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Fourier Analysis of LVLT (Level 3 Communications Inc)


LVLT (Level 3 Communications Inc) appears to have interesting cyclic behaviour every 92 weeks (63.7872*sine), 83 weeks (56.9763*sine), and 16 weeks (10.9325*cosine).

LVLT (Level 3 Communications Inc) has an average price of 116.37 (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 1/3/2000 to 7/17/2017 for LVLT (Level 3 Communications Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0116.3726   0 
1146.8914 43.10395 (1*2π)/916916 weeks
2129.2301 38.73491 (2*2π)/916458 weeks
3109.4043 68.43628 (3*2π)/916305 weeks
490.4052 66.27103 (4*2π)/916229 weeks
586.74482 87.85502 (5*2π)/916183 weeks
657.58581 92.25309 (6*2π)/916153 weeks
742.02539 83.77595 (7*2π)/916131 weeks
826.62937 80.76805 (8*2π)/916115 weeks
915.87845 72.09229 (9*2π)/916102 weeks
108.64846 63.78724 (10*2π)/91692 weeks
112.57021 56.97631 (11*2π)/91683 weeks
121.97817 46.56834 (12*2π)/91676 weeks
13-1.73392 42.17658 (13*2π)/91670 weeks
143.52205 35.4519 (14*2π)/91665 weeks
152.25156 35.19247 (15*2π)/91661 weeks
162.01572 29.02937 (16*2π)/91657 weeks
175.01488 29.59335 (17*2π)/91654 weeks
183.18845 27.11018 (18*2π)/91651 weeks
192.43054 28.43518 (19*2π)/91648 weeks
202.87956 24.73327 (20*2π)/91646 weeks
212.78429 25.18422 (21*2π)/91644 weeks
222.33772 23.06626 (22*2π)/91642 weeks
232.28539 23.20877 (23*2π)/91640 weeks
241.4494 17.65623 (24*2π)/91638 weeks
254.94912 17.79391 (25*2π)/91637 weeks
266.25541 18.28613 (26*2π)/91635 weeks
277.13104 18.68214 (27*2π)/91634 weeks
287.3605 20.17925 (28*2π)/91633 weeks
297.20857 20.84974 (29*2π)/91632 weeks
307.07681 20.54359 (30*2π)/91631 weeks
316.99964 23.04842 (31*2π)/91630 weeks
324.78838 23.12424 (32*2π)/91629 weeks
333.77511 23.21681 (33*2π)/91628 weeks
341.60205 22.18561 (34*2π)/91627 weeks
351.83603 21.77408 (35*2π)/91626 weeks
36.57236 22.74916 (36*2π)/91625 weeks
37-2.26486 23.38992 (37*2π)/91625 weeks
38-4.88591 20.8681 (38*2π)/91624 weeks
39-4.73758 19.72164 (39*2π)/91623 weeks
40-6.70215 18.36458 (40*2π)/91623 weeks
41-7.17898 14.90548 (41*2π)/91622 weeks
42-6.50535 13.79581 (42*2π)/91622 weeks
43-6.5486 11.58757 (43*2π)/91621 weeks
44-4.93363 8.85074 (44*2π)/91621 weeks
45-4.0177 9.15737 (45*2π)/91620 weeks
46-1.22265 7.34878 (46*2π)/91620 weeks
47.63047 8.84433 (47*2π)/91619 weeks
481.02634 10.43015 (48*2π)/91619 weeks
49.71597 11.79144 (49*2π)/91619 weeks
501.20986 11.57646 (50*2π)/91618 weeks
511.00145 13.25996 (51*2π)/91618 weeks
52.85705 13.44645 (52*2π)/91618 weeks
53-.97005 15.5591 (53*2π)/91617 weeks
54-2.79428 14.83433 (54*2π)/91617 weeks
55-4.35171 15.69845 (55*2π)/91617 weeks
56-7.27141 13.66713 (56*2π)/91616 weeks
57-8.75829 13.43768 (57*2π)/91616 weeks
58-10.82123 9.95279 (58*2π)/91616 weeks
59-10.93254 7.08653 (59*2π)/91616 weeks
60-10.25734 3.63584 (60*2π)/91615 weeks
61-7.5193 2.32448 (61*2π)/91615 weeks
62-6.69032 1.03229 (62*2π)/91615 weeks
63-4.65587 .52699 (63*2π)/91615 weeks
64-3.80741 -.13097 (64*2π)/91614 weeks
65-1.41208 -.3225 (65*2π)/91614 weeks
66-.01852 -.03952 (66*2π)/91614 weeks
671.27009 .79798 (67*2π)/91614 weeks
681.52174 1.55439 (68*2π)/91613 weeks
691.81797 2.36474 (69*2π)/91613 weeks
702.19738 2.54305 (70*2π)/91613 weeks
712.20787 3.29379 (71*2π)/91613 weeks
722.4351 3.01894 (72*2π)/91613 weeks
733.20556 3.31096 (73*2π)/91613 weeks
743.32924 3.56907 (74*2π)/91612 weeks
754.13618 4.52293 (75*2π)/91612 weeks
763.33198 6.05632 (76*2π)/91612 weeks
773.08763 5.39243 (77*2π)/91612 weeks
783.24688 6.64056 (78*2π)/91612 weeks
792.85075 6.52378 (79*2π)/91612 weeks
802.24813 6.89529 (80*2π)/91611 weeks
812.28736 7.13899 (81*2π)/91611 weeks
821.27025 7.822 (82*2π)/91611 weeks
83.58687 7.64932 (83*2π)/91611 weeks
84-.17611 7.95363 (84*2π)/91611 weeks
85-1.41461 7.33962 (85*2π)/91611 weeks
86-1.43274 5.97307 (86*2π)/91611 weeks
87-1.03865 6.07841 (87*2π)/91611 weeks
88-1.87717 5.5693 (88*2π)/91610 weeks
89-1.86274 4.89673 (89*2π)/91610 weeks
90-2.19964 4.22775 (90*2π)/91610 weeks
91-1.62512 3.66946 (91*2π)/91610 weeks
92-1.67796 3.12221 (92*2π)/91610 weeks
93-1.22621 2.38689 (93*2π)/91610 weeks
94-.94893 1.6818 (94*2π)/91610 weeks
95.35279 1.36288 (95*2π)/91610 weeks
961.02618 2.16067 (96*2π)/91610 weeks
971.26367 2.14934 (97*2π)/9169 weeks
981.66277 2.07802 (98*2π)/9169 weeks
992.16129 2.13452 (99*2π)/9169 weeks
1002.61748 2.19237 (100*2π)/9169 weeks
1013.2624 2.61187 (101*2π)/9169 weeks
1023.74921 3.36998 (102*2π)/9169 weeks
1033.68974 4.19311 (103*2π)/9169 weeks
1043.86653 4.6082 (104*2π)/9169 weeks
1053.12319 5.71194 (105*2π)/9169 weeks
1062.08078 5.32986 (106*2π)/9169 weeks
1071.98005 5.62293 (107*2π)/9169 weeks
1081.63152 5.36863 (108*2π)/9168 weeks
1091.64191 5.59666 (109*2π)/9168 weeks
1101.40894 5.09627 (110*2π)/9168 weeks
1111.71529 5.37675 (111*2π)/9168 weeks
1121.12984 5.09221 (112*2π)/9168 weeks
1131.85162 5.52265 (113*2π)/9168 weeks
1141.18372 5.84674 (114*2π)/9168 weeks
1151.22475 5.92648 (115*2π)/9168 weeks
116.84698 6.14132 (116*2π)/9168 weeks
117.63177 6.20205 (117*2π)/9168 weeks
118.13923 6.23043 (118*2π)/9168 weeks
119-.20242 5.93891 (119*2π)/9168 weeks
120-.34497 5.93898 (120*2π)/9168 weeks
121-.50535 5.96438 (121*2π)/9168 weeks
122-1.012 5.74317 (122*2π)/9168 weeks
123-1.34243 5.31204 (123*2π)/9167 weeks
124-1.75721 4.91951 (124*2π)/9167 weeks
125-1.88314 4.79688 (125*2π)/9167 weeks
126-2.26584 3.87512 (126*2π)/9167 weeks
127-2.05689 3.99586 (127*2π)/9167 weeks
128-2.1661 2.97218 (128*2π)/9167 weeks
129-1.40983 2.5279 (129*2π)/9167 weeks
130-1.29379 2.42874 (130*2π)/9167 weeks
131-.18095 2.43587 (131*2π)/9167 weeks
132-.37809 2.9384 (132*2π)/9167 weeks
133-.14709 3.10754 (133*2π)/9167 weeks
134-.33111 2.99357 (134*2π)/9167 weeks
135.08 2.98935 (135*2π)/9167 weeks
136-.08961 3.82464 (136*2π)/9167 weeks
137-.37055 3.55014 (137*2π)/9167 weeks
138-.43656 3.70875 (138*2π)/9167 weeks
139-.88028 3.83177 (139*2π)/9167 weeks
140-1.02894 4.03367 (140*2π)/9167 weeks
141-1.95686 3.98657 (141*2π)/9166 weeks
142-2.19385 3.12144 (142*2π)/9166 weeks
143-2.24202 2.49099 (143*2π)/9166 weeks
144-2.49175 2.24935 (144*2π)/9166 weeks
145-2.09717 1.80495 (145*2π)/9166 weeks
146-2.27705 1.71141 (146*2π)/9166 weeks
147-2.03753 1.36643 (147*2π)/9166 weeks
148-2.13089 1.24729 (148*2π)/9166 weeks
149-1.9035 .22033 (149*2π)/9166 weeks
150-1.39708 .42993 (150*2π)/9166 weeks
151-1.28441 -.20201 (151*2π)/9166 weeks
152-.37015 -.07046 (152*2π)/9166 weeks
153-.58037 .07567 (153*2π)/9166 weeks
154-.33111 -.1376 (154*2π)/9166 weeks
155-.37965 -.26385 (155*2π)/9166 weeks
156.35367 -.57798 (156*2π)/9166 weeks
157.59289 -.26929 (157*2π)/9166 weeks
158.65984 -.25528 (158*2π)/9166 weeks
159.83099 -.50099 (159*2π)/9166 weeks
1601.15628 -.62096 (160*2π)/9166 weeks
1611.68397 -.49781 (161*2π)/9166 weeks
1622.29973 -.16678 (162*2π)/9166 weeks
1632.50881 .25373 (163*2π)/9166 weeks
1642.73488 .4281 (164*2π)/9166 weeks
1653.20139 .73493 (165*2π)/9166 weeks
1663.21209 1.45076 (166*2π)/9166 weeks
1673.2354 1.85143 (167*2π)/9165 weeks
1683.24209 2.36085 (168*2π)/9165 weeks
1693.19173 2.66039 (169*2π)/9165 weeks
1702.77037 3.49151 (170*2π)/9165 weeks
1712.09154 3.66775 (171*2π)/9165 weeks
1721.70683 3.77665 (172*2π)/9165 weeks
1731.34346 4.13221 (173*2π)/9165 weeks
174.47223 4.0241 (174*2π)/9165 weeks
175.0739 3.67897 (175*2π)/9165 weeks
176-.42836 3.3045 (176*2π)/9165 weeks
177-.33721 2.92772 (177*2π)/9165 weeks
178-.63029 2.79543 (178*2π)/9165 weeks
179-.74611 2.32119 (179*2π)/9165 weeks
180-.67176 1.76023 (180*2π)/9165 weeks
181-.59152 1.66129 (181*2π)/9165 weeks
182-.67486 .94395 (182*2π)/9165 weeks
183.21966 .9295 (183*2π)/9165 weeks
184.18186 1.10124 (184*2π)/9165 weeks
185.67585 .83557 (185*2π)/9165 weeks
186.91445 1.12955 (186*2π)/9165 weeks
1871.2303 1.4039 (187*2π)/9165 weeks
1881.25971 2.00559 (188*2π)/9165 weeks
189.87902 2.06102 (189*2π)/9165 weeks
190.52443 2.34487 (190*2π)/9165 weeks
191.33105 2.0596 (191*2π)/9165 weeks
192.22131 2.06672 (192*2π)/9165 weeks
193-.09495 2.02722 (193*2π)/9165 weeks
194-.32668 1.96104 (194*2π)/9165 weeks
195-.72416 2.06914 (195*2π)/9165 weeks
196-1.10691 1.3775 (196*2π)/9165 weeks
197-.70216 .78282 (197*2π)/9165 weeks
198-.7528 .94649 (198*2π)/9165 weeks
199-.68584 .19066 (199*2π)/9165 weeks
200-.26367 -.11038 (200*2π)/9165 weeks
201-.07599 .06877 (201*2π)/9165 weeks
202.08419 -.17675 (202*2π)/9165 weeks
203.40319 -.19792 (203*2π)/9165 weeks
204.5059 -.30123 (204*2π)/9164 weeks
205.75264 -.41464 (205*2π)/9164 weeks
206.98231 -.50515 (206*2π)/9164 weeks
2071.08061 -.28551 (207*2π)/9164 weeks
2081.61574 -.46163 (208*2π)/9164 weeks
2091.78231 -.04365 (209*2π)/9164 weeks
2101.67624 -.20064 (210*2π)/9164 weeks
2111.98155 -.13873 (211*2π)/9164 weeks
2122.11506 -.01442 (212*2π)/9164 weeks
2132.30849 -.06603 (213*2π)/9164 weeks
2142.57734 .05583 (214*2π)/9164 weeks
2153.00973 .5072 (215*2π)/9164 weeks
2162.85733 1.01108 (216*2π)/9164 weeks
2173.07824 1.10915 (217*2π)/9164 weeks
2182.87022 1.63182 (218*2π)/9164 weeks
2192.68978 1.66315 (219*2π)/9164 weeks
2202.80879 2.191 (220*2π)/9164 weeks
2212.20154 2.3016 (221*2π)/9164 weeks
2222.24143 2.36294 (222*2π)/9164 weeks
2231.92624 2.52021 (223*2π)/9164 weeks
2241.862 2.33711 (224*2π)/9164 weeks
2251.67915 2.60204 (225*2π)/9164 weeks
2261.21747 2.68921 (226*2π)/9164 weeks
227.80353 2.37367 (227*2π)/9164 weeks
2281.0518 2.18335 (228*2π)/9164 weeks
229.66384 2.23424 (229*2π)/9164 weeks
230.82814 1.80901 (230*2π)/9164 weeks
231.71337 2.10292 (231*2π)/9164 weeks
232.39661 1.72587 (232*2π)/9164 weeks
233.6404 1.29528 (233*2π)/9164 weeks
234.88053 1.19451 (234*2π)/9164 weeks
2351.28845 .86208 (235*2π)/9164 weeks
2361.68686 1.27855 (236*2π)/9164 weeks
2371.5731 1.49222 (237*2π)/9164 weeks
2381.61288 1.56082 (238*2π)/9164 weeks
2391.70653 1.83646 (239*2π)/9164 weeks
2401.41469 2.0423 (240*2π)/9164 weeks
2411.34818 1.95582 (241*2π)/9164 weeks
2421.41474 2.01227 (242*2π)/9164 weeks
2431.50023 2.0378 (243*2π)/9164 weeks
2441.60217 2.25594 (244*2π)/9164 weeks
2451.62576 2.48747 (245*2π)/9164 weeks
2461.36206 2.93626 (246*2π)/9164 weeks
247.73052 2.96958 (247*2π)/9164 weeks
248.70788 3.06705 (248*2π)/9164 weeks
249.26522 3.13717 (249*2π)/9164 weeks
250-.0714 2.96942 (250*2π)/9164 weeks
251-.37602 2.74887 (251*2π)/9164 weeks
252-.57799 2.5622 (252*2π)/9164 weeks
253-.7763 2.17471 (253*2π)/9164 weeks
254-.68237 2.0343 (254*2π)/9164 weeks
255-.76845 1.70784 (255*2π)/9164 weeks
256-.78458 1.35279 (256*2π)/9164 weeks
257-.58581 1.3821 (257*2π)/9164 weeks
258-.72836 1.02071 (258*2π)/9164 weeks
259-.33807 .94787 (259*2π)/9164 weeks
260-.45397 .83719 (260*2π)/9164 weeks
261-.42106 .74161 (261*2π)/9164 weeks
262-.35811 .6691 (262*2π)/9163 weeks
263-.17167 .42504 (263*2π)/9163 weeks
264.07552 .43356 (264*2π)/9163 weeks
265.22937 .67815 (265*2π)/9163 weeks
266.29098 .67931 (266*2π)/9163 weeks
267.20187 .98945 (267*2π)/9163 weeks
268-.1014 .8058 (268*2π)/9163 weeks
269-.09801 .74512 (269*2π)/9163 weeks
270-.15305 .31011 (270*2π)/9163 weeks
271.16422 .44619 (271*2π)/9163 weeks
272.25072 .27221 (272*2π)/9163 weeks
273.64865 .3951 (273*2π)/9163 weeks
274.63209 .78125 (274*2π)/9163 weeks
275.44581 .88168 (275*2π)/9163 weeks
276.18787 1.04484 (276*2π)/9163 weeks
277.01803 .71964 (277*2π)/9163 weeks
278.22521 .73664 (278*2π)/9163 weeks
279.06466 .63068 (279*2π)/9163 weeks
280.14895 .69311 (280*2π)/9163 weeks
281-.22135 .73266 (281*2π)/9163 weeks
282-.18135 .37965 (282*2π)/9163 weeks
283-.14691 .26505 (283*2π)/9163 weeks
284-.08684 .13694 (284*2π)/9163 weeks
285-.05528 .19123 (285*2π)/9163 weeks
286-.16992 .03101 (286*2π)/9163 weeks
287-.07957 -.0822 (287*2π)/9163 weeks
288-.04843 -.14988 (288*2π)/9163 weeks
289-.08052 -.51528 (289*2π)/9163 weeks
290.24164 -.56301 (290*2π)/9163 weeks
291.31618 -.63052 (291*2π)/9163 weeks
292.55632 -.68494 (292*2π)/9163 weeks
293.58743 -.68519 (293*2π)/9163 weeks
294.89568 -.62632 (294*2π)/9163 weeks
295.55344 -.62249 (295*2π)/9163 weeks
296.87238 -1.02188 (296*2π)/9163 weeks
2971.05516 -.93245 (297*2π)/9163 weeks
2981.5587 -.93231 (298*2π)/9163 weeks
2991.7304 -.69093 (299*2π)/9163 weeks
3002.06274 -.47816 (300*2π)/9163 weeks
3012.04727 -.04322 (301*2π)/9163 weeks
3022.07187 .12424 (302*2π)/9163 weeks
3032.05913 .49942 (303*2π)/9163 weeks
3041.77338 .77507 (304*2π)/9163 weeks
3051.54515 .60386 (305*2π)/9163 weeks
3061.59975 .61563 (306*2π)/9163 weeks
3071.55665 .76147 (307*2π)/9163 weeks
3081.62127 1.06338 (308*2π)/9163 weeks
3091.05019 1.2486 (309*2π)/9163 weeks
310.7753 .81128 (310*2π)/9163 weeks
311.84035 .86921 (311*2π)/9163 weeks
312.60962 .50022 (312*2π)/9163 weeks
313.86492 .29808 (313*2π)/9163 weeks
3141.0875 .28176 (314*2π)/9163 weeks
3151.304 .49315 (315*2π)/9163 weeks
3161.08915 .7576 (316*2π)/9163 weeks
317.81973 .81633 (317*2π)/9163 weeks
318.76665 .66117 (318*2π)/9163 weeks
319.8085 .72005 (319*2π)/9163 weeks
320.73892 .72631 (320*2π)/9163 weeks
321.69842 .80204 (321*2π)/9163 weeks
322.41253 .77119 (322*2π)/9163 weeks
323.07819 .50165 (323*2π)/9163 weeks
324.15599 .27384 (324*2π)/9163 weeks
325.21482 -.21247 (325*2π)/9163 weeks
326.53484 -.20998 (326*2π)/9163 weeks
327.82169 -.46199 (327*2π)/9163 weeks
3281.11058 -.31828 (328*2π)/9163 weeks
3291.18664 -.17874 (329*2π)/9163 weeks
3301.41695 .02838 (330*2π)/9163 weeks
3311.31934 .21114 (331*2π)/9163 weeks
3321.22995 .36668 (332*2π)/9163 weeks
3331.32721 .31489 (333*2π)/9163 weeks
334.85885 .57756 (334*2π)/9163 weeks
335.96974 .46432 (335*2π)/9163 weeks
336.7063 .61803 (336*2π)/9163 weeks
337.26146 .28899 (337*2π)/9163 weeks
338.39515 -.00822 (338*2π)/9163 weeks
339.67646 -.27696 (339*2π)/9163 weeks
340.80676 -.34708 (340*2π)/9163 weeks
3411.22681 -.19138 (341*2π)/9163 weeks
3421.32148 -.05732 (342*2π)/9163 weeks
3431.22823 .038 (343*2π)/9163 weeks
3441.51061 .14832 (344*2π)/9163 weeks
3451.27118 .41503 (345*2π)/9163 weeks
3461.32005 .53781 (346*2π)/9163 weeks
347.91626 .81308 (347*2π)/9163 weeks
348.65318 .58272 (348*2π)/9163 weeks
349.51849 .46917 (349*2π)/9163 weeks
350.44857 .31927 (350*2π)/9163 weeks
351.2221 .1205 (351*2π)/9163 weeks
352.25619 -.15399 (352*2π)/9163 weeks
353.26231 -.30335 (353*2π)/9163 weeks
354.46782 -.76533 (354*2π)/9163 weeks
355.73925 -.8272 (355*2π)/9163 weeks
3561.12435 -.82365 (356*2π)/9163 weeks
3571.48332 -.66066 (357*2π)/9163 weeks
3581.51369 -.54532 (358*2π)/9163 weeks
3591.82612 -.26118 (359*2π)/9163 weeks
3601.6865 .18024 (360*2π)/9163 weeks
3611.44253 .2751 (361*2π)/9163 weeks
3621.32647 .34274 (362*2π)/9163 weeks
3631.28649 .51243 (363*2π)/9163 weeks
364.95513 .46376 (364*2π)/9163 weeks
365.89495 .43335 (365*2π)/9163 weeks
366.68323 .45399 (366*2π)/9163 weeks
367.54179 .22951 (367*2π)/9162 weeks
368.50949 .25614 (368*2π)/9162 weeks
369.30597 .01002 (369*2π)/9162 weeks
370.51859 -.1721 (370*2π)/9162 weeks
371.3777 -.08509 (371*2π)/9162 weeks
372.3559 -.33935 (372*2π)/9162 weeks
373.40017 -.41151 (373*2π)/9162 weeks
374.35362 -.64352 (374*2π)/9162 weeks
375.45866 -.97613 (375*2π)/9162 weeks
376.87023 -.98351 (376*2π)/9162 weeks
377.91761 -.99059 (377*2π)/9162 weeks
3781.01372 -.89489 (378*2π)/9162 weeks
379.94775 -1.04275 (379*2π)/9162 weeks
3801.29932 -1.12632 (380*2π)/9162 weeks
3811.2651 -1.0611 (381*2π)/9162 weeks
3821.49763 -1.11929 (382*2π)/9162 weeks
3831.62209 -1.06697 (383*2π)/9162 weeks
3841.83708 -.77658 (384*2π)/9162 weeks
3851.82046 -.76376 (385*2π)/9162 weeks
3862.00543 -.55738 (386*2π)/9162 weeks
3871.75871 -.45575 (387*2π)/9162 weeks
3881.91482 -.30347 (388*2π)/9162 weeks
3891.55891 -.1685 (389*2π)/9162 weeks
3901.57817 -.30872 (390*2π)/9162 weeks
3911.44554 -.34133 (391*2π)/9162 weeks
3921.40674 -.45251 (392*2π)/9162 weeks
3931.55347 -.5897 (393*2π)/9162 weeks
3941.56258 -.54067 (394*2π)/9162 weeks
3951.64921 -.76123 (395*2π)/9162 weeks
3962.03672 -.74014 (396*2π)/9162 weeks
3972.18533 -.55234 (397*2π)/9162 weeks
3982.26574 -.40586 (398*2π)/9162 weeks
3992.21839 -.1313 (399*2π)/9162 weeks
4002.20388 .05523 (400*2π)/9162 weeks
4012.04893 .14417 (401*2π)/9162 weeks
4021.87598 .32391 (402*2π)/9162 weeks
4031.69379 .33771 (403*2π)/9162 weeks
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8181.66277 -2.07802 (818*2π)/9161 weeks
8191.26367 -2.14934 (819*2π)/9161 weeks
8201.02618 -2.16067 (820*2π)/9161 weeks
821.35279 -1.36288 (821*2π)/9161 weeks
822-.94893 -1.6818 (822*2π)/9161 weeks
823-1.22621 -2.38689 (823*2π)/9161 weeks
824-1.67796 -3.12221 (824*2π)/9161 weeks
825-1.62512 -3.66946 (825*2π)/9161 weeks
826-2.19964 -4.22775 (826*2π)/9161 weeks
827-1.86274 -4.89673 (827*2π)/9161 weeks
828-1.87717 -5.5693 (828*2π)/9161 weeks
829-1.03865 -6.07841 (829*2π)/9161 weeks
830-1.43274 -5.97307 (830*2π)/9161 weeks
831-1.41461 -7.33962 (831*2π)/9161 weeks
832-.17611 -7.95363 (832*2π)/9161 weeks
833.58687 -7.64932 (833*2π)/9161 weeks
8341.27025 -7.822 (834*2π)/9161 weeks
8352.28736 -7.13899 (835*2π)/9161 weeks
8362.24813 -6.89529 (836*2π)/9161 weeks
8372.85075 -6.52378 (837*2π)/9161 weeks
8383.24688 -6.64056 (838*2π)/9161 weeks
8393.08763 -5.39243 (839*2π)/9161 weeks
8403.33198 -6.05632 (840*2π)/9161 weeks
8414.13618 -4.52293 (841*2π)/9161 weeks
8423.32924 -3.56907 (842*2π)/9161 weeks
8433.20556 -3.31096 (843*2π)/9161 weeks
8442.4351 -3.01894 (844*2π)/9161 weeks
8452.20787 -3.29379 (845*2π)/9161 weeks
8462.19738 -2.54305 (846*2π)/9161 weeks
8471.81797 -2.36474 (847*2π)/9161 weeks
8481.52174 -1.55439 (848*2π)/9161 weeks
8491.27009 -.79798 (849*2π)/9161 weeks
850-.01852 .03952 (850*2π)/9161 weeks
851-1.41208 .3225 (851*2π)/9161 weeks
852-3.80741 .13097 (852*2π)/9161 weeks
853-4.65587 -.52699 (853*2π)/9161 weeks
854-6.69032 -1.03229 (854*2π)/9161 weeks
855-7.5193 -2.32448 (855*2π)/9161 weeks
856-10.25734 -3.63584 (856*2π)/9161 weeks
857-10.93254 -7.08653 (857*2π)/9161 weeks
858-10.82123 -9.95279 (858*2π)/9161 weeks
859-8.75829 -13.43768 (859*2π)/9161 weeks
860-7.27141 -13.66713 (860*2π)/9161 weeks
861-4.35171 -15.69845 (861*2π)/9161 weeks
862-2.79428 -14.83433 (862*2π)/9161 weeks
863-.97005 -15.5591 (863*2π)/9161 weeks
864.85705 -13.44645 (864*2π)/9161 weeks
8651.00145 -13.25996 (865*2π)/9161 weeks
8661.20986 -11.57646 (866*2π)/9161 weeks
867.71597 -11.79144 (867*2π)/9161 weeks
8681.02634 -10.43015 (868*2π)/9161 weeks
869.63047 -8.84433 (869*2π)/9161 weeks
870-1.22265 -7.34878 (870*2π)/9161 weeks
871-4.0177 -9.15737 (871*2π)/9161 weeks
872-4.93363 -8.85074 (872*2π)/9161 weeks
873-6.5486 -11.58757 (873*2π)/9161 weeks
874-6.50535 -13.79581 (874*2π)/9161 weeks
875-7.17898 -14.90548 (875*2π)/9161 weeks
876-6.70215 -18.36458 (876*2π)/9161 weeks
877-4.73758 -19.72164 (877*2π)/9161 weeks
878-4.88591 -20.8681 (878*2π)/9161 weeks
879-2.26486 -23.38992 (879*2π)/9161 weeks
880.57236 -22.74916 (880*2π)/9161 weeks
8811.83603 -21.77408 (881*2π)/9161 weeks
8821.60205 -22.18561 (882*2π)/9161 weeks
8833.77511 -23.21681 (883*2π)/9161 weeks
8844.78838 -23.12424 (884*2π)/9161 weeks
8856.99964 -23.04842 (885*2π)/9161 weeks
8867.07681 -20.54359 (886*2π)/9161 weeks
8877.20857 -20.84974 (887*2π)/9161 weeks
8887.3605 -20.17925 (888*2π)/9161 weeks
8897.13104 -18.68214 (889*2π)/9161 weeks
8906.25541 -18.28613 (890*2π)/9161 weeks
8914.94912 -17.79391 (891*2π)/9161 weeks
8921.4494 -17.65623 (892*2π)/9161 weeks
8932.28539 -23.20877 (893*2π)/9161 weeks
8942.33772 -23.06626 (894*2π)/9161 weeks
8952.78429 -25.18422 (895*2π)/9161 weeks
8962.87956 -24.73327 (896*2π)/9161 weeks
8972.43054 -28.43518 (897*2π)/9161 weeks
8983.18845 -27.11018 (898*2π)/9161 weeks
8995.01488 -29.59335 (899*2π)/9161 weeks
9002.01572 -29.02937 (900*2π)/9161 weeks
9012.25156 -35.19247 (901*2π)/9161 weeks
9023.52205 -35.4519 (902*2π)/9161 weeks
903-1.73392 -42.17658 (903*2π)/9161 weeks
9041.97817 -46.56834 (904*2π)/9161 weeks
9052.57021 -56.97631 (905*2π)/9161 weeks
9068.64846 -63.78724 (906*2π)/9161 weeks
90715.87845 -72.09229 (907*2π)/9161 weeks
90826.62937 -80.76805 (908*2π)/9161 weeks
90942.02539 -83.77595 (909*2π)/9161 weeks
91057.58581 -92.25309 (910*2π)/9161 weeks
91186.74482 -87.85502 (911*2π)/9161 weeks
91290.4052 -66.27103 (912*2π)/9161 weeks
913109.4043 -68.43628 (913*2π)/9161 weeks
914129.2301 -38.73491 (914*2π)/9161 weeks



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