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Fourier Analysis of LVLT (Level 3 Communications)


LVLT (Level 3 Communications) appears to have interesting cyclic behaviour every 93 weeks (64.1625*sine), 85 weeks (57.6272*sine), and 16 weeks (10.7281*cosine).

LVLT (Level 3 Communications) has an average price of 115.37 (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 10/30/2017 for LVLT (Level 3 Communications), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0115.365   0 
1145.7298 41.46838 (1*2π)/931931 weeks
2126.4677 36.87989 (2*2π)/931466 weeks
3108.8487 66.78832 (3*2π)/931310 weeks
488.7672 65.7164 (4*2π)/931233 weeks
587.82921 84.34451 (5*2π)/931186 weeks
659.07302 90.73332 (6*2π)/931155 weeks
741.96243 82.34422 (7*2π)/931133 weeks
827.73133 80.41229 (8*2π)/931116 weeks
916.49947 72.11977 (9*2π)/931103 weeks
109.03618 64.16254 (10*2π)/93193 weeks
113.64152 57.62722 (11*2π)/93185 weeks
12.90548 46.925 (12*2π)/93178 weeks
13-.76654 43.87318 (13*2π)/93172 weeks
142.09495 34.66451 (14*2π)/93167 weeks
152.55234 35.11829 (15*2π)/93162 weeks
16.42537 30.28194 (16*2π)/93158 weeks
174.509 28.7734 (17*2π)/93155 weeks
182.36811 28.62324 (18*2π)/93152 weeks
194.09061 28.68355 (19*2π)/93149 weeks
202.22714 25.22922 (20*2π)/93147 weeks
213.63029 24.97639 (21*2π)/93144 weeks
222.35147 23.3847 (22*2π)/93142 weeks
233.0662 22.27855 (23*2π)/93140 weeks
24-.02525 19.96762 (24*2π)/93139 weeks
254.26829 17.29161 (25*2π)/93137 weeks
265.7558 17.72963 (26*2π)/93136 weeks
276.55831 18.189 (27*2π)/93134 weeks
287.54969 19.11876 (28*2π)/93133 weeks
297.07094 19.83773 (29*2π)/93132 weeks
306.3199 20.41429 (30*2π)/93131 weeks
317.32954 21.2085 (31*2π)/93130 weeks
325.14888 23.0567 (32*2π)/93129 weeks
333.80987 22.84949 (33*2π)/93128 weeks
342.2362 23.38382 (34*2π)/93127 weeks
351.59579 21.8751 (35*2π)/93127 weeks
361.64151 22.48702 (36*2π)/93126 weeks
37.11376 23.18338 (37*2π)/93125 weeks
38-3.24549 22.53 (38*2π)/93125 weeks
39-4.40297 19.57416 (39*2π)/93124 weeks
40-5.18658 19.21457 (40*2π)/93123 weeks
41-7.1207 17.14466 (41*2π)/93123 weeks
42-6.44676 14.17395 (42*2π)/93122 weeks
43-6.53596 13.0983 (43*2π)/93122 weeks
44-6.22847 10.82891 (44*2π)/93121 weeks
45-3.69051 8.82963 (45*2π)/93121 weeks
46-3.65125 8.20246 (46*2π)/93120 weeks
47-.3445 7.57901 (47*2π)/93120 weeks
481.03716 8.98072 (48*2π)/93119 weeks
491.16527 10.28219 (49*2π)/93119 weeks
50.42907 11.38535 (50*2π)/93119 weeks
511.26355 11.62884 (51*2π)/93118 weeks
52.63216 13.19486 (52*2π)/93118 weeks
53.86535 13.67385 (53*2π)/93118 weeks
54-1.34873 15.37582 (54*2π)/93117 weeks
55-2.75516 14.64926 (55*2π)/93117 weeks
56-4.56702 15.5478 (56*2π)/93117 weeks
57-7.05651 13.30051 (57*2π)/93116 weeks
58-8.8359 13.10906 (58*2π)/93116 weeks
59-10.62788 9.62411 (59*2π)/93116 weeks
60-10.72813 6.86427 (60*2π)/93116 weeks
61-10.01678 3.52219 (61*2π)/93115 weeks
62-7.37236 2.31166 (62*2π)/93115 weeks
63-6.60625 1.063 (63*2π)/93115 weeks
64-4.61517 .51899 (64*2π)/93115 weeks
65-3.78727 -.05922 (65*2π)/93114 weeks
66-1.43135 -.38974 (66*2π)/93114 weeks
67-.10627 -.09208 (67*2π)/93114 weeks
681.15346 .6684 (68*2π)/93114 weeks
691.40671 1.52342 (69*2π)/93113 weeks
701.82786 2.28197 (70*2π)/93113 weeks
712.09993 2.42981 (71*2π)/93113 weeks
722.31545 3.18696 (72*2π)/93113 weeks
732.30872 2.94088 (73*2π)/93113 weeks
742.98028 3.05436 (74*2π)/93113 weeks
753.06422 3.54145 (75*2π)/93112 weeks
763.94219 4.1727 (76*2π)/93112 weeks
773.75244 5.81755 (77*2π)/93112 weeks
782.8284 5.39767 (78*2π)/93112 weeks
793.48701 6.14041 (79*2π)/93112 weeks
802.5902 6.28723 (80*2π)/93112 weeks
812.27681 6.85421 (81*2π)/93111 weeks
822.12922 6.87294 (82*2π)/93111 weeks
831.66303 7.81282 (83*2π)/93111 weeks
84.7841 7.72095 (84*2π)/93111 weeks
85.34711 7.81816 (85*2π)/93111 weeks
86-.85895 7.59965 (86*2π)/93111 weeks
87-1.57258 6.30399 (87*2π)/93111 weeks
88-.98541 5.76073 (88*2π)/93111 weeks
89-1.59543 5.97869 (89*2π)/93110 weeks
90-1.83428 5.11345 (90*2π)/93110 weeks
91-1.91314 4.67612 (91*2π)/93110 weeks
92-1.74076 3.61878 (92*2π)/93110 weeks
93-1.60473 3.41312 (93*2π)/93110 weeks
94-1.47449 2.68529 (94*2π)/93110 weeks
95-1.02266 2.2432 (95*2π)/93110 weeks
96-.21679 1.30174 (96*2π)/93110 weeks
971.00985 1.4535 (97*2π)/93110 weeks
981.0203 1.90284 (98*2π)/93110 weeks
991.26215 1.95258 (99*2π)/9319 weeks
1001.67412 1.98823 (100*2π)/9319 weeks
1012.13356 2.14881 (101*2π)/9319 weeks
1022.75806 2.24759 (102*2π)/9319 weeks
1033.34813 2.74841 (103*2π)/9319 weeks
1043.65276 3.61455 (104*2π)/9319 weeks
1053.42877 4.3002 (105*2π)/9319 weeks
1063.71157 5.09148 (106*2π)/9319 weeks
1072.72221 5.84003 (107*2π)/9319 weeks
1082.25665 5.19766 (108*2π)/9319 weeks
1091.86239 5.4683 (109*2π)/9319 weeks
1101.66509 5.19512 (110*2π)/9318 weeks
1111.40825 5.49973 (111*2π)/9318 weeks
1121.45027 5.00355 (112*2π)/9318 weeks
1131.60679 5.42303 (113*2π)/9318 weeks
1141.27262 4.87602 (114*2π)/9318 weeks
1151.76879 5.58064 (115*2π)/9318 weeks
1161.11513 5.70502 (116*2π)/9318 weeks
1171.12805 5.87666 (117*2π)/9318 weeks
118.75585 6.03669 (118*2π)/9318 weeks
119.57722 6.13322 (119*2π)/9318 weeks
120.11067 6.15176 (120*2π)/9318 weeks
121-.20263 5.86703 (121*2π)/9318 weeks
122-.36707 5.86955 (122*2π)/9318 weeks
123-.51613 5.89381 (123*2π)/9318 weeks
124-.98683 5.66051 (124*2π)/9318 weeks
125-1.30516 5.24161 (125*2π)/9317 weeks
126-1.72897 4.88457 (126*2π)/9317 weeks
127-1.84393 4.74515 (127*2π)/9317 weeks
128-2.2908 3.89672 (128*2π)/9317 weeks
129-1.93598 3.9555 (129*2π)/9317 weeks
130-2.15447 3.02175 (130*2π)/9317 weeks
131-1.44645 2.51155 (131*2π)/9317 weeks
132-1.27715 2.52673 (132*2π)/9317 weeks
133-.28224 2.24683 (133*2π)/9317 weeks
134-.32421 2.89234 (134*2π)/9317 weeks
135-.10643 2.92188 (135*2π)/9317 weeks
136-.35262 2.96862 (136*2π)/9317 weeks
137-.061 2.87034 (137*2π)/9317 weeks
138.09873 3.61543 (138*2π)/9317 weeks
139-.46389 3.44828 (139*2π)/9317 weeks
140-.47473 3.56764 (140*2π)/9317 weeks
141-.79133 3.84921 (141*2π)/9317 weeks
142-.93043 3.85781 (142*2π)/9317 weeks
143-1.68058 4.06187 (143*2π)/9317 weeks
144-2.32815 3.23551 (144*2π)/9316 weeks
145-2.44423 2.74864 (145*2π)/9316 weeks
146-2.31248 2.60546 (146*2π)/9316 weeks
147-2.17605 1.92978 (147*2π)/9316 weeks
148-2.03992 1.94906 (148*2π)/9316 weeks
149-2.02305 1.40723 (149*2π)/9316 weeks
150-1.92874 1.24689 (150*2π)/9316 weeks
151-2.25116 .63068 (151*2π)/9316 weeks
152-1.37569 .28638 (152*2π)/9316 weeks
153-1.51738 .18453 (153*2π)/9316 weeks
154-.792 -.32615 (154*2π)/9316 weeks
155-.51284 .22085 (155*2π)/9316 weeks
156-.50657 -.02205 (156*2π)/9316 weeks
157-.26636 -.00586 (157*2π)/9316 weeks
158-.13902 -.50196 (158*2π)/9316 weeks
159.51023 -.30725 (159*2π)/9316 weeks
160.59981 -.16352 (160*2π)/9316 weeks
161.68137 -.23219 (161*2π)/9316 weeks
1621.05186 -.41871 (162*2π)/9316 weeks
1631.5101 -.57921 (163*2π)/9316 weeks
1641.95005 -.50272 (164*2π)/9316 weeks
1652.36429 -.05904 (165*2π)/9316 weeks
1662.48895 .26933 (166*2π)/9316 weeks
1672.77602 .47219 (167*2π)/9316 weeks
1683.25168 .99127 (168*2π)/9316 weeks
1693.12255 1.54307 (169*2π)/9316 weeks
1703.12938 1.9546 (170*2π)/9315 weeks
1713.06579 2.4809 (171*2π)/9315 weeks
1723.1916 2.88102 (172*2π)/9315 weeks
1732.62326 3.57461 (173*2π)/9315 weeks
1742.03881 3.66568 (174*2π)/9315 weeks
1751.66258 3.76371 (175*2π)/9315 weeks
1761.19246 4.13843 (176*2π)/9315 weeks
177.41669 3.90498 (177*2π)/9315 weeks
178.07054 3.6095 (178*2π)/9315 weeks
179-.41531 3.1807 (179*2π)/9315 weeks
180-.33763 2.90177 (180*2π)/9315 weeks
181-.65646 2.7267 (181*2π)/9315 weeks
182-.73176 2.26843 (182*2π)/9315 weeks
183-.60039 1.72932 (183*2π)/9315 weeks
184-.54701 1.65136 (184*2π)/9315 weeks
185-.62928 .94122 (185*2π)/9315 weeks
186.22434 .94032 (186*2π)/9315 weeks
187.19494 1.09766 (187*2π)/9315 weeks
188.67803 .81808 (188*2π)/9315 weeks
189.93333 1.11619 (189*2π)/9315 weeks
1901.2319 1.36661 (190*2π)/9315 weeks
1911.28908 1.91957 (191*2π)/9315 weeks
192.86506 2.00662 (192*2π)/9315 weeks
193.60766 2.29686 (193*2π)/9315 weeks
194.33225 2.02724 (194*2π)/9315 weeks
195.21599 2.0451 (195*2π)/9315 weeks
196-.09876 2.07926 (196*2π)/9315 weeks
197-.30297 2.0233 (197*2π)/9315 weeks
198-.50943 2.10288 (198*2π)/9315 weeks
199-.99097 1.52547 (199*2π)/9315 weeks
200-.75967 .82171 (200*2π)/9315 weeks
201-.5541 .95307 (201*2π)/9315 weeks
202-.80992 .30327 (202*2π)/9315 weeks
203-.41286 -.03762 (203*2π)/9315 weeks
204.01812 .07199 (204*2π)/9315 weeks
205.06165 -.12102 (205*2π)/9315 weeks
206.35506 -.244 (206*2π)/9315 weeks
207.42413 -.26036 (207*2π)/9314 weeks
208.61777 -.39868 (208*2π)/9314 weeks
209.85428 -.42629 (209*2π)/9314 weeks
2101.2372 -.29847 (210*2π)/9314 weeks
2111.34548 -.57754 (211*2π)/9314 weeks
2121.73736 -.23849 (212*2π)/9314 weeks
2131.5339 -.05538 (213*2π)/9314 weeks
2141.81467 -.19238 (214*2π)/9314 weeks
2152.02526 -.04331 (215*2π)/9314 weeks
2162.12317 .02103 (216*2π)/9314 weeks
2172.4483 .09538 (217*2π)/9314 weeks
2182.85153 .20672 (218*2π)/9314 weeks
2193.01422 .77016 (219*2π)/9314 weeks
2202.82345 .91386 (220*2π)/9314 weeks
2213.05031 1.4106 (221*2π)/9314 weeks
2222.73309 1.6908 (222*2π)/9314 weeks
2232.80731 1.7122 (223*2π)/9314 weeks
2242.51938 2.31195 (224*2π)/9314 weeks
2252.18035 2.12515 (225*2π)/9314 weeks
2262.10479 2.38286 (226*2π)/9314 weeks
2271.74954 2.43406 (227*2π)/9314 weeks
2281.83554 2.45432 (228*2π)/9314 weeks
2291.57197 2.64831 (229*2π)/9314 weeks
2301.11411 2.59218 (230*2π)/9314 weeks
231.85078 2.15267 (231*2π)/9314 weeks
2321.0355 2.23163 (232*2π)/9314 weeks
233.59897 2.04985 (233*2π)/9314 weeks
234.89285 1.80513 (234*2π)/9314 weeks
235.58582 1.97794 (235*2π)/9314 weeks
236.38183 1.54298 (236*2π)/9314 weeks
237.66721 1.24274 (237*2π)/9314 weeks
238.84176 1.17806 (238*2π)/9314 weeks
2391.3617 .92289 (239*2π)/9314 weeks
2401.65612 1.3397 (240*2π)/9314 weeks
2411.57174 1.47672 (241*2π)/9314 weeks
2421.63544 1.55063 (242*2π)/9314 weeks
2431.69085 1.85415 (243*2π)/9314 weeks
2441.37764 2.00967 (244*2π)/9314 weeks
2451.32689 1.9142 (245*2π)/9314 weeks
2461.40029 1.96913 (246*2π)/9314 weeks
2471.50438 2.00506 (247*2π)/9314 weeks
2481.59914 2.23862 (248*2π)/9314 weeks
2491.6016 2.46791 (249*2π)/9314 weeks
2501.34036 2.89014 (250*2π)/9314 weeks
251.73253 2.94205 (251*2π)/9314 weeks
252.74598 2.99648 (252*2π)/9314 weeks
253.33303 3.09779 (253*2π)/9314 weeks
254-.01667 2.94761 (254*2π)/9314 weeks
255-.33229 2.7481 (255*2π)/9314 weeks
256-.50916 2.54028 (256*2π)/9314 weeks
257-.71928 2.18839 (257*2π)/9314 weeks
258-.59354 1.97389 (258*2π)/9314 weeks
259-.75772 1.69202 (259*2π)/9314 weeks
260-.82839 1.40099 (260*2π)/9314 weeks
261-.55727 1.2945 (261*2π)/9314 weeks
262-.75858 1.0758 (262*2π)/9314 weeks
263-.39084 .82972 (263*2π)/9314 weeks
264-.50128 .91043 (264*2π)/9314 weeks
265-.44289 .82799 (265*2π)/9314 weeks
266-.34695 .71527 (266*2π)/9314 weeks
267-.2694 .47519 (267*2π)/9313 weeks
268.02305 .44587 (268*2π)/9313 weeks
269.28632 .58937 (269*2π)/9313 weeks
270.21974 .65732 (270*2π)/9313 weeks
271.30332 .88037 (271*2π)/9313 weeks
272-.04533 .91917 (272*2π)/9313 weeks
273-.01273 .71921 (273*2π)/9313 weeks
274-.19726 .56363 (274*2π)/9313 weeks
275.21474 .33153 (275*2π)/9313 weeks
276.15905 .33748 (276*2π)/9313 weeks
277.45924 .21483 (277*2π)/9313 weeks
278.68957 .56329 (278*2π)/9313 weeks
279.52812 .81998 (279*2π)/9313 weeks
280.41832 .93911 (280*2π)/9313 weeks
281.01947 .85951 (281*2π)/9313 weeks
282.0928 .57471 (282*2π)/9313 weeks
283.05365 .73471 (283*2π)/9313 weeks
284.10597 .60302 (284*2π)/9313 weeks
285.06286 .80026 (285*2π)/9313 weeks
286-.29626 .54789 (286*2π)/9313 weeks
287-.19547 .35805 (287*2π)/9313 weeks
288-.15286 .2278 (288*2π)/9313 weeks
289-.02277 .13336 (289*2π)/9313 weeks
290-.08246 .17661 (290*2π)/9313 weeks
291-.11855 -.0266 (291*2π)/9313 weeks
292-.08974 -.11143 (292*2π)/9313 weeks
293-.13299 -.17798 (293*2π)/9313 weeks
294.02482 -.57272 (294*2π)/9313 weeks
295.26261 -.53151 (295*2π)/9313 weeks
296.35665 -.62492 (296*2π)/9313 weeks
297.57914 -.61325 (297*2π)/9313 weeks
298.61564 -.70275 (298*2π)/9313 weeks
299.89265 -.52888 (299*2π)/9313 weeks
300.59037 -.70617 (300*2π)/9313 weeks
301.98903 -.98738 (301*2π)/9313 weeks
3021.0889 -.96277 (302*2π)/9313 weeks
3031.56708 -.8883 (303*2π)/9313 weeks
3041.7135 -.70194 (304*2π)/9313 weeks
3052.05534 -.45734 (305*2π)/9313 weeks
3062.01544 -.04277 (306*2π)/9313 weeks
3072.04457 .14306 (307*2π)/9313 weeks
3082.00602 .50582 (308*2π)/9313 weeks
3091.72414 .75149 (309*2π)/9313 weeks
3101.52213 .57691 (310*2π)/9313 weeks
3111.58239 .60099 (311*2π)/9313 weeks
3121.53537 .76375 (312*2π)/9313 weeks
3131.59523 1.03811 (313*2π)/9313 weeks
3141.04848 1.23234 (314*2π)/9313 weeks
315.74282 .80968 (315*2π)/9313 weeks
316.87003 .82833 (316*2π)/9313 weeks
317.59159 .54619 (317*2π)/9313 weeks
318.8154 .31825 (318*2π)/9313 weeks
3191.01287 .28545 (319*2π)/9313 weeks
3201.23465 .43067 (320*2π)/9313 weeks
3211.09812 .75835 (321*2π)/9313 weeks
322.8829 .87149 (322*2π)/9313 weeks
323.77263 .7197 (323*2π)/9313 weeks
324.84155 .70746 (324*2π)/9313 weeks
325.76926 .70285 (325*2π)/9313 weeks
326.74875 .7135 (326*2π)/9313 weeks
327.49421 .77709 (327*2π)/9313 weeks
328.18009 .66239 (328*2π)/9313 weeks
329.2119 .28865 (329*2π)/9313 weeks
330.10618 -.07719 (330*2π)/9313 weeks
331.52966 -.29203 (331*2π)/9313 weeks
332.62027 -.47494 (332*2π)/9313 weeks
333.99116 -.38839 (333*2π)/9313 weeks
3341.13028 -.19123 (334*2π)/9313 weeks
3351.29487 -.13931 (335*2π)/9313 weeks
3361.28503 .15396 (336*2π)/9313 weeks
3371.25729 .28873 (337*2π)/9313 weeks
3381.11016 .30399 (338*2π)/9313 weeks
3391.14319 .7192 (339*2π)/9313 weeks
340.87144 .42998 (340*2π)/9313 weeks
341.85527 .60237 (341*2π)/9313 weeks
342.49029 .59453 (342*2π)/9313 weeks
343.43596 .07148 (343*2π)/9313 weeks
344.50292 -.20151 (344*2π)/9313 weeks
345.76456 -.25768 (345*2π)/9313 weeks
3461.01278 -.44538 (346*2π)/9313 weeks
3471.17129 -.17789 (347*2π)/9313 weeks
3481.26453 .03059 (348*2π)/9313 weeks
3491.261 -.00975 (349*2π)/9313 weeks
3501.4217 .35894 (350*2π)/9313 weeks
3511.21191 .40212 (351*2π)/9313 weeks
3521.22278 .67343 (352*2π)/9313 weeks
353.76055 .74375 (353*2π)/9313 weeks
354.6263 .56604 (354*2π)/9313 weeks
355.47542 .45325 (355*2π)/9313 weeks
356.39582 .35714 (356*2π)/9313 weeks
357.22609 .04785 (357*2π)/9313 weeks
358.29604 -.20066 (358*2π)/9313 weeks
359.25638 -.37718 (359*2π)/9313 weeks
360.58477 -.75283 (360*2π)/9313 weeks
361.80507 -.85093 (361*2π)/9313 weeks
3621.14686 -.81108 (362*2π)/9313 weeks
3631.48425 -.59081 (363*2π)/9313 weeks
3641.56691 -.52977 (364*2π)/9313 weeks
3651.83966 -.17784 (365*2π)/9313 weeks
3661.64276 .21359 (366*2π)/9313 weeks
3671.41141 .26227 (367*2π)/9313 weeks
3681.30235 .31197 (368*2π)/9313 weeks
3691.26697 .50101 (369*2π)/9313 weeks
370.96412 .44634 (370*2π)/9313 weeks
371.89358 .43545 (371*2π)/9313 weeks
372.6678 .44345 (372*2π)/9313 weeks
373.52756 .21022 (373*2π)/9312 weeks
374.51762 .23692 (374*2π)/9312 weeks
375.31905 .02562 (375*2π)/9312 weeks
376.5096 -.16499 (376*2π)/9312 weeks
377.39141 -.06451 (377*2π)/9312 weeks
378.33801 -.33841 (378*2π)/9312 weeks
379.41333 -.43551 (379*2π)/9312 weeks
380.36332 -.62933 (380*2π)/9312 weeks
381.42399 -.90915 (381*2π)/9312 weeks
382.81939 -1.00545 (382*2π)/9312 weeks
383.84383 -.9672 (383*2π)/9312 weeks
384.98209 -.91774 (384*2π)/9312 weeks
385.91 -.98228 (385*2π)/9312 weeks
3861.19512 -1.15407 (386*2π)/9312 weeks
3871.22718 -.9729 (387*2π)/9312 weeks
3881.38773 -1.09365 (388*2π)/9312 weeks
3891.54686 -1.01395 (389*2π)/9312 weeks
3901.85228 -.87779 (390*2π)/9312 weeks
3911.77081 -.74943 (391*2π)/9312 weeks
3921.93424 -.64898 (392*2π)/9312 weeks
3931.76831 -.34819 (393*2π)/9312 weeks
3941.85942 -.41782 (394*2π)/9312 weeks
3951.69333 -.12252 (395*2π)/9312 weeks
3961.54541 -.31847 (396*2π)/9312 weeks
3971.49662 -.25956 (397*2π)/9312 weeks
3981.43992 -.3701 (398*2π)/9312 weeks
3991.46078 -.56636 (399*2π)/9312 weeks
4001.59998 -.56169 (400*2π)/9312 weeks
4011.55946 -.68141 (401*2π)/9312 weeks
4021.82447 -.83757 (402*2π)/9312 weeks
4032.04362 -.62624 (403*2π)/9312 weeks
4042.12928 -.44018 (404*2π)/9312 weeks
4052.25672 -.23091 (405*2π)/9312 weeks
4062.20483 -.09068 (406*2π)/9312 weeks
4072.10594 .14208 (407*2π)/9312 weeks
4082.03434 .25331 (408*2π)/9312 weeks
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8253.71157 -5.09148 (825*2π)/9311 weeks
8263.42877 -4.3002 (826*2π)/9311 weeks
8273.65276 -3.61455 (827*2π)/9311 weeks
8283.34813 -2.74841 (828*2π)/9311 weeks
8292.75806 -2.24759 (829*2π)/9311 weeks
8302.13356 -2.14881 (830*2π)/9311 weeks
8311.67412 -1.98823 (831*2π)/9311 weeks
8321.26215 -1.95258 (832*2π)/9311 weeks
8331.0203 -1.90284 (833*2π)/9311 weeks
8341.00985 -1.4535 (834*2π)/9311 weeks
835-.21679 -1.30174 (835*2π)/9311 weeks
836-1.02266 -2.2432 (836*2π)/9311 weeks
837-1.47449 -2.68529 (837*2π)/9311 weeks
838-1.60473 -3.41312 (838*2π)/9311 weeks
839-1.74076 -3.61878 (839*2π)/9311 weeks
840-1.91314 -4.67612 (840*2π)/9311 weeks
841-1.83428 -5.11345 (841*2π)/9311 weeks
842-1.59543 -5.97869 (842*2π)/9311 weeks
843-.98541 -5.76073 (843*2π)/9311 weeks
844-1.57258 -6.30399 (844*2π)/9311 weeks
845-.85895 -7.59965 (845*2π)/9311 weeks
846.34711 -7.81816 (846*2π)/9311 weeks
847.7841 -7.72095 (847*2π)/9311 weeks
8481.66303 -7.81282 (848*2π)/9311 weeks
8492.12922 -6.87294 (849*2π)/9311 weeks
8502.27681 -6.85421 (850*2π)/9311 weeks
8512.5902 -6.28723 (851*2π)/9311 weeks
8523.48701 -6.14041 (852*2π)/9311 weeks
8532.8284 -5.39767 (853*2π)/9311 weeks
8543.75244 -5.81755 (854*2π)/9311 weeks
8553.94219 -4.1727 (855*2π)/9311 weeks
8563.06422 -3.54145 (856*2π)/9311 weeks
8572.98028 -3.05436 (857*2π)/9311 weeks
8582.30872 -2.94088 (858*2π)/9311 weeks
8592.31545 -3.18696 (859*2π)/9311 weeks
8602.09993 -2.42981 (860*2π)/9311 weeks
8611.82786 -2.28197 (861*2π)/9311 weeks
8621.40671 -1.52342 (862*2π)/9311 weeks
8631.15346 -.6684 (863*2π)/9311 weeks
864-.10627 .09208 (864*2π)/9311 weeks
865-1.43135 .38974 (865*2π)/9311 weeks
866-3.78727 .05922 (866*2π)/9311 weeks
867-4.61517 -.51899 (867*2π)/9311 weeks
868-6.60625 -1.063 (868*2π)/9311 weeks
869-7.37236 -2.31166 (869*2π)/9311 weeks
870-10.01678 -3.52219 (870*2π)/9311 weeks
871-10.72813 -6.86427 (871*2π)/9311 weeks
872-10.62788 -9.62411 (872*2π)/9311 weeks
873-8.8359 -13.10906 (873*2π)/9311 weeks
874-7.05651 -13.30051 (874*2π)/9311 weeks
875-4.56702 -15.5478 (875*2π)/9311 weeks
876-2.75516 -14.64926 (876*2π)/9311 weeks
877-1.34873 -15.37582 (877*2π)/9311 weeks
878.86535 -13.67385 (878*2π)/9311 weeks
879.63216 -13.19486 (879*2π)/9311 weeks
8801.26355 -11.62884 (880*2π)/9311 weeks
881.42907 -11.38535 (881*2π)/9311 weeks
8821.16527 -10.28219 (882*2π)/9311 weeks
8831.03716 -8.98072 (883*2π)/9311 weeks
884-.3445 -7.57901 (884*2π)/9311 weeks
885-3.65125 -8.20246 (885*2π)/9311 weeks
886-3.69051 -8.82963 (886*2π)/9311 weeks
887-6.22847 -10.82891 (887*2π)/9311 weeks
888-6.53596 -13.0983 (888*2π)/9311 weeks
889-6.44676 -14.17395 (889*2π)/9311 weeks
890-7.1207 -17.14466 (890*2π)/9311 weeks
891-5.18658 -19.21457 (891*2π)/9311 weeks
892-4.40297 -19.57416 (892*2π)/9311 weeks
893-3.24549 -22.53 (893*2π)/9311 weeks
894.11376 -23.18338 (894*2π)/9311 weeks
8951.64151 -22.48702 (895*2π)/9311 weeks
8961.59579 -21.8751 (896*2π)/9311 weeks
8972.2362 -23.38382 (897*2π)/9311 weeks
8983.80987 -22.84949 (898*2π)/9311 weeks
8995.14888 -23.0567 (899*2π)/9311 weeks
9007.32954 -21.2085 (900*2π)/9311 weeks
9016.3199 -20.41429 (901*2π)/9311 weeks
9027.07094 -19.83773 (902*2π)/9311 weeks
9037.54969 -19.11876 (903*2π)/9311 weeks
9046.55831 -18.189 (904*2π)/9311 weeks
9055.7558 -17.72963 (905*2π)/9311 weeks
9064.26829 -17.29161 (906*2π)/9311 weeks
907-.02525 -19.96762 (907*2π)/9311 weeks
9083.0662 -22.27855 (908*2π)/9311 weeks
9092.35147 -23.3847 (909*2π)/9311 weeks
9103.63029 -24.97639 (910*2π)/9311 weeks
9112.22714 -25.22922 (911*2π)/9311 weeks
9124.09061 -28.68355 (912*2π)/9311 weeks
9132.36811 -28.62324 (913*2π)/9311 weeks
9144.509 -28.7734 (914*2π)/9311 weeks
915.42537 -30.28194 (915*2π)/9311 weeks
9162.55234 -35.11829 (916*2π)/9311 weeks
9172.09495 -34.66451 (917*2π)/9311 weeks
918-.76654 -43.87318 (918*2π)/9311 weeks
919.90548 -46.925 (919*2π)/9311 weeks
9203.64152 -57.62722 (920*2π)/9311 weeks
9219.03618 -64.16254 (921*2π)/9311 weeks
92216.49947 -72.11977 (922*2π)/9311 weeks
92327.73133 -80.41229 (923*2π)/9311 weeks
92441.96243 -82.34422 (924*2π)/9311 weeks
92559.07302 -90.73332 (925*2π)/9311 weeks
92687.82921 -84.34451 (926*2π)/9311 weeks
92788.7672 -65.7164 (927*2π)/9311 weeks
928108.8487 -66.78832 (928*2π)/9311 weeks
929126.4677 -36.87989 (929*2π)/9311 weeks



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