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Fourier Analysis of XOM (Exxon Mobil Corporation)


XOM (Exxon Mobil Corporation) appears to have interesting cyclic behaviour every 189 weeks (2.6695*sine), 149 weeks (2.1493*sine), and 208 weeks (1.9704*sine).

XOM (Exxon Mobil Corporation) has an average price of 28.86 (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 3/17/1980 to 1/21/2020 for XOM (Exxon Mobil Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
028.86142   0 
19.29467 -32.79827 (1*2π)/20802,080 weeks
2-.39668 -13.37793 (2*2π)/20801,040 weeks
3-.77044 -7.55851 (3*2π)/2080693 weeks
4-.21008 -7.57723 (4*2π)/2080520 weeks
5-2.15439 -2.56142 (5*2π)/2080416 weeks
62.376 -3.08952 (6*2π)/2080347 weeks
7.37899 -5.05043 (7*2π)/2080297 weeks
8-1.26346 -3.43335 (8*2π)/2080260 weeks
9-.58607 -2.20457 (9*2π)/2080231 weeks
10.13137 -1.97035 (10*2π)/2080208 weeks
11-.40143 -2.66949 (11*2π)/2080189 weeks
12-.859 -.99961 (12*2π)/2080173 weeks
13.8088 -1.10577 (13*2π)/2080160 weeks
14.37668 -2.14932 (14*2π)/2080149 weeks
15-.1171 -1.81713 (15*2π)/2080139 weeks
16-.03988 -1.78358 (16*2π)/2080130 weeks
17-.62345 -1.80966 (17*2π)/2080122 weeks
18-.75038 -1.00147 (18*2π)/2080116 weeks
19-.23142 -.6924 (19*2π)/2080109 weeks
20-.22482 -.94631 (20*2π)/2080104 weeks
21-.0668 -.4983 (21*2π)/208099 weeks
22.37378 -.64943 (22*2π)/208095 weeks
23.51696 -1.18846 (23*2π)/208090 weeks
24-.05332 -1.38789 (24*2π)/208087 weeks
25-.42238 -1.12555 (25*2π)/208083 weeks
26-.28181 -.50414 (26*2π)/208080 weeks
27.24194 -.80796 (27*2π)/208077 weeks
28-.18038 -1.11313 (28*2π)/208074 weeks
29-.38851 -.678 (29*2π)/208072 weeks
30-.22069 -.48124 (30*2π)/208069 weeks
31.09063 -.41771 (31*2π)/208067 weeks
32.11341 -.78237 (32*2π)/208065 weeks
33-.09595 -.68157 (33*2π)/208063 weeks
34-.19229 -.51609 (34*2π)/208061 weeks
35.24452 -.38376 (35*2π)/208059 weeks
36.1902 -.88505 (36*2π)/208058 weeks
37-.2049 -.90926 (37*2π)/208056 weeks
38-.37367 -.50769 (38*2π)/208055 weeks
39-.14953 -.36204 (39*2π)/208053 weeks
40.0884 -.31508 (40*2π)/208052 weeks
41.03536 -.69028 (41*2π)/208051 weeks
42-.17276 -.47808 (42*2π)/208050 weeks
43-.0823 -.42824 (43*2π)/208048 weeks
44-.00342 -.32645 (44*2π)/208047 weeks
45.11802 -.57181 (45*2π)/208046 weeks
46-.23002 -.6103 (46*2π)/208045 weeks
47-.26942 -.24446 (47*2π)/208044 weeks
48-.01878 -.23629 (48*2π)/208043 weeks
49.03683 -.20782 (49*2π)/208042 weeks
50.09474 -.3422 (50*2π)/208042 weeks
51.10726 -.31658 (51*2π)/208041 weeks
52-.03367 -.46169 (52*2π)/208040 weeks
53.00492 -.05914 (53*2π)/208039 weeks
54.39306 -.31419 (54*2π)/208039 weeks
55.23108 -.53837 (55*2π)/208038 weeks
56.03001 -.55466 (56*2π)/208037 weeks
57.00546 -.34872 (57*2π)/208036 weeks
58.27484 -.43386 (58*2π)/208036 weeks
59.01507 -.61047 (59*2π)/208035 weeks
60.0738 -.48752 (60*2π)/208035 weeks
61-.05533 -.61327 (61*2π)/208034 weeks
62-.11251 -.51008 (62*2π)/208034 weeks
63-.2625 -.36729 (63*2π)/208033 weeks
64.05084 -.21416 (64*2π)/208033 weeks
65.09367 -.4312 (65*2π)/208032 weeks
66-.00416 -.56722 (66*2π)/208032 weeks
67-.21172 -.45235 (67*2π)/208031 weeks
68-.1656 -.3644 (68*2π)/208031 weeks
69-.06157 -.27687 (69*2π)/208030 weeks
70-.15071 -.44142 (70*2π)/208030 weeks
71-.18478 -.1948 (71*2π)/208029 weeks
72-.00635 -.26117 (72*2π)/208029 weeks
73-.13959 -.36326 (73*2π)/208028 weeks
74-.17272 -.11405 (74*2π)/208028 weeks
75.11274 -.15453 (75*2π)/208028 weeks
76-.01307 -.33927 (76*2π)/208027 weeks
77.02842 -.19718 (77*2π)/208027 weeks
78.08642 -.30252 (78*2π)/208027 weeks
79.11323 -.48547 (79*2π)/208026 weeks
80-.22351 -.48396 (80*2π)/208026 weeks
81-.20292 -.32919 (81*2π)/208026 weeks
82-.25395 -.15944 (82*2π)/208025 weeks
83-.08639 -.2312 (83*2π)/208025 weeks
84-.25746 -.06708 (84*2π)/208025 weeks
85.10871 .0168 (85*2π)/208024 weeks
86.1471 -.29941 (86*2π)/208024 weeks
87-.10918 -.31436 (87*2π)/208024 weeks
88-.10863 -.15869 (88*2π)/208024 weeks
89-.03047 -.12001 (89*2π)/208023 weeks
90-.00272 -.10746 (90*2π)/208023 weeks
91.14539 -.11189 (91*2π)/208023 weeks
92.07522 -.27454 (92*2π)/208023 weeks
93.08872 -.16475 (93*2π)/208022 weeks
94.15443 -.34171 (94*2π)/208022 weeks
95-.03013 -.37427 (95*2π)/208022 weeks
96-.0912 -.18526 (96*2π)/208022 weeks
97.15877 -.18788 (97*2π)/208021 weeks
98.0853 -.42273 (98*2π)/208021 weeks
99-.10849 -.37635 (99*2π)/208021 weeks
100-.12839 -.2261 (100*2π)/208021 weeks
101.0056 -.14811 (101*2π)/208021 weeks
102.09115 -.27362 (102*2π)/208020 weeks
103.01632 -.33436 (103*2π)/208020 weeks
104.00752 -.34148 (104*2π)/208020 weeks
105-.03237 -.42702 (105*2π)/208020 weeks
106-.23172 -.38755 (106*2π)/208020 weeks
107-.16061 -.26111 (107*2π)/208019 weeks
108-.29999 -.25266 (108*2π)/208019 weeks
109-.12564 -.05036 (109*2π)/208019 weeks
110-.14726 -.19465 (110*2π)/208019 weeks
111-.09651 -.04856 (111*2π)/208019 weeks
112-.00083 -.13034 (112*2π)/208019 weeks
113-.02785 -.23618 (113*2π)/208018 weeks
114-.18923 -.15119 (114*2π)/208018 weeks
115.00577 -.0528 (115*2π)/208018 weeks
116-.03943 -.21174 (116*2π)/208018 weeks
117-.08385 -.11485 (117*2π)/208018 weeks
118-.02458 -.11853 (118*2π)/208018 weeks
119-.00713 -.14945 (119*2π)/208017 weeks
120-.081 -.1394 (120*2π)/208017 weeks
121.02464 -.06601 (121*2π)/208017 weeks
122.07354 -.16437 (122*2π)/208017 weeks
123.01595 -.27351 (123*2π)/208017 weeks
124-.11154 -.15752 (124*2π)/208017 weeks
125.034 -.1563 (125*2π)/208017 weeks
126-.03152 -.22918 (126*2π)/208017 weeks
127-.11133 -.24416 (127*2π)/208016 weeks
128-.15987 -.0587 (128*2π)/208016 weeks
129.00141 -.05174 (129*2π)/208016 weeks
130.05196 -.10844 (130*2π)/208016 weeks
131.01337 -.21542 (131*2π)/208016 weeks
132-.07205 -.13679 (132*2π)/208016 weeks
133.01919 -.11732 (133*2π)/208016 weeks
134-.01842 -.19451 (134*2π)/208016 weeks
135-.06349 -.10971 (135*2π)/208015 weeks
136.04588 -.08372 (136*2π)/208015 weeks
137.00616 -.22243 (137*2π)/208015 weeks
138-.03674 -.05957 (138*2π)/208015 weeks
139.12353 -.16917 (139*2π)/208015 weeks
140-.03593 -.22662 (140*2π)/208015 weeks
141.01257 -.11787 (141*2π)/208015 weeks
142.09575 -.20172 (142*2π)/208015 weeks
143-.04449 -.28421 (143*2π)/208015 weeks
144-.01521 -.16083 (144*2π)/208014 weeks
145-.0125 -.27555 (145*2π)/208014 weeks
146-.13028 -.23319 (146*2π)/208014 weeks
147-.1232 -.13737 (147*2π)/208014 weeks
148-.06914 -.12055 (148*2π)/208014 weeks
149-.0588 -.10774 (149*2π)/208014 weeks
150-.01962 -.12524 (150*2π)/208014 weeks
151-.03427 -.12056 (151*2π)/208014 weeks
152-.00913 -.13963 (152*2π)/208014 weeks
153-.00406 -.11622 (153*2π)/208014 weeks
154.01776 -.18888 (154*2π)/208014 weeks
155-.02529 -.17825 (155*2π)/208013 weeks
156-.05779 -.1951 (156*2π)/208013 weeks
157-.09012 -.11032 (157*2π)/208013 weeks
158.05048 -.0737 (158*2π)/208013 weeks
159.02949 -.23086 (159*2π)/208013 weeks
160.00001 -.23025 (160*2π)/208013 weeks
161-.09064 -.26015 (161*2π)/208013 weeks
162-.14496 -.16405 (162*2π)/208013 weeks
163-.07729 -.13599 (163*2π)/208013 weeks
164-.08738 -.15443 (164*2π)/208013 weeks
165-.09644 -.1411 (165*2π)/208013 weeks
166-.12936 -.13631 (166*2π)/208013 weeks
167-.13578 -.00133 (167*2π)/208012 weeks
168.08928 -.00549 (168*2π)/208012 weeks
169.05674 -.24888 (169*2π)/208012 weeks
170-.14021 -.17977 (170*2π)/208012 weeks
171-.06539 -.08089 (171*2π)/208012 weeks
172-.01341 -.15634 (172*2π)/208012 weeks
173-.15106 -.13755 (173*2π)/208012 weeks
174-.02772 -.01664 (174*2π)/208012 weeks
175-.02409 -.15914 (175*2π)/208012 weeks
176-.08998 -.05542 (176*2π)/208012 weeks
177.03508 -.05368 (177*2π)/208012 weeks
178.05931 -.16101 (178*2π)/208012 weeks
179-.04223 -.24156 (179*2π)/208012 weeks
180-.13601 -.13676 (180*2π)/208012 weeks
181-.04243 -.09231 (181*2π)/208011 weeks
182-.0732 -.12994 (182*2π)/208011 weeks
183-.0291 -.12128 (183*2π)/208011 weeks
184-.09784 -.14729 (184*2π)/208011 weeks
185-.0563 -.12358 (185*2π)/208011 weeks
186-.1424 -.12321 (186*2π)/208011 weeks
187-.06765 -.06208 (187*2π)/208011 weeks
188-.11663 -.11265 (188*2π)/208011 weeks
189-.11863 -.02357 (189*2π)/208011 weeks
190-.0703 .0064 (190*2π)/208011 weeks
191.02142 -.0095 (191*2π)/208011 weeks
192.00907 -.10709 (192*2π)/208011 weeks
193-.06897 -.07795 (193*2π)/208011 weeks
194.00222 -.03628 (194*2π)/208011 weeks
195-.03433 -.09967 (195*2π)/208011 weeks
196.00534 -.04542 (196*2π)/208011 weeks
197-.01555 -.13115 (197*2π)/208011 weeks
198-.07746 -.08484 (198*2π)/208011 weeks
199-.05824 -.00351 (199*2π)/208010 weeks
200.05182 -.03389 (200*2π)/208010 weeks
201-.00317 -.10022 (201*2π)/208010 weeks
202-.02267 -.0266 (202*2π)/208010 weeks
203.10791 -.0597 (203*2π)/208010 weeks
204-.00398 -.17748 (204*2π)/208010 weeks
205-.01916 -.05743 (205*2π)/208010 weeks
206.03837 -.08492 (206*2π)/208010 weeks
207.0516 -.12891 (207*2π)/208010 weeks
208-.01242 -.18213 (208*2π)/208010 weeks
209-.07412 -.0916 (209*2π)/208010 weeks
210.04679 -.05916 (210*2π)/208010 weeks
211.00666 -.20244 (211*2π)/208010 weeks
212-.10467 -.07624 (212*2π)/208010 weeks
213.04833 -.04712 (213*2π)/208010 weeks
214.05288 -.14945 (214*2π)/208010 weeks
215-.03822 -.17972 (215*2π)/208010 weeks
216-.02823 -.09319 (216*2π)/208010 weeks
217.02171 -.15251 (217*2π)/208010 weeks
218-.06134 -.18745 (218*2π)/208010 weeks
219-.09281 -.11797 (219*2π)/20809 weeks
220-.06098 -.06967 (220*2π)/20809 weeks
221.00758 -.10266 (221*2π)/20809 weeks
222-.05383 -.14547 (222*2π)/20809 weeks
223-.057 -.10097 (223*2π)/20809 weeks
224-.0401 -.08254 (224*2π)/20809 weeks
225-.0196 -.15735 (225*2π)/20809 weeks
226-.13522 -.08389 (226*2π)/20809 weeks
227.00327 -.03149 (227*2π)/20809 weeks
228-.0094 -.13766 (228*2π)/20809 weeks
229-.08983 -.13135 (229*2π)/20809 weeks
230-.0939 -.02168 (230*2π)/20809 weeks
231.01095 -.04587 (231*2π)/20809 weeks
232-.00747 -.07694 (232*2π)/20809 weeks
233.00721 -.0968 (233*2π)/20809 weeks
234-.04129 -.1074 (234*2π)/20809 weeks
235-.00385 -.04941 (235*2π)/20809 weeks
236.03371 -.1153 (236*2π)/20809 weeks
237.00291 -.13821 (237*2π)/20809 weeks
238-.02022 -.1718 (238*2π)/20809 weeks
239-.08934 -.13086 (239*2π)/20809 weeks
240-.05779 -.10896 (240*2π)/20809 weeks
241-.09812 -.08344 (241*2π)/20809 weeks
242-.00398 -.01636 (242*2π)/20809 weeks
243.02921 -.12638 (243*2π)/20809 weeks
244-.01191 -.14162 (244*2π)/20809 weeks
245-.04196 -.17028 (245*2π)/20808 weeks
246-.10018 -.14625 (246*2π)/20808 weeks
247-.09703 -.12149 (247*2π)/20808 weeks
248-.13938 -.07397 (248*2π)/20808 weeks
249-.06868 -.00931 (249*2π)/20808 weeks
250-.01863 -.05233 (250*2π)/20808 weeks
251-.00267 -.09189 (251*2π)/20808 weeks
252-.06077 -.12662 (252*2π)/20808 weeks
253-.07993 -.09617 (253*2π)/20808 weeks
254-.09898 -.06728 (254*2π)/20808 weeks
255-.06249 -.01239 (255*2π)/20808 weeks
256-.00151 -.03919 (256*2π)/20808 weeks
257.00694 -.0853 (257*2π)/20808 weeks
258-.01894 -.1263 (258*2π)/20808 weeks
259-.09372 -.12702 (259*2π)/20808 weeks
260-.09085 -.02302 (260*2π)/20808 weeks
261.01041 -.05051 (261*2π)/20808 weeks
262-.02959 -.12847 (262*2π)/20808 weeks
263-.09252 -.08973 (263*2π)/20808 weeks
264-.05868 -.05845 (264*2π)/20808 weeks
265-.08224 -.07394 (265*2π)/20808 weeks
266-.06551 .00677 (266*2π)/20808 weeks
267.03518 -.0365 (267*2π)/20808 weeks
268-.03829 -.11953 (268*2π)/20808 weeks
269-.03486 -.01612 (269*2π)/20808 weeks
270.04182 -.11706 (270*2π)/20808 weeks
271-.09133 -.14038 (271*2π)/20808 weeks
272-.07703 -.03162 (272*2π)/20808 weeks
273-.02121 -.06824 (273*2π)/20808 weeks
274-.04137 -.06781 (274*2π)/20808 weeks
275-.04046 -.0723 (275*2π)/20808 weeks
276-.01845 -.0534 (276*2π)/20808 weeks
277-.01749 -.12908 (277*2π)/20808 weeks
278-.09924 -.09905 (278*2π)/20807 weeks
279-.08811 -.03167 (279*2π)/20807 weeks
280-.01255 -.00404 (280*2π)/20807 weeks
281.01254 -.11707 (281*2π)/20807 weeks
282-.07465 -.07551 (282*2π)/20807 weeks
283-.02538 -.08849 (283*2π)/20807 weeks
284-.06974 -.103 (284*2π)/20807 weeks
285-.09593 -.06782 (285*2π)/20807 weeks
286-.07301 -.05776 (286*2π)/20807 weeks
287-.12476 -.03369 (287*2π)/20807 weeks
288-.04611 .05837 (288*2π)/20807 weeks
289.03323 -.01285 (289*2π)/20807 weeks
290.02852 -.07221 (290*2π)/20807 weeks
291-.02814 -.12126 (291*2π)/20807 weeks
292-.08516 -.06267 (292*2π)/20807 weeks
293-.05898 -.02669 (293*2π)/20807 weeks
294.00092 -.00383 (294*2π)/20807 weeks
295.01187 -.111 (295*2π)/20807 weeks
296-.08445 -.08203 (296*2π)/20807 weeks
297-.0561 -.01469 (297*2π)/20807 weeks
298-.00584 -.02358 (298*2π)/20807 weeks
299.01367 -.08952 (299*2π)/20807 weeks
300-.0857 -.09044 (300*2π)/20807 weeks
301-.0446 -.01182 (301*2π)/20807 weeks
302-.02834 -.03893 (302*2π)/20807 weeks
303-.0029 -.04393 (303*2π)/20807 weeks
304-.02683 -.05643 (304*2π)/20807 weeks
305-.00956 -.06813 (305*2π)/20807 weeks
306-.04683 -.07421 (306*2π)/20807 weeks
307-.03685 -.04024 (307*2π)/20807 weeks
308-.02773 -.05148 (308*2π)/20807 weeks
309-.02751 -.06086 (309*2π)/20807 weeks
310-.05285 -.05017 (310*2π)/20807 weeks
311-.03413 -.03424 (311*2π)/20807 weeks
312-.03581 -.00477 (312*2π)/20807 weeks
313.03928 -.01619 (313*2π)/20807 weeks
314.0293 -.09012 (314*2π)/20807 weeks
315-.02105 -.09742 (315*2π)/20807 weeks
316-.03941 -.0723 (316*2π)/20807 weeks
317-.02197 -.04828 (317*2π)/20807 weeks
318-.00351 -.09576 (318*2π)/20807 weeks
319-.05607 -.06962 (319*2π)/20807 weeks
320-.0389 -.05608 (320*2π)/20807 weeks
321-.03323 -.05486 (321*2π)/20806 weeks
322-.02122 -.04064 (322*2π)/20806 weeks
323.00928 -.07758 (323*2π)/20806 weeks
324-.0374 -.11122 (324*2π)/20806 weeks
325-.0992 -.07398 (325*2π)/20806 weeks
326-.04341 .00959 (326*2π)/20806 weeks
327-.00144 -.0656 (327*2π)/20806 weeks
328-.04522 -.0671 (328*2π)/20806 weeks
329-.05541 -.02467 (329*2π)/20806 weeks
330.00993 -.02934 (330*2π)/20806 weeks
331-.01339 -.08733 (331*2π)/20806 weeks
332-.0817 -.05631 (332*2π)/20806 weeks
333-.0256 .0111 (333*2π)/20806 weeks
334.0223 -.03144 (334*2π)/20806 weeks
335.00434 -.0544 (335*2π)/20806 weeks
336.00775 -.05916 (336*2π)/20806 weeks
337.01342 -.05721 (337*2π)/20806 weeks
338.03434 -.1262 (338*2π)/20806 weeks
339-.08911 -.11044 (339*2π)/20806 weeks
340-.01747 -.02748 (340*2π)/20806 weeks
341.00579 -.09819 (341*2π)/20806 weeks
342-.05259 -.13545 (342*2π)/20806 weeks
343-.11498 -.05475 (343*2π)/20806 weeks
344-.03931 -.01265 (344*2π)/20806 weeks
345-.02069 -.05263 (345*2π)/20806 weeks
346-.03975 -.05413 (346*2π)/20806 weeks
347-.03647 -.04831 (347*2π)/20806 weeks
348-.03799 -.03574 (348*2π)/20806 weeks
349-.00806 -.03746 (349*2π)/20806 weeks
350-.0194 -.0556 (350*2π)/20806 weeks
351-.01276 -.04056 (351*2π)/20806 weeks
352.01522 -.05095 (352*2π)/20806 weeks
353.00811 -.10785 (353*2π)/20806 weeks
354-.04964 -.09585 (354*2π)/20806 weeks
355-.03543 -.05495 (355*2π)/20806 weeks
356-.01258 -.08397 (356*2π)/20806 weeks
357-.03692 -.0962 (357*2π)/20806 weeks
358-.07997 -.09127 (358*2π)/20806 weeks
359-.05692 -.03031 (359*2π)/20806 weeks
360-.03668 -.04464 (360*2π)/20806 weeks
361.0033 -.05308 (361*2π)/20806 weeks
362-.0262 -.10862 (362*2π)/20806 weeks
363-.06901 -.10096 (363*2π)/20806 weeks
364-.07257 -.05763 (364*2π)/20806 weeks
365-.06853 -.09132 (365*2π)/20806 weeks
366-.1173 -.04086 (366*2π)/20806 weeks
367-.08974 .01438 (367*2π)/20806 weeks
368.0017 .00634 (368*2π)/20806 weeks
369-.03737 -.06268 (369*2π)/20806 weeks
370-.05145 -.03962 (370*2π)/20806 weeks
371-.06231 .01437 (371*2π)/20806 weeks
372.04308 -.02723 (372*2π)/20806 weeks
373-.04396 -.07542 (373*2π)/20806 weeks
374-.02709 -.04361 (374*2π)/20806 weeks
375-.04439 -.03354 (375*2π)/20806 weeks
376-.00821 -.05989 (376*2π)/20806 weeks
377-.07612 -.05265 (377*2π)/20806 weeks
378-.03371 .00814 (378*2π)/20806 weeks
379-.00298 -.03699 (379*2π)/20805 weeks
380-.02311 -.03876 (380*2π)/20805 weeks
381-.01925 -.03331 (381*2π)/20805 weeks
382-.00314 -.03059 (382*2π)/20805 weeks
383.01301 -.05708 (383*2π)/20805 weeks
384-.02819 -.08859 (384*2π)/20805 weeks
385-.03054 -.03841 (385*2π)/20805 weeks
386-.01251 -.07892 (386*2π)/20805 weeks
387-.05742 -.05875 (387*2π)/20805 weeks
388-.03335 -.03854 (388*2π)/20805 weeks
389-.03239 -.03647 (389*2π)/20805 weeks
390.00018 -.04289 (390*2π)/20805 weeks
391-.02722 -.07971 (391*2π)/20805 weeks
392-.03781 -.04466 (392*2π)/20805 weeks
393-.02168 -.05074 (393*2π)/20805 weeks
394-.0167 -.06234 (394*2π)/20805 weeks
395-.05578 -.07005 (395*2π)/20805 weeks
396-.02024 -.00317 (396*2π)/20805 weeks
397.04015 -.09223 (397*2π)/20805 weeks
398-.07276 -.12161 (398*2π)/20805 weeks
399-.07326 -.04905 (399*2π)/20805 weeks
400-.04671 -.02808 (400*2π)/20805 weeks
401-.01544 -.07921 (401*2π)/20805 weeks
402-.08653 -.0451 (402*2π)/20805 weeks
403-.00749 -.04485 (403*2π)/20805 weeks
404-.06787 -.08289 (404*2π)/20805 weeks
405-.08136 -.04494 (405*2π)/20805 weeks
406-.06763 -.01158 (406*2π)/20805 weeks
407-.04515 -.02673 (407*2π)/20805 weeks
408-.054