 weeks
69-2.0645 7.49813 (69*2π)/86413 weeks
70-1.58099 6.46982 (70*2π)/86412 weeks
71-.64887 6.08182 (71*2π)/86412 weeks
72-1.15499 5.31105 (72*2π)/86412 weeks
73.49768 4.24198 (73*2π)/86412 weeks
74.89324 4.96285 (74*2π)/86412 weeks
752.38728 4.37834 (75*2π)/86412 weeks
763.14946 5.16941 (76*2π)/86411 weeks
774.0661 5.52513 (77*2π)/86411 weeks
783.93539 7.04176 (78*2π)/86411 weeks
793.63007 7.07767 (79*2π)/86411 weeks
803.69513 8.31521 (80*2π)/86411 weeks
812.33205 7.74799 (81*2π)/86411 weeks
823.36679 7.47953 (82*2π)/86411 weeks
832.16102 8.63741 (83*2π)/86410 weeks
842.03547 7.67159 (84*2π)/86410 weeks
851.89382 8.08867 (85*2π)/86410 weeks
861.59021 7.43318 (86*2π)/86410 weeks
871.8158 7.77991 (87*2π)/86410 weeks
881.00967 7.4216 (88*2π)/86410 weeks
891.61527 7.54513 (89*2π)/86410 weeks
901.26253 7.51503 (90*2π)/86410 weeks
911.72662 7.50896 (91*2π)/8649 weeks
921.34979 7.96947 (92*2π)/8649 weeks
931.45943 7.55065 (93*2π)/8649 weeks
94.7347 7.33311 (94*2π)/8649 weeks
95.98435 6.82166 (95*2π)/8649 weeks
96.70752 7.33072 (96*2π)/8649 weeks
97.32643 7.03804 (97*2π)/8649 weeks
98.76132 6.71476 (98*2π)/8649 weeks
99.39379 7.03682 (99*2π)/8649 weeks
100-.13412 6.30069 (100*2π)/8649 weeks
101-.13483 6.1885 (101*2π)/8649 weeks
102-.1227 5.84998 (102*2π)/8648 weeks
103.13084 5.2446 (103*2π)/8648 weeks
1041.16828 5.39584 (104*2π)/8648 weeks
105.91996 5.82529 (105*2π)/8648 weeks
106.91355 5.214 (106*2π)/8648 weeks
1071.32139 5.78066 (107*2π)/8648 weeks
1081.08653 5.78118 (108*2π)/8648 weeks
109.78439 5.7804 (109*2π)/8648 weeks
110.79532 5.87166 (110*2π)/8648 weeks
111.91236 6.2237 (111*2π)/8648 weeks
112.62962 5.92713 (112*2π)/8648 weeks
113.72577 6.02232 (113*2π)/8648 weeks
114.49215 5.79628 (114*2π)/8648 weeks
115.65584 6.32413 (115*2π)/8648 weeks
116-.53232 5.98679 (116*2π)/8647 weeks
117.62384 5.72015 (117*2π)/8647 weeks
118-.11556 6.56744 (118*2π)/8647 weeks
119-.51787 5.75158 (119*2π)/8647 weeks
120-.09457 6.09374 (120*2π)/8647 weeks
121-.91987 6.11737 (121*2π)/8647 weeks
122-1.07725 6.34703 (122*2π)/8647 weeks
123-1.77991 6.07448 (123*2π)/8647 weeks
124-2.07137 5.38889 (124*2π)/8647 weeks
125-2.55595 5.30811 (125*2π)/8647 weeks
126-2.97386 4.14182 (126*2π)/8647 weeks
127-2.64757 3.65773 (127*2π)/8647 weeks
128-2.8666 3.01017 (128*2π)/8647 weeks
129-2.36532 2.25975 (129*2π)/8647 weeks
130-1.85339 1.82351 (130*2π)/8647 weeks
131-1.43342 1.64731 (131*2π)/8647 weeks
132-1.09537 1.65138 (132*2π)/8647 weeks
133-1.20775 1.34374 (133*2π)/8646 weeks
134-.4365 .75777 (134*2π)/8646 weeks
135-.09642 1.16889 (135*2π)/8646 weeks
136.21557 .59509 (136*2π)/8646 weeks
137.80551 1.16663 (137*2π)/8646 weeks
138.67333 .69871 (138*2π)/8646 weeks
1391.3979 1.22144 (139*2π)/8646 weeks
1401.21696 1.07536 (140*2π)/8646 weeks
1412.11093 1.40784 (141*2π)/8646 weeks
1421.75171 1.62404 (142*2π)/8646 weeks
1432.39265 1.57128 (143*2π)/8646 weeks
1442.44091 2.53261 (144*2π)/8646 weeks
1452.52446 2.74086 (145*2π)/8646 weeks
1462.35885 3.64813 (146*2π)/8646 weeks
1471.59745 3.71434 (147*2π)/8646 weeks
1481.3624 3.76325 (148*2π)/8646 weeks
149.72247 3.53728 (149*2π)/8646 weeks
150.66354 3.28069 (150*2π)/8646 weeks
151.24436 3.22564 (151*2π)/8646 weeks
152.17543 2.49503 (152*2π)/8646 weeks
153.68859 2.53357 (153*2π)/8646 weeks
154.3744 2.17471 (154*2π)/8646 weeks
1551.22376 2.15608 (155*2π)/8646 weeks
156.87637 2.67553 (156*2π)/8646 weeks
157.62138 2.62138 (157*2π)/8646 weeks
158.45415 2.60503 (158*2π)/8645 weeks
159.09958 2.70384 (159*2π)/8645 weeks
160-.18795 1.93814 (160*2π)/8645 weeks
161.10648 1.65849 (161*2π)/8645 weeks
162.26851 1.03576 (162*2π)/8645 weeks
163.94588 1.22862 (163*2π)/8645 weeks
1641.06206 1.18701 (164*2π)/8645 weeks
1651.33645 1.58986 (165*2π)/8645 weeks
1661.08421 1.49226 (166*2π)/8645 weeks
1671.48564 2.12023 (167*2π)/8645 weeks
168.89306 1.92453 (168*2π)/8645 weeks
1691.41972 1.99132 (169*2π)/8645 weeks
170.89593 1.95036 (170*2π)/8645 weeks
1711.2137 1.59641 (171*2π)/8645 weeks
1721.15191 2.0173 (172*2π)/8645 weeks
173.79611 1.74258 (173*2π)/8645 weeks
174.9592 1.56448 (174*2π)/8645 weeks
175.91206 1.47652 (175*2π)/8645 weeks
1761.28607 1.2639 (176*2π)/8645 weeks
1771.18321 1.56146 (177*2π)/8645 weeks
1781.29725 1.27787 (178*2π)/8645 weeks
1791.39505 1.8115 (179*2π)/8645 weeks
1801.10454 1.4894 (180*2π)/8645 weeks
1811.30102 1.87593 (181*2π)/8645 weeks
1821.1657 1.44348 (182*2π)/8645 weeks
1831.53442 2.18089 (183*2π)/8645 weeks
184.68475 1.77893 (184*2π)/8645 weeks
1851.17025 1.70826 (185*2π)/8645 weeks
186.46302 1.77457 (186*2π)/8645 weeks
187.79606 1.29389 (187*2π)/8645 weeks
188.61247 1.44168 (188*2π)/8645 weeks
189.329 1.10184 (189*2π)/8645 weeks
190.16928 .69949 (190*2π)/8645 weeks
191.30047 .31694 (191*2π)/8645 weeks
192.63552 .17152 (192*2π)/8645 weeks
193.62461 -.17662 (193*2π)/8644 weeks
1941.51557 -.41634 (194*2π)/8644 weeks
1951.35689 -.02593 (195*2π)/8644 weeks
1961.74668 -.13194 (196*2π)/8644 weeks
1971.72976 .24528 (197*2π)/8644 weeks
1982.25918 .14025 (198*2π)/8644 weeks
1992.22802 1.0344 (199*2π)/8644 weeks
2001.78554 .63076 (200*2π)/8644 weeks
2012.02153 .97642 (201*2π)/8644 weeks
2021.2613 .68286 (202*2π)/8644 weeks
2031.49414 .22482 (203*2π)/8644 weeks
2041.44293 -.09875 (204*2π)/8644 weeks
2051.9798 -.25926 (205*2π)/8644 weeks
2062.16732 -.31475 (206*2π)/8644 weeks
2072.67434 -.36164 (207*2π)/8644 weeks
2083.10531 -.08922 (208*2π)/8644 weeks
2093.28511 .22086 (209*2π)/8644 weeks
2103.19324 .71339 (210*2π)/8644 weeks
2113.09621 .83704 (211*2π)/8644 weeks
2122.97848 1.28616 (212*2π)/8644 weeks
2132.61929 1.40016 (213*2π)/8644 weeks
2142.40462 1.5318 (214*2π)/8644 weeks
2152.21744 1.20233 (215*2π)/8644 weeks
2162.22025 1.26403 (216*2π)/8644 weeks
2172.11971 1.01251 (217*2π)/8644 weeks
2182.05452 1.09697 (218*2π)/8644 weeks
2191.77449 1.04814 (219*2π)/8644 weeks
2201.89772 .70417 (220*2π)/8644 weeks
2211.94397 .80512 (221*2π)/8644 weeks
2221.64207 .46675 (222*2π)/8644 weeks
2231.98645 .20421 (223*2π)/8644 weeks
2242.0557 .33765 (224*2π)/8644 weeks
2251.83103 .15518 (225*2π)/8644 weeks
2262.26481 -.27493 (226*2π)/8644 weeks
2272.31667 .00797 (227*2π)/8644 weeks
2282.23488 -.16257 (228*2π)/8644 weeks
2292.62818 -.13352 (229*2π)/8644 weeks
2302.36686 -.17569 (230*2π)/8644 weeks
2312.72029 -.72171 (231*2π)/8644 weeks
2323.28276 -.43918 (232*2π)/8644 weeks
2333.31889 -.46906 (233*2π)/8644 weeks
2343.8069 -.28625 (234*2π)/8644 weeks
2353.83138 .00016 (235*2π)/8644 weeks
2364.04627 .13137 (236*2π)/8644 weeks
2374.2169 .16083 (237*2π)/8644 weeks
2384.50517 .75783 (238*2π)/8644 weeks
2394.20499 .64679 (239*2π)/8644 weeks
2404.71103 .80084 (240*2π)/8644 weeks
2414.59331 1.28094 (241*2π)/8644 weeks
2424.73552 1.68067 (242*2π)/8644 weeks
2434.42466 2.16302 (243*2π)/8644 weeks
2444.32199 2.35754 (244*2π)/8644 weeks
2453.85863 2.77312 (245*2π)/8644 weeks
2463.5042 2.556 (246*2π)/8644 weeks
2473.41461 2.72405 (247*2π)/8643 weeks
2483.07682 2.66596 (248*2π)/8643 weeks
2492.89026 2.6668 (249*2π)/8643 weeks
2502.52095 2.41557 (250*2π)/8643 weeks
2512.71473 2.3709 (251*2π)/8643 weeks
2522.48921 2.45455 (252*2π)/8643 weeks
2532.38382 2.28006 (253*2π)/8643 weeks
2542.50816 2.29754 (254*2π)/8643 weeks
2552.26145 2.33378 (255*2π)/8643 weeks
2562.21184 2.05011 (256*2π)/8643 weeks
2572.02454 2.32344 (257*2π)/8643 weeks
2581.65795 1.84411 (258*2π)/8643 weeks
2591.99134 1.73339 (259*2π)/8643 weeks
2601.68309 1.4557 (260*2π)/8643 weeks
2612.33456 1.11586 (261*2π)/8643 weeks
2622.28458 1.64498 (262*2π)/8643 weeks
2632.26183 1.31377 (263*2π)/8643 weeks
2642.64612 1.60772 (264*2π)/8643 weeks
2652.22256 1.84396 (265*2π)/8643 weeks
2662.14726 1.39653 (266*2π)/8643 weeks
2672.41115 1.6663 (267*2π)/8643 weeks
2682.01765 1.82543 (268*2π)/8643 weeks
2692.01358 1.39899 (269*2π)/8643 weeks
2702.09857 1.47334 (270*2π)/8643 weeks
2711.98871 1.33896 (271*2π)/8643 weeks
2721.90666 1.05777 (272*2π)/8643 weeks
2732.44451 1.15152 (273*2π)/8643 weeks
2742.171 1.33553 (274*2π)/8643 weeks
2752.48825 1.12715 (275*2π)/8643 weeks
2762.18454 1.46227 (276*2π)/8643 weeks
2772.21283 1.11562 (277*2π)/8643 weeks
2782.13357 1.50613 (278*2π)/8643 weeks
2791.91955 1.06947 (279*2π)/8643 weeks
2802.16963 1.11149 (280*2π)/8643 weeks
2812.25938 .72758 (281*2π)/8643 weeks
2822.53686 .94389 (282*2π)/8643 weeks
2832.65333 .84426 (283*2π)/8643 weeks
2842.90424 1.09083 (284*2π)/8643 weeks
2852.94251 1.29089 (285*2π)/8643 weeks
2862.83999 1.70941 (286*2π)/8643 weeks
2872.82867 1.55845 (287*2π)/8643 weeks
2882.72521 1.98758 (288*2π)/8643 weeks
2892.08936 1.75916 (289*2π)/8643 weeks
2902.35165 1.5899 (290*2π)/8643 weeks
2912.11413 1.69882 (291*2π)/8643 weeks
2922.16741 1.43965 (292*2π)/8643 weeks
2932.07856 1.64208 (293*2π)/8643 weeks
2942.0362 1.28158 (294*2π)/8643 weeks
2952.2766 1.4529 (295*2π)/8643 weeks
2962.07737 1.14848 (296*2π)/8643 weeks
2972.4188 1.33133 (297*2π)/8643 weeks
2982.05755 1.29576 (298*2π)/8643 weeks
2992.59332 1.31483 (299*2π)/8643 weeks
3002.37601 1.59495 (300*2π)/8643 weeks
3012.38053 1.71533 (301*2π)/8643 weeks
3022.11584 1.64252 (302*2π)/8643 weeks
3032.32372 1.68412 (303*2π)/8643 weeks
3041.7104 1.77392 (304*2π)/8643 weeks
3051.90536 1.26028 (305*2π)/8643 weeks
3062.00102 1.44081 (306*2π)/8643 weeks
3072.10497 1.13061 (307*2π)/8643 weeks
3082.13866 1.15595 (308*2π)/8643 weeks
3092.34124 1.22423 (309*2π)/8643 weeks
3102.34583 1.47113 (310*2π)/8643 weeks
3112.21782 1.31765 (311*2π)/8643 weeks
3122.4579 1.48441 (312*2π)/8643 weeks
3132.14933 1.70032 (313*2π)/8643 weeks
3142.23425 1.60858 (314*2π)/8643 weeks
3151.86629 1.79819 (315*2π)/8643 weeks
3161.98696 1.44235 (316*2π)/8643 weeks
3171.9386 1.73936 (317*2π)/8643 weeks
3181.56867 1.26793 (318*2π)/8643 weeks
3191.95233 1.30737 (319*2π)/8643 weeks
3201.8151 1.22088 (320*2π)/8643 weeks
3212.15377 1.21373 (321*2π)/8643 weeks
3222.13611 1.29582 (322*2π)/8643 weeks
3232.48254 1.40391 (323*2π)/8643 weeks
3242.24858 1.75321 (324*2π)/8643 weeks
3252.36317 1.65472 (325*2π)/8643 weeks
3262.07105 2.13531 (326*2π)/8643 weeks
3271.77633 1.93847 (327*2π)/8643 weeks
3281.65195 2.30142 (328*2π)/8643 weeks
3291.27628 2.05851 (329*2π)/8643 weeks
3301.40652 2.16025 (330*2π)/8643 weeks
331.8582 2.1199 (331*2π)/8643 weeks
332.97444 1.70846 (332*2π)/8643 weeks
333.79384 1.93189 (333*2π)/8643 weeks
334.66889 1.50972 (334*2π)/8643 weeks
335.61763 1.45607 (335*2π)/8643 weeks
336.37272 1.18322 (336*2π)/8643 weeks
337.21138 .87681 (337*2π)/8643 weeks
338.49726 .44861 (338*2π)/8643 weeks
339.50025 .77954 (339*2π)/8643 weeks
340.60257 .06125 (340*2π)/8643 weeks
341.97741 .42459 (341*2π)/8643 weeks
342.55503 -.04 (342*2π)/8643 weeks
3431.13049 -.16393 (343*2π)/8643 weeks
3441.02848 -.13041 (344*2π)/8643 weeks
3451.35264 -.42163 (345*2π)/8643 weeks
3461.58751 -.30807 (346*2π)/8642 weeks
3471.94081 -.36686 (347*2π)/8642 weeks
3482.12309 -.15725 (348*2π)/8642 weeks
3492.5138 -.12197 (349*2π)/8642 weeks
3502.48895 .43127 (350*2π)/8642 weeks
3512.40248 .33223 (351*2π)/8642 weeks
3522.57715 .89211 (352*2π)/8642 weeks
3531.96882 .89744 (353*2π)/8642 weeks
3542.20976 .9338 (354*2π)/8642 weeks
3551.74956 1.04038 (355*2π)/8642 weeks
3561.73542 .80351 (356*2π)/8642 weeks
3571.5902 .77969 (357*2π)/8642 weeks
3581.48122 .40795 (358*2π)/8642 weeks
3591.99501 .26909 (359*2π)/8642 weeks
3601.93626 .42979 (360*2π)/8642 weeks
3612.16216 .4172 (361*2π)/8642 weeks
3622.16987 .73884 (362*2π)/8642 weeks
3632.01619 .834 (363*2π)/8642 weeks
3641.9749 .83511 (364*2π)/8642 weeks
3652.04311 1.04236 (365*2π)/8642 weeks
3661.77868 1.11814 (366*2π)/8642 weeks
3671.72307 .94503 (367*2π)/8642 weeks
3681.7243 .91897 (368*2π)/8642 weeks
3691.63519 1.01591 (369*2π)/8642 weeks
3701.36464 .86479 (370*2π)/8642 weeks
3711.51105 .68766 (371*2π)/8642 weeks
3721.46906 .63639 (372*2π)/8642 weeks
3731.61238 .53822 (373*2π)/8642 weeks
3741.63606 .58528 (374*2π)/8642 weeks
3751.64369 .54274 (375*2π)/8642 weeks
3761.66742 .62248 (376*2π)/8642 weeks
3771.81831 .59786 (377*2π)/8642 weeks
3781.8084 .83963 (378*2π)/8642 weeks
3791.66161 1.04162 (379*2π)/8642 weeks
3801.3758 .99823 (380*2π)/8642 weeks
3811.5002 .89853 (381*2π)/8642 weeks
3821.31967 .99777 (382*2π)/8642 weeks
3831.10164 1.0372 (383*2π)/8642 weeks
384.95827 .7579 (384*2π)/8642 weeks
3851.05337 .55919 (385*2π)/8642 weeks
3861.0064 .57291 (386*2π)/8642 weeks
3871.06036 .54798 (387*2π)/8642 weeks
388.9202 .56466 (388*2π)/8642 weeks
3891.03509 .29923 (389*2π)/8642 weeks
3901.08791 .50075 (390*2π)/8642 weeks
391.86628 .23787 (391*2π)/8642 weeks
392.95821 .39416 (392*2π)/8642 weeks
393.56417 .33513 (393*2π)/8642 weeks
394.74565 -.04024 (394*2π)/8642 weeks
395.69152 -.00385 (395*2π)/8642 weeks
396.71221 -.35823 (396*2π)/8642 weeks
397.79896 -.40035 (397*2π)/8642 weeks
398.75506 -.47741 (398*2π)/8642 weeks
399.942 -.7522 (399*2π)/8642 weeks
4001.16444 -.70492 (400*2π)/8642 weeks
4011.41802 -.72046 (401*2π)/8642 weeks
4021.46092 -.58463 (402*2π)/8642 weeks
4031.63745 -.71634 (403*2π)/8642 weeks
4041.542 -.27838 (404*2π)/8642 weeks
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