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Fourier Analysis of SSNLF (Samsung Electronics Co.)


SSNLF (Samsung Electronics Co.) appears to have interesting cyclic behaviour every 43 weeks (88.8262*sine), 39 weeks (82.3321*sine), and 47 weeks (71.6728*sine).

SSNLF (Samsung Electronics Co.) has an average price of 263.01 (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 5/15/2009 to 5/14/2018 for SSNLF (Samsung Electronics Co.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0263.0074   0 
1466.6853 -211.2012 (1*2π)/471471 weeks
2313.28 -354.1025 (2*2π)/471236 weeks
3125.438 -392.8516 (3*2π)/471157 weeks
4-32.67036 -335.7606 (4*2π)/471118 weeks
5-119.4234 -224.79 (5*2π)/47194 weeks
6-128.4545 -112.9185 (6*2π)/47179 weeks
7-84.82724 -40.67192 (7*2π)/47167 weeks
8-28.35072 -21.38325 (8*2π)/47159 weeks
97.43683 -41.04393 (9*2π)/47152 weeks
109.59024 -71.67283 (10*2π)/47147 weeks
11-13.74772 -88.82622 (11*2π)/47143 weeks
12-43.53878 -82.33211 (12*2π)/47139 weeks
13-61.99089 -57.13082 (13*2π)/47136 weeks
14-60.87677 -27.18722 (14*2π)/47134 weeks
15-43.62352 -6.56292 (15*2π)/47131 weeks
16-21.19403 -2.19228 (16*2π)/47129 weeks
17-4.92387 -11.90508 (17*2π)/47128 weeks
18-1.03177 -27.63766 (18*2π)/47126 weeks
19-9.24241 -40.31126 (19*2π)/47125 weeks
20-24.1151 -43.46433 (20*2π)/47124 weeks
21-37.57568 -35.66225 (21*2π)/47122 weeks
22-42.80574 -21.21383 (22*2π)/47121 weeks
23-37.9679 -7.77692 (23*2π)/47120 weeks
24-27.06123 -1.84641 (24*2π)/47120 weeks
25-17.28744 -5.07655 (25*2π)/47119 weeks
26-14.7367 -13.56476 (26*2π)/47118 weeks
27-20.84019 -20.23952 (27*2π)/47117 weeks
28-31.36026 -19.10735 (28*2π)/47117 weeks
29-38.82175 -9.25625 (29*2π)/47116 weeks
30-37.47156 4.2311 (30*2π)/47116 weeks
31-27.27021 13.62167 (31*2π)/47115 weeks
32-13.89371 13.67713 (32*2π)/47115 weeks
33-5.01262 4.96447 (33*2π)/47114 weeks
34-5.46659 -6.57352 (34*2π)/47114 weeks
35-14.23882 -13.36003 (35*2π)/47113 weeks
36-25.09028 -11.05057 (36*2π)/47113 weeks
37-30.76226 -1.40254 (37*2π)/47113 weeks
38-27.95925 9.20593 (38*2π)/47112 weeks
39-19.16454 14.49339 (39*2π)/47112 weeks
40-10.27809 12.28287 (40*2π)/47112 weeks
41-6.5186 5.25999 (41*2π)/47111 weeks
42-9.3707 -1.25137 (42*2π)/47111 weeks
43-16.07693 -2.78599 (43*2π)/47111 weeks
44-21.72419 1.58574 (44*2π)/47111 weeks
45-22.53441 8.99359 (45*2π)/47110 weeks
46-18.13678 15.00904 (46*2π)/47110 weeks
47-11.30338 16.61261 (47*2π)/47110 weeks
48-5.79542 13.72111 (48*2π)/47110 weeks
49-4.11817 8.75806 (49*2π)/47110 weeks
50-6.30923 4.99757 (50*2π)/4719 weeks
51-10.17255 4.62199 (51*2π)/4719 weeks
52-12.79124 7.55653 (52*2π)/4719 weeks
53-12.32605 11.78987 (53*2π)/4719 weeks
54-8.88012 14.79462 (54*2π)/4719 weeks
55-4.12777 14.87638 (55*2π)/4719 weeks
56-.42139 11.83005 (56*2π)/4718 weeks
57.23155 7.11111 (57*2π)/4718 weeks
58-2.68221 3.32676 (58*2π)/4718 weeks
59-7.62642 2.83467 (59*2π)/4718 weeks
60-11.74845 6.26552 (60*2π)/4718 weeks
61-12.50432 12.05164 (61*2π)/4718 weeks
62-9.12826 17.25772 (62*2π)/4718 weeks
63-3.11581 19.19158 (63*2π)/4717 weeks
642.524 16.95747 (64*2π)/4717 weeks
655.0099 12.11598 (65*2π)/4717 weeks
663.61058 7.76732 (66*2π)/4717 weeks
67.1182 6.46094 (67*2π)/4717 weeks
68-2.47232 8.52077 (68*2π)/4717 weeks
69-2.01448 11.97035 (69*2π)/4717 weeks
701.41096 13.94658 (70*2π)/4717 weeks
715.58338 12.64739 (71*2π)/4717 weeks
727.6615 8.61369 (72*2π)/4717 weeks
736.23556 4.40973 (73*2π)/4716 weeks
742.38968 2.73968 (74*2π)/4716 weeks
75-1.18684 4.4802 (75*2π)/4716 weeks
76-2.18626 8.25248 (76*2π)/4716 weeks
77-.10649 11.57892 (77*2π)/4716 weeks
783.67404 12.52898 (78*2π)/4716 weeks
796.94901 10.81319 (79*2π)/4716 weeks
808.12799 7.77297 (80*2π)/4716 weeks
817.17227 5.33588 (81*2π)/4716 weeks
825.40058 4.65887 (82*2π)/4716 weeks
834.35223 5.49334 (83*2π)/4716 weeks
844.73031 6.66446 (84*2π)/4716 weeks
856.15762 7.01233 (85*2π)/4716 weeks
867.60032 6.0865 (86*2π)/4715 weeks
878.08127 4.34963 (87*2π)/4715 weeks
887.32397 2.8176 (88*2π)/4715 weeks
895.89809 2.33489 (89*2π)/4715 weeks
904.75688 3.04022 (90*2π)/4715 weeks
914.62222 4.41224 (91*2π)/4715 weeks
925.71822 5.638 (92*2π)/4715 weeks
937.73765 5.89461 (93*2π)/4715 weeks
949.8317 4.66852 (94*2π)/4715 weeks
9510.89006 2.174 (95*2π)/4715 weeks
9610.19395 -.55997 (96*2π)/4715 weeks
977.97317 -2.19547 (97*2π)/4715 weeks
985.40382 -1.8879 (98*2π)/4715 weeks
994.01324 .12973 (99*2π)/4715 weeks
1004.79868 2.51747 (100*2π)/4715 weeks
1017.46652 3.47238 (101*2π)/4715 weeks
10210.3557 1.90247 (102*2π)/4715 weeks
10311.41441 -1.64378 (103*2π)/4715 weeks
1049.63961 -5.17928 (104*2π)/4715 weeks
1055.85501 -6.54968 (105*2π)/4714 weeks
1062.27264 -4.86735 (106*2π)/4714 weeks
1071.12364 -1.18315 (107*2π)/4714 weeks
1083.1711 2.06525 (108*2π)/4714 weeks
1097.06768 2.6137 (109*2π)/4714 weeks
11010.17619 -.01611 (110*2π)/4714 weeks
11110.42249 -4.14065 (111*2π)/4714 weeks
1127.72389 -7.14503 (112*2π)/4714 weeks
1133.93136 -7.28752 (113*2π)/4714 weeks
1141.51079 -4.77319 (114*2π)/4714 weeks
1151.94026 -1.52771 (115*2π)/4714 weeks
1164.79449 .08708 (116*2π)/4714 weeks
1178.05327 -1.18756 (117*2π)/4714 weeks
1189.4611 -4.70169 (118*2π)/4714 weeks
1198.01012 -8.4103 (119*2π)/4714 weeks
1204.46174 -10.27139 (120*2π)/4714 weeks
121.70351 -9.43635 (121*2π)/4714 weeks
122-1.41336 -6.58603 (122*2π)/4714 weeks
123-1.07496 -3.42259 (123*2π)/4714 weeks
1241.13434 -1.64229 (124*2π)/4714 weeks
1253.70788 -1.98695 (125*2π)/4714 weeks
1265.18338 -3.97463 (126*2π)/4714 weeks
1274.89564 -6.38484 (127*2π)/4714 weeks
1283.12026 -7.97835 (128*2π)/4714 weeks
129.82339 -8.0165 (129*2π)/4714 weeks
130-.76902 -6.58136 (130*2π)/4714 weeks
131-.79051 -4.60951 (131*2π)/4714 weeks
132.70942 -3.4327 (132*2π)/4714 weeks
1332.70395 -3.99215 (133*2π)/4714 weeks
1343.73417 -6.22035 (134*2π)/4714 weeks
1352.75399 -8.98373 (135*2π)/4713 weeks
136-.18899 -10.6331 (136*2π)/4713 weeks
137-3.80206 -9.94155 (137*2π)/4713 weeks
138-6.17266 -6.98775 (138*2π)/4713 weeks
139-5.97883 -3.2909 (139*2π)/4713 weeks
140-3.42753 -.90933 (140*2π)/4713 weeks
141-.17305 -1.12128 (141*2π)/4713 weeks
1421.70891 -3.60504 (142*2π)/4713 weeks
1431.0278 -6.61615 (143*2π)/4713 weeks
144-1.72421 -8.08287 (144*2π)/4713 weeks
145-4.64858 -7.00114 (145*2π)/4713 weeks
146-5.7479 -4.17346 (146*2π)/4713 weeks
147-4.36439 -1.62975 (147*2π)/4713 weeks
148-1.60402 -1.15108 (148*2π)/4713 weeks
149.50306 -3.06701 (149*2π)/4713 weeks
150.37707 -6.1042 (150*2π)/4713 weeks
151-2.1068 -8.25059 (151*2π)/4713 weeks
152-5.55583 -8.0571 (152*2π)/4713 weeks
153-7.96997 -5.57267 (153*2π)/4713 weeks
154-8.06069 -2.29197 (154*2π)/4713 weeks
155-6.06532 -.11584 (155*2π)/4713 weeks
156-3.47619 -.10993 (156*2π)/4713 weeks
157-2.014 -1.94086 (157*2π)/4713 weeks
158-2.60503 -4.18904 (158*2π)/4713 weeks
159-4.88035 -5.23213 (159*2π)/4713 weeks
160-7.43035 -4.2247 (160*2π)/4713 weeks
161-8.69394 -1.59297 (161*2π)/4713 weeks
162-7.90286 1.28467 (162*2π)/4713 weeks
163-5.45269 2.93428 (163*2π)/4713 weeks
164-2.59177 2.55098 (164*2π)/4713 weeks
165-.79139 .33999 (165*2π)/4713 weeks
166-1.06049 -2.545 (166*2π)/4713 weeks
167-3.37421 -4.50182 (167*2π)/4713 weeks
168-6.5744 -4.33204 (168*2π)/4713 weeks
169-8.94853 -1.96578 (169*2π)/4713 weeks
170-9.18611 1.43991 (170*2π)/4713 weeks
171-7.13889 4.11194 (171*2π)/4713 weeks
172-3.95809 4.63777 (172*2π)/4713 weeks
173-1.51679 2.81788 (173*2π)/4713 weeks
174-1.31053 -.09755 (174*2π)/4713 weeks
175-3.44864 -2.11472 (175*2π)/4713 weeks
176-6.52582 -1.7854 (176*2π)/4713 weeks
177-8.51893 .8501 (177*2π)/4713 weeks
178-8.06267 4.28757 (178*2π)/4713 weeks
179-5.31075 6.48245 (179*2π)/4713 weeks
180-1.87946 6.12893 (180*2π)/4713 weeks
181.15152 3.53205 (181*2π)/4713 weeks
182-.38888 .43817 (182*2π)/4713 weeks
183-2.99695 -1.15048 (183*2π)/4713 weeks
184-5.92061 -.29097 (184*2π)/4713 weeks
185-7.36394 2.41271 (185*2π)/4713 weeks
186-6.56125 5.33173 (186*2π)/4713 weeks
187-4.1228 6.86295 (187*2π)/4713 weeks
188-1.56019 6.36777 (188*2π)/4713 weeks
189-.30857 4.48328 (189*2π)/4712 weeks
190-.84385 2.62319 (190*2π)/4712 weeks
191-2.49005 2.0112 (191*2π)/4712 weeks
192-3.99012 2.97027 (192*2π)/4712 weeks
193-4.30353 4.87835 (193*2π)/4712 weeks
194-3.13345 6.61761 (194*2π)/4712 weeks
195-1.02972 7.2063 (195*2π)/4712 weeks
196.954 6.33327 (196*2π)/4712 weeks
1971.8758 4.49017 (197*2π)/4712 weeks
1981.39836 2.63315 (198*2π)/4712 weeks
199-.1212 1.65719 (199*2π)/4712 weeks
200-1.86213 2.01448 (200*2π)/4712 weeks
201-2.8893 3.53042 (201*2π)/4712 weeks
202-2.59345 5.42129 (202*2π)/4712 weeks
203-1.08776 6.66102 (203*2π)/4712 weeks
204.79564 6.60605 (204*2π)/4712 weeks
2052.01781 5.42528 (205*2π)/4712 weeks
2062.00456 3.9932 (206*2π)/4712 weeks
2071.01919 3.32325 (207*2π)/4712 weeks
208.01445 3.90205 (208*2π)/4712 weeks
209.02606 5.30476 (209*2π)/4712 weeks
2101.40568 6.39943 (210*2π)/4712 weeks
2113.46142 6.14579 (211*2π)/4712 weeks
2124.90013 4.40813 (212*2π)/4712 weeks
2134.74615 2.10457 (213*2π)/4712 weeks
2143.03426 .61094 (214*2π)/4712 weeks
215.83344 .85243 (215*2π)/4712 weeks
216-.41714 2.65488 (216*2π)/4712 weeks
217.12232 4.80325 (217*2π)/4712 weeks
2182.07255 5.8643 (218*2π)/4712 weeks
2194.11262 5.22722 (219*2π)/4712 weeks
2204.98615 3.50379 (220*2π)/4712 weeks
2214.38741 1.98295 (221*2π)/4712 weeks
2223.07304 1.66987 (222*2π)/4712 weeks
2232.25447 2.62991 (223*2π)/4712 weeks
2242.7524 3.99513 (224*2π)/4712 weeks
2254.43741 4.57492 (225*2π)/4712 weeks
2266.3108 3.6912 (226*2π)/4712 weeks
2277.21287 1.65811 (227*2π)/4712 weeks
2286.6206 -.47989 (228*2π)/4712 weeks
2294.91161 -1.67442 (229*2π)/4712 weeks
2303.04146 -1.467 (230*2π)/4712 weeks
2311.9766 -.17235 (231*2π)/4712 weeks
2322.17828 1.34828 (232*2π)/4712 weeks
2333.39165 2.20109 (233*2π)/4712 weeks
2344.86619 1.94982 (234*2π)/4712 weeks
2355.82522 .76707 (235*2π)/4712 weeks
2365.82522 -.76707 (236*2π)/4712 weeks
2374.86619 -1.94982 (237*2π)/4712 weeks
2383.39165 -2.20109 (238*2π)/4712 weeks
2392.17828 -1.34828 (239*2π)/4712 weeks
2401.9766 .17235 (240*2π)/4712 weeks
2413.04146 1.467 (241*2π)/4712 weeks
2424.91161 1.67442 (242*2π)/4712 weeks
2436.6206 .47989 (243*2π)/4712 weeks
2447.21287 -1.65811 (244*2π)/4712 weeks
2456.3108 -3.6912 (245*2π)/4712 weeks
2464.43741 -4.57492 (246*2π)/4712 weeks
2472.7524 -3.99513 (247*2π)/4712 weeks
2482.25447 -2.62991 (248*2π)/4712 weeks
2493.07304 -1.66987 (249*2π)/4712 weeks
2504.38741 -1.98295 (250*2π)/4712 weeks
2514.98615 -3.50379 (251*2π)/4712 weeks
2524.11262 -5.22722 (252*2π)/4712 weeks
2532.07255 -5.8643 (253*2π)/4712 weeks
254.12232 -4.80325 (254*2π)/4712 weeks
255-.41714 -2.65488 (255*2π)/4712 weeks
256.83344 -.85243 (256*2π)/4712 weeks
2573.03426 -.61094 (257*2π)/4712 weeks
2584.74615 -2.10457 (258*2π)/4712 weeks
2594.90013 -4.40813 (259*2π)/4712 weeks
2603.46142 -6.14579 (260*2π)/4712 weeks
2611.40568 -6.39943 (261*2π)/4712 weeks
262.02606 -5.30476 (262*2π)/4712 weeks
263.01445 -3.90205 (263*2π)/4712 weeks
2641.01919 -3.32325 (264*2π)/4712 weeks
2652.00456 -3.9932 (265*2π)/4712 weeks
2662.01781 -5.42528 (266*2π)/4712 weeks
267.79564 -6.60605 (267*2π)/4712 weeks
268-1.08776 -6.66102 (268*2π)/4712 weeks
269-2.59345 -5.42129 (269*2π)/4712 weeks
270-2.8893 -3.53042 (270*2π)/4712 weeks
271-1.86213 -2.01448 (271*2π)/4712 weeks
272-.1212 -1.65719 (272*2π)/4712 weeks
2731.39836 -2.63315 (273*2π)/4712 weeks
2741.8758 -4.49017 (274*2π)/4712 weeks
275.954 -6.33327 (275*2π)/4712 weeks
276-1.02972 -7.2063 (276*2π)/4712 weeks
277-3.13345 -6.61761 (277*2π)/4712 weeks
278-4.30353 -4.87835 (278*2π)/4712 weeks
279-3.99012 -2.97027 (279*2π)/4712 weeks
280-2.49005 -2.0112 (280*2π)/4712 weeks
281-.84385 -2.62319 (281*2π)/4712 weeks
282-.30857 -4.48328 (282*2π)/4712 weeks
283-1.56019 -6.36777 (283*2π)/4712 weeks
284-4.1228 -6.86295 (284*2π)/4712 weeks
285-6.56125 -5.33173 (285*2π)/4712 weeks
286-7.36394 -2.41271 (286*2π)/4712 weeks
287-5.92061 .29097 (287*2π)/4712 weeks
288-2.99695 1.15048 (288*2π)/4712 weeks
289-.38888 -.43817 (289*2π)/4712 weeks
290.15152 -3.53205 (290*2π)/4712 weeks
291-1.87946 -6.12893 (291*2π)/4712 weeks
292-5.31075 -6.48245 (292*2π)/4712 weeks
293-8.06267 -4.28757 (293*2π)/4712 weeks
294-8.51893 -.8501 (294*2π)/4712 weeks
295-6.52582 1.7854 (295*2π)/4712 weeks
296-3.44864 2.11472 (296*2π)/4712 weeks
297-1.31053 .09755 (297*2π)/4712 weeks
298-1.51679 -2.81788 (298*2π)/4712 weeks
299-3.95809 -4.63777 (299*2π)/4712 weeks
300-7.13889 -4.11194 (300*2π)/4712 weeks
301-9.18611 -1.43991 (301*2π)/4712 weeks
302-8.94853 1.96578 (302*2π)/4712 weeks
303-6.5744 4.33204 (303*2π)/4712 weeks
304-3.37421 4.50182 (304*2π)/4712 weeks
305-1.06049 2.545 (305*2π)/4712 weeks
306-.79139 -.33999 (306*2π)/4712 weeks
307-2.59177 -2.55098 (307*2π)/4712 weeks
308-5.45269 -2.93428 (308*2π)/4712 weeks
309-7.90286 -1.28467 (309*2π)/4712 weeks
310-8.69394 1.59297 (310*2π)/4712 weeks
311-7.43035 4.2247 (311*2π)/4712 weeks
312-4.88035 5.23213 (312*2π)/4712 weeks
313-2.60503 4.18904 (313*2π)/4712 weeks
314-2.014 1.94086 (314*2π)/4712 weeks
315-3.47619 .10993 (315*2π)/4711 weeks
316-6.06532 .11584 (316*2π)/4711 weeks
317-8.06069 2.29197 (317*2π)/4711 weeks
318-7.96997 5.57267 (318*2π)/4711 weeks
319-5.55583 8.0571 (319*2π)/4711 weeks
320-2.1068 8.25059 (320*2π)/4711 weeks
321.37707 6.1042 (321*2π)/4711 weeks
322.50306 3.06701 (322*2π)/4711 weeks
323-1.60402 1.15108 (323*2π)/4711 weeks
324-4.36439 1.62975 (324*2π)/4711 weeks
325-5.7479 4.17346 (325*2π)/4711 weeks
326-4.64858 7.00114 (326*2π)/4711 weeks
327-1.72421 8.08287 (327*2π)/4711 weeks
3281.0278 6.61615 (328*2π)/4711 weeks
3291.70891 3.60504 (329*2π)/4711 weeks
330-.17305 1.12128 (330*2π)/4711 weeks
331-3.42753 .90933 (331*2π)/4711 weeks
332-5.97883 3.2909 (332*2π)/4711 weeks
333-6.17266 6.98775 (333*2π)/4711 weeks
334-3.80206 9.94155 (334*2π)/4711 weeks
335-.18899 10.6331 (335*2π)/4711 weeks
3362.75399 8.98373 (336*2π)/4711 weeks
3373.73417 6.22035 (337*2π)/4711 weeks
3382.70395 3.99215 (338*2π)/4711 weeks
339.70942 3.4327 (339*2π)/4711 weeks
340-.79051 4.60951 (340*2π)/4711 weeks
341-.76902 6.58136 (341*2π)/4711 weeks
342.82339 8.0165 (342*2π)/4711 weeks
3433.12026 7.97835 (343*2π)/4711 weeks
3444.89564 6.38484 (344*2π)/4711 weeks
3455.18338 3.97463 (345*2π)/4711 weeks
3463.70788 1.98695 (346*2π)/4711 weeks
3471.13434 1.64229 (347*2π)/4711 weeks
348-1.07496 3.42259 (348*2π)/4711 weeks
349-1.41336 6.58603 (349*2π)/4711 weeks
350.70351 9.43635 (350*2π)/4711 weeks
3514.46174 10.27139 (351*2π)/4711 weeks
3528.01012 8.4103 (352*2π)/4711 weeks
3539.4611 4.70169 (353*2π)/4711 weeks
3548.05327 1.18756 (354*2π)/4711 weeks
3554.79449 -.08708 (355*2π)/4711 weeks
3561.94026 1.52771 (356*2π)/4711 weeks
3571.51079 4.77319 (357*2π)/4711 weeks
3583.93136 7.28752 (358*2π)/4711 weeks
3597.72389 7.14503 (359*2π)/4711 weeks
36010.42249 4.14065 (360*2π)/4711 weeks
36110.17619 .01611 (361*2π)/4711 weeks
3627.06768 -2.6137 (362*2π)/4711 weeks
3633.1711 -2.06525 (363*2π)/4711 weeks
3641.12364 1.18315 (364*2π)/4711 weeks
3652.27264 4.86735 (365*2π)/4711 weeks
3665.85501 6.54968 (366*2π)/4711 weeks
3679.63961 5.17928 (367*2π)/4711 weeks
36811.41441 1.64378 (368*2π)/4711 weeks
36910.3557 -1.90247 (369*2π)/4711 weeks
3707.46652 -3.47238 (370*2π)/4711 weeks
3714.79868 -2.51747 (371*2π)/4711 weeks
3724.01324 -.12973 (372*2π)/4711 weeks
3735.40382 1.8879 (373*2π)/4711 weeks
3747.97317 2.19547 (374*2π)/4711 weeks
37510.19395 .55997 (375*2π)/4711 weeks
37610.89006 -2.174 (376*2π)/4711 weeks
3779.8317 -4.66852 (377*2π)/4711 weeks
3787.73765 -5.89461 (378*2π)/4711 weeks
3795.71822 -5.638 (379*2π)/4711 weeks
3804.62222 -4.41224 (380*2π)/4711 weeks
3814.75688 -3.04022 (381*2π)/4711 weeks
3825.89809 -2.33489 (382*2π)/4711 weeks
3837.32397 -2.8176 (383*2π)/4711 weeks
3848.08127 -4.34963 (384*2π)/4711 weeks
3857.60032 -6.0865 (385*2π)/4711 weeks
3866.15762 -7.01233 (386*2π)/4711 weeks
3874.73031 -6.66446 (387*2π)/4711 weeks
3884.35223 -5.49334 (388*2π)/4711 weeks
3895.40058 -4.65887 (389*2π)/4711 weeks
3907.17227 -5.33588 (390*2π)/4711 weeks
3918.12799 -7.77297 (391*2π)/4711 weeks
3926.94901 -10.81319 (392*2π)/4711 weeks
3933.67404 -12.52898 (393*2π)/4711 weeks
394-.10649 -11.57892 (394*2π)/4711 weeks
395-2.18626 -8.25248 (395*2π)/4711 weeks
396-1.18684 -4.4802 (396*2π)/4711 weeks
3972.38968 -2.73968 (397*2π)/4711 weeks
3986.23556 -4.40973 (398*2π)/4711 weeks
3997.6615 -8.61369 (399*2π)/4711 weeks
4005.58338 -12.64739 (400*2π)/4711 weeks
4011.41096 -13.94658 (401*2π)/4711 weeks
402-2.01448 -11.97035 (402*2π)/4711 weeks
403-2.47232 -8.52077 (403*2π)/4711 weeks
404.1182 -6.46094 (404*2π)/4711 weeks
4053.61058 -7.76732 (405*2π)/4711 weeks
4065.0099 -12.11598 (406*2π)/4711 weeks
4072.524 -16.95747 (407*2π)/4711 weeks
408-3.11581 -19.19158 (408*2π)/4711 weeks
409-9.12826 -17.25772 (409*2π)/4711 weeks
410-12.50432 -12.05164 (410*2π)/4711 weeks
411-11.74845 -6.26552 (411*2π)/4711 weeks
412-7.62642 -2.83467 (412*2π)/4711 weeks
413-2.68221 -3.32676 (413*2π)/4711 weeks
414.23155 -7.11111 (414*2π)/4711 weeks
415-.42139 -11.83005 (415*2π)/4711 weeks
416-4.12777 -14.87638 (416*2π)/4711 weeks
417-8.88012 -14.79462 (417*2π)/4711 weeks
418-12.32605 -11.78987 (418*2π)/4711 weeks
419-12.79124 -7.55653 (419*2π)/4711 weeks
420-10.17255 -4.62199 (420*2π)/4711 weeks
421-6.30923 -4.99757 (421*2π)/4711 weeks
422-4.11817 -8.75806 (422*2π)/4711 weeks
423-5.79542 -13.72111 (423*2π)/4711 weeks
424-11.30338 -16.61261 (424*2π)/4711 weeks
425-18.13678 -15.00904 (425*2π)/4711 weeks
426-22.53441 -8.99359 (426*2π)/4711 weeks
427-21.72419 -1.58574 (427*2π)/4711 weeks
428-16.07693 2.78599 (428*2π)/4711 weeks
429-9.3707 1.25137 (429*2π)/4711 weeks
430-6.5186 -5.25999 (430*2π)/4711 weeks
431-10.27809 -12.28287 (431*2π)/4711 weeks
432-19.16454 -14.49339 (432*2π)/4711 weeks
433-27.95925 -9.20593 (433*2π)/4711 weeks
434-30.76226 1.40254 (434*2π)/4711 weeks
435-25.09028 11.05057 (435*2π)/4711 weeks
436-14.23882 13.36003 (436*2π)/4711 weeks
437-5.46659 6.57352 (437*2π)/4711 weeks
438-5.01262 -4.96447 (438*2π)/4711 weeks
439-13.89371 -13.67713 (439*2π)/4711 weeks
440-27.27021 -13.62167 (440*2π)/4711 weeks
441-37.47156 -4.2311 (441*2π)/4711 weeks
442-38.82175 9.25625 (442*2π)/4711 weeks
443-31.36026 19.10735 (443*2π)/4711 weeks
444-20.84019 20.23952 (444*2π)/4711 weeks
445-14.7367 13.56476 (445*2π)/4711 weeks
446-17.28744 5.07655 (446*2π)/4711 weeks
447-27.06123 1.84641 (447*2π)/4711 weeks
448-37.9679 7.77692 (448*2π)/4711 weeks
449-42.80574 21.21383 (449*2π)/4711 weeks
450-37.57568 35.66225 (450*2π)/4711 weeks
451-24.1151 43.46433 (451*2π)/4711 weeks
452-9.24241 40.31126 (452*2π)/4711 weeks
453-1.03177 27.63766 (453*2π)/4711 weeks
454-4.92387 11.90508 (454*2π)/4711 weeks
455-21.19403 2.19228 (455*2π)/4711 weeks
456-43.62352 6.56292 (456*2π)/4711 weeks
457-60.87677 27.18722 (457*2π)/4711 weeks
458-61.99089 57.13082 (458*2π)/4711 weeks
459-43.53878 82.33211 (459*2π)/4711 weeks
460-13.74772 88.82622 (460*2π)/4711 weeks
4619.59024 71.67283 (461*2π)/4711 weeks
4627.43683 41.04393 (462*2π)/4711 weeks
463-28.35072 21.38325 (463*2π)/4711 weeks
464-84.82724 40.67192 (464*2π)/4711 weeks
465-128.4545 112.9185 (465*2π)/4711 weeks
466-119.4234 224.79 (466*2π)/4711 weeks
467-32.67036 335.7606 (467*2π)/4711 weeks
468125.438 392.8516 (468*2π)/4711 weeks
469313.28 354.1025 (469*2π)/4711 weeks



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