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Fourier Analysis of LVLT (Level 3 Communications, Inc. Co)


LVLT (Level 3 Communications, Inc. Co) appears to have interesting cyclic behaviour every 89 weeks (29.4353*sine), 45 weeks (28.2154*sine), and 98 weeks (27.8961*sine).

LVLT (Level 3 Communications, Inc. Co) has an average price of 180.38 (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 3/31/1998 to 1/17/2017 for LVLT (Level 3 Communications, Inc. Co), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0180.3823   0 
1224.3313 154.5094 (1*2π)/981981 weeks
2114.4764 203.7339 (2*2π)/981491 weeks
3-20.62523 198.2492 (3*2π)/981327 weeks
4-87.77426 124.0253 (4*2π)/981245 weeks
5-120.06 43.08889 (5*2π)/981196 weeks
6-71.94338 -32.73515 (6*2π)/981164 weeks
7-14.60327 -41.29315 (7*2π)/981140 weeks
822.6926 -24.31897 (8*2π)/981123 weeks
929.54721 8.6515 (9*2π)/981109 weeks
1014.89888 27.89613 (10*2π)/98198 weeks
11-4.77284 29.4353 (11*2π)/98189 weeks
12-19.46746 16.54607 (12*2π)/98182 weeks
13-17.44143 3.12536 (13*2π)/98175 weeks
14-10.29355 -10.42999 (14*2π)/98170 weeks
15-2.08042 -9.73501 (15*2π)/98165 weeks
167.55615 -12.79535 (16*2π)/98161 weeks
1716.33549 -4.92424 (17*2π)/98158 weeks
1819.99607 -.77126 (18*2π)/98155 weeks
1922.85945 10.63756 (19*2π)/98152 weeks
2021.09461 19.37417 (20*2π)/98149 weeks
2110.66503 25.68404 (21*2π)/98147 weeks
222.66156 28.21539 (22*2π)/98145 weeks
23-7.8294 25.20814 (23*2π)/98143 weeks
24-14.00581 19.41442 (24*2π)/98141 weeks
25-17.30426 9.37671 (25*2π)/98139 weeks
26-15.90181 6.44002 (26*2π)/98138 weeks
27-16.17262 -1.26463 (27*2π)/98136 weeks
28-11.29332 -8.26668 (28*2π)/98135 weeks
29-3.43257 -11.45466 (29*2π)/98134 weeks
305.4877 -9.04561 (30*2π)/98133 weeks
319.97923 -2.47009 (31*2π)/98132 weeks
329.02658 4.01581 (32*2π)/98131 weeks
334.93751 10.16661 (33*2π)/98130 weeks
34-2.94325 8.93909 (34*2π)/98129 weeks
35-6.33502 3.78358 (35*2π)/98128 weeks
36-5.11603 -2.97565 (36*2π)/98127 weeks
37-.20515 -4.86961 (37*2π)/98127 weeks
384.46852 -5.09731 (38*2π)/98126 weeks
399.60804 -1.30405 (39*2π)/98125 weeks
4010.44501 7.42905 (40*2π)/98125 weeks
413.03291 12.45972 (41*2π)/98124 weeks
42-3.50806 12.22386 (42*2π)/98123 weeks
43-10.27759 7.21439 (43*2π)/98123 weeks
44-10.12391 -1.80856 (44*2π)/98122 weeks
45-5.99386 -6.60923 (45*2π)/98122 weeks
46.57247 -8.59734 (46*2π)/98121 weeks
476.19586 -5.05344 (47*2π)/98121 weeks
486.44609 -2.07786 (48*2π)/98120 weeks
495.06356 1.7343 (49*2π)/98120 weeks
503.83491 .18134 (50*2π)/98120 weeks
515.83011 -.00101 (51*2π)/98119 weeks
527.0907 2.57103 (52*2π)/98119 weeks
534.8621 5.55597 (53*2π)/98119 weeks
542.738 6.85923 (54*2π)/98118 weeks
55-1.44023 5.84439 (55*2π)/98118 weeks
56-3.06658 3.25286 (56*2π)/98118 weeks
57-2.47294 -2.43348 (57*2π)/98117 weeks
582.92236 -3.94613 (58*2π)/98117 weeks
597.95273 -2.70759 (59*2π)/98117 weeks
6010.7845 4.76918 (60*2π)/98116 weeks
618.11771 10.28055 (61*2π)/98116 weeks
62-.28548 13.93951 (62*2π)/98116 weeks
63-7.92749 9.12791 (63*2π)/98116 weeks
64-10.08511 .1017 (64*2π)/98115 weeks
65-3.55949 -6.97342 (65*2π)/98115 weeks
663.3134 -7.25711 (66*2π)/98115 weeks
679.34457 -2.94485 (67*2π)/98115 weeks
6810.15551 2.93938 (68*2π)/98114 weeks
698.00489 8.50035 (69*2π)/98114 weeks
702.65301 9.93667 (70*2π)/98114 weeks
71-1.53996 8.15227 (71*2π)/98114 weeks
72-2.73352 4.68439 (72*2π)/98114 weeks
73-2.04497 2.66404 (73*2π)/98113 weeks
74-.59995 2.07402 (74*2π)/98113 weeks
75.48206 2.05935 (75*2π)/98113 weeks
76.61848 3.18269 (76*2π)/98113 weeks
77.47742 3.43087 (77*2π)/98113 weeks
78-.24951 4.20443 (78*2π)/98113 weeks
79-1.70999 3.54299 (79*2π)/98112 weeks
80-3.06309 2.25798 (80*2π)/98112 weeks
81-2.44524 -.85725 (81*2π)/98112 weeks
82.42305 -.7587 (82*2π)/98112 weeks
831.65522 -.56095 (83*2π)/98112 weeks
842.79285 1.88534 (84*2π)/98112 weeks
852.03852 3.40371 (85*2π)/98112 weeks
86.02266 3.74861 (86*2π)/98111 weeks
87-1.2821 3.15266 (87*2π)/98111 weeks
88-2.37509 .83436 (88*2π)/98111 weeks
89-.94478 -1.2885 (89*2π)/98111 weeks
901.35372 -2.33516 (90*2π)/98111 weeks
914.68818 -1.05897 (91*2π)/98111 weeks
925.36121 2.8427 (92*2π)/98111 weeks
933.67074 4.82426 (93*2π)/98111 weeks
941.79517 6.64277 (94*2π)/98110 weeks
95-1.26914 6.33829 (95*2π)/98110 weeks
96-3.26771 4.70804 (96*2π)/98110 weeks
97-3.63314 1.84666 (97*2π)/98110 weeks
98-2.78101 .28754 (98*2π)/98110 weeks
99-1.15227 -.59465 (99*2π)/98110 weeks
100.02369 .01249 (100*2π)/98110 weeks
101.45275 1.23821 (101*2π)/98110 weeks
102-1.08185 1.38644 (102*2π)/98110 weeks
103-1.0454 -.51613 (103*2π)/98110 weeks
104.15043 -1.51327 (104*2π)/9819 weeks
1051.8425 -1.60656 (105*2π)/9819 weeks
1063.49042 -.56844 (106*2π)/9819 weeks
1074.17143 1.3972 (107*2π)/9819 weeks
1083.77691 3.69164 (108*2π)/9819 weeks
1091.81215 5.52435 (109*2π)/9819 weeks
110-1.22196 5.48552 (110*2π)/9819 weeks
111-3.08514 3.50835 (111*2π)/9819 weeks
112-3.96372 .54193 (112*2π)/9819 weeks
113-1.68174 -1.83224 (113*2π)/9819 weeks
114.02853 -1.62055 (114*2π)/9819 weeks
1151.66974 -.74599 (115*2π)/9819 weeks
1161.93345 .3906 (116*2π)/9818 weeks
1171.92833 1.64627 (117*2π)/9818 weeks
1181.1989 1.78242 (118*2π)/9818 weeks
119.75424 2.29236 (119*2π)/9818 weeks
120.07218 1.42123 (120*2π)/9818 weeks
121-.18872 1.6346 (121*2π)/9818 weeks
122-.14345 .35734 (122*2π)/9818 weeks
123.73851 .20467 (123*2π)/9818 weeks
1241.82495 .48113 (124*2π)/9818 weeks
1252.32857 1.80338 (125*2π)/9818 weeks
1261.92404 3.31773 (126*2π)/9818 weeks
127.17629 4.28593 (127*2π)/9818 weeks
128-1.70471 3.54522 (128*2π)/9818 weeks
129-2.78117 1.92631 (129*2π)/9818 weeks
130-2.78364 .11764 (130*2π)/9818 weeks
131-1.4179 -1.5782 (131*2π)/9817 weeks
132.85791 -1.80642 (132*2π)/9817 weeks
1332.8885 -.56282 (133*2π)/9817 weeks
1343.40135 1.35916 (134*2π)/9817 weeks
1352.66046 3.95921 (135*2π)/9817 weeks
136.70143 4.44012 (136*2π)/9817 weeks
137-1.78645 4.47369 (137*2π)/9817 weeks
138-3.22924 2.2854 (138*2π)/9817 weeks
139-2.939 .62881 (139*2π)/9817 weeks
140-1.56182 -.90478 (140*2π)/9817 weeks
141-.84828 -.3992 (141*2π)/9817 weeks
142-.33091 -.57001 (142*2π)/9817 weeks
143-.00659 -.8304 (143*2π)/9817 weeks
144.84849 -.45839 (144*2π)/9817 weeks
145.8187 .05643 (145*2π)/9817 weeks
1461.58778 .49793 (146*2π)/9817 weeks
147.95355 1.52137 (147*2π)/9817 weeks
148.03992 1.7464 (148*2π)/9817 weeks
149-1.07395 1.46282 (149*2π)/9817 weeks
150-1.40979 .44028 (150*2π)/9817 weeks
151-1.67614 -.86411 (151*2π)/9816 weeks
152-.03078 -2.52666 (152*2π)/9816 weeks
1532.25783 -2.33461 (153*2π)/9816 weeks
1543.42715 -.67773 (154*2π)/9816 weeks
1553.43489 1.77664 (155*2π)/9816 weeks
1561.81192 2.91556 (156*2π)/9816 weeks
157-.08464 3.20801 (157*2π)/9816 weeks
158-1.43464 1.97038 (158*2π)/9816 weeks
159-1.92586 .70073 (159*2π)/9816 weeks
160-1.13656 -1.65385 (160*2π)/9816 weeks
161.76838 -1.9426 (161*2π)/9816 weeks
1622.87561 -1.67788 (162*2π)/9816 weeks
1634.01695 .89712 (163*2π)/9816 weeks
1643.33214 2.66718 (164*2π)/9816 weeks
1651.87878 4.16426 (165*2π)/9816 weeks
166-.02001 4.36638 (166*2π)/9816 weeks
167-2.38486 3.80923 (167*2π)/9816 weeks
168-3.43496 1.39186 (168*2π)/9816 weeks
169-2.87052 -.7569 (169*2π)/9816 weeks
170-1.43151 -2.09858 (170*2π)/9816 weeks
171.63003 -2.5171 (171*2π)/9816 weeks
1722.66055 -1.66648 (172*2π)/9816 weeks
1733.60709 .34813 (173*2π)/9816 weeks
1742.68402 2.52259 (174*2π)/9816 weeks
175.79792 3.16707 (175*2π)/9816 weeks
176-.77931 2.64511 (176*2π)/9816 weeks
177-1.81993 1.26217 (177*2π)/9816 weeks
178-1.1324 -.38059 (178*2π)/9816 weeks
179.14864 -.86373 (179*2π)/9815 weeks
1801.29509 -.36528 (180*2π)/9815 weeks
1811.44505 .61982 (181*2π)/9815 weeks
1821.03873 1.82053 (182*2π)/9815 weeks
183-.45691 1.82561 (183*2π)/9815 weeks
184-1.04268 .71311 (184*2π)/9815 weeks
185-.62597 -.21875 (185*2π)/9815 weeks
186.32835 -1.01889 (186*2π)/9815 weeks
1871.86275 -.35863 (187*2π)/9815 weeks
1882.22141 1.18217 (188*2π)/9815 weeks
1891.16776 2.85826 (189*2π)/9815 weeks
190-.63946 2.81701 (190*2π)/9815 weeks
191-1.97029 1.97747 (191*2π)/9815 weeks
192-2.50324 .28313 (192*2π)/9815 weeks
193-1.73809 -1.509 (193*2π)/9815 weeks
194-.34402 -1.99402 (194*2π)/9815 weeks
1951.13441 -2.21684 (195*2π)/9815 weeks
1962.15351 -.59015 (196*2π)/9815 weeks
1971.77548 .16914 (197*2π)/9815 weeks
1981.48882 .93973 (198*2π)/9815 weeks
199.82508 .82487 (199*2π)/9815 weeks
200.57446 .57188 (200*2π)/9815 weeks
201.83698 .2422 (201*2π)/9815 weeks
2021.16504 .8333 (202*2π)/9815 weeks
203.85207 1.02364 (203*2π)/9815 weeks
204.15614 .81787 (204*2π)/9815 weeks
205.48109 .10596 (205*2π)/9815 weeks
2061.26139 .04169 (206*2π)/9815 weeks
2072.06887 .59651 (207*2π)/9815 weeks
2082.22218 1.79103 (208*2π)/9815 weeks
2091.56216 2.60267 (209*2π)/9815 weeks
210.39287 3.60977 (210*2π)/9815 weeks
211-1.91592 3.25345 (211*2π)/9815 weeks
212-2.68256 1.36638 (212*2π)/9815 weeks
213-2.98113 -.34679 (213*2π)/9815 weeks
214-1.72065 -2.09533 (214*2π)/9815 weeks
215.39349 -2.27299 (215*2π)/9815 weeks
2161.66822 -1.55947 (216*2π)/9815 weeks
2172.37547 -.23137 (217*2π)/9815 weeks
2181.97063 .97792 (218*2π)/9815 weeks
2191.16787 1.69249 (219*2π)/9814 weeks
220.08108 1.75047 (220*2π)/9814 weeks
221-.85153 1.14174 (221*2π)/9814 weeks
222-.79167 .2591 (222*2π)/9814 weeks
223-.38197 -.90826 (223*2π)/9814 weeks
2241.02455 -.93921 (224*2π)/9814 weeks
2251.53884 -.246 (225*2π)/9814 weeks
2261.79889 .72789 (226*2π)/9814 weeks
2271.14451 1.63495 (227*2π)/9814 weeks
228.17375 1.74232 (228*2π)/9814 weeks
229-.74302 1.32105 (229*2π)/9814 weeks
230-1.38334 .50551 (230*2π)/9814 weeks
231-1.13553 -1.01232 (231*2π)/9814 weeks
232.13418 -1.45878 (232*2π)/9814 weeks
2331.38954 -1.50225 (233*2π)/9814 weeks
2342.22604 -.30499 (234*2π)/9814 weeks
2351.97456 .59192 (235*2π)/9814 weeks
2361.4638 1.63342 (236*2π)/9814 weeks
237.18997 1.36757 (237*2π)/9814 weeks
238-.1915 .79622 (238*2π)/9814 weeks
239-.13594 -.05759 (239*2π)/9814 weeks
240.69767 -.21344 (240*2π)/9814 weeks
2411.10665 -.06603 (241*2π)/9814 weeks
2421.54952 .31833 (242*2π)/9814 weeks
2431.52175 1.21133 (243*2π)/9814 weeks
244.43174 1.42697 (244*2π)/9814 weeks
245.16701 1.05267 (245*2π)/9814 weeks
246-.26132 .37584 (246*2π)/9814 weeks
247.536 -.05468 (247*2π)/9814 weeks
248.68806 .0303 (248*2π)/9814 weeks
2491.2216 -.06669 (249*2π)/9814 weeks
2501.64989 .60004 (250*2π)/9814 weeks
2511.51153 1.20898 (251*2π)/9814 weeks
252.79896 1.96832 (252*2π)/9814 weeks
253.01586 1.52098 (253*2π)/9814 weeks
254-.01546 1.23073 (254*2π)/9814 weeks
255-.12436 1.12029 (255*2π)/9814 weeks
256-.12085 .98549 (256*2π)/9814 weeks
257-.43981 1.14601 (257*2π)/9814 weeks
258-.93323 .56085 (258*2π)/9814 weeks
259-.77411 -.27394 (259*2π)/9814 weeks
260-.06265 -.95023 (260*2π)/9814 weeks
261.93456 -.94839 (261*2π)/9814 weeks
2621.77563 -.44822 (262*2π)/9814 weeks
2632.12086 .37719 (263*2π)/9814 weeks
2642.34406 1.38758 (264*2π)/9814 weeks
2651.44554 2.97808 (265*2π)/9814 weeks
266-.05119 3.36288 (266*2π)/9814 weeks
267-1.76706 2.92465 (267*2π)/9814 weeks
268-2.87743 1.2996 (268*2π)/9814 weeks
269-2.70434 -.7074 (269*2π)/9814 weeks
270-1.32534 -1.9945 (270*2π)/9814 weeks
271.55332 -2.18932 (271*2π)/9814 weeks
2721.76749 -.91556 (272*2π)/9814 weeks
2731.98653 .48576 (273*2π)/9814 weeks
2741.27002 1.55474 (274*2π)/9814 weeks
275-.12719 1.65009 (275*2π)/9814 weeks
276-.73381 1.1384 (276*2π)/9814 weeks
277-1.23642 .10403 (277*2π)/9814 weeks
278-.59175 -.63851 (278*2π)/9814 weeks
279.11341 -1.05805 (279*2π)/9814 weeks
280.92497 -1.05494 (280*2π)/9814 weeks
2811.60922 -.64781 (281*2π)/9813 weeks
2822.2099 .32007 (282*2π)/9813 weeks
2831.96286 1.567 (283*2π)/9813 weeks
284.90245 2.21835 (284*2π)/9813 weeks
285-.26626 2.35295 (285*2π)/9813 weeks
286-1.0647 1.59571 (286*2π)/9813 weeks
287-1.44703 1.12002 (287*2π)/9813 weeks
288-1.69172 .249 (288*2π)/9813 weeks
289-1.81178 -.56669 (289*2π)/9813 weeks
290-.91907 -1.56458 (290*2π)/9813 weeks
291-.08946 -1.8875 (291*2π)/9813 weeks
2921.0544 -1.64364 (292*2π)/9813 weeks
2931.38351 -.79763 (293*2π)/9813 weeks
2941.34931 -.46722 (294*2π)/9813 weeks
2951.39781 -.14436 (295*2π)/9813 weeks
2961.64431 .22259 (296*2π)/9813 weeks
2971.18288 .93012 (297*2π)/9813 weeks
298.65035 .77374 (298*2π)/9813 weeks
299.20355 .49049 (299*2π)/9813 weeks
300.4448 -.01032 (300*2π)/9813 weeks
301.63796 .0257 (301*2π)/9813 weeks
3021.18396 -.0524 (302*2π)/9813 weeks
3031.53448 .5949 (303*2π)/9813 weeks
3041.29451 1.41602 (304*2π)/9813 weeks
305.33375 1.92283 (305*2π)/9813 weeks
306-.57407 1.57935 (306*2π)/9813 weeks
307-1.2466 .90381 (307*2π)/9813 weeks
308-1.34927 -.13649 (308*2π)/9813 weeks
309-.77838 -.91603 (309*2π)/9813 weeks
310-.11935 -1.60008 (310*2π)/9813 weeks
3111.16447 -1.58238 (311*2π)/9813 weeks
3122.10304 -.87442 (312*2π)/9813 weeks
3132.53832 .4311 (313*2π)/9813 weeks
3141.98975 1.56893 (314*2π)/9813 weeks
315.72336 2.36318 (315*2π)/9813 weeks
316-.32836 1.63647 (316*2π)/9813 weeks
317-.83255 1.13448 (317*2π)/9813 weeks
318-.87485 .05696 (318*2π)/9813 weeks
319-.50959 -.62828 (319*2π)/9813 weeks
320.51458 -.83484 (320*2π)/9813 weeks
3211.14772 -.36107 (321*2π)/9813 weeks
3221.40198 .58022 (322*2π)/9813 weeks
323.68525 1.16348 (323*2π)/9813 weeks
324.01635 1.13616 (324*2π)/9813 weeks
325-.54868 .62368 (325*2π)/9813 weeks
326-.39148 -.23455 (326*2π)/9813 weeks
327.33638 -.18602 (327*2π)/9813 weeks
328.42207 .27093 (328*2π)/9813 weeks
329.12938 .48382 (329*2π)/9813 weeks
330-.11618 .04119 (330*2π)/9813 weeks
331.08806 .09648 (331*2π)/9813 weeks
332-.24312 -.10989 (332*2π)/9813 weeks
333.21854 -.41864 (333*2π)/9813 weeks
334.30925 -.51839 (334*2π)/9813 weeks
335.86842 -.41967 (335*2π)/9813 weeks
3361.04044 .10357 (336*2π)/9813 weeks
337.7255 .58068 (337*2π)/9813 weeks
338.19418 .40169 (338*2π)/9813 weeks
339.24936 .1839 (339*2π)/9813 weeks
340.31481 .43328 (340*2π)/9813 weeks
341-.17367 .45257 (341*2π)/9813 weeks
342-.43657 -.01469 (342*2π)/9813 weeks
343-.29367 -.69527 (343*2π)/9813 weeks
344.46847 -1.02092 (344*2π)/9813 weeks
3451.1313 -.81228 (345*2π)/9813 weeks
3461.53326 -.37933 (346*2π)/9813 weeks
3471.56658 .55404 (347*2π)/9813 weeks
3481.17225 1.15229 (348*2π)/9813 weeks
349.07808 1.26283 (349*2π)/9813 weeks
350-.39753 .74317 (350*2π)/9813 weeks
351-.40968 -.1173 (351*2π)/9813 weeks
352.24252 -.46642 (352*2π)/9813 weeks
353.58479 -.28131 (353*2π)/9813 weeks
354.68557 .13539 (354*2π)/9813 weeks
355.40143 .13188 (355*2π)/9813 weeks
356.3486 -.24113 (356*2π)/9813 weeks
357.92746 -.08195 (357*2π)/9813 weeks
3581.32423 -.0264 (358*2π)/9813 weeks
3591.19729 .88629 (359*2π)/9813 weeks
360.60123 1.06568 (360*2π)/9813 weeks
361.29584 1.15393 (361*2π)/9813 weeks
362-.28052 .77518 (362*2π)/9813 weeks
363-.42296 .15236 (363*2π)/9813 weeks
364.02762 -.08042 (364*2π)/9813 weeks
365.45095 -.06083 (365*2π)/9813 weeks
366.26699 .37708 (366*2π)/9813 weeks
367-.29078 .32108 (367*2π)/9813 weeks
368-.20807 -.32224 (368*2π)/9813 weeks
369-.01006 -.61372 (369*2π)/9813 weeks
370.71885 -.56588 (370*2π)/9813 weeks
371.79757 -.14626 (371*2π)/9813 weeks
372.8505 .31155 (372*2π)/9813 weeks
373.19143 .50833 (373*2π)/9813 weeks
374-.17872 -.00095 (374*2π)/9813 weeks
375.14841 -.62805 (375*2π)/9813 weeks
376.70285 -.60905 (376*2π)/9813 weeks
3771.17095 -.15754 (377*2π)/9813 weeks
378.95286 .5757 (378*2π)/9813 weeks
379.49809 .68857 (379*2π)/9813 weeks
380-.17187 .54117 (380*2π)/9813 weeks
381-.4296 -.02068 (381*2π)/9813 weeks
382-.18137 -.66235 (382*2π)/9813 weeks
383.64316 -1.01202 (383*2π)/9813 weeks
3841.1186 -.59987 (384*2π)/9813 weeks
3851.48398 -.08837 (385*2π)/9813 weeks
3861.16697 .70235 (386*2π)/9813 weeks
387.42197 .71919 (387*2π)/9813 weeks
388.11766 .24636 (388*2π)/9813 weeks
389.22043 .00809 (389*2π)/9813 weeks
390.595 -.22167 (390*2π)/9813 weeks
391.79453 .12895 (391*2π)/9813 weeks
392.62871 .32172 (392*2π)/9813 weeks
393.37894 .45253 (393*2π)/9812 weeks
394.07269 .05249 (394*2π)/9812 weeks
395.27387 -.18698 (395*2π)/9812 weeks
396.48529 -.49192 (396*2π)/9812 weeks
3971.21975 -.25159 (397*2π)/9812 weeks
3981.24505 .35642 (398*2π)/9812 weeks
3991.04378 .91564 (399*2π)/9812 weeks
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