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Fourier Analysis of XOM (Exxon Mobil Corporation)


XOM (Exxon Mobil Corporation) appears to have interesting cyclic behaviour every 188 weeks (2.7081*sine), 122 weeks (2.015*sine), and 148 weeks (1.9947*sine).

XOM (Exxon Mobil Corporation) has an average price of 29.97 (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 11/18/2019 for XOM (Exxon Mobil Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
029.96934   0 
19.28993 -31.25399 (1*2π)/20712,071 weeks
2-.9361 -13.65715 (2*2π)/20711,036 weeks
3-.68482 -7.63222 (3*2π)/2071690 weeks
4-.08641 -7.58244 (4*2π)/2071518 weeks
5-2.37553 -2.65535 (5*2π)/2071414 weeks
62.38441 -2.76067 (6*2π)/2071345 weeks
7.65838 -4.81323 (7*2π)/2071296 weeks
8-1.13614 -3.5829 (8*2π)/2071259 weeks
9-.6105 -2.29841 (9*2π)/2071230 weeks
10.17234 -1.93886 (10*2π)/2071207 weeks
11-.23853 -2.70812 (11*2π)/2071188 weeks
12-1.02523 -1.17165 (12*2π)/2071173 weeks
13.61857 -.87236 (13*2π)/2071159 weeks
14.50039 -1.99473 (14*2π)/2071148 weeks
15.02695 -1.8108 (15*2π)/2071138 weeks
16.12434 -1.76221 (16*2π)/2071129 weeks
17-.40333 -2.01496 (17*2π)/2071122 weeks
18-.76929 -1.26395 (18*2π)/2071115 weeks
19-.43719 -.81069 (19*2π)/2071109 weeks
20-.33205 -1.06421 (20*2π)/2071104 weeks
21-.31534 -.54836 (21*2π)/207199 weeks
22.16246 -.46633 (22*2π)/207194 weeks
23.58863 -.87144 (23*2π)/207190 weeks
24.20282 -1.29055 (24*2π)/207186 weeks
25-.23739 -1.28023 (25*2π)/207183 weeks
26-.41326 -.65977 (26*2π)/207180 weeks
27.21498 -.69234 (27*2π)/207177 weeks
28.03344 -1.15558 (28*2π)/207174 weeks
29-.35119 -.88988 (29*2π)/207171 weeks
30-.37329 -.64951 (30*2π)/207169 weeks
31-.13126 -.41236 (31*2π)/207167 weeks
32.12057 -.68919 (32*2π)/207165 weeks
33-.06972 -.69798 (33*2π)/207163 weeks
34-.28527 -.62895 (34*2π)/207161 weeks
35.01768 -.22691 (35*2π)/207159 weeks
36.30323 -.64326 (36*2π)/207158 weeks
37.08564 -.94227 (37*2π)/207156 weeks
38-.29298 -.77259 (38*2π)/207155 weeks
39-.25401 -.53235 (39*2π)/207153 weeks
40-.12053 -.28489 (40*2π)/207152 weeks
41.09457 -.62266 (41*2π)/207151 weeks
42-.15068 -.60595 (42*2π)/207149 weeks
43-.13576 -.52863 (43*2π)/207148 weeks
44-.15971 -.36024 (44*2π)/207147 weeks
45.1376 -.43829 (45*2π)/207146 weeks
46-.04628 -.72729 (46*2π)/207145 weeks
47-.35673 -.56112 (47*2π)/207144 weeks
48-.21762 -.38655 (48*2π)/207143 weeks
49-.22734 -.2686 (49*2π)/207142 weeks
50-.10161 -.30334 (50*2π)/207141 weeks
51-.08424 -.24436 (51*2π)/207141 weeks
52-.06046 -.49627 (52*2π)/207140 weeks
53-.38225 -.19631 (53*2π)/207139 weeks
54.02247 .0025 (54*2π)/207138 weeks
55.14957 -.16824 (55*2π)/207138 weeks
56.08026 -.37573 (56*2π)/207137 weeks
57-.09995 -.29638 (57*2π)/207136 weeks
58.13211 -.06583 (58*2π)/207136 weeks
59.13557 -.3466 (59*2π)/207135 weeks
60.12859 -.22792 (60*2π)/207135 weeks
61.19277 -.40259 (61*2π)/207134 weeks
62.14182 -.42393 (62*2π)/207133 weeks
63-.09963 -.5492 (63*2π)/207133 weeks
64-.10353 -.20203 (64*2π)/207132 weeks
65.07283 -.18009 (65*2π)/207132 weeks
66.21957 -.30248 (66*2π)/207131 weeks
67.06551 -.46748 (67*2π)/207131 weeks
68.02777 -.45735 (68*2π)/207130 weeks
69-.01652 -.28688 (69*2π)/207130 weeks
70.10235 -.46882 (70*2π)/207130 weeks
71-.13514 -.41643 (71*2π)/207129 weeks
72-.0392 -.27701 (72*2π)/207129 weeks
73.04137 -.45331 (73*2π)/207128 weeks
74-.22744 -.433 (74*2π)/207128 weeks
75-.14764 -.16248 (75*2π)/207128 weeks
76-.02205 -.30774 (76*2π)/207127 weeks
77-.14205 -.1964 (77*2π)/207127 weeks
78-.07801 -.13419 (78*2π)/207127 weeks
79.19074 -.07173 (79*2π)/207126 weeks
80.18187 -.3781 (80*2π)/207126 weeks
81.13423 -.3954 (81*2π)/207126 weeks
82-.08657 -.45581 (82*2π)/207125 weeks
83.05002 -.37325 (83*2π)/207125 weeks
84-.19759 -.56559 (84*2π)/207125 weeks
85-.29149 -.20928 (85*2π)/207124 weeks
86-.01279 -.10435 (86*2π)/207124 weeks
87.02378 -.3258 (87*2π)/207124 weeks
88-.08573 -.36739 (88*2π)/207124 weeks
89-.13132 -.32562 (89*2π)/207123 weeks
90-.18803 -.32583 (90*2π)/207123 weeks
91-.21814 -.1365 (91*2π)/207123 weeks
92-.08875 -.1977 (92*2π)/207123 weeks
93-.21612 -.14209 (93*2π)/207122 weeks
94-.03873 -.03422 (94*2π)/207122 weeks
95.0613 -.17421 (95*2π)/207122 weeks
96-.12238 -.30655 (96*2π)/207122 weeks
97-.17905 -.04809 (97*2π)/207121 weeks
98.04337 -.01615 (98*2π)/207121 weeks
99.0947 -.18081 (99*2π)/207121 weeks
100-.00654 -.28416 (100*2π)/207121 weeks
101-.14871 -.20237 (101*2π)/207121 weeks
102-.09131 -.07763 (102*2π)/207120 weeks
103-.03721 -.08841 (103*2π)/207120 weeks
104-.02286 -.04014 (104*2π)/207120 weeks
105.11235 .01352 (105*2π)/207120 weeks
106.18304 -.17918 (106*2π)/207120 weeks
107.14189 -.12312 (107*2π)/207119 weeks
108.19608 -.34613 (108*2π)/207119 weeks
109-.01649 -.25188 (109*2π)/207119 weeks
110.10184 -.31202 (110*2π)/207119 weeks
111-.05068 -.31064 (111*2π)/207119 weeks
112-.07255 -.20702 (112*2π)/207118 weeks
113.05394 -.13845 (113*2π)/207118 weeks
114.05241 -.34994 (114*2π)/207118 weeks
115-.10219 -.21455 (115*2π)/207118 weeks
116.02953 -.20055 (116*2π)/207118 weeks
117-.02094 -.26292 (117*2π)/207118 weeks
118-.04797 -.23489 (118*2π)/207118 weeks
119-.03503 -.18128 (119*2π)/207117 weeks
120-.00506 -.29033 (120*2π)/207117 weeks
121-.12676 -.25259 (121*2π)/207117 weeks
122-.14061 -.15473 (122*2π)/207117 weeks
123.00427 -.0835 (123*2π)/207117 weeks
124-.02616 -.24804 (124*2π)/207117 weeks
125-.08575 -.13449 (125*2π)/207117 weeks
126-.03103 -.10361 (126*2π)/207116 weeks
127.11658 -.12556 (127*2π)/207116 weeks
128.02974 -.30263 (128*2π)/207116 weeks
129-.06276 -.27272 (129*2π)/207116 weeks
130-.12404 -.19475 (130*2π)/207116 weeks
131-.02354 -.12494 (131*2π)/207116 weeks
132-.02139 -.2266 (132*2π)/207116 weeks
133-.09206 -.17957 (133*2π)/207116 weeks
134.00143 -.14621 (134*2π)/207115 weeks
135-.01105 -.2441 (135*2π)/207115 weeks
136-.13514 -.20415 (136*2π)/207115 weeks
137.02101 -.1432 (137*2π)/207115 weeks
138-.0967 -.29361 (138*2π)/207115 weeks
139-.15081 -.11836 (139*2π)/207115 weeks
140-.02009 -.17367 (140*2π)/207115 weeks
141-.11022 -.22571 (141*2π)/207115 weeks
142-.18425 -.09036 (142*2π)/207115 weeks
143-.02966 -.10557 (143*2π)/207114 weeks
144-.13899 -.12822 (144*2π)/207114 weeks
145-.08244 -.01714 (145*2π)/207114 weeks
146.01863 -.05714 (146*2π)/207114 weeks
147.02034 -.12607 (147*2π)/207114 weeks
148.00637 -.13547 (148*2π)/207114 weeks
149-.01206 -.16876 (149*2π)/207114 weeks
150-.02646 -.14952 (150*2π)/207114 weeks
151-.03322 -.17567 (151*2π)/207114 weeks
152-.02636 -.15971 (152*2π)/207114 weeks
153-.08373 -.1907 (153*2π)/207114 weeks
154-.07801 -.12378 (154*2π)/207113 weeks
155-.08531 -.11446 (155*2π)/207113 weeks
156-.01387 -.07583 (156*2π)/207113 weeks
157.02092 -.20033 (157*2π)/207113 weeks
158-.12818 -.21409 (158*2π)/207113 weeks
159-.12993 -.12536 (159*2π)/207113 weeks
160-.15549 -.0777 (160*2π)/207113 weeks
161-.06305 -.001 (161*2π)/207113 weeks
162-.01411 -.08173 (162*2π)/207113 weeks
163-.0406 -.08011 (163*2π)/207113 weeks
164-.0312 -.06541 (164*2π)/207113 weeks
165-.02972 -.05223 (165*2π)/207113 weeks
166.06959 -.01779 (166*2π)/207112 weeks
167.122 -.21949 (167*2π)/207112 weeks
168-.11452 -.26176 (168*2π)/207112 weeks
169-.13572 -.03224 (169*2π)/207112 weeks
170.00892 -.07745 (170*2π)/207112 weeks
171-.03157 -.15158 (171*2π)/207112 weeks
172-.08887 -.0357 (172*2π)/207112 weeks
173.07739 -.07787 (173*2π)/207112 weeks
174-.04615 -.16845 (174*2π)/207112 weeks
175-.00631 -.04873 (175*2π)/207112 weeks
176.05524 -.15731 (176*2π)/207112 weeks
177-.03725 -.22203 (177*2π)/207112 weeks
178-.14522 -.16612 (178*2π)/207112 weeks
179-.0977 -.03106 (179*2π)/207112 weeks
180.00238 -.08 (180*2π)/207112 weeks
181-.06156 -.09649 (181*2π)/207111 weeks
182-.02343 -.11233 (182*2π)/207111 weeks
183-.0918 -.08778 (183*2π)/207111 weeks
184-.03243 -.08995 (184*2π)/207111 weeks
185-.09257 -.03768 (185*2π)/207111 weeks
186.0071 -.044 (186*2π)/207111 weeks
187-.06335 -.05635 (187*2π)/207111 weeks
188-.00334 .00706 (188*2π)/207111 weeks
189.04667 -.02445 (189*2π)/207111 weeks
190.09223 -.09803 (190*2π)/207111 weeks
191.01068 -.15309 (191*2π)/207111 weeks
192-.03049 -.07577 (192*2π)/207111 weeks
193.04866 -.08157 (193*2π)/207111 weeks
194-.02056 -.12192 (194*2π)/207111 weeks
195.04002 -.09051 (195*2π)/207111 weeks
196-.02477 -.14815 (196*2π)/207111 weeks
197-.04625 -.06763 (197*2π)/207111 weeks
198.01522 -.02234 (198*2π)/207110 weeks
199.0887 -.10746 (199*2π)/207110 weeks
200-.00388 -.13227 (200*2π)/207110 weeks
201.01461 -.06428 (201*2π)/207110 weeks
202.10898 -.15045 (202*2π)/207110 weeks
203-.04646 -.19974 (203*2π)/207110 weeks
204-.00208 -.07318 (204*2π)/207110 weeks
205.03543 -.12817 (205*2π)/207110 weeks
206.02171 -.17148 (206*2π)/207110 weeks
207-.05313 -.18952 (207*2π)/207110 weeks
208-.0674 -.08028 (208*2π)/207110 weeks
209.0549 -.09708 (209*2π)/207110 weeks
210-.0329 -.21512 (210*2π)/207110 weeks
211-.09556 -.05872 (211*2π)/207110 weeks
212.0663 -.08431 (212*2π)/207110 weeks
213.02952 -.17917 (213*2π)/207110 weeks
214-.06766 -.18051 (214*2π)/207110 weeks
215-.03021 -.09571 (215*2π)/207110 weeks
216.00136 -.1649 (216*2π)/207110 weeks
217-.08713 -.17779 (217*2π)/207110 weeks
218-.09776 -.10149 (218*2π)/207110 weeks
219-.05239 -.06498 (219*2π)/20719 weeks
220.0099 -.10986 (220*2π)/20719 weeks
221-.05882 -.14223 (221*2π)/20719 weeks
222-.05357 -.09392 (222*2π)/20719 weeks
223-.03886 -.08173 (223*2π)/20719 weeks
224-.02334 -.16089 (224*2π)/20719 weeks
225-.13167 -.07644 (225*2π)/20719 weeks
226.01351 -.03557 (226*2π)/20719 weeks
227-.00859 -.14087 (227*2π)/20719 weeks
228-.08887 -.12991 (228*2π)/20719 weeks
229-.09228 -.02027 (229*2π)/20719 weeks
230.01516 -.04808 (230*2π)/20719 weeks
231-.00279 -.07455 (231*2π)/20719 weeks
232.00973 -.09315 (232*2π)/20719 weeks
233-.03796 -.10707 (233*2π)/20719 weeks
234-.00316 -.04415 (234*2π)/20719 weeks
235.03881 -.1075 (235*2π)/20719 weeks
236.01493 -.1342 (236*2π)/20719 weeks
237-.00109 -.16945 (237*2π)/20719 weeks
238-.07835 -.13872 (238*2π)/20719 weeks
239-.05019 -.11929 (239*2π)/20719 weeks
240-.09332 -.09983 (240*2π)/20719 weeks
241-.01338 -.00985 (241*2π)/20719 weeks
242.04051 -.10952 (242*2π)/20719 weeks
243.01105 -.13108 (243*2π)/20719 weeks
244-.01183 -.16862 (244*2π)/20718 weeks
245-.07198 -.16712 (245*2π)/20718 weeks
246-.072 -.14684 (246*2π)/20718 weeks
247-.13271 -.11207 (247*2π)/20718 weeks
248-.09071 -.02997 (248*2π)/20718 weeks
249-.02827 -.05091 (249*2π)/20718 weeks
250.00611 -.0771 (250*2π)/20718 weeks
251-.03743 -.13462 (251*2π)/20718 weeks
252-.06128 -.12282 (252*2π)/20718 weeks
253-.09413 -.10486 (253*2π)/20718 weeks
254-.0893 -.03766 (254*2π)/20718 weeks
255-.02482 -.03119 (255*2π)/20718 weeks
256.00811 -.06074 (256*2π)/20718 weeks
257.00879 -.1105 (257*2π)/20718 weeks
258-.05525 -.15675 (258*2π)/20718 weeks
259-.10698 -.06423 (259*2π)/20718 weeks
260-.0064 -.03192 (260*2π)/20718 weeks
261.00485 -.11486 (261*2π)/20718 weeks
262-.06904 -.12034 (262*2π)/20718 weeks
263-.0579 -.08476 (263*2π)/20718 weeks
264-.072 -.11628 (264*2π)/20718 weeks
265-.11211 -.03389 (265*2π)/20718 weeks
266-.00809 -.00448 (266*2π)/20718 weeks
267-.01419 -.11589 (267*2π)/20718 weeks
268-.07173 -.02363 (268*2π)/20718 weeks
269.05622 -.05472 (269*2π)/20718 weeks
270-.02484 -.15948 (270*2π)/20718 weeks
271-.0875 -.07715 (271*2π)/20718 weeks
272-.02706 -.06949 (272*2π)/20718 weeks
273-.03966 -.074 (273*2π)/20718 weeks
274-.04028 -.07862 (274*2π)/20718 weeks
275-.03659 -.04302 (275*2π)/20718 weeks
276.03032 -.09928 (276*2π)/20718 weeks
277-.03776 -.142 (277*2π)/20717 weeks
278-.09132 -.10081 (278*2π)/20717 weeks
279-.07458 -.01508 (279*2π)/20717 weeks
280.03461 -.06497 (280*2π)/20717 weeks
281-.04929 -.09569 (281*2π)/20717 weeks
282.00008 -.07805 (282*2π)/20717 weeks
283-.00671 -.11745 (283*2π)/20717 weeks
284-.05071 -.12723 (284*2π)/20717 weeks
285-.04023 -.1141 (285*2π)/20717 weeks
286-.10346 -.15903 (286*2π)/20717 weeks
287-.15366 -.04512 (287*2π)/20717 weeks
288-.07182 -.00112 (288*2π)/20717 weeks
289-.01209 -.01149 (289*2π)/20717 weeks
290.02134 -.08167 (290*2π)/20717 weeks
291-.04972 -.11301 (291*2π)/20717 weeks
292-.0792 -.09172 (292*2π)/20717 weeks
293-.08527 -.01376 (293*2π)/20717 weeks
294.02477 -.04738 (294*2π)/20717 weeks
295-.02816 -.12016 (295*2π)/20717 weeks
296-.08561 -.08266 (296*2π)/20717 weeks
297-.0749 -.03569 (297*2π)/20717 weeks
298.00613 -.03029 (298*2π)/20717 weeks
299-.02265 -.12614 (299*2π)/20717 weeks
300-.07787 -.07132 (300*2π)/20717 weeks
301-.06514 -.07006 (301*2π)/20717 weeks
302-.04877 -.0377 (302*2π)/20717 weeks
303-.05514 -.05864 (303*2π)/20717 weeks
304-.0251 -.04684 (304*2π)/20717 weeks
305-.02373 -.08275 (305*2π)/20717 weeks
306-.05058 -.06663 (306*2π)/20717 weeks
307-.04593 -.06234 (307*2π)/20717 weeks
308-.02944 -.06489 (308*2π)/20717 weeks
309-.04411 -.09255 (309*2π)/20717 weeks
310-.0497 -.0819 (310*2π)/20717 weeks
311-.10494 -.08536 (311*2π)/20717 weeks
312-.09737 -.00839 (312*2π)/20717 weeks
313-.02922 -.00347 (313*2π)/20717 weeks
314-.01496 -.03914 (314*2π)/20717 weeks
315-.03061 -.06714 (315*2π)/20717 weeks
316-.05954 -.0406 (316*2π)/20717 weeks
317-.00773 -.03464 (317*2π)/20717 weeks
318-.01725 -.07194 (318*2π)/20717 weeks
319-.03872 -.06166 (319*2π)/20716 weeks
320-.03949 -.07123 (320*2π)/20716 weeks
321-.06423 -.05573 (321*2π)/20716 weeks
322-.02959 -.00985 (322*2π)/20716 weeks
323.0216 -.03518 (323*2π)/20716 weeks
324.00657 -.11811 (324*2π)/20716 weeks
325-.0896 -.08498 (325*2π)/20716 weeks
326-.02956 -.04148 (326*2π)/20716 weeks
327-.01565 -.07228 (327*2π)/20716 weeks
328-.05879 -.10338 (328*2π)/20716 weeks
329-.07268 -.03443 (329*2π)/20716 weeks
330-.01188 -.03048 (330*2π)/20716 weeks
331-.01383 -.11935 (331*2π)/20716 weeks
332-.08741 -.09716 (332*2π)/20716 weeks
333-.08098 -.04525 (333*2π)/20716 weeks
334-.07216 -.04874 (334*2π)/20716 weeks
335-.06926 -.04307 (335*2π)/20716 weeks
336-.09579 -.02766 (336*2π)/20716 weeks
337-.01853 .04406 (337*2π)/20716 weeks
338.00937 -.07808 (338*2π)/20716 weeks
339-.07799 -.04485 (339*2π)/20716 weeks
340-.04415 .0088 (340*2π)/20716 weeks
341.04208 -.00618 (341*2π)/20716 weeks
342.01305 -.10335 (342*2π)/20716 weeks
343-.04698 -.07707 (343*2π)/20716 weeks
344-.03384 -.04949 (344*2π)/20716 weeks
345-.02905 -.05983 (345*2π)/20716 weeks
346-.0281 -.06441 (346*2π)/20716 weeks
347-.0405 -.08272 (347*2π)/20716 weeks
348-.05586 -.0579 (348*2π)/20716 weeks
349-.04178 -.06391 (349*2π)/20716 weeks
350-.06337 -.07091 (350*2π)/20716 weeks
351-.0935 -.04011 (351*2π)/20716 weeks
352-.04596 .00363 (352*2π)/20716 weeks
353-.01579 -.03406 (353*2π)/20716 weeks
354-.05333 -.04733 (354*2π)/20716 weeks
355-.04972 -.01312 (355*2π)/20716 weeks
356-.02852 -.00036 (356*2π)/20716 weeks
357.01924 -.04148 (357*2π)/20716 weeks
358-.02585 -.0613 (358*2π)/20716 weeks
359-.03737 -.07091 (359*2π)/20716 weeks
360-.07981 -.02214 (360*2π)/20716 weeks
361-.04002 .00671 (361*2π)/20716 weeks
362.00268 -.00682 (362*2π)/20716 weeks
363-.02347 -.02607 (363*2π)/20716 weeks
364.02732 .00867 (364*2π)/20716 weeks
365.05149 -.05013 (365*2π)/20716 weeks
366.01617 -.11963 (366*2π)/20716 weeks
367-.0599 -.06506 (367*2π)/20716 weeks
368-.00972 -.04901 (368*2π)/20716 weeks
369.01555 -.04859 (369*2π)/20716 weeks
370-.02256 -.13831 (370*2π)/20716 weeks
371-.08063 -.03552 (371*2π)/20716 weeks
372-.02123 -.0535 (372*2π)/20716 weeks
373-.02855 -.0417 (373*2π)/20716 weeks
374-.03649 -.07911 (374*2π)/20716 weeks
375-.03545 -.01411 (375*2π)/20716 weeks
376.02377 -.05718 (376*2π)/20716 weeks
377-.0307 -.09313 (377*2π)/20715 weeks
378-.03652 -.06231 (378*2π)/20715 weeks
379-.02874 -.06773 (379*2π)/20715 weeks
380-.02856 -.07802 (380*2π)/20715 weeks
381-.05449 -.08627 (381*2π)/20715 weeks
382-.08223 -.05302 (382*2π)/20715 weeks
383-.02839 -.03618 (383*2π)/20715 weeks
384-.05848 -.06766 (384*2π)/20715 weeks
385-.0495 -.0185 (385*2π)/20715 weeks
386-.01999 -.04332 (386*2π)/20715 weeks
387-.0294 -.04938 (387*2π)/20715 weeks
388-.02806 -.07513 (388*2π)/20715 weeks
389-.06807 -.05839 (389*2π)/20715 weeks
390-.03358 -.03272 (390*2π)/20715 weeks
391-.03562 -.05495 (391*2π)/20715 weeks
392-.04692 -.0576 (392*2π)/20715 weeks
393-.0626 -.03435 (393*2π)/20715 weeks
394.00523 -.04008 (394*2π)/20715 weeks
395-.05476 -.11843 (395*2π)/20715 weeks
396-.12492 -.02075 (396*2π)/20715 weeks
397-.0388 .00436 (397*2π)/20715 weeks
398-.01877 -.02446 (398*2π)/20715 weeks
399-.04376 -.07057 (399*2π)/20715 weeks
400-.057 .00691 (400*2π)/20715 weeks
401-.00815 -.05758 (401*2π)/20715 weeks
402-.07899 -.02455 (402*2π)/20715 weeks
403-.04152 .0028 (403*2π)/20715 weeks
404-.00679 -.00149 (404*2π)/20715 weeks
405-.00634 -.03321 (405*2π)/20715 weeks
406-.00125 -.01304 (406*2π)/20715 weeks
407.00808 -.04623 (407*2π)/20715 weeks
408.01065 -.05347 (408*2π)/20715 weeks
409-.01433 -.09682 (409*2π)/20715 weeks
410-.05433 -.0675 (410*2π)/20715 weeks
411-.04749 -.03478 (411*2π)/20715 weeks
412-.02898