Back to list of Stocks    See Also: Seasonal Analysis of CIEGenetic Algorithms Stock Portfolio Generator, and Best Months to Buy/Sell Stocks

# Fourier Analysis of CIE (iShares International Fdmtl ETF Comm)

CIE (iShares International Fdmtl ETF Comm) appears to have interesting cyclic behaviour every 38 weeks (13.9277*sine), 38 weeks (12.9697*cosine), and 28 weeks (9.9081*cosine).

CIE (iShares International Fdmtl ETF Comm) has an average price of 185.33 (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 12/16/2009 to 3/23/2018 for CIE (iShares International Fdmtl ETF Comm), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0185.3334   0
1-125.5741 115.3199 (1*2π)/419419 weeks
215.35983 -13.02573 (2*2π)/419210 weeks
315.14809 29.2183 (3*2π)/419140 weeks
45.01133 10.03291 (4*2π)/419105 weeks
5-8.42264 9.32366 (5*2π)/41984 weeks
62.29579 -4.29247 (6*2π)/41970 weeks
736.60349 13.34891 (7*2π)/41960 weeks
8-8.14974 26.88469 (8*2π)/41952 weeks
9-5.36063 11.68498 (9*2π)/41947 weeks
10-1.94567 -6.42336 (10*2π)/41942 weeks
1112.96974 13.92767 (11*2π)/41938 weeks
12-4.24691 12.62545 (12*2π)/41935 weeks
13-7.98572 3.72938 (13*2π)/41932 weeks
14.09402 1.17672 (14*2π)/41930 weeks
159.90807 9.37574 (15*2π)/41928 weeks
16-7.65528 6.96913 (16*2π)/41926 weeks
17-5.43007 -1.14077 (17*2π)/41925 weeks
184.29103 1.60681 (18*2π)/41923 weeks
192.64281 7.8531 (19*2π)/41922 weeks
20-6.03014 -.92855 (20*2π)/41921 weeks
212.70569 -1.95491 (21*2π)/41920 weeks
224.3757 6.3694 (22*2π)/41919 weeks
23-1.73853 4.37638 (23*2π)/41918 weeks
24-.19121 -2.85669 (24*2π)/41917 weeks
254.74194 2.53223 (25*2π)/41917 weeks
262.3863 1.33986 (26*2π)/41916 weeks
273.6559 8.22213 (27*2π)/41916 weeks
28-3.28098 -.01773 (28*2π)/41915 weeks
294.82317 2.61353 (29*2π)/41914 weeks
30-.90252 4.14341 (30*2π)/41914 weeks
312.4652 2.43855 (31*2π)/41914 weeks
321.67693 4.1551 (32*2π)/41913 weeks
33-1.06244 4.28711 (33*2π)/41913 weeks
34.02933 2.64313 (34*2π)/41912 weeks
35.75204 2.5397 (35*2π)/41912 weeks
36-1.74393 4.11985 (36*2π)/41912 weeks
37-.32035 .0434 (37*2π)/41911 weeks
38.26223 3.28729 (38*2π)/41911 weeks
39-1.10151 1.16114 (39*2π)/41911 weeks
40-.47854 -.36821 (40*2π)/41910 weeks
412.5772 3.56661 (41*2π)/41910 weeks
42-1.07216 1.41644 (42*2π)/41910 weeks
43-.31333 1.79139 (43*2π)/41910 weeks
44.74478 .97849 (44*2π)/41910 weeks
45.48998 2.58307 (45*2π)/4199 weeks
46-.9987 .24518 (46*2π)/4199 weeks
471.12343 .97501 (47*2π)/4199 weeks
48-.45667 2.65379 (48*2π)/4199 weeks
49.97525 .36379 (49*2π)/4199 weeks
50-2.13361 1.10731 (50*2π)/4198 weeks
513.77617 -.7443 (51*2π)/4198 weeks
52.90877 3.40315 (52*2π)/4198 weeks
53-.32845 3.54201 (53*2π)/4198 weeks
54-1.96432 1.09357 (54*2π)/4198 weeks
55.76021 -1.94898 (55*2π)/4198 weeks
561.82466 3.69006 (56*2π)/4197 weeks
57-.00763 2.40852 (57*2π)/4197 weeks
58-3.4327 1.66988 (58*2π)/4197 weeks
591.46988 -2.10059 (59*2π)/4197 weeks
60-.43424 2.33222 (60*2π)/4197 weeks
61-.2136 -.30908 (61*2π)/4197 weeks
62.95073 .76678 (62*2π)/4197 weeks
63.0139 .96991 (63*2π)/4197 weeks
64-.01706 .84737 (64*2π)/4197 weeks
65-.39164 .19744 (65*2π)/4196 weeks
66.69891 .53004 (66*2π)/4196 weeks
671.32656 .39788 (67*2π)/4196 weeks
68.67491 1.2384 (68*2π)/4196 weeks
69-.67563 .50543 (69*2π)/4196 weeks
70.63352 .18084 (70*2π)/4196 weeks
71.88091 1.94506 (71*2π)/4196 weeks
72-.99308 .96228 (72*2π)/4196 weeks
73.27089 -1.04237 (73*2π)/4196 weeks
74.92728 .43108 (74*2π)/4196 weeks
751.22833 .38336 (75*2π)/4196 weeks
76-.0128 2.4769 (76*2π)/4196 weeks
77-.20648 -.15629 (77*2π)/4195 weeks
78.45586 -.70912 (78*2π)/4195 weeks
791.42483 2.30872 (79*2π)/4195 weeks
80-1.66947 .56674 (80*2π)/4195 weeks
811.40862 -2.44266 (81*2π)/4195 weeks
821.39985 2.54227 (82*2π)/4195 weeks
83-.79386 .57498 (83*2π)/4195 weeks
841.2744 .75526 (84*2π)/4195 weeks
85-.19763 .24254 (85*2π)/4195 weeks
86.53455 .47503 (86*2π)/4195 weeks
87-1.40067 .55801 (87*2π)/4195 weeks
881.33439 -.4956 (88*2π)/4195 weeks
89.73723 -.36725 (89*2π)/4195 weeks
90.7935 .7949 (90*2π)/4195 weeks
91-.58347 -.24792 (91*2π)/4195 weeks
921.79294 -1.15908 (92*2π)/4195 weeks
93.65874 1.40652 (93*2π)/4195 weeks
941.85389 .0267 (94*2π)/4194 weeks
95-.78238 .3708 (95*2π)/4194 weeks
961.58728 .20977 (96*2π)/4194 weeks
972.123 .18249 (97*2π)/4194 weeks
98.00406 2.00584 (98*2π)/4194 weeks
99.02759 -1.71257 (99*2π)/4194 weeks
1001.99018 1.39467 (100*2π)/4194 weeks
1011.52837 1.22985 (101*2π)/4194 weeks
102-.02007 .96954 (102*2π)/4194 weeks
103-.41006 .28117 (103*2π)/4194 weeks
104.90094 .26967 (104*2π)/4194 weeks
1051.52294 .57349 (105*2π)/4194 weeks
106-.02599 .93099 (106*2π)/4194 weeks
107.59993 -1.07505 (107*2π)/4194 weeks
1082.40939 2.47451 (108*2π)/4194 weeks
109-1.2589 1.36843 (109*2π)/4194 weeks
110-.10147 -.93882 (110*2π)/4194 weeks
1111.28764 .11528 (111*2π)/4194 weeks
1121.19244 1.17444 (112*2π)/4194 weeks
113-.5003 .86466 (113*2π)/4194 weeks
114.63533 -.79757 (114*2π)/4194 weeks
115.6394 .09846 (115*2π)/4194 weeks
1162.07861 1.05723 (116*2π)/4194 weeks
117.25006 1.14676 (117*2π)/4194 weeks
118-.29588 -.06639 (118*2π)/4194 weeks
1191.57237 .65982 (119*2π)/4194 weeks
120.90384 1.24364 (120*2π)/4193 weeks
121-.77315 1.2898 (121*2π)/4193 weeks
122.28205 -.83861 (122*2π)/4193 weeks
1231.04005 .50738 (123*2π)/4193 weeks
124.69233 1.19371 (124*2π)/4193 weeks
125-.35579 -.0988 (125*2π)/4193 weeks
126.71121 -.39396 (126*2π)/4193 weeks
1271.71606 1.71086 (127*2π)/4193 weeks
128-.8795 .80279 (128*2π)/4193 weeks
129.09594 -.22883 (129*2π)/4193 weeks
1301.00636 .47368 (130*2π)/4193 weeks
131.22315 .56801 (131*2π)/4193 weeks
132.46643 -.00057 (132*2π)/4193 weeks
133-.39438 .67299 (133*2π)/4193 weeks
134.62394 -.26346 (134*2π)/4193 weeks
135.70303 -.32027 (135*2π)/4193 weeks
1361.27789 .59582 (136*2π)/4193 weeks
137-.26671 .41952 (137*2π)/4193 weeks
138.918 -.11349 (138*2π)/4193 weeks
139.87017 .79027 (139*2π)/4193 weeks
140-.19777 .64601 (140*2π)/4193 weeks
141.79868 -.01217 (141*2π)/4193 weeks
142.63918 .34403 (142*2π)/4193 weeks
1431.02512 .69961 (143*2π)/4193 weeks
144-.63781 .83378 (144*2π)/4193 weeks
145.5197 .08267 (145*2π)/4193 weeks
146-.33362 -.05052 (146*2π)/4193 weeks
147.4391 .07039 (147*2π)/4193 weeks
148.38785 .16491 (148*2π)/4193 weeks
149.45297 -.26527 (149*2π)/4193 weeks
150.5677 -.27324 (150*2π)/4193 weeks
151.79652 .15923 (151*2π)/4193 weeks
152.4137 .28419 (152*2π)/4193 weeks
153.55915 .5779 (153*2π)/4193 weeks
154.34153 -.04093 (154*2π)/4193 weeks
155.51379 -.25046 (155*2π)/4193 weeks
156.20849 -.52232 (156*2π)/4193 weeks
1571.74186 .34437 (157*2π)/4193 weeks
158.18881 1.03073 (158*2π)/4193 weeks
159.07991 -.65448 (159*2π)/4193 weeks
1601.56471 -.14588 (160*2π)/4193 weeks
161.65484 1.05276 (161*2π)/4193 weeks
162.20684 -.05026 (162*2π)/4193 weeks
163.51127 .28891 (163*2π)/4193 weeks
1641.04333 -.03323 (164*2π)/4193 weeks
1651.27955 1.20612 (165*2π)/4193 weeks
166-.79292 .06024 (166*2π)/4193 weeks
167.73976 -.11905 (167*2π)/4193 weeks
1681.25573 .90802 (168*2π)/4192 weeks
169-.22556 .70837 (169*2π)/4192 weeks
170-.76064 -.54473 (170*2π)/4192 weeks
1711.29504 -.35153 (171*2π)/4192 weeks
172.88547 .8067 (172*2π)/4192 weeks
173-.13497 .34483 (173*2π)/4192 weeks
174-.46255 -1.12489 (174*2π)/4192 weeks
1751.64863 .06742 (175*2π)/4192 weeks
1761.43595 .67928 (176*2π)/4192 weeks
177-.69432 -.02775 (177*2π)/4192 weeks
1781.0436 -.11353 (178*2π)/4192 weeks
179.75773 .42787 (179*2π)/4192 weeks
180.23079 -.10085 (180*2π)/4192 weeks
1811.50563 .03286 (181*2π)/4192 weeks
182.11731 1.21831 (182*2π)/4192 weeks
183-.02327 -.55303 (183*2π)/4192 weeks
1841.47571 .47738 (184*2π)/4192 weeks
185-.33545 .78138 (185*2π)/4192 weeks
186.44689 -.44346 (186*2π)/4192 weeks
187.68266 .18176 (187*2π)/4192 weeks
188-.19378 .63222 (188*2π)/4192 weeks
189.84771 -.6461 (189*2π)/4192 weeks
190.18485 .20575 (190*2π)/4192 weeks
1911.34913 -.02766 (191*2π)/4192 weeks
192-.29826 .42279 (192*2π)/4192 weeks
193.8001 -.10279 (193*2π)/4192 weeks
194.50274 -.34143 (194*2π)/4192 weeks
1951.0976 .87511 (195*2π)/4192 weeks
196-.51945 .4562 (196*2π)/4192 weeks
197.71129 -1.44202 (197*2π)/4192 weeks
1981.17391 1.15722 (198*2π)/4192 weeks
199.31995 -.06551 (199*2π)/4192 weeks
200.53467 .16107 (200*2π)/4192 weeks
201.49516 .21997 (201*2π)/4192 weeks
202.8801 .53042 (202*2π)/4192 weeks
203-.2258 .00781 (203*2π)/4192 weeks
204.90721 .41803 (204*2π)/4192 weeks
205.11557 .10485 (205*2π)/4192 weeks
206.35303 .71607 (206*2π)/4192 weeks
207.01292 -.24082 (207*2π)/4192 weeks
208.73272 .27212 (208*2π)/4192 weeks
209-.49233 1.20422 (209*2π)/4192 weeks
210-.49233 -1.20422 (210*2π)/4192 weeks
211.73272 -.27212 (211*2π)/4192 weeks
212.01292 .24082 (212*2π)/4192 weeks
213.35303 -.71607 (213*2π)/4192 weeks
214.11557 -.10485 (214*2π)/4192 weeks
215.90721 -.41803 (215*2π)/4192 weeks
216-.2258 -.00781 (216*2π)/4192 weeks
217.8801 -.53042 (217*2π)/4192 weeks
218.49516 -.21997 (218*2π)/4192 weeks
219.53467 -.16107 (219*2π)/4192 weeks
220.31995 .06551 (220*2π)/4192 weeks
2211.17391 -1.15722 (221*2π)/4192 weeks
222.71129 1.44202 (222*2π)/4192 weeks
223-.51945 -.4562 (223*2π)/4192 weeks
2241.0976 -.87511 (224*2π)/4192 weeks
225.50274 .34143 (225*2π)/4192 weeks
226.8001 .10279 (226*2π)/4192 weeks
227-.29826 -.42279 (227*2π)/4192 weeks
2281.34913 .02766 (228*2π)/4192 weeks
229.18485 -.20575 (229*2π)/4192 weeks
230.84771 .6461 (230*2π)/4192 weeks
231-.19378 -.63222 (231*2π)/4192 weeks
232.68266 -.18176 (232*2π)/4192 weeks
233.44689 .44346 (233*2π)/4192 weeks
234-.33545 -.78138 (234*2π)/4192 weeks
2351.47571 -.47738 (235*2π)/4192 weeks
236-.02327 .55303 (236*2π)/4192 weeks
237.11731 -1.21831 (237*2π)/4192 weeks
2381.50563 -.03286 (238*2π)/4192 weeks
239.23079 .10085 (239*2π)/4192 weeks
240.75773 -.42787 (240*2π)/4192 weeks
2411.0436 .11353 (241*2π)/4192 weeks
242-.69432 .02775 (242*2π)/4192 weeks
2431.43595 -.67928 (243*2π)/4192 weeks
2441.64863 -.06742 (244*2π)/4192 weeks
245-.46255 1.12489 (245*2π)/4192 weeks
246-.13497 -.34483 (246*2π)/4192 weeks
247.88547 -.8067 (247*2π)/4192 weeks
2481.29504 .35153 (248*2π)/4192 weeks
249-.76064 .54473 (249*2π)/4192 weeks
250-.22556 -.70837 (250*2π)/4192 weeks
2511.25573 -.90802 (251*2π)/4192 weeks
252.73976 .11905 (252*2π)/4192 weeks
253-.79292 -.06024 (253*2π)/4192 weeks
2541.27955 -1.20612 (254*2π)/4192 weeks
2551.04333 .03323 (255*2π)/4192 weeks
256.51127 -.28891 (256*2π)/4192 weeks
257.20684 .05026 (257*2π)/4192 weeks
258.65484 -1.05276 (258*2π)/4192 weeks
2591.56471 .14588 (259*2π)/4192 weeks
260.07991 .65448 (260*2π)/4192 weeks
261.18881 -1.03073 (261*2π)/4192 weeks
2621.74186 -.34437 (262*2π)/4192 weeks
263.20849 .52232 (263*2π)/4192 weeks
264.51379 .25046 (264*2π)/4192 weeks
265.34153 .04093 (265*2π)/4192 weeks
266.55915 -.5779 (266*2π)/4192 weeks
267.4137 -.28419 (267*2π)/4192 weeks
268.79652 -.15923 (268*2π)/4192 weeks
269.5677 .27324 (269*2π)/4192 weeks
270.45297 .26527 (270*2π)/4192 weeks
271.38785 -.16491 (271*2π)/4192 weeks
272.4391 -.07039 (272*2π)/4192 weeks
273-.33362 .05052 (273*2π)/4192 weeks
274.5197 -.08267 (274*2π)/4192 weeks
275-.63781 -.83378 (275*2π)/4192 weeks
2761.02512 -.69961 (276*2π)/4192 weeks
277.63918 -.34403 (277*2π)/4192 weeks
278.79868 .01217 (278*2π)/4192 weeks
279-.19777 -.64601 (279*2π)/4192 weeks
280.87017 -.79027 (280*2π)/4191 weeks
281.918 .11349 (281*2π)/4191 weeks
282-.26671 -.41952 (282*2π)/4191 weeks
2831.27789 -.59582 (283*2π)/4191 weeks
284.70303 .32027 (284*2π)/4191 weeks
285.62394 .26346 (285*2π)/4191 weeks
286-.39438 -.67299 (286*2π)/4191 weeks
287.46643 .00057 (287*2π)/4191 weeks
288.22315 -.56801 (288*2π)/4191 weeks
2891.00636 -.47368 (289*2π)/4191 weeks
290.09594 .22883 (290*2π)/4191 weeks
291-.8795 -.80279 (291*2π)/4191 weeks
2921.71606 -1.71086 (292*2π)/4191 weeks
293.71121 .39396 (293*2π)/4191 weeks
294-.35579 .0988 (294*2π)/4191 weeks
295.69233 -1.19371 (295*2π)/4191 weeks
2961.04005 -.50738 (296*2π)/4191 weeks
297.28205 .83861 (297*2π)/4191 weeks
298-.77315 -1.2898 (298*2π)/4191 weeks
299.90384 -1.24364 (299*2π)/4191 weeks
3001.57237 -.65982 (300*2π)/4191 weeks
301-.29588 .06639 (301*2π)/4191 weeks
302.25006 -1.14676 (302*2π)/4191 weeks
3032.07861 -1.05723 (303*2π)/4191 weeks
304.6394 -.09846 (304*2π)/4191 weeks
305.63533 .79757 (305*2π)/4191 weeks
306-.5003 -.86466 (306*2π)/4191 weeks
3071.19244 -1.17444 (307*2π)/4191 weeks
3081.28764 -.11528 (308*2π)/4191 weeks
309-.10147 .93882 (309*2π)/4191 weeks
310-1.2589 -1.36843 (310*2π)/4191 weeks
3112.40939 -2.47451 (311*2π)/4191 weeks
312.59993 1.07505 (312*2π)/4191 weeks
313-.02599 -.93099 (313*2π)/4191 weeks
3141.52294 -.57349 (314*2π)/4191 weeks
315.90094 -.26967 (315*2π)/4191 weeks
316-.41006 -.28117 (316*2π)/4191 weeks
317-.02007 -.96954 (317*2π)/4191 weeks
3181.52837 -1.22985 (318*2π)/4191 weeks
3191.99018 -1.39467 (319*2π)/4191 weeks
320.02759 1.71257 (320*2π)/4191 weeks
321.00406 -2.00584 (321*2π)/4191 weeks
3222.123 -.18249 (322*2π)/4191 weeks
3231.58728 -.20977 (323*2π)/4191 weeks
324-.78238 -.3708 (324*2π)/4191 weeks
3251.85389 -.0267 (325*2π)/4191 weeks
326.65874 -1.40652 (326*2π)/4191 weeks
3271.79294 1.15908 (327*2π)/4191 weeks
328-.58347 .24792 (328*2π)/4191 weeks
329.7935 -.7949 (329*2π)/4191 weeks
330.73723 .36725 (330*2π)/4191 weeks
3311.33439 .4956 (331*2π)/4191 weeks
332-1.40067 -.55801 (332*2π)/4191 weeks
333.53455 -.47503 (333*2π)/4191 weeks
334-.19763 -.24254 (334*2π)/4191 weeks
3351.2744 -.75526 (335*2π)/4191 weeks
336-.79386 -.57498 (336*2π)/4191 weeks
3371.39985 -2.54227 (337*2π)/4191 weeks
3381.40862 2.44266 (338*2π)/4191 weeks
339-1.66947 -.56674 (339*2π)/4191 weeks
3401.42483 -2.30872 (340*2π)/4191 weeks
341.45586 .70912 (341*2π)/4191 weeks
342-.20648 .15629 (342*2π)/4191 weeks
343-.0128 -2.4769 (343*2π)/4191 weeks
3441.22833 -.38336 (344*2π)/4191 weeks
345.92728 -.43108 (345*2π)/4191 weeks
346.27089 1.04237 (346*2π)/4191 weeks
347-.99308 -.96228 (347*2π)/4191 weeks
348.88091 -1.94506 (348*2π)/4191 weeks
349.63352 -.18084 (349*2π)/4191 weeks
350-.67563 -.50543 (350*2π)/4191 weeks
351.67491 -1.2384 (351*2π)/4191 weeks
3521.32656 -.39788 (352*2π)/4191 weeks
353.69891 -.53004 (353*2π)/4191 weeks
354-.39164 -.19744 (354*2π)/4191 weeks
355-.01706 -.84737 (355*2π)/4191 weeks
356.0139 -.96991 (356*2π)/4191 weeks
357.95073 -.76678 (357*2π)/4191 weeks
358-.2136 .30908 (358*2π)/4191 weeks
359-.43424 -2.33222 (359*2π)/4191 weeks
3601.46988 2.10059 (360*2π)/4191 weeks
361-3.4327 -1.66988 (361*2π)/4191 weeks
362-.00763 -2.40852 (362*2π)/4191 weeks
3631.82466 -3.69006 (363*2π)/4191 weeks
364.76021 1.94898 (364*2π)/4191 weeks
365-1.96432 -1.09357 (365*2π)/4191 weeks
366-.32845 -3.54201 (366*2π)/4191 weeks
367.90877 -3.40315 (367*2π)/4191 weeks
3683.77617 .7443 (368*2π)/4191 weeks
369-2.13361 -1.10731 (369*2π)/4191 weeks
370.97525 -.36379 (370*2π)/4191 weeks
371-.45667 -2.65379 (371*2π)/4191 weeks
3721.12343 -.97501 (372*2π)/4191 weeks
373-.9987 -.24518 (373*2π)/4191 weeks
374.48998 -2.58307 (374*2π)/4191 weeks
375.74478 -.97849 (375*2π)/4191 weeks
376-.31333 -1.79139 (376*2π)/4191 weeks
377-1.07216 -1.41644 (377*2π)/4191 weeks
3782.5772 -3.56661 (378*2π)/4191 weeks
379-.47854 .36821 (379*2π)/4191 weeks
380-1.10151 -1.16114 (380*2π)/4191 weeks
381.26223 -3.28729 (381*2π)/4191 weeks
382-.32035 -.0434 (382*2π)/4191 weeks
383-1.74393 -4.11985 (383*2π)/4191 weeks
384.75204 -2.5397 (384*2π)/4191 weeks
385.02933 -2.64313 (385*2π)/4191 weeks
386-1.06244 -4.28711 (386*2π)/4191 weeks
3871.67693 -4.1551 (387*2π)/4191 weeks
3882.4652 -2.43855 (388*2π)/4191 weeks
389-.90252 -4.14341 (389*2π)/4191 weeks
3904.82317 -2.61353 (390*2π)/4191 weeks
391-3.28098 .01773 (391*2π)/4191 weeks
3923.6559 -8.22213 (392*2π)/4191 weeks
3932.3863 -1.33986 (393*2π)/4191 weeks
3944.74194 -2.53223 (394*2π)/4191 weeks
395-.19121 2.85669 (395*2π)/4191 weeks
396-1.73853 -4.37638 (396*2π)/4191 weeks
3974.3757 -6.3694 (397*2π)/4191 weeks
3982.70569 1.95491 (398*2π)/4191 weeks
399-6.03014 .92855 (399*2π)/4191 weeks
4002.64281 -7.8531 (400*2π)/4191 weeks
4014.29103 -1.60681 (401*2π)/4191 weeks
402-5.43007 1.14077 (402*2π)/4191 weeks
403-7.65528 -6.96913 (403*2π)/4191 weeks
4049.90807 -9.37574 (404*2π)/4191 weeks
405.09402 -1.17672 (405*2π)/4191 weeks
406-7.98572 -3.72938 (406*2π)/4191 weeks
407-4.24691 -12.62545 (407*2π)/4191 weeks
40812.96974 -13.92767 (408*2π)/4191 weeks
409-1.94567 6.42336 (409*2π)/4191 weeks
410-5.36063 -11.68498 (410*2π)/4191 weeks
411-8.14974 -26.88469 (411*2π)/4191 weeks
41236.60349 -13.34891 (412*2π)/4191 weeks
4132.29579 4.29247 (413*2π)/4191 weeks
414-8.42264 -9.32366 (414*2π)/4191 weeks
4155.01133 -10.03291 (415*2π)/4191 weeks
41615.14809 -29.2183 (416*2π)/4191 weeks
41715.35983 13.02573 (417*2π)/4191 weeks