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# Fourier Analysis of LVLT (Level 3 Communications)

LVLT (Level 3 Communications) appears to have interesting cyclic behaviour every 93 weeks (64.1987*sine), 85 weeks (57.6655*sine), and 16 weeks (10.7302*cosine).

LVLT (Level 3 Communications) has an average price of 115.3 (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.

## Fourier Analysis

Using data from 1/3/2000 to 3/23/2018 for LVLT (Level 3 Communications), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0115.2987   0
1145.65 41.36089 (1*2π)/932932 weeks
2126.2812 36.76546 (2*2π)/932466 weeks
3108.8086 66.68051 (3*2π)/932311 weeks
488.66713 65.68477 (4*2π)/932233 weeks
587.88442 84.10402 (5*2π)/932186 weeks
659.16092 90.63087 (6*2π)/932155 weeks
741.94632 82.27009 (7*2π)/932133 weeks
827.80427 80.3949 (8*2π)/932117 weeks
916.54124 72.13197 (9*2π)/932104 weeks
109.06937 64.19869 (10*2π)/93293 weeks
113.71395 57.66552 (11*2π)/93285 weeks
12.83925 46.98742 (12*2π)/93278 weeks
13-.67767 43.95927 (13*2π)/93272 weeks
141.97568 34.64943 (14*2π)/93267 weeks
152.5707 35.12201 (15*2π)/93262 weeks
16.36746 30.40699 (16*2π)/93258 weeks
174.47625 28.74065 (17*2π)/93255 weeks
182.4009 28.73669 (18*2π)/93252 weeks
194.20686 28.62538 (19*2π)/93249 weeks
202.2033 25.26894 (20*2π)/93247 weeks
213.67335 24.92202 (21*2π)/93244 weeks
222.35393 23.39898 (22*2π)/93242 weeks
233.05525 22.2176 (23*2π)/93241 weeks
24-.02833 20.15404 (24*2π)/93239 weeks
254.20397 17.24051 (25*2π)/93237 weeks
265.71493 17.69332 (26*2π)/93236 weeks
276.52712 18.16356 (27*2π)/93235 weeks
287.53139 19.04221 (28*2π)/93233 weeks
297.04054 19.80945 (29*2π)/93232 weeks
306.32139 20.44545 (30*2π)/93231 weeks
317.31595 21.11471 (31*2π)/93230 weeks
325.23772 23.08013 (32*2π)/93229 weeks
333.86936 22.86634 (33*2π)/93228 weeks
342.39543 23.40881 (34*2π)/93227 weeks
351.63963 21.86224 (35*2π)/93227 weeks
361.73956 22.38304 (36*2π)/93226 weeks
37.23247 23.06485 (37*2π)/93225 weeks
38-3.11444 22.55365 (38*2π)/93225 weeks
39-4.44508 19.59753 (39*2π)/93224 weeks
40-5.09867 19.22376 (40*2π)/93223 weeks
41-7.04637 17.26193 (41*2π)/93223 weeks
42-6.5028 14.19289 (42*2π)/93222 weeks
43-6.50356 13.16664 (43*2π)/93222 weeks
44-6.23931 10.91224 (44*2π)/93221 weeks
45-3.84116 8.73643 (45*2π)/93221 weeks
46-3.74156 8.34074 (46*2π)/93220 weeks
47-.49523 7.47598 (47*2π)/93220 weeks
48.94253 8.88624 (48*2π)/93219 weeks
491.10717 10.25043 (49*2π)/93219 weeks
50.4826 11.45488 (50*2π)/93219 weeks
511.25345 11.55408 (51*2π)/93218 weeks
52.75857 13.16295 (52*2π)/93218 weeks
53.87718 13.4886 (53*2π)/93218 weeks
54-1.16935 15.33757 (54*2π)/93217 weeks
55-2.73195 14.59638 (55*2π)/93217 weeks
56-4.36104 15.47738 (56*2π)/93217 weeks
57-7.10383 13.39964 (57*2π)/93216 weeks
58-8.6117 13.21132 (58*2π)/93216 weeks
59-10.62926 9.82642 (59*2π)/93216 weeks
60-10.73022 7.05415 (60*2π)/93216 weeks
61-10.15677 3.76557 (61*2π)/93215 weeks
62-7.44848 2.3109 (62*2π)/93215 weeks
63-6.72235 1.20345 (63*2π)/93215 weeks
64-4.69211 .52682 (64*2π)/93215 weeks
65-3.84969 .0547 (65*2π)/93214 weeks
66-1.53184 -.4721 (66*2π)/93214 weeks
67-.22705 -.1468 (67*2π)/93214 weeks
681.05101 .57638 (68*2π)/93214 weeks
691.35994 1.52317 (69*2π)/93214 weeks
701.84566 2.24328 (70*2π)/93213 weeks
712.05232 2.40025 (71*2π)/93213 weeks
722.3563 3.12947 (72*2π)/93213 weeks
732.24627 2.9309 (73*2π)/93213 weeks
742.87967 3.00129 (74*2π)/93213 weeks
753.01387 3.58019 (75*2π)/93212 weeks
763.88758 4.09161 (76*2π)/93212 weeks
773.88198 5.70534 (77*2π)/93212 weeks
782.77979 5.45512 (78*2π)/93212 weeks
793.50615 5.98843 (79*2π)/93212 weeks
802.53688 6.32732 (80*2π)/93212 weeks
812.3381 6.88018 (81*2π)/93212 weeks
822.1198 6.8735 (82*2π)/93211 weeks
831.81315 7.78386 (83*2π)/93211 weeks
84.8752 7.73426 (84*2π)/93211 weeks
85.44982 7.75387 (85*2π)/93211 weeks
86-.74012 7.63289 (86*2π)/93211 weeks
87-1.5896 6.42394 (87*2π)/93211 weeks
88-1.03297 5.73062 (88*2π)/93211 weeks
89-1.48463 6.0417 (89*2π)/93210 weeks
90-1.8224 5.16445 (90*2π)/93210 weeks
91-1.85456 4.70397 (91*2π)/93210 weeks
92-1.83357 3.65139 (92*2π)/93210 weeks
93-1.59881 3.46049 (93*2π)/93210 weeks
94-1.51669 2.76147 (94*2π)/93210 weeks
95-1.02626 2.2743 (95*2π)/93210 weeks
96-.38788 1.31598 (96*2π)/93210 weeks
97.84679 1.35837 (97*2π)/93210 weeks
98.94762 1.95933 (98*2π)/93210 weeks
991.21105 2.02288 (99*2π)/9329 weeks
1001.63452 2.04224 (100*2π)/9329 weeks
1012.12105 2.17674 (101*2π)/9329 weeks
1022.69912 2.23291 (102*2π)/9329 weeks
1033.3023 2.70429 (103*2π)/9329 weeks
1043.6761 3.54217 (104*2π)/9329 weeks
1053.50433 4.28967 (105*2π)/9329 weeks
1063.79446 4.89933 (106*2π)/9329 weeks
1072.89228 5.76565 (107*2π)/9329 weeks
1082.17061 5.17309 (108*2π)/9329 weeks
1091.90257 5.4962 (109*2π)/9329 weeks
1101.63196 5.24072 (110*2π)/9328 weeks
1111.52516 5.53648 (111*2π)/9328 weeks
1121.41183 5.0165 (112*2π)/9328 weeks
1131.6776 5.33908 (113*2π)/9328 weeks
1141.16466 4.97204 (114*2π)/9328 weeks
1151.83167 5.47828 (115*2π)/9328 weeks
1161.16534 5.77427 (116*2π)/9328 weeks
1171.20159 5.84533 (117*2π)/9328 weeks
118.85402 6.04072 (118*2π)/9328 weeks
119.67152 6.07721 (119*2π)/9328 weeks
120.21129 6.13154 (120*2π)/9328 weeks
121-.16191 5.86755 (121*2π)/9328 weeks
122-.28226 5.83706 (122*2π)/9328 weeks
123-.4334 5.78687 (123*2π)/9328 weeks
124-.96084 5.60813 (124*2π)/9328 weeks
125-1.35568 5.22777 (125*2π)/9327 weeks
126-1.7613 4.97946 (126*2π)/9327 weeks
127-1.79817 4.76823 (127*2π)/9327 weeks
128-2.34952 4.10192 (128*2π)/9327 weeks
129-1.80732 3.93991 (129*2π)/9327 weeks
130-2.20418 3.14554 (130*2π)/9327 weeks
131-1.54981 2.51622 (131*2π)/9327 weeks
132-1.2455 2.59685 (132*2π)/9327 weeks
133-.43474 2.11096 (133*2π)/9327 weeks
134-.27373 2.86428 (134*2π)/9327 weeks
135-.15192 2.81631 (135*2π)/9327 weeks
136-.38298 2.99764 (136*2π)/9327 weeks
137-.16257 2.85683 (137*2π)/9327 weeks
138.16563 3.4795 (138*2π)/9327 weeks
139-.52003 3.50906 (139*2π)/9327 weeks
140-.49006 3.58146 (140*2π)/9327 weeks
141-.70618 3.88061 (141*2π)/9327 weeks
142-.90969 3.81774 (142*2π)/9327 weeks
143-1.53276 4.111 (143*2π)/9327 weeks
144-2.34104 3.42687 (144*2π)/9326 weeks
145-2.39519 2.94227 (145*2π)/9326 weeks
146-2.15237 2.65265 (146*2π)/9326 weeks
147-2.19553 1.96761 (147*2π)/9326 weeks
148-1.94098 1.91879 (148*2π)/9326 weeks
149-2.07157 1.41824 (149*2π)/9326 weeks
150-1.93761 1.24063 (150*2π)/9326 weeks
151-2.27434 .84476 (151*2π)/9326 weeks
152-1.46133 .22485 (152*2π)/9326 weeks
153-1.4966 .31758 (153*2π)/9326 weeks
154-.94822 -.31135 (154*2π)/9326 weeks
155-.41695 .19374 (155*2π)/9326 weeks
156-.51137 .01814 (156*2π)/9326 weeks
157-.22067 -.03772 (157*2π)/9326 weeks
158-.23267 -.41582 (158*2π)/9326 weeks
159.50311 -.38952 (159*2π)/9326 weeks
160.62109 -.1936 (160*2π)/9326 weeks
161.70038 -.23667 (161*2π)/9326 weeks
162.99921 -.4781 (162*2π)/9326 weeks
1631.3627 -.63603 (163*2π)/9326 weeks
1641.79572 -.51764 (164*2π)/9326 weeks
1652.30693 -.11191 (165*2π)/9326 weeks
1662.47347 .26334 (166*2π)/9326 weeks
1672.73861 .44793 (167*2π)/9326 weeks
1683.22398 .835 (168*2π)/9326 weeks
1693.15746 1.49074 (169*2π)/9326 weeks
1703.17227 1.8785 (170*2π)/9325 weeks
1713.17261 2.36561 (171*2π)/9325 weeks
1723.1841 2.64878 (172*2π)/9325 weeks
1732.74583 3.44961 (173*2π)/9325 weeks
1742.08807 3.62406 (174*2π)/9325 weeks
1751.69975 3.73335 (175*2π)/9325 weeks
1761.35123 4.05745 (176*2π)/9325 weeks
177.51026 3.96291 (177*2π)/9325 weeks
178.12467 3.62757 (178*2π)/9325 weeks
179-.36631 3.32393 (179*2π)/9325 weeks
180-.30446 2.9006 (180*2π)/9325 weeks
181-.55228 2.7877 (181*2π)/9325 weeks
182-.69663 2.294 (182*2π)/9325 weeks
183-.69083 1.75758 (183*2π)/9325 weeks
184-.52606 1.65977 (184*2π)/9325 weeks
185-.72995 1.14959 (185*2π)/9325 weeks
186.16203 .83421 (186*2π)/9325 weeks
187.25438 1.10721 (187*2π)/9325 weeks
188.53932 .73922 (188*2π)/9325 weeks
189.90653 1.04409 (189*2π)/9325 weeks
1901.17357 1.22715 (190*2π)/9325 weeks
1911.30483 1.71658 (191*2π)/9325 weeks
192.82302 1.9971 (192*2π)/9325 weeks
193.6893 2.24124 (193*2π)/9325 weeks
194.26249 2.05712 (194*2π)/9325 weeks
195.19076 2.07311 (195*2π)/9325 weeks
196-.03881 2.17086 (196*2π)/9325 weeks
197-.20434 2.08561 (197*2π)/9325 weeks
198-.32514 2.04816 (198*2π)/9325 weeks
199-.93094 1.62892 (199*2π)/9325 weeks
200-.88844 .87417 (200*2π)/9325 weeks
201-.50601 .86174 (201*2π)/9325 weeks
202-.92155 .47105 (202*2π)/9325 weeks
203-.50929 .04066 (203*2π)/9325 weeks
204.0095 -.01259 (204*2π)/9325 weeks
205-.01186 -.10037 (205*2π)/9325 weeks
206.24397 -.26626 (206*2π)/9325 weeks
207.37262 -.21672 (207*2π)/9325 weeks
208.54468 -.35552 (208*2π)/9324 weeks
209.81704 -.4018 (209*2π)/9324 weeks
2101.20214 -.4245 (210*2π)/9324 weeks
2111.14359 -.51905 (211*2π)/9324 weeks
2121.6666 -.30637 (212*2π)/9324 weeks
2131.58099 .02831 (213*2π)/9324 weeks
2141.74312 -.19695 (214*2π)/9324 weeks
2152.00153 -.07185 (215*2π)/9324 weeks
2162.11361 .02729 (216*2π)/9324 weeks
2172.4018 .01586 (217*2π)/9324 weeks
2182.69848 .0894 (218*2π)/9324 weeks
2192.98839 .61883 (219*2π)/9324 weeks
2202.76822 .9517 (220*2π)/9324 weeks
2213.07373 1.24048 (221*2π)/9324 weeks
2222.78071 1.6509 (222*2π)/9324 weeks
2232.68815 1.63855 (223*2π)/9324 weeks
2242.65472 2.23463 (224*2π)/9324 weeks
2252.13393 2.19358 (225*2π)/9324 weeks
2262.17382 2.35118 (226*2π)/9324 weeks
2271.85556 2.48756 (227*2π)/9324 weeks
2281.84642 2.34375 (228*2π)/9324 weeks
2291.62978 2.57398 (229*2π)/9324 weeks
2301.1771 2.62522 (230*2π)/9324 weeks
231.79786 2.30801 (231*2π)/9324 weeks
2321.04793 2.16416 (232*2π)/9324 weeks
233.6542 2.21418 (233*2π)/9324 weeks
234.79426 1.78339 (234*2π)/9324 weeks
235.71656 2.05742 (235*2π)/9324 weeks
236.417 1.71256 (236*2π)/9324 weeks
237.64489 1.28609 (237*2π)/9324 weeks
238.88725 1.18499 (238*2π)/9324 weeks
2391.17889 .83878 (239*2π)/9324 weeks
2401.62369 1.18187 (240*2π)/9324 weeks
2411.52908 1.44477 (241*2π)/9324 weeks
2421.56422 1.52947 (242*2π)/9324 weeks
2431.68771 1.77202 (243*2π)/9324 weeks
2441.45419 2.05289 (244*2π)/9324 weeks
2451.33666 1.94455 (245*2π)/9324 weeks
2461.42188 1.93477 (246*2π)/9324 weeks
2471.4695 1.94837 (247*2π)/9324 weeks
2481.58654 2.1285 (248*2π)/9324 weeks
2491.55087 2.36234 (249*2π)/9324 weeks
2501.41404 2.80857 (250*2π)/9324 weeks
251.88262 3.06756 (251*2π)/9324 weeks
252.82799 2.88526 (252*2π)/9324 weeks
253.47169 3.06614 (253*2π)/9324 weeks
254.06436 2.9494 (254*2π)/9324 weeks
255-.25527 2.78871 (255*2π)/9324 weeks
256-.45062 2.53879 (256*2π)/9324 weeks
257-.70657 2.25989 (257*2π)/9324 weeks
258-.64678 1.90467 (258*2π)/9324 weeks
259-.83839 1.76969 (259*2π)/9324 weeks
260-.87666 1.53939 (260*2π)/9324 weeks
261-.63582 1.24687 (261*2π)/9324 weeks
262-.78858 1.23302 (262*2π)/9324 weeks
263-.56569 .8375 (263*2π)/9324 weeks
264-.4727 1.0371 (264*2π)/9324 weeks
265-.4077 .88499 (265*2π)/9324 weeks
266-.34374 .72618 (266*2π)/9324 weeks
267-.33222 .55464 (267*2π)/9323 weeks
268-.03328 .42781 (268*2π)/9323 weeks
269.2253 .47878 (269*2π)/9323 weeks
270.18547 .67941 (270*2π)/9323 weeks
271.31806 .78086 (271*2π)/9323 weeks
272.05008 .97903 (272*2π)/9323 weeks
273-.052 .70932 (273*2π)/9323 weeks
274-.15503 .67588 (274*2π)/9323 weeks
275.04486 .24669 (275*2π)/9323 weeks
276.11099 .41301 (276*2π)/9323 weeks
277.29626 .2295 (277*2π)/9323 weeks
278.65089 .46097 (278*2π)/9323 weeks
279.56891 .79531 (279*2π)/9323 weeks
280.4283 .88686 (280*2π)/9323 weeks
281.08268 .99849 (281*2π)/9323 weeks
282.00406 .67229 (282*2π)/9323 weeks
283.16152 .76747 (283*2π)/9323 weeks
284.07782 .61266 (284*2π)/9323 weeks
285.14584 .72468 (285*2π)/9323 weeks
286-.25379 .70693 (286*2π)/9323 weeks
287-.1962 .39039 (287*2π)/9323 weeks
288-.16252 .26017 (288*2π)/9323 weeks
289-.08125 .12522 (289*2π)/9323 weeks
290-.04627 .18833 (290*2π)/9323 weeks
291-.15853 .04483 (291*2π)/9323 weeks
292-.09033 -.05815 (292*2π)/9323 weeks
293-.06595 -.13854 (293*2π)/9323 weeks
294-.10871 -.49118 (294*2π)/9323 weeks
295.23042 -.55784 (295*2π)/9323 weeks
296.29801 -.59777 (296*2π)/9323 weeks
297.5048 -.67278 (297*2π)/9323 weeks
298.53051 -.64402 (298*2π)/9323 weeks
299.82191 -.67545 (299*2π)/9323 weeks
300.55823 -.51902 (300*2π)/9323 weeks
301.7586 -.93657 (301*2π)/9323 weeks
3021.03169 -.80667 (302*2π)/9323 weeks
3031.43699 -.93459 (303*2π)/9323 weeks
3041.66459 -.67069 (304*2π)/9323 weeks
3051.95911 -.54992 (305*2π)/9323 weeks
3062.08487 -.08562 (306*2π)/9323 weeks
3072.04438 .09275 (307*2π)/9323 weeks
3082.08394 .39725 (308*2π)/9323 weeks
3091.86416 .69309 (309*2π)/9323 weeks
3101.51041 .65144 (310*2π)/9323 weeks
3111.56355 .60366 (311*2π)/9323 weeks
3121.59589 .75576 (312*2π)/9323 weeks
3131.62879 .86491 (313*2π)/9323 weeks
3141.25323 1.25919 (314*2π)/9323 weeks
315.75539 1.00184 (315*2π)/9323 weeks
316.91422 .75825 (316*2π)/9323 weeks
317.61709 .7336 (317*2π)/9323 weeks
318.74514 .3727 (318*2π)/9323 weeks
319.95018 .31397 (319*2π)/9323 weeks
3201.17937 .38123 (320*2π)/9323 weeks
3211.24462 .73443 (321*2π)/9323 weeks
3221.06392 .84663 (322*2π)/9323 weeks
323.8357 .72664 (323*2π)/9323 weeks
324.85812 .61486 (324*2π)/9323 weeks
325.77964 .65873 (325*2π)/9323 weeks
326.72309 .65298 (326*2π)/9323 weeks
327.58258 .79346 (327*2π)/9323 weeks
328.32765 .73103 (328*2π)/9323 weeks
329.13888 .30977 (329*2π)/9323 weeks
330.06223 .11933 (330*2π)/9323 weeks
331.35163 -.32159 (331*2π)/9323 weeks
332.48112 -.31013 (332*2π)/9323 weeks
333.89894 -.40509 (333*2π)/9323 weeks
3341.12635 -.22993 (334*2π)/9323 weeks
3351.19685 -.16256 (335*2π)/9323 weeks
3361.35249 .11577 (336*2π)/9323 weeks
3371.29343 .24281 (337*2π)/9323 weeks
3381.17151 .3857 (338*2π)/9323 weeks
3391.35382 .47202 (339*2π)/9323 weeks
340.82987 .5069 (340*2π)/9323 weeks
341.94504 .49503 (341*2π)/9323 weeks
342.65857 .58745 (342*2π)/9323 weeks
343.29521 .18166 (343*2π)/9323 weeks
344.40535 -.04852 (344*2π)/9323 weeks
345.68828 -.25934 (345*2π)/9323 weeks
346.80174 -.36065 (346*2π)/9323 weeks
3471.19461 -.1855 (347*2π)/9323 weeks
3481.30716 -.06133 (348*2π)/9323 weeks
3491.21983 .0349 (349*2π)/9323 weeks
3501.48562 .15435 (350*2π)/9323 weeks
3511.24187 .4148 (351*2π)/9323 weeks
3521.28858 .49574 (352*2π)/9323 weeks
353.93983 .78029 (353*2π)/9323 weeks
354.66137 .56891 (354*2π)/9323 weeks
355.52684 .47802 (355*2π)/9323 weeks
356.42727 .32675 (356*2π)/9323 weeks
357.19788 .17328 (357*2π)/9323 weeks
358.22478 -.12318 (358*2π)/9323 weeks
359.28289 -.26898 (359*2π)/9323 weeks
360.35703 -.69778 (360*2π)/9323 weeks
361.67138 -.75309 (361*2π)/9323 weeks
3621.03515 -.82875 (362*2π)/9323 weeks
3631.37301 -.75365 (363*2π)/9323 weeks
3641.4286 -.52049 (364*2π)/9323 weeks
3651.73174 -.35874 (365*2π)/9323 weeks
3661.7113 .13042 (366*2π)/9323 weeks
3671.43411 .30689 (367*2π)/9323 weeks
3681.33377 .34824 (368*2π)/9323 weeks
3691.31674 .40209 (369*2π)/9323 weeks
3701.01337 .55201 (370*2π)/9323 weeks
371.92127 .46098 (371*2π)/9323 weeks
372.77705 .50872 (372*2π)/9323 weeks
373.54502 .36133 (373*2π)/9322 weeks
374.60674 .23153 (374*2π)/9322 weeks
375.39481 .16869 (375*2π)/9322 weeks
376.423 -.15361 (376*2π)/9322 weeks
377.51839 -.06134 (377*2π)/9322 weeks
378.3091 -.2445 (378*2π)/9322 weeks
379.38717 -.42462 (379*2π)/9322 weeks
380.33506 -.51505 (380*2π)/9322 weeks
381.36088 -.74179 (381*2π)/9322 weeks
382.63935 -1.02869 (382*2π)/9322 weeks
383.81968 -.87364 (383*2π)/9322 weeks
384.96086 -.91971 (384*2π)/9322 weeks
385.95337 -.86126 (385*2π)/9322 weeks
3861.04523 -1.10228 (386*2π)/9322 weeks
3871.32618 -.95542 (387*2π)/9322 weeks
3881.32373 -1.05756 (388*2π)/9322 weeks
3891.55513 -1.03458 (389*2π)/9322 weeks
3901.74786 -1.04262 (390*2π)/9322 weeks
3911.787 -.73164 (391*2π)/9322 weeks
3921.86515 -.71675 (392*2π)/9322 weeks
3931.95123 -.40635 (393*2π)/9322 weeks
3941.77049 -.47605 (394*2π)/9322 weeks
3951.85552 -.22333 (395*2π)/9322 weeks
3961.52245 -.23941 (396*2π)/9322 weeks
3971.57703 -.2814 (397*2π)/9322 weeks
3981.44674 -.35326 (398*2π)/9322 weeks
3991.3899 -.48093 (399*2π)/9322 weeks
4001.54611 -.58682 (400*2π)/9322 weeks
4011.53317 -.56118 (401*2π)/9322 weeks
4021.66477 -.76144 (402*2π)/9322 weeks
4032.02783 -.68259 (403*2π)/9322 weeks
4042.15392 -.51351 (404*2π)/9322 weeks
4052.23576 -.39254 (405*2π)/9322 weeks
4062.18993 -.14392 (406*2π)/9322 weeks
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