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Fourier Analysis of LVLT (Level 3 Communications Inc)


LVLT (Level 3 Communications Inc) appears to have interesting cyclic behaviour every 93 weeks (63.9762*sine), 84 weeks (57.416*sine), and 15 weeks (10.6604*cosine).

LVLT (Level 3 Communications Inc) has an average price of 115.5 (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 1/3/2000 to 10/9/2017 for LVLT (Level 3 Communications Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0115.5035   0 
1145.8465 41.78197 (1*2π)/928928 weeks
2126.9066 37.21076 (2*2π)/928464 weeks
3108.8496 67.08597 (3*2π)/928309 weeks
488.95865 65.77918 (4*2π)/928232 weeks
587.53716 85.01717 (5*2π)/928186 weeks
658.69178 90.98676 (6*2π)/928155 weeks
741.89968 82.52069 (7*2π)/928133 weeks
827.41408 80.3987 (8*2π)/928116 weeks
916.28176 72.0134 (9*2π)/928103 weeks
108.85471 63.97622 (10*2π)/92893 weeks
113.34272 57.41604 (11*2π)/92884 weeks
121.03962 46.66537 (12*2π)/92877 weeks
13-1.08513 43.48681 (13*2π)/92871 weeks
142.3821 34.63229 (14*2π)/92866 weeks
152.45011 34.99915 (15*2π)/92862 weeks
16.60056 29.80881 (16*2π)/92858 weeks
174.58021 28.75936 (17*2π)/92855 weeks
182.31109 28.14222 (18*2π)/92852 weeks
193.71046 28.6719 (19*2π)/92849 weeks
202.30312 24.98355 (20*2π)/92846 weeks
213.48106 24.98451 (21*2π)/92844 weeks
222.35341 23.21173 (22*2π)/92842 weeks
233.08165 22.35301 (23*2π)/92840 weeks
24.09652 19.28259 (24*2π)/92839 weeks
254.47671 17.31305 (25*2π)/92837 weeks
265.9211 17.72252 (26*2π)/92836 weeks
276.71543 18.15244 (27*2π)/92834 weeks
287.64903 19.24337 (28*2π)/92833 weeks
297.24509 19.85166 (29*2π)/92832 weeks
306.45533 20.22642 (30*2π)/92831 weeks
317.45223 21.41567 (31*2π)/92830 weeks
325.04831 22.87854 (32*2π)/92829 weeks
333.79431 22.69757 (33*2π)/92828 weeks
341.92141 23.12387 (34*2π)/92827 weeks
351.58471 21.78808 (35*2π)/92827 weeks
361.41545 22.64941 (36*2π)/92826 weeks
37-.21756 23.428 (37*2π)/92825 weeks
38-3.55439 22.36585 (38*2π)/92824 weeks
39-4.19542 19.53591 (39*2π)/92824 weeks
40-5.34815 19.13662 (40*2π)/92823 weeks
41-7.19166 16.73617 (41*2π)/92823 weeks
42-6.21058 14.143 (42*2π)/92822 weeks
43-6.50272 12.86247 (43*2π)/92822 weeks
44-6.07969 10.53733 (44*2π)/92821 weeks
45-3.28741 9.20689 (45*2π)/92821 weeks
46-3.16664 7.87506 (46*2π)/92820 weeks
47.13527 7.97945 (47*2π)/92820 weeks
481.38617 9.40051 (48*2π)/92819 weeks
491.48672 10.55124 (49*2π)/92819 weeks
50.54049 11.2264 (50*2π)/92819 weeks
511.4158 11.92221 (51*2π)/92818 weeks
52.42171 13.23267 (52*2π)/92818 weeks
53.77925 14.30921 (53*2π)/92818 weeks
54-1.80769 15.48001 (54*2π)/92817 weeks
55-2.82858 14.96057 (55*2π)/92817 weeks
56-5.24692 15.75259 (56*2π)/92817 weeks
57-6.87844 13.34336 (57*2π)/92816 weeks
58-9.42656 12.80735 (58*2π)/92816 weeks
59-10.56549 9.22769 (59*2π)/92816 weeks
60-10.66038 6.43862 (60*2π)/92815 weeks
61-9.43499 3.02568 (61*2π)/92815 weeks
62-7.20459 2.40517 (62*2π)/92815 weeks
63-6.14794 .84538 (63*2π)/92815 weeks
64-4.39468 .60618 (64*2π)/92815 weeks
65-3.46667 -.31367 (65*2π)/92814 weeks
66-1.25018 -.09492 (66*2π)/92814 weeks
67.16072 .224 (67*2π)/92814 weeks
681.33386 1.13292 (68*2π)/92814 weeks
691.57081 1.70664 (69*2π)/92813 weeks
701.74498 2.44828 (70*2π)/92813 weeks
712.18203 2.65595 (71*2π)/92813 weeks
722.08551 3.3609 (72*2π)/92813 weeks
732.36677 3.11069 (73*2π)/92813 weeks
743.10953 3.4266 (74*2π)/92813 weeks
753.24911 3.60546 (75*2π)/92812 weeks
764.03167 4.55419 (76*2π)/92812 weeks
773.21818 6.05272 (77*2π)/92812 weeks
782.95622 5.4022 (78*2π)/92812 weeks
793.13499 6.60082 (79*2π)/92812 weeks
802.69006 6.44624 (80*2π)/92812 weeks
812.12021 6.82928 (81*2π)/92811 weeks
822.14506 7.00688 (82*2π)/92811 weeks
831.21773 7.77375 (83*2π)/92811 weeks
84.48801 7.60888 (84*2π)/92811 weeks
85-.15082 7.88031 (85*2π)/92811 weeks
86-1.35759 7.37911 (86*2π)/92811 weeks
87-1.57438 5.98638 (87*2π)/92811 weeks
88-1.0561 5.89674 (88*2π)/92811 weeks
89-1.92219 5.6454 (89*2π)/92810 weeks
90-1.96388 4.88749 (90*2π)/92810 weeks
91-2.22256 4.37373 (91*2π)/92810 weeks
92-1.67841 3.56375 (92*2π)/92810 weeks
93-1.71434 3.17642 (93*2π)/92810 weeks
94-1.40408 2.40785 (94*2π)/92810 weeks
95-1.12442 1.91643 (95*2π)/92810 weeks
96.0741 1.27428 (96*2π)/92810 weeks
971.14885 1.827 (97*2π)/92810 weeks
981.23062 1.88169 (98*2π)/9289 weeks
991.50792 1.81913 (99*2π)/9289 weeks
1001.92738 1.83238 (100*2π)/9289 weeks
1012.31664 1.95233 (101*2π)/9289 weeks
1023.00622 2.21789 (102*2π)/9289 weeks
1033.57789 2.82055 (103*2π)/9289 weeks
1043.692 3.69065 (104*2π)/9289 weeks
1053.49842 4.103 (105*2π)/9289 weeks
1063.36891 5.29541 (106*2π)/9289 weeks
1072.18419 5.60639 (107*2π)/9289 weeks
1082.31294 5.34349 (108*2π)/9289 weeks
1091.81668 5.32158 (109*2π)/9289 weeks
1101.88162 5.15668 (110*2π)/9288 weeks
1111.32451 5.12532 (111*2π)/9288 weeks
1121.67981 4.91741 (112*2π)/9288 weeks
1131.3552 5.362 (113*2π)/9288 weeks
1141.81085 4.83121 (114*2π)/9288 weeks
1151.64607 5.69552 (115*2π)/9288 weeks
1161.3197 5.50486 (116*2π)/9288 weeks
1171.13987 5.80362 (117*2π)/9288 weeks
118.7808 5.82695 (118*2π)/9288 weeks
119.45977 6.02858 (119*2π)/9288 weeks
120-.01714 5.94563 (120*2π)/9288 weeks
121-.15338 5.72282 (121*2π)/9288 weeks
122-.42507 5.67904 (122*2π)/9288 weeks
123-.8228 5.82563 (123*2π)/9288 weeks
124-1.21881 5.61372 (124*2π)/9287 weeks
125-1.37647 5.36108 (125*2π)/9287 weeks
126-1.53133 4.84487 (126*2π)/9287 weeks
127-1.96859 4.66769 (127*2π)/9287 weeks
128-1.71056 3.69596 (128*2π)/9287 weeks
129-2.12452 3.66521 (129*2π)/9287 weeks
130-1.79152 2.73228 (130*2π)/9287 weeks
131-1.10911 2.62835 (131*2π)/9287 weeks
132-.95411 2.18268 (132*2π)/9287 weeks
133-.05775 2.73429 (133*2π)/9287 weeks
134-.273 2.8746 (134*2π)/9287 weeks
135-.17956 3.22642 (135*2π)/9287 weeks
136-.19991 3.04337 (136*2π)/9287 weeks
137.26683 3.23305 (137*2π)/9287 weeks
138-.25154 3.89486 (138*2π)/9287 weeks
139-.29675 3.69022 (139*2π)/9287 weeks
140-.37075 3.88966 (140*2π)/9287 weeks
141-.80155 3.90368 (141*2π)/9287 weeks
142-1.07871 4.21149 (142*2π)/9287 weeks
143-2.03897 3.98148 (143*2π)/9286 weeks
144-2.12548 3.214 (144*2π)/9286 weeks
145-2.0586 2.5897 (145*2π)/9286 weeks
146-2.36242 2.23628 (146*2π)/9286 weeks
147-1.99044 1.91849 (147*2π)/9286 weeks
148-2.24413 1.74842 (148*2π)/9286 weeks
149-2.01966 1.45024 (149*2π)/9286 weeks
150-2.15007 1.31815 (150*2π)/9286 weeks
151-1.8301 .32259 (151*2π)/9286 weeks
152-1.41317 .55422 (152*2π)/9286 weeks
153-1.29737 -.086 (153*2π)/9286 weeks
154-.42199 .04479 (154*2π)/9286 weeks
155-.62348 .16739 (155*2π)/9286 weeks
156-.37449 -.04022 (156*2π)/9286 weeks
157-.43017 -.1323 (157*2π)/9286 weeks
158.23631 -.48477 (158*2π)/9286 weeks
159.47431 -.18822 (159*2π)/9286 weeks
160.53422 -.18363 (160*2π)/9286 weeks
161.67535 -.41181 (161*2π)/9286 weeks
162.99473 -.49536 (162*2π)/9286 weeks
1631.52994 -.39986 (163*2π)/9286 weeks
1642.13694 -.17437 (164*2π)/9286 weeks
1652.37742 .2238 (165*2π)/9286 weeks
1662.56946 .38611 (166*2π)/9286 weeks
1672.97951 .62684 (167*2π)/9286 weeks
1683.10605 1.36811 (168*2π)/9286 weeks
1693.07533 1.71733 (169*2π)/9285 weeks
1703.08664 2.13176 (170*2π)/9285 weeks
1712.92001 2.44168 (171*2π)/9285 weeks
1722.75543 3.28948 (172*2π)/9285 weeks
1732.05601 3.61621 (173*2π)/9285 weeks
1741.66309 3.7037 (174*2π)/9285 weeks
1751.38467 3.90397 (175*2π)/9285 weeks
176.54761 4.01412 (176*2π)/9285 weeks
177.07763 3.63681 (177*2π)/9285 weeks
178-.34479 3.40955 (178*2π)/9285 weeks
179-.40806 2.82929 (179*2π)/9285 weeks
180-.5519 2.73527 (180*2π)/9285 weeks
181-.80567 2.2562 (181*2π)/9285 weeks
182-.87163 1.77619 (182*2π)/9285 weeks
183-.59563 1.58072 (183*2π)/9285 weeks
184-.79709 1.25805 (184*2π)/9285 weeks
185-.03028 .61934 (185*2π)/9285 weeks
186.24037 .95675 (186*2π)/9285 weeks
187.33485 .62328 (187*2π)/9285 weeks
188.83897 .86737 (188*2π)/9285 weeks
1891.07007 1.03149 (189*2π)/9285 weeks
1901.26146 1.4825 (190*2π)/9285 weeks
191.84866 1.94352 (191*2π)/9285 weeks
192.77003 2.09563 (192*2π)/9285 weeks
193.2811 2.03982 (193*2π)/9285 weeks
194.26159 2.01175 (194*2π)/9285 weeks
195.10857 2.10574 (195*2π)/9285 weeks
196-.06524 1.98164 (196*2π)/9285 weeks
197-.1971 1.87467 (197*2π)/9285 weeks
198-.83676 1.6152 (198*2π)/9285 weeks
199-.90189 .86732 (199*2π)/9285 weeks
200-.4415 .73206 (200*2π)/9285 weeks
201-.85574 .53632 (201*2π)/9285 weeks
202-.45239 .01699 (202*2π)/9285 weeks
203.07477 -.12592 (203*2π)/9285 weeks
204.06023 -.12239 (204*2π)/9285 weeks
205.30331 -.29672 (205*2π)/9285 weeks
206.48559 -.22767 (206*2π)/9285 weeks
207.64851 -.36179 (207*2π)/9284 weeks
208.93231 -.42199 (208*2π)/9284 weeks
2091.28856 -.48134 (209*2π)/9284 weeks
2101.22109 -.4629 (210*2π)/9284 weeks
2111.78369 -.32088 (211*2π)/9284 weeks
2121.75599 .05833 (212*2π)/9284 weeks
2131.855 -.17233 (213*2π)/9284 weeks
2142.12864 -.05108 (214*2π)/9284 weeks
2152.24465 .06613 (215*2π)/9284 weeks
2162.50711 .04661 (216*2π)/9284 weeks
2172.77996 .13732 (217*2π)/9284 weeks
2183.10297 .6615 (218*2π)/9284 weeks
2192.89031 1.04866 (219*2π)/9284 weeks
2203.18603 1.29609 (220*2π)/9284 weeks
2212.89878 1.7463 (221*2π)/9284 weeks
2222.77041 1.74729 (222*2π)/9284 weeks
2232.76961 2.33635 (223*2π)/9284 weeks
2242.21844 2.33234 (224*2π)/9284 weeks
2252.25864 2.47392 (225*2π)/9284 weeks
2261.93342 2.62303 (226*2π)/9284 weeks
2271.89856 2.47266 (227*2π)/9284 weeks
2281.67738 2.71187 (228*2π)/9284 weeks
2291.21455 2.77232 (229*2π)/9284 weeks
230.8206 2.45878 (230*2π)/9284 weeks
2311.06166 2.30779 (231*2π)/9284 weeks
232.65663 2.35919 (232*2π)/9284 weeks
233.78928 1.92576 (233*2π)/9284 weeks
234.69438 2.19879 (234*2π)/9284 weeks
235.38599 1.84476 (235*2π)/9284 weeks
236.61139 1.41984 (236*2π)/9284 weeks
237.84271 1.31968 (237*2π)/9284 weeks
2381.15047 .96874 (238*2π)/9284 weeks
2391.5748 1.32142 (239*2π)/9284 weeks
2401.4683 1.56386 (240*2π)/9284 weeks
2411.49887 1.64181 (241*2π)/9284 weeks
2421.60751 1.89172 (242*2π)/9284 weeks
2431.34685 2.1506 (243*2π)/9284 weeks
2441.23729 2.03545 (244*2π)/9284 weeks
2451.31937 2.0328 (245*2π)/9284 weeks
2461.37517 2.03917 (246*2π)/9284 weeks
2471.48549 2.22466 (247*2π)/9284 weeks
2481.45151 2.4444 (248*2π)/9284 weeks
2491.27378 2.88472 (249*2π)/9284 weeks
250.7024 3.08928 (250*2π)/9284 weeks
251.68872 2.96191 (251*2π)/9284 weeks
252.30567 3.10991 (252*2π)/9284 weeks
253-.08664 2.96652 (253*2π)/9284 weeks
254-.40933 2.78353 (254*2π)/9284 weeks
255-.59223 2.5357 (255*2π)/9284 weeks
256-.83682 2.21606 (256*2π)/9284 weeks
257-.73582 1.89399 (257*2π)/9284 weeks
258-.93339 1.68465 (258*2π)/9284 weeks
259-.98884 1.42965 (259*2π)/9284 weeks
260-.71025 1.20065 (260*2π)/9284 weeks
261-.90138 1.09332 (261*2π)/9284 weeks
262-.59465 .74162 (262*2π)/9284 weeks
263-.60652 .90206 (263*2π)/9284 weeks
264-.52321 .78043 (264*2π)/9284 weeks
265-.42674 .63155 (265*2π)/9284 weeks
266-.38218 .41264 (266*2π)/9283 weeks
267-.06825 .33422 (267*2π)/9283 weeks
268.21142 .42325 (268*2π)/9283 weeks
269.1485 .54913 (269*2π)/9283 weeks
270.27721 .71939 (270*2π)/9283 weeks
271-.04086 .83211 (271*2π)/9283 weeks
272-.04413 .58665 (272*2π)/9283 weeks
273-.19823 .4917 (273*2π)/9283 weeks
274.16273 .15664 (274*2π)/9283 weeks
275.1405 .23457 (275*2π)/9283 weeks
276.41259 .08256 (276*2π)/9283 weeks
277.70514 .40231 (277*2π)/9283 weeks
278.57468 .693 (278*2π)/9283 weeks
279.46936 .79946 (279*2π)/9283 weeks
280.07769 .79061 (280*2π)/9283 weeks
281.11488 .48759 (281*2π)/9283 weeks
282.14734 .65572 (282*2π)/9283 weeks
283.17427 .50873 (283*2π)/9283 weeks
284.17696 .69483 (284*2π)/9283 weeks
285-.20562 .50532 (285*2π)/9283 weeks
286-.09712 .29187 (286*2π)/9283 weeks
287-.05052 .16712 (287*2π)/9283 weeks
288.07629 .06554 (288*2π)/9283 weeks
289.03983 .12728 (289*2π)/9283 weeks
290-.01154 -.06172 (290*2π)/9283 weeks
291.02823 -.13693 (291*2π)/9283 weeks
292.00443 -.19124 (292*2π)/9283 weeks
293.12835 -.58395 (293*2π)/9283 weeks
294.38916 -.54328 (294*2π)/9283 weeks
295.4781 -.62179 (295*2π)/9283 weeks
296.70475 -.61408 (296*2π)/9283 weeks
297.73211 -.68003 (297*2π)/9283 weeks
2981.02173 -.52098 (298*2π)/9283 weeks
299.70571 -.65347 (299*2π)/9283 weeks
3001.08917 -.94594 (300*2π)/9283 weeks
3011.19466 -.8953 (301*2π)/9283 weeks
3021.67313 -.82881 (302*2π)/9283 weeks
3031.81824 -.62638 (303*2π)/9283 weeks
3042.15682 -.3811 (304*2π)/9283 weeks
3052.11746 .0482 (305*2π)/9283 weeks
3062.1382 .24049 (306*2π)/9283 weeks
3072.09507 .61065 (307*2π)/9283 weeks
3081.80489 .8646 (308*2π)/9283 weeks
3091.59205 .69517 (309*2π)/9283 weeks
3101.64452 .72405 (310*2π)/9283 weeks
3111.58794 .89093 (311*2π)/9283 weeks
3121.63683 1.17459 (312*2π)/9283 weeks
3131.07482 1.36554 (313*2π)/9283 weeks
314.7682 .93847 (314*2π)/9283 weeks
315.87789 .96856 (315*2π)/9283 weeks
316.59732 .67257 (316*2π)/9283 weeks
317.81524 .45184 (317*2π)/9283 weeks
3181.00538 .41973 (318*2π)/9283 weeks
3191.21786 .57186 (319*2π)/9283 weeks
3201.05579 .88639 (320*2π)/9283 weeks
321.82007 .99177 (321*2π)/9283 weeks
322.70932 .83694 (322*2π)/9283 weeks
323.76598 .83512 (323*2π)/9283 weeks
324.68795 .82419 (324*2π)/9283 weeks
325.66314 .83903 (325*2π)/9283 weeks
326.39202 .87929 (326*2π)/9283 weeks
327.05795 .73704 (327*2π)/9283 weeks
328.10357 .38305 (328*2π)/9283 weeks
329.01189 -.02585 (329*2π)/9283 weeks
330.43086 -.19976 (330*2π)/9283 weeks
331.54709 -.42411 (331*2π)/9283 weeks
332.89525 -.32614 (332*2π)/9283 weeks
3331.01093 -.14219 (333*2π)/9283 weeks
3341.19546 -.08361 (334*2π)/9283 weeks
3351.15402 .18182 (335*2π)/9283 weeks
3361.1233 .31558 (336*2π)/9283 weeks
337.99952 .28383 (337*2π)/9283 weeks
338.9272 .7286 (338*2π)/9283 weeks
339.75262 .41345 (339*2π)/9283 weeks
340.68331 .59266 (340*2π)/9283 weeks
341.29203 .5373 (341*2π)/9283 weeks
342.32588 .03433 (342*2π)/9283 weeks
343.42188 -.27273 (343*2π)/9283 weeks
344.65671 -.31159 (344*2π)/9283 weeks
345.98042 -.48829 (345*2π)/9283 weeks
3461.08925 -.25922 (346*2π)/9283 weeks
3471.14778 -.04258 (347*2π)/9283 weeks
3481.20993 -.10685 (348*2π)/9283 weeks
3491.28642 .30008 (349*2π)/9283 weeks
3501.13842 .29725 (350*2π)/9283 weeks
3511.09403 .61386 (351*2π)/9283 weeks
352.64291 .59247 (352*2π)/9283 weeks
353.53661 .4412 (353*2π)/9283 weeks
354.39567 .31046 (354*2π)/9283 weeks
355.2985 .23324 (355*2π)/9283 weeks
356.19629 -.10683 (356*2π)/9283 weeks
357.28913 -.33664 (357*2π)/9283 weeks
358.23699 -.57378 (358*2π)/9283 weeks
359.63853 -.85798 (359*2π)/9283 weeks
360.89213 -.99022 (360*2π)/9283 weeks
3611.22026 -.93439 (361*2π)/9283 weeks
3621.50481 -.649 (362*2π)/9283 weeks
3631.67207 -.60826 (363*2π)/9283 weeks
3641.89366 -.17799 (364*2π)/9283 weeks
3651.66184 .15595 (365*2π)/9283 weeks
3661.48725 .17962 (366*2π)/9283 weeks
3671.39619 .21719 (367*2π)/9283 weeks
3681.29206 .45694 (368*2π)/9283 weeks
3691.06477 .3505 (369*2π)/9283 weeks
370.98659 .37463 (370*2π)/9283 weeks
371.74359 .34257 (371*2π)/9283 weeks
372.68637 .1075 (372*2π)/9282 weeks
373.59308 .15551 (373*2π)/9282 weeks
374.45089 -.11467 (374*2π)/9282 weeks
375.66165 -.18312 (375*2π)/9282 weeks
376.45774 -.15521 (376*2π)/9282 weeks
377.4788 -.39958 (377*2π)/9282 weeks
378.51679 -.45429 (378*2π)/9282 weeks
379.50622 -.66613 (379*2π)/9282 weeks
380.63133 -.97126 (380*2π)/9282 weeks
381.99684 -.91776 (381*2π)/9282 weeks
3821.04476 -.95148 (382*2π)/9282 weeks
3831.12928 -.86324 (383*2π)/9282 weeks
3841.08436 -1.01427 (384*2π)/9282 weeks
3851.42857 -1.05405 (385*2π)/9282 weeks
3861.36933 -.9817 (386*2π)/9282 weeks
3871.58403 -1.03968 (387*2π)/9282 weeks
3881.70713 -.98915 (388*2π)/9282 weeks
3891.93995 -.70511 (389*2π)/9282 weeks
3901.9068 -.66466 (390*2π)/9282 weeks
3912.0705 -.46486 (391*2π)/9282 weeks
3921.80011 -.32015 (392*2π)/9282 weeks
3931.95561 -.23048 (393*2π)/9282 weeks
3941.64359 -.04219 (394*2π)/9282 weeks
3951.6313 -.20063 (395*2π)/9282 weeks
3961.49578 -.18285 (396*2π)/9282 weeks
3971.43822 -.2801 (397*2π)/9282 weeks
3981.53616 -.45392 (398*2π)/9282 weeks
3991.599 -.40423 (399*2π)/9282 weeks
4001.62923 -.59517 (400*2π)/9282 weeks
4011.97251 -.65565 (401*2π)/9282 weeks
4022.10393 -.46669 (402*2π)/9282 weeks
4032.14848 -.31572 (403*2π)/9282 weeks
4042.18323 -.04021 (404*2π)/9282 weeks
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8212.18419 -5.60639 (821*2π)/9281 weeks
8223.36891 -5.29541 (822*2π)/9281 weeks
8233.49842 -4.103 (823*2π)/9281 weeks
8243.692 -3.69065 (824*2π)/9281 weeks
8253.57789 -2.82055 (825*2π)/9281 weeks
8263.00622 -2.21789 (826*2π)/9281 weeks
8272.31664 -1.95233 (827*2π)/9281 weeks
8281.92738 -1.83238 (828*2π)/9281 weeks
8291.50792 -1.81913 (829*2π)/9281 weeks
8301.23062 -1.88169 (830*2π)/9281 weeks
8311.14885 -1.827 (831*2π)/9281 weeks
832.0741 -1.27428 (832*2π)/9281 weeks
833-1.12442 -1.91643 (833*2π)/9281 weeks
834-1.40408 -2.40785 (834*2π)/9281 weeks
835-1.71434 -3.17642 (835*2π)/9281 weeks
836-1.67841 -3.56375 (836*2π)/9281 weeks
837-2.22256 -4.37373 (837*2π)/9281 weeks
838-1.96388 -4.88749 (838*2π)/9281 weeks
839-1.92219 -5.6454 (839*2π)/9281 weeks
840-1.0561 -5.89674 (840*2π)/9281 weeks
841-1.57438 -5.98638 (841*2π)/9281 weeks
842-1.35759 -7.37911 (842*2π)/9281 weeks
843-.15082 -7.88031 (843*2π)/9281 weeks
844.48801 -7.60888 (844*2π)/9281 weeks
8451.21773 -7.77375 (845*2π)/9281 weeks
8462.14506 -7.00688 (846*2π)/9281 weeks
8472.12021 -6.82928 (847*2π)/9281 weeks
8482.69006 -6.44624 (848*2π)/9281 weeks
8493.13499 -6.60082 (849*2π)/9281 weeks
8502.95622 -5.4022 (850*2π)/9281 weeks
8513.21818 -6.05272 (851*2π)/9281 weeks
8524.03167 -4.55419 (852*2π)/9281 weeks
8533.24911 -3.60546 (853*2π)/9281 weeks
8543.10953 -3.4266 (854*2π)/9281 weeks
8552.36677 -3.11069 (855*2π)/9281 weeks
8562.08551 -3.3609 (856*2π)/9281 weeks
8572.18203 -2.65595 (857*2π)/9281 weeks
8581.74498 -2.44828 (858*2π)/9281 weeks
8591.57081 -1.70664 (859*2π)/9281 weeks
8601.33386 -1.13292 (860*2π)/9281 weeks
861.16072 -.224 (861*2π)/9281 weeks
862-1.25018 .09492 (862*2π)/9281 weeks
863-3.46667 .31367 (863*2π)/9281 weeks
864-4.39468 -.60618 (864*2π)/9281 weeks
865-6.14794 -.84538 (865*2π)/9281 weeks
866-7.20459 -2.40517 (866*2π)/9281 weeks
867-9.43499 -3.02568 (867*2π)/9281 weeks
868-10.66038 -6.43862 (868*2π)/9281 weeks
869-10.56549 -9.22769 (869*2π)/9281 weeks
870-9.42656 -12.80735 (870*2π)/9281 weeks
871-6.87844 -13.34336 (871*2π)/9281 weeks
872-5.24692 -15.75259 (872*2π)/9281 weeks
873-2.82858 -14.96057 (873*2π)/9281 weeks
874-1.80769 -15.48001 (874*2π)/9281 weeks
875.77925 -14.30921 (875*2π)/9281 weeks
876.42171 -13.23267 (876*2π)/9281 weeks
8771.4158 -11.92221 (877*2π)/9281 weeks
878.54049 -11.2264 (878*2π)/9281 weeks
8791.48672 -10.55124 (879*2π)/9281 weeks
8801.38617 -9.40051 (880*2π)/9281 weeks
881.13527 -7.97945 (881*2π)/9281 weeks
882-3.16664 -7.87506 (882*2π)/9281 weeks
883-3.28741 -9.20689 (883*2π)/9281 weeks
884-6.07969 -10.53733 (884*2π)/9281 weeks
885-6.50272 -12.86247 (885*2π)/9281 weeks
886-6.21058 -14.143 (886*2π)/9281 weeks
887-7.19166 -16.73617 (887*2π)/9281 weeks
888-5.34815 -19.13662 (888*2π)/9281 weeks
889-4.19542 -19.53591 (889*2π)/9281 weeks
890-3.55439 -22.36585 (890*2π)/9281 weeks
891-.21756 -23.428 (891*2π)/9281 weeks
8921.41545 -22.64941 (892*2π)/9281 weeks
8931.58471 -21.78808 (893*2π)/9281 weeks
8941.92141 -23.12387 (894*2π)/9281 weeks
8953.79431 -22.69757 (895*2π)/9281 weeks
8965.04831 -22.87854 (896*2π)/9281 weeks
8977.45223 -21.41567 (897*2π)/9281 weeks
8986.45533 -20.22642 (898*2π)/9281 weeks
8997.24509 -19.85166 (899*2π)/9281 weeks
9007.64903 -19.24337 (900*2π)/9281 weeks
9016.71543 -18.15244 (901*2π)/9281 weeks
9025.9211 -17.72252 (902*2π)/9281 weeks
9034.47671 -17.31305 (903*2π)/9281 weeks
904.09652 -19.28259 (904*2π)/9281 weeks
9053.08165 -22.35301 (905*2π)/9281 weeks
9062.35341 -23.21173 (906*2π)/9281 weeks
9073.48106 -24.98451 (907*2π)/9281 weeks
9082.30312 -24.98355 (908*2π)/9281 weeks
9093.71046 -28.6719 (909*2π)/9281 weeks
9102.31109 -28.14222 (910*2π)/9281 weeks
9114.58021 -28.75936 (911*2π)/9281 weeks
912.60056 -29.80881 (912*2π)/9281 weeks
9132.45011 -34.99915 (913*2π)/9281 weeks
9142.3821 -34.63229 (914*2π)/9281 weeks
915-1.08513 -43.48681 (915*2π)/9281 weeks
9161.03962 -46.66537 (916*2π)/9281 weeks
9173.34272 -57.41604 (917*2π)/9281 weeks
9188.85471 -63.97622 (918*2π)/9281 weeks
91916.28176 -72.0134 (919*2π)/9281 weeks
92027.41408 -80.3987 (920*2π)/9281 weeks
92141.89968 -82.52069 (921*2π)/9281 weeks
92258.69178 -90.98676 (922*2π)/9281 weeks
92387.53716 -85.01717 (923*2π)/9281 weeks
92488.95865 -65.77918 (924*2π)/9281 weeks
925108.8496 -67.08597 (925*2π)/9281 weeks
926126.9066 -37.21076 (926*2π)/9281 weeks



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