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Fourier Analysis of CIE (Cobalt International Energy)


CIE (Cobalt International Energy) appears to have interesting cyclic behaviour every 38 weeks (15.4927*cosine), 35 weeks (13.0804*sine), and 28 weeks (11.1144*cosine).

CIE (Cobalt International Energy) has an average price of 184.24 (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 12/16/2009 to 1/16/2018 for CIE (Cobalt International Energy), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0184.2364   0 
1-122.3546 118.805 (1*2π)/423423 weeks
215.59507 -14.04981 (2*2π)/423212 weeks
317.62119 28.29156 (3*2π)/423141 weeks
45.40011 9.44699 (4*2π)/423106 weeks
5-6.9039 10.57165 (5*2π)/42385 weeks
63.12874 -3.56142 (6*2π)/42371 weeks
737.34983 8.17252 (7*2π)/42360 weeks
8-5.03354 28.99131 (8*2π)/42353 weeks
9-3.68093 10.96981 (9*2π)/42347 weeks
10-3.66007 -5.55735 (10*2π)/42342 weeks
1115.49269 10.51296 (11*2π)/42338 weeks
12-2.73095 13.08036 (12*2π)/42335 weeks
13-7.07291 5.0841 (13*2π)/42333 weeks
141.1571 .53554 (14*2π)/42330 weeks
1511.11438 4.5565 (15*2π)/42328 weeks
16-6.55721 8.75554 (16*2π)/42326 weeks
17-5.165 -.08187 (17*2π)/42325 weeks
185.07414 -.94249 (18*2π)/42324 weeks
194.52748 5.03959 (19*2π)/42322 weeks
20-6.43968 1.32819 (20*2π)/42321 weeks
212.39873 -3.07798 (21*2π)/42320 weeks
226.78502 3.43634 (22*2π)/42319 weeks
23-.42365 3.85692 (23*2π)/42318 weeks
24-1.79878 -2.5316 (24*2π)/42318 weeks
255.61215 -.15629 (25*2π)/42317 weeks
262.13181 1.36153 (26*2π)/42316 weeks
276.11531 4.52992 (27*2π)/42316 weeks
28-4.12743 2.52752 (28*2π)/42315 weeks
294.44273 -.84784 (29*2π)/42315 weeks
30.87779 4.57028 (30*2π)/42314 weeks
311.76299 .36073 (31*2π)/42314 weeks
321.91987 2.7803 (32*2π)/42313 weeks
33.06945 3.98599 (33*2π)/42313 weeks
34-.33123 1.39945 (34*2π)/42312 weeks
35.08891 1.35674 (35*2π)/42312 weeks
36-.13661 3.42913 (36*2π)/42312 weeks
37-2.17301 -.16305 (37*2π)/42311 weeks
381.17213 1.34183 (38*2π)/42311 weeks
39-1.65266 1.20182 (39*2π)/42311 weeks
40-1.03676 .0086 (40*2π)/42311 weeks
412.83407 -.28758 (41*2π)/42310 weeks
42-1.44245 2.42548 (42*2π)/42310 weeks
43-.08154 .74882 (43*2π)/42310 weeks
44-.40859 -.01851 (44*2π)/42310 weeks
45.55258 1.07537 (45*2π)/4239 weeks
46-1.71826 1.35578 (46*2π)/4239 weeks
47.35636 -.31786 (47*2π)/4239 weeks
48.74746 1.58312 (48*2π)/4239 weeks
49-1.39329 -.07516 (49*2π)/4239 weeks
50-.08325 2.02819 (50*2π)/4238 weeks
51-.47318 -2.81458 (51*2π)/4238 weeks
522.80511 2.52828 (52*2π)/4238 weeks
53.14434 2.43702 (53*2π)/4238 weeks
54-2.261 2.12981 (54*2π)/4238 weeks
55-2.19389 -.78061 (55*2π)/4238 weeks
563.03816 -.0665 (56*2π)/4238 weeks
57-.81532 2.63517 (57*2π)/4237 weeks
58-1.42147 2.99976 (58*2π)/4237 weeks
59-3.31051 -1.73624 (59*2π)/4237 weeks
602.05224 .83961 (60*2π)/4237 weeks
61-1.64822 .6072 (61*2π)/4237 weeks
62.18635 -.29648 (62*2π)/4237 weeks
63.15966 1.05988 (63*2π)/4237 weeks
64-.29382 .6919 (64*2π)/4237 weeks
65-.50178 .66766 (65*2π)/4237 weeks
66-.17294 -.35956 (66*2π)/4236 weeks
67-.01287 .27951 (67*2π)/4236 weeks
68.80194 1.09725 (68*2π)/4236 weeks
69.04205 1.58552 (69*2π)/4236 weeks
70-.30717 -.04802 (70*2π)/4236 weeks
71.83314 .28577 (71*2π)/4236 weeks
72-.32752 1.99797 (72*2π)/4236 weeks
73-1.39366 .32614 (73*2π)/4236 weeks
74.84134 -.54692 (74*2π)/4236 weeks
75.64119 .45948 (75*2π)/4236 weeks
761.4399 .84973 (76*2π)/4236 weeks
77-1.1859 1.81382 (77*2π)/4235 weeks
78-.04509 .09313 (78*2π)/4235 weeks
791.2451 -.61932 (79*2π)/4235 weeks
80.16903 2.62941 (80*2π)/4235 weeks
81-1.73641 -.21918 (81*2π)/4235 weeks
822.74729 -1.52667 (82*2π)/4235 weeks
83.39155 2.38638 (83*2π)/4235 weeks
84-.59521 -.01701 (84*2π)/4235 weeks
85.86331 1.29122 (85*2π)/4235 weeks
86.08727 .12758 (86*2π)/4235 weeks
87.61067 .67261 (87*2π)/4235 weeks
88-1.44384 -.2919 (88*2π)/4235 weeks
891.24543 -.02073 (89*2π)/4235 weeks
901.02876 -.33615 (90*2π)/4235 weeks
91.65795 .80455 (91*2π)/4235 weeks
92-.41363 -.67169 (92*2π)/4235 weeks
932.16783 -.94699 (93*2π)/4235 weeks
94.35377 1.03449 (94*2π)/4235 weeks
952.02247 .30796 (95*2π)/4234 weeks
96-.64523 -.23347 (96*2π)/4234 weeks
971.5031 .19812 (97*2π)/4234 weeks
982.2819 .24924 (98*2π)/4234 weeks
99-.13495 1.70837 (99*2π)/4234 weeks
100.39811 -1.99009 (100*2π)/4234 weeks
1011.86086 1.22804 (101*2π)/4234 weeks
1021.54614 1.08748 (102*2π)/4234 weeks
103.0356 .70297 (103*2π)/4234 weeks
104-.37304 .00042 (104*2π)/4234 weeks
105.9046 .02638 (105*2π)/4234 weeks
1061.51465 .30829 (106*2π)/4234 weeks
107-.02157 .6768 (107*2π)/4234 weeks
108.49734 -1.29789 (108*2π)/4234 weeks
1092.48378 2.04646 (109*2π)/4234 weeks
110-1.25988 1.20144 (110*2π)/4234 weeks
111-.29071 -1.17146 (111*2π)/4234 weeks
1121.21061 -.22816 (112*2π)/4234 weeks
1131.16606 .7777 (113*2π)/4234 weeks
114-.51051 .71059 (114*2π)/4234 weeks
115.28071 -1.09647 (115*2π)/4234 weeks
116.56909 -.04352 (116*2π)/4234 weeks
1172.00407 .40183 (117*2π)/4234 weeks
118.11895 .95993 (118*2π)/4234 weeks
119-.55347 -.00426 (119*2π)/4234 weeks
1201.43597 .06515 (120*2π)/4234 weeks
121.72246 .8615 (121*2π)/4233 weeks
122-.66552 1.2943 (122*2π)/4233 weeks
123-.40154 -1.01508 (123*2π)/4233 weeks
124.90801 .13183 (124*2π)/4233 weeks
125.63111 .74955 (125*2π)/4233 weeks
126-.79969 .11142 (126*2π)/4233 weeks
127.28162 -.45656 (127*2π)/4233 weeks
1281.80135 .76568 (128*2π)/4233 weeks
129-1.00151 1.23646 (129*2π)/4233 weeks
130-.35054 -.31904 (130*2π)/4233 weeks
131.72167 -.08875 (131*2π)/4233 weeks
132-.00209 .50458 (132*2π)/4233 weeks
133-.14847 -.0369 (133*2π)/4233 weeks
134-.09258 .84509 (134*2π)/4233 weeks
135-.00347 -.62741 (135*2π)/4233 weeks
136.17005 -.27092 (136*2π)/4233 weeks
137.96846 .11065 (137*2π)/4233 weeks
138-.19618 .97923 (138*2π)/4233 weeks
139.3137 -.34313 (139*2π)/4233 weeks
140.79183 .51721 (140*2π)/4233 weeks
141-.03051 .94299 (141*2π)/4233 weeks
142.09689 -.29765 (142*2π)/4233 weeks
143.38912 .35765 (143*2π)/4233 weeks
144.55684 .36542 (144*2π)/4233 weeks
145-.1626 1.45387 (145*2π)/4233 weeks
146-.24824 -.21409 (146*2π)/4233 weeks
147-.3157 .60769 (147*2π)/4233 weeks
148.23945 -.20529 (148*2π)/4233 weeks
149.19776 .05514 (149*2π)/4233 weeks
150-.05533 -.05362 (150*2π)/4233 weeks
151.28252 -.01062 (151*2π)/4233 weeks
152.70877 .06386 (152*2π)/4233 weeks
153.55106 .43873 (153*2π)/4233 weeks
154.55938 .19498 (154*2π)/4233 weeks
155-.08618 .26493 (155*2π)/4233 weeks
156.13716 .04432 (156*2π)/4233 weeks
157.35354 .16118 (157*2π)/4233 weeks
1581.20987 -.7013 (158*2π)/4233 weeks
159.96622 1.10205 (159*2π)/4233 weeks
160-.45197 .32195 (160*2π)/4233 weeks
161.84465 -.67233 (161*2π)/4233 weeks
1621.40197 .74169 (162*2π)/4233 weeks
163.03858 .71252 (163*2π)/4233 weeks
164.66577 .03177 (164*2π)/4233 weeks
165.4545 -.05139 (165*2π)/4233 weeks
1661.20996 .28911 (166*2π)/4233 weeks
167.09787 1.69342 (167*2π)/4233 weeks
168.13759 -.57508 (168*2π)/4233 weeks
169.94175 -.07721 (169*2π)/4233 weeks
170.4227 1.32721 (170*2π)/4232 weeks
171-.39143 .5602 (171*2π)/4232 weeks
172.10238 -1.22966 (172*2π)/4232 weeks
1731.1905 .1121 (173*2π)/4232 weeks
174.29331 .89022 (174*2π)/4232 weeks
175-.29255 .20819 (175*2π)/4232 weeks
176.65273 -1.6573 (176*2π)/4232 weeks
1771.11885 .21896 (177*2π)/4232 weeks
178.82327 1.30033 (178*2π)/4232 weeks
179-.0459 -.84402 (179*2π)/4232 weeks
180.91341 .02903 (180*2π)/4232 weeks
181.48634 .38168 (181*2π)/4232 weeks
182.41664 -.46969 (182*2π)/4232 weeks
1831.47302 .51436 (183*2π)/4232 weeks
184-.35278 .70781 (184*2π)/4232 weeks
185.42904 -.83868 (185*2π)/4232 weeks
1861.1018 .84912 (186*2π)/4232 weeks
187-.54145 .19141 (187*2π)/4232 weeks
188.59381 -.38838 (188*2π)/4232 weeks
189.62323 .1461 (189*2π)/4232 weeks
190-.56625 .08979 (190*2π)/4232 weeks
191.95182 -.40255 (191*2π)/4232 weeks
192.00379 -.22015 (192*2π)/4232 weeks
1931.21002 .27873 (193*2π)/4232 weeks
194-.43748 -.11189 (194*2π)/4232 weeks
195.59858 -.05171 (195*2π)/4232 weeks
196.55343 -.53207 (196*2π)/4232 weeks
197.67331 .902 (197*2π)/4232 weeks
198-.79329 .10719 (198*2π)/4232 weeks
199.9394 -1.4493 (199*2π)/4232 weeks
200.62918 1.08612 (200*2π)/4232 weeks
201.22613 -.16728 (201*2π)/4232 weeks
202.32851 .0577 (202*2π)/4232 weeks
203.26585 .10703 (203*2π)/4232 weeks
204.60679 .5488 (204*2π)/4232 weeks
205-.39235 -.17182 (205*2π)/4232 weeks
206.62312 .43229 (206*2π)/4232 weeks
207-.0853 .02188 (207*2π)/4232 weeks
208.06263 .68453 (208*2π)/4232 weeks
209-.19927 -.27604 (209*2π)/4232 weeks
210.48556 .26761 (210*2π)/4232 weeks
211-.74323 1.18394 (211*2π)/4232 weeks
212-.74323 -1.18394 (212*2π)/4232 weeks
213.48556 -.26761 (213*2π)/4232 weeks
214-.19927 .27604 (214*2π)/4232 weeks
215.06263 -.68453 (215*2π)/4232 weeks
216-.0853 -.02188 (216*2π)/4232 weeks
217.62312 -.43229 (217*2π)/4232 weeks
218-.39235 .17182 (218*2π)/4232 weeks
219.60679 -.5488 (219*2π)/4232 weeks
220.26585 -.10703 (220*2π)/4232 weeks
221.32851 -.0577 (221*2π)/4232 weeks
222.22613 .16728 (222*2π)/4232 weeks
223.62918 -1.08612 (223*2π)/4232 weeks
224.9394 1.4493 (224*2π)/4232 weeks
225-.79329 -.10719 (225*2π)/4232 weeks
226.67331 -.902 (226*2π)/4232 weeks
227.55343 .53207 (227*2π)/4232 weeks
228.59858 .05171 (228*2π)/4232 weeks
229-.43748 .11189 (229*2π)/4232 weeks
2301.21002 -.27873 (230*2π)/4232 weeks
231.00379 .22015 (231*2π)/4232 weeks
232.95182 .40255 (232*2π)/4232 weeks
233-.56625 -.08979 (233*2π)/4232 weeks
234.62323 -.1461 (234*2π)/4232 weeks
235.59381 .38838 (235*2π)/4232 weeks
236-.54145 -.19141 (236*2π)/4232 weeks
2371.1018 -.84912 (237*2π)/4232 weeks
238.42904 .83868 (238*2π)/4232 weeks
239-.35278 -.70781 (239*2π)/4232 weeks
2401.47302 -.51436 (240*2π)/4232 weeks
241.41664 .46969 (241*2π)/4232 weeks
242.48634 -.38168 (242*2π)/4232 weeks
243.91341 -.02903 (243*2π)/4232 weeks
244-.0459 .84402 (244*2π)/4232 weeks
245.82327 -1.30033 (245*2π)/4232 weeks
2461.11885 -.21896 (246*2π)/4232 weeks
247.65273 1.6573 (247*2π)/4232 weeks
248-.29255 -.20819 (248*2π)/4232 weeks
249.29331 -.89022 (249*2π)/4232 weeks
2501.1905 -.1121 (250*2π)/4232 weeks
251.10238 1.22966 (251*2π)/4232 weeks
252-.39143 -.5602 (252*2π)/4232 weeks
253.4227 -1.32721 (253*2π)/4232 weeks
254.94175 .07721 (254*2π)/4232 weeks
255.13759 .57508 (255*2π)/4232 weeks
256.09787 -1.69342 (256*2π)/4232 weeks
2571.20996 -.28911 (257*2π)/4232 weeks
258.4545 .05139 (258*2π)/4232 weeks
259.66577 -.03177 (259*2π)/4232 weeks
260.03858 -.71252 (260*2π)/4232 weeks
2611.40197 -.74169 (261*2π)/4232 weeks
262.84465 .67233 (262*2π)/4232 weeks
263-.45197 -.32195 (263*2π)/4232 weeks
264.96622 -1.10205 (264*2π)/4232 weeks
2651.20987 .7013 (265*2π)/4232 weeks
266.35354 -.16118 (266*2π)/4232 weeks
267.13716 -.04432 (267*2π)/4232 weeks
268-.08618 -.26493 (268*2π)/4232 weeks
269.55938 -.19498 (269*2π)/4232 weeks
270.55106 -.43873 (270*2π)/4232 weeks
271.70877 -.06386 (271*2π)/4232 weeks
272.28252 .01062 (272*2π)/4232 weeks
273-.05533 .05362 (273*2π)/4232 weeks
274.19776 -.05514 (274*2π)/4232 weeks
275.23945 .20529 (275*2π)/4232 weeks
276-.3157 -.60769 (276*2π)/4232 weeks
277-.24824 .21409 (277*2π)/4232 weeks
278-.1626 -1.45387 (278*2π)/4232 weeks
279.55684 -.36542 (279*2π)/4232 weeks
280.38912 -.35765 (280*2π)/4232 weeks
281.09689 .29765 (281*2π)/4232 weeks
282-.03051 -.94299 (282*2π)/4232 weeks
283.79183 -.51721 (283*2π)/4231 weeks
284.3137 .34313 (284*2π)/4231 weeks
285-.19618 -.97923 (285*2π)/4231 weeks
286.96846 -.11065 (286*2π)/4231 weeks
287.17005 .27092 (287*2π)/4231 weeks
288-.00347 .62741 (288*2π)/4231 weeks
289-.09258 -.84509 (289*2π)/4231 weeks
290-.14847 .0369 (290*2π)/4231 weeks
291-.00209 -.50458 (291*2π)/4231 weeks
292.72167 .08875 (292*2π)/4231 weeks
293-.35054 .31904 (293*2π)/4231 weeks
294-1.00151 -1.23646 (294*2π)/4231 weeks
2951.80135 -.76568 (295*2π)/4231 weeks
296.28162 .45656 (296*2π)/4231 weeks
297-.79969 -.11142 (297*2π)/4231 weeks
298.63111 -.74955 (298*2π)/4231 weeks
299.90801 -.13183 (299*2π)/4231 weeks
300-.40154 1.01508 (300*2π)/4231 weeks
301-.66552 -1.2943 (301*2π)/4231 weeks
302.72246 -.8615 (302*2π)/4231 weeks
3031.43597 -.06515 (303*2π)/4231 weeks
304-.55347 .00426 (304*2π)/4231 weeks
305.11895 -.95993 (305*2π)/4231 weeks
3062.00407 -.40183 (306*2π)/4231 weeks
307.56909 .04352 (307*2π)/4231 weeks
308.28071 1.09647 (308*2π)/4231 weeks
309-.51051 -.71059 (309*2π)/4231 weeks
3101.16606 -.7777 (310*2π)/4231 weeks
3111.21061 .22816 (311*2π)/4231 weeks
312-.29071 1.17146 (312*2π)/4231 weeks
313-1.25988 -1.20144 (313*2π)/4231 weeks
3142.48378 -2.04646 (314*2π)/4231 weeks
315.49734 1.29789 (315*2π)/4231 weeks
316-.02157 -.6768 (316*2π)/4231 weeks
3171.51465 -.30829 (317*2π)/4231 weeks
318.9046 -.02638 (318*2π)/4231 weeks
319-.37304 -.00042 (319*2π)/4231 weeks
320.0356 -.70297 (320*2π)/4231 weeks
3211.54614 -1.08748 (321*2π)/4231 weeks
3221.86086 -1.22804 (322*2π)/4231 weeks
323.39811 1.99009 (323*2π)/4231 weeks
324-.13495 -1.70837 (324*2π)/4231 weeks
3252.2819 -.24924 (325*2π)/4231 weeks
3261.5031 -.19812 (326*2π)/4231 weeks
327-.64523 .23347 (327*2π)/4231 weeks
3282.02247 -.30796 (328*2π)/4231 weeks
329.35377 -1.03449 (329*2π)/4231 weeks
3302.16783 .94699 (330*2π)/4231 weeks
331-.41363 .67169 (331*2π)/4231 weeks
332.65795 -.80455 (332*2π)/4231 weeks
3331.02876 .33615 (333*2π)/4231 weeks
3341.24543 .02073 (334*2π)/4231 weeks
335-1.44384 .2919 (335*2π)/4231 weeks
336.61067 -.67261 (336*2π)/4231 weeks
337.08727 -.12758 (337*2π)/4231 weeks
338.86331 -1.29122 (338*2π)/4231 weeks
339-.59521 .01701 (339*2π)/4231 weeks
340.39155 -2.38638 (340*2π)/4231 weeks
3412.74729 1.52667 (341*2π)/4231 weeks
342-1.73641 .21918 (342*2π)/4231 weeks
343.16903 -2.62941 (343*2π)/4231 weeks
3441.2451 .61932 (344*2π)/4231 weeks
345-.04509 -.09313 (345*2π)/4231 weeks
346-1.1859 -1.81382 (346*2π)/4231 weeks
3471.4399 -.84973 (347*2π)/4231 weeks
348.64119 -.45948 (348*2π)/4231 weeks
349.84134 .54692 (349*2π)/4231 weeks
350-1.39366 -.32614 (350*2π)/4231 weeks
351-.32752 -1.99797 (351*2π)/4231 weeks
352.83314 -.28577 (352*2π)/4231 weeks
353-.30717 .04802 (353*2π)/4231 weeks
354.04205 -1.58552 (354*2π)/4231 weeks
355.80194 -1.09725 (355*2π)/4231 weeks
356-.01287 -.27951 (356*2π)/4231 weeks
357-.17294 .35956 (357*2π)/4231 weeks
358-.50178 -.66766 (358*2π)/4231 weeks
359-.29382 -.6919 (359*2π)/4231 weeks
360.15966 -1.05988 (360*2π)/4231 weeks
361.18635 .29648 (361*2π)/4231 weeks
362-1.64822 -.6072 (362*2π)/4231 weeks
3632.05224 -.83961 (363*2π)/4231 weeks
364-3.31051 1.73624 (364*2π)/4231 weeks
365-1.42147 -2.99976 (365*2π)/4231 weeks
366-.81532 -2.63517 (366*2π)/4231 weeks
3673.03816 .0665 (367*2π)/4231 weeks
368-2.19389 .78061 (368*2π)/4231 weeks
369-2.261 -2.12981 (369*2π)/4231 weeks
370.14434 -2.43702 (370*2π)/4231 weeks
3712.80511 -2.52828 (371*2π)/4231 weeks
372-.47318 2.81458 (372*2π)/4231 weeks
373-.08325 -2.02819 (373*2π)/4231 weeks
374-1.39329 .07516 (374*2π)/4231 weeks
375.74746 -1.58312 (375*2π)/4231 weeks
376.35636 .31786 (376*2π)/4231 weeks
377-1.71826 -1.35578 (377*2π)/4231 weeks
378.55258 -1.07537 (378*2π)/4231 weeks
379-.40859 .01851 (379*2π)/4231 weeks
380-.08154 -.74882 (380*2π)/4231 weeks
381-1.44245 -2.42548 (381*2π)/4231 weeks
3822.83407 .28758 (382*2π)/4231 weeks
383-1.03676 -.0086 (383*2π)/4231 weeks
384-1.65266 -1.20182 (384*2π)/4231 weeks
3851.17213 -1.34183 (385*2π)/4231 weeks
386-2.17301 .16305 (386*2π)/4231 weeks
387-.13661 -3.42913 (387*2π)/4231 weeks
388.08891 -1.35674 (388*2π)/4231 weeks
389-.33123 -1.39945 (389*2π)/4231 weeks
390.06945 -3.98599 (390*2π)/4231 weeks
3911.91987 -2.7803 (391*2π)/4231 weeks
3921.76299 -.36073 (392*2π)/4231 weeks
393.87779 -4.57028 (393*2π)/4231 weeks
3944.44273 .84784 (394*2π)/4231 weeks
395-4.12743 -2.52752 (395*2π)/4231 weeks
3966.11531 -4.52992 (396*2π)/4231 weeks
3972.13181 -1.36153 (397*2π)/4231 weeks
3985.61215 .15629 (398*2π)/4231 weeks
399-1.79878 2.5316 (399*2π)/4231 weeks
400-.42365 -3.85692 (400*2π)/4231 weeks
4016.78502 -3.43634 (401*2π)/4231 weeks
4022.39873 3.07798 (402*2π)/4231 weeks
403-6.43968 -1.32819 (403*2π)/4231 weeks
4044.52748 -5.03959 (404*2π)/4231 weeks
4055.07414 .94249 (405*2π)/4231 weeks
406-5.165 .08187 (406*2π)/4231 weeks
407-6.55721 -8.75554 (407*2π)/4231 weeks
40811.11438 -4.5565 (408*2π)/4231 weeks
4091.1571 -.53554 (409*2π)/4231 weeks
410-7.07291 -5.0841 (410*2π)/4231 weeks
411-2.73095 -13.08036 (411*2π)/4231 weeks
41215.49269 -10.51296 (412*2π)/4231 weeks
413-3.66007 5.55735 (413*2π)/4231 weeks
414-3.68093 -10.96981 (414*2π)/4231 weeks
415-5.03354 -28.99131 (415*2π)/4231 weeks
41637.34983 -8.17252 (416*2π)/4231 weeks
4173.12874 3.56142 (417*2π)/4231 weeks
418-6.9039 -10.57165 (418*2π)/4231 weeks
4195.40011 -9.44699 (419*2π)/4231 weeks
42017.62119 -28.29156 (420*2π)/4231 weeks
42115.59507 14.04981 (421*2π)/4231 weeks



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