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Fourier Analysis of WMB (The Williams Companies)


WMB (The Williams Companies) appears to have interesting cyclic behaviour every 190 weeks (1.4094*sine), 123 weeks (1.2395*sine), and 209 weeks (1.1811*sine).

WMB (The Williams Companies) has an average price of 9.77 (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 2/24/2020 for WMB (The Williams Companies), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
09.7729   0 
12.98163 -9.58488 (1*2π)/20852,085 weeks
22.25311 -6.85555 (2*2π)/20851,043 weeks
3-2.73034 -3.025 (3*2π)/2085695 weeks
4-.41769 -2.58456 (4*2π)/2085521 weeks
5-1.89168 .64831 (5*2π)/2085417 weeks
62.36854 -.43835 (6*2π)/2085348 weeks
7.10818 -1.9392 (7*2π)/2085298 weeks
8.49915 -1.19547 (8*2π)/2085261 weeks
9-.14456 -1.68719 (9*2π)/2085232 weeks
10-.20766 -1.18107 (10*2π)/2085209 weeks
11-1.0985 -1.40943 (11*2π)/2085190 weeks
12-1.00866 .39269 (12*2π)/2085174 weeks
13.24511 .1092 (13*2π)/2085160 weeks
14.08128 -.06669 (14*2π)/2085149 weeks
15.64236 -.15001 (15*2π)/2085139 weeks
16.60012 -.57009 (16*2π)/2085130 weeks
17.57644 -1.23952 (17*2π)/2085123 weeks
18-.59417 -1.22976 (18*2π)/2085116 weeks
19-.46375 -.27694 (19*2π)/2085110 weeks
20-.33101 -.61002 (20*2π)/2085104 weeks
21-.45905 -.06208 (21*2π)/208599 weeks
22-.19766 -.05799 (22*2π)/208595 weeks
23.0877 .08084 (23*2π)/208591 weeks
24.18552 -.31279 (24*2π)/208587 weeks
25-.00876 -.29579 (25*2π)/208583 weeks
26.0355 -.06783 (26*2π)/208580 weeks
27.41822 -.45733 (27*2π)/208577 weeks
28-.10453 -.62723 (28*2π)/208574 weeks
29-.23663 -.56317 (29*2π)/208572 weeks
30-.45728 -.14462 (30*2π)/208570 weeks
31-.11504 -.23425 (31*2π)/208567 weeks
32-.48995 .02177 (32*2π)/208565 weeks
33-.04587 .19692 (33*2π)/208563 weeks
34.19118 .32565 (34*2π)/208561 weeks
35.4637 -.22572 (35*2π)/208560 weeks
36.35138 -.30209 (36*2π)/208558 weeks
37.01335 -.72327 (37*2π)/208556 weeks
38-.19263 -.37935 (38*2π)/208555 weeks
39-.50496 -.35397 (39*2π)/208553 weeks
40-.19 .20649 (40*2π)/208552 weeks
41-.18407 -.04857 (41*2π)/208551 weeks
42.09193 .18874 (42*2π)/208550 weeks
43.00129 -.00031 (43*2π)/208548 weeks
44.38125 .08536 (44*2π)/208547 weeks
45.23819 -.44415 (45*2π)/208546 weeks
46-.10008 -.30631 (46*2π)/208545 weeks
47-.1433 -.1764 (47*2π)/208544 weeks
48-.02267 -.00152 (48*2π)/208543 weeks
49-.01341 -.09049 (49*2π)/208543 weeks
50.08629 -.02237 (50*2π)/208542 weeks
51.15146 -.08875 (51*2π)/208541 weeks
52.10694 -.25181 (52*2π)/208540 weeks
53.02599 -.16337 (53*2π)/208539 weeks
54.03037 -.21973 (54*2π)/208539 weeks
55.0081 -.12836 (55*2π)/208538 weeks
56.01923 -.2254 (56*2π)/208537 weeks
57-.01748 -.06402 (57*2π)/208537 weeks
58.14793 -.20496 (58*2π)/208536 weeks
59.03154 -.26958 (59*2π)/208535 weeks
60-.06676 -.30849 (60*2π)/208535 weeks
61-.12566 -.17628 (61*2π)/208534 weeks
62-.12213 -.17597 (62*2π)/208534 weeks
63-.10283 -.04367 (63*2π)/208533 weeks
64.01431 -.11909 (64*2π)/208533 weeks
65-.00873 -.14425 (65*2π)/208532 weeks
66-.09471 -.2586 (66*2π)/208532 weeks
67-.19076 -.06428 (67*2π)/208531 weeks
68-.11059 -.07577 (68*2π)/208531 weeks
69-.0855 .02892 (69*2π)/208530 weeks
70-.06709 -.06907 (70*2π)/208530 weeks
71-.0223 .11918 (71*2π)/208529 weeks
72.1102 -.10166 (72*2π)/208529 weeks
73-.02732 -.01336 (73*2π)/208529 weeks
74.12297 -.09406 (74*2π)/208528 weeks
75-.00419 -.10504 (75*2π)/208528 weeks
76.07887 -.14109 (76*2π)/208527 weeks
77-.09547 -.14828 (77*2π)/208527 weeks
78.03214 -.02547 (78*2π)/208527 weeks
79-.01996 -.13275 (79*2π)/208526 weeks
80.0416 -.05949 (80*2π)/208526 weeks
81.00841 -.13057 (81*2π)/208526 weeks
82.03347 -.14634 (82*2π)/208525 weeks
83-.07876 -.17626 (83*2π)/208525 weeks
84-.072 -.03335 (84*2π)/208525 weeks
85.03883 -.08284 (85*2π)/208525 weeks
86-.00062 -.16084 (86*2π)/208524 weeks
87-.07141 -.13708 (87*2π)/208524 weeks
88-.07824 -.12663 (88*2π)/208524 weeks
89-.1516 -.06112 (89*2π)/208523 weeks
90-.04742 .02199 (90*2π)/208523 weeks
91-.02808 .01987 (91*2π)/208523 weeks
92.10888 -.04639 (92*2π)/208523 weeks
93-.02033 -.10777 (93*2π)/208522 weeks
94.04643 -.13666 (94*2π)/208522 weeks
95-.14068 -.08533 (95*2π)/208522 weeks
96.04625 -.02756 (96*2π)/208522 weeks
97-.05191 -.09121 (97*2π)/208521 weeks
98.02865 -.09365 (98*2π)/208521 weeks
99-.08491 -.08622 (99*2π)/208521 weeks
100-.01291 -.08026 (100*2π)/208521 weeks
101-.07515 -.05792 (101*2π)/208521 weeks
102-.03599 -.06453 (102*2π)/208520 weeks
103-.06513 -.00692 (103*2π)/208520 weeks
104.00677 -.02763 (104*2π)/208520 weeks
105.02365 -.03375 (105*2π)/208520 weeks
106-.01686 -.11415 (106*2π)/208520 weeks
107-.00296 -.04975 (107*2π)/208519 weeks
108-.097 -.14624 (108*2π)/208519 weeks
109-.11249 .0562 (109*2π)/208519 weeks
110-.01953 .02759 (110*2π)/208519 weeks
111.05011 .09668 (111*2π)/208519 weeks
112.15737 -.07156 (112*2π)/208519 weeks
113.04584 -.11288 (113*2π)/208518 weeks
114.04063 -.14397 (114*2π)/208518 weeks
115-.05334 -.12849 (115*2π)/208518 weeks
116-.03496 -.08968 (116*2π)/208518 weeks
117-.07674 -.07186 (117*2π)/208518 weeks
118-.02861 -.02168 (118*2π)/208518 weeks
119-.01672 -.04393 (119*2π)/208518 weeks
120-.00757 -.04314 (120*2π)/208517 weeks
121.01726 -.05199 (121*2π)/208517 weeks
122-.01403 -.10574 (122*2π)/208517 weeks
123-.03535 -.06121 (123*2π)/208517 weeks
124-.06975 -.07826 (124*2π)/208517 weeks
125-.03061 .01694 (125*2π)/208517 weeks
126-.0141 -.05351 (126*2π)/208517 weeks
127.00704 .00593 (127*2π)/208516 weeks
128.00766 -.04687 (128*2π)/208516 weeks
129.07999 -.03182 (129*2π)/208516 weeks
130.02132 -.17201 (130*2π)/208516 weeks
131-.08774 -.10522 (131*2π)/208516 weeks
132-.05445 -.02797 (132*2π)/208516 weeks
133-.02058 -.0448 (133*2π)/208516 weeks
134-.01226 -.05407 (134*2π)/208516 weeks
135-.05397 -.04264 (135*2π)/208515 weeks
136.04688 -.03277 (136*2π)/208515 weeks
137-.06538 -.09489 (137*2π)/208515 weeks
138.03399 -.017 (138*2π)/208515 weeks
139-.02828 -.12498 (139*2π)/208515 weeks
140-.02692 -.06634 (140*2π)/208515 weeks
141-.06453 -.1001 (141*2π)/208515 weeks
142-.07125 -.07441 (142*2π)/208515 weeks
143-.12134 -.02813 (143*2π)/208515 weeks
144-.05078 .0014 (144*2π)/208514 weeks
145-.07196 .01377 (145*2π)/208514 weeks
146-.01862 .02092 (146*2π)/208514 weeks
147.00241 .01909 (147*2π)/208514 weeks
148.01239 -.03156 (148*2π)/208514 weeks
149.00771 .00189 (149*2π)/208514 weeks
150.01622 -.07468 (150*2π)/208514 weeks
151-.01462 -.01317 (151*2π)/208514 weeks
152.00074 -.06897 (152*2π)/208514 weeks
153-.00101 -.03765 (153*2π)/208514 weeks
154-.04306 -.08442 (154*2π)/208514 weeks
155-.03963 -.01245 (155*2π)/208513 weeks
156-.03424 -.03403 (156*2π)/208513 weeks
157.00336 .00455 (157*2π)/208513 weeks
158.00505 -.08387 (158*2π)/208513 weeks
159-.04915 -.04899 (159*2π)/208513 weeks
160-.06107 -.06154 (160*2π)/208513 weeks
161-.0692 .03204 (161*2π)/208513 weeks
162-.01256 -.00316 (162*2π)/208513 weeks
163.00459 .00846 (163*2π)/208513 weeks
164-.01456 -.05786 (164*2π)/208513 weeks
165-.03996 .01772 (165*2π)/208513 weeks
166.00634 -.01886 (166*2π)/208513 weeks
167-.00527 .00679 (167*2π)/208512 weeks
168.0191 -.06135 (168*2π)/208512 weeks
169-.05507 -.0106 (169*2π)/208512 weeks
170.00242 -.02217 (170*2π)/208512 weeks
171-.05213 .01314 (171*2π)/208512 weeks
172.02657 .00655 (172*2π)/208512 weeks
173.006 .02326 (173*2π)/208512 weeks
174.06482 -.05435 (174*2π)/208512 weeks
175-.03704 -.04039 (175*2π)/208512 weeks
176.01067 -.0142 (176*2π)/208512 weeks
177-.0149 -.02442 (177*2π)/208512 weeks
178-.00237 -.01441 (178*2π)/208512 weeks
179-.02531 .00728 (179*2π)/208512 weeks
180.04304 .0568 (180*2π)/208512 weeks
181.09595 -.04452 (181*2π)/208512 weeks
182.03297 -.03544 (182*2π)/208511 weeks
183.06882 -.09468 (183*2π)/208511 weeks
184-.00908 -.07696 (184*2π)/208511 weeks
185-.01663 -.09226 (185*2π)/208511 weeks
186-.03908 -.01042 (186*2π)/208511 weeks
187.01162 -.03915 (187*2π)/208511 weeks
188.00882 -.01204 (188*2π)/208511 weeks
189.04566 -.06293 (189*2π)/208511 weeks
190.01882 -.08272 (190*2π)/208511 weeks
191-.02217 -.10449 (191*2π)/208511 weeks
192-.04753 -.07558 (192*2π)/208511 weeks
193-.07626 -.04259 (193*2π)/208511 weeks
194-.03163 -.00698 (194*2π)/208511 weeks
195-.04773 -.00688 (195*2π)/208511 weeks
196.02958 .00846 (196*2π)/208511 weeks
197-.01121 -.03523 (197*2π)/208511 weeks
198.04597 -.02379 (198*2π)/208511 weeks
199-.00814 -.0917 (199*2π)/208510 weeks
200-.02911 -.04938 (200*2π)/208510 weeks
201-.03703 -.05022 (201*2π)/208510 weeks
202-.02869 -.01054 (202*2π)/208510 weeks
203-.01853 -.04798 (203*2π)/208510 weeks
204-.0226 .01507 (204*2π)/208510 weeks
205.03694 -.06288 (205*2π)/208510 weeks
206-.03732 -.05578 (206*2π)/208510 weeks
207-.03733 -.06147 (207*2π)/208510 weeks
208-.05694 -.00111 (208*2π)/208510 weeks
209-.02005 -.03273 (209*2π)/208510 weeks
210-.04485 .00979 (210*2π)/208510 weeks
211-.01842 .00335 (211*2π)/208510 weeks
212.03637 .02194 (212*2π)/208510 weeks
213.01663 -.0685 (213*2π)/208510 weeks
214-.01696 -.04058 (214*2π)/208510 weeks
215-.0324 -.02901 (215*2π)/208510 weeks
216-.00116 -.02985 (216*2π)/208510 weeks
217-.0569 -.03129 (217*2π)/208510 weeks
218-.01092 .02318 (218*2π)/208510 weeks
219.00525 -.01372 (219*2π)/208510 weeks
220.01107 -.02735 (220*2π)/20859 weeks
221-.03999 -.02616 (221*2π)/20859 weeks
222.01662 .02209 (222*2π)/20859 weeks
223.01212 -.04043 (223*2π)/20859 weeks
224.00149 -.00984 (224*2π)/20859 weeks
225.02144 -.02282 (225*2π)/20859 weeks
226.03209 -.0526 (226*2π)/20859 weeks
227-.00799 -.08717 (227*2π)/20859 weeks
228-.07861 -.04717 (228*2π)/20859 weeks
229-.0164 .02292 (229*2π)/20859 weeks
230-.00326 -.01999 (230*2π)/20859 weeks
231.0107 -.01359 (231*2π)/20859 weeks
232.00606 -.03618 (232*2π)/20859 weeks
233.01433 -.0512 (233*2π)/20859 weeks
234-.03951 -.07986 (234*2π)/20859 weeks
235-.05808 -.00817 (235*2π)/20859 weeks
236-.02103 -.03514 (236*2π)/20859 weeks
237-.07562 .00529 (237*2π)/20859 weeks
238-.0051 .03725 (238*2π)/20859 weeks
239.00101 .02411 (239*2π)/20859 weeks
240.06197 -.00887 (240*2π)/20859 weeks
241-.01054 -.0468 (241*2π)/20859 weeks
242.02114 -.02816 (242*2π)/20859 weeks
243-.02991 -.04302 (243*2π)/20859 weeks
244-.01303 -.01674 (244*2π)/20859 weeks
245-.03508 -.00373 (245*2π)/20859 weeks
246.02078 .02779 (246*2π)/20858 weeks
247.03046 -.02994 (247*2π)/20858 weeks
248.01445 -.02673 (248*2π)/20858 weeks
249.0147 -.03876 (249*2π)/20858 weeks
250-.00276 -.05282 (250*2π)/20858 weeks
251-.03162 -.03205 (251*2π)/20858 weeks
252-.01559 -.00576 (252*2π)/20858 weeks
253.00276 .01274 (253*2π)/20858 weeks
254.04542 -.0382 (254*2π)/20858 weeks
255-.01191 -.03463 (255*2π)/20858 weeks
256.01638 -.03936 (256*2π)/20858 weeks
257-.01845 -.03321 (257*2π)/20858 weeks
258.00084 -.018 (258*2π)/20858 weeks
259.01216 -.01821 (259*2π)/20858 weeks
260.03127 -.04448 (260*2π)/20858 weeks
261-.01614 -.06916 (261*2π)/20858 weeks
262-.01093 -.01736 (262*2π)/20858 weeks
263.00836 -.04857 (263*2π)/20858 weeks
264-.00856 -.04479 (264*2π)/20858 weeks
265-.01235 -.055 (265*2π)/20858 weeks
266-.02212 -.04166 (266*2π)/20858 weeks
267-.03159 -.03778 (267*2π)/20858 weeks
268-.00571 -.02681 (268*2π)/20858 weeks
269-.02679 -.05372 (269*2π)/20858 weeks
270-.04477 -.03357 (270*2π)/20858 weeks
271-.02848 -.00291 (271*2π)/20858 weeks
272-.01779 -.03762 (272*2π)/20858 weeks
273-.04289 .00111 (273*2π)/20858 weeks
274-.01496 -.0095 (274*2π)/20858 weeks
275.00558 .00978 (275*2π)/20858 weeks
276-.00682 -.0492 (276*2π)/20858 weeks
277-.03085 -.00123 (277*2π)/20858 weeks
278.00341 -.00038 (278*2π)/20858 weeks
279.00797 -.02508 (279*2π)/20857 weeks
280-.01093 -.02802 (280*2π)/20857 weeks
281-.02004 -.00172 (281*2π)/20857 weeks
282.03587 -.00331 (282*2π)/20857 weeks
283.01348 -.06043 (283*2π)/20857 weeks
284-.01838 -.0397 (284*2π)/20857 weeks
285-.01525 -.03974 (285*2π)/20857 weeks
286-.02219 -.02141 (286*2π)/20857 weeks
287-.0209 -.02236 (287*2π)/20857 weeks
288-.00253 -.00789 (288*2π)/20857 weeks
289-.00329 -.02618 (289*2π)/20857 weeks
290.00367 -.02659 (290*2π)/20857 weeks
291-.01168 -.0238 (291*2π)/20857 weeks
292.03262 -.04494 (292*2π)/20857 weeks
293-.03169 -.07077 (293*2π)/20857 weeks
294-.04421 -.05833 (294*2π)/20857 weeks
295-.0603 -.00277 (295*2π)/20857 weeks
296-.02336 -.02196 (296*2π)/20857 weeks
297-.0534 .00062 (297*2π)/20857 weeks
298-.02306 .02187 (298*2π)/20857 weeks
299.00251 .02914 (299*2π)/20857 weeks
300.04549 .00125 (300*2π)/20857 weeks
301.02183 -.04862 (301*2π)/20857 weeks
302.01554 -.04808 (302*2π)/20857 weeks
303-.03443 -.06992 (303*2π)/20857 weeks
304-.03876 -.03112 (304*2π)/20857 weeks
305-.06243 -.00742 (305*2π)/20857 weeks
306-.00996 .02276 (306*2π)/20857 weeks
307-.00456 .00354 (307*2π)/20857 weeks
308.01768 .00185 (308*2π)/20857 weeks
309.02478 -.0181 (309*2π)/20857 weeks
310.02959 -.04962 (310*2π)/20857 weeks
311-.01174 -.08169 (311*2π)/20857 weeks
312-.05976 -.05209 (312*2π)/20857 weeks
313-.06351 -.01113 (313*2π)/20857 weeks
314-.04751 .02735 (314*2π)/20857 weeks
315.01303 .03644 (315*2π)/20857 weeks
316.02257 -.00497 (316*2π)/20857 weeks
317.03953 -.02754 (317*2π)/20857 weeks
318-.01266 -.05701 (318*2π)/20857 weeks
319-.00349 -.02241 (319*2π)/20857 weeks
320-.02421 -.05392 (320*2π)/20857 weeks
321-.02749 -.01324 (321*2π)/20856 weeks
322-.0353 -.01985 (322*2π)/20856 weeks
323-.01686 .02011 (323*2π)/20856 weeks
324.02505 .00463 (324*2π)/20856 weeks
325.02592 -.04471 (325*2π)/20856 weeks
326-.00194 -.05206 (326*2π)/20856 weeks
327-.0401 -.04989 (327*2π)/20856 weeks
328-.02594 -.01301 (328*2π)/20856 weeks
329-.03078 -.02264 (329*2π)/20856 weeks
330-.02206 .00098 (330*2π)/20856 weeks
331-.00431 -.00247 (331*2π)/20856 weeks
332.00479 -.02314 (332*2π)/20856 weeks
333-.01361 -.02288 (333*2π)/20856 weeks
334-.01091 -.0227 (334*2π)/20856 weeks
335-.00286 -.01887 (335*2π)/20856 weeks
336-.02642 -.03993 (336*2π)/20856 weeks
337-.01638 -.00511 (337*2π)/20856 weeks
338-.03179 -.02029 (338*2π)/20856 weeks
339.00487 .00921 (339*2π)/20856 weeks
340-.01093 -.03447 (340*2π)/20856 weeks
341-.01047 .00043 (341*2π)/20856 weeks
342.00247 -.02573 (342*2π)/20856 weeks
343-.0039 -.0273 (343*2π)/20856 weeks
344-.02202 -.02721 (344*2π)/20856 weeks
345-.00868 -.02084 (345*2π)/20856 weeks
346-.02115 -.03202 (346*2π)/20856 weeks
347-.0399 -.02016 (347*2π)/20856 weeks
348-.0278 .00823 (348*2π)/20856 weeks
349-.01787 .00635 (349*2π)/20856 weeks
350.01206 .01766 (350*2π)/20856 weeks
351.00948 -.02279 (351*2π)/20856 weeks
352.01252 -.0052 (352*2π)/20856 weeks
353.00851 -.0359 (353*2π)/20856 weeks
354.00691 -.03737 (354*2π)/20856 weeks
355-.02976 -.03931 (355*2π)/20856 weeks
356-.01116 -.01376 (356*2π)/20856 weeks
357-.01669 -.02054 (357*2π)/20856 weeks
358-.00015 -.02231 (358*2π)/20856 weeks
359-.02659 -.02567 (359*2π)/20856 weeks
360-.00288 -.01335 (360*2π)/20856 weeks
361-.02117 -.01981 (361*2π)/20856 weeks
362.01111 -.0111 (362*2π)/20856 weeks
363-.01204 -.04556 (363*2π)/20856 weeks
364-.01461 -.02945 (364*2π)/20856 weeks
365-.03869 -.03204 (365*2π)/20856 weeks
366-.01549 -.00222 (366*2π)/20856 weeks
367-.01751 -.03165 (367*2π)/20856 weeks
368-.02977 -.00935 (368*2π)/20856 weeks
369-.01506 -.01464 (369*2π)/20856 weeks
370-.02807 -.01308 (370*2π)/20856 weeks
371-.01491 -.00102 (371*2π)/20856 weeks
372-.01757 -.00106 (372*2π)/20856 weeks
373.01675 -.00501 (373*2π)/20856 weeks
374-.01671 -.04094 (374*2π)/20856 weeks
375-.01967 -.00574 (375*2π)/20856 weeks
376-.01514 -.0165 (376*2π)/20856 weeks
377-.00723 -.00904 (377*2π)/20856 weeks
378-.01734 -.0155 (378*2π)/20856 weeks
379-.00313 -.00818 (379*2π)/20856 weeks
380-.01202 -.02405 (380*2π)/20855 weeks
381-.01606 -.00767 (381*2π)/20855 weeks
382-.00597 -.01127 (382*2π)/20855 weeks
383-.00039 -.01399 (383*2π)/20855 weeks
384-.0044 -.02144 (384*2π)/20855 weeks
385-.00188 -.03542 (385*2π)/20855 weeks
386-.03123 -.02258 (386*2π)/20855 weeks
387-.00705 -.02438 (387*2π)/20855 weeks
388-.0381 -.02235 (388*2π)/20855 weeks
389-.02182 -.00514 (389*2π)/20855 weeks
390-.02432 .00222 (390*2π)/20855 weeks
391.01131 .00101 (391*2π)/20855 weeks
392-.01001 -.02911 (392*2π)/20855 weeks
393-.00446 -.01435 (393*2π)/20855 weeks
394-.01273 -.02715 (394*2π)/20855 weeks
395-.01169 -.02831 (395*2π)/20855 weeks
396-.03673 -.03211 (396*2π)/20855 weeks
397-.04007 -.00288 (397*2π)/20855 weeks
398-.02114 .0042 (398*2π)/20855 weeks
399-.02648 .0077 (399*2π)/20855 weeks
400.00776 .02019 (400*2π)/20855 weeks
401.02133 -.00296 (401*2π)/20855 weeks
402.02527 -.04721 (402*2π)/20855 weeks
403-.0275 -.04261 (403*2π)/20855 weeks
404-.0182 -.03269 (404*2π)/20855 weeks
405-.04268 -.02804 (405*2π)/20855 weeks
406-.04074