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# Fourier Analysis of PYSCX (Putnam Equity Spectrum Fund C S)

PYSCX (Putnam Equity Spectrum Fund C S) appears to have interesting cyclic behaviour every 37 weeks (.8942*sine), 32 weeks (.8371*sine), and 41 weeks (.8078*sine).

PYSCX (Putnam Equity Spectrum Fund C S) has an average price of 26.99 (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 5/18/2009 to 3/20/2017 for PYSCX (Putnam Equity Spectrum Fund C S), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
026.99165   0
1-3.11704 -9.72034 (1*2π)/410410 weeks
2-1.26403 -.77302 (2*2π)/410205 weeks
3.86644 -2.17164 (3*2π)/410137 weeks
4.40127 -1.54949 (4*2π)/410103 weeks
5.4701 -1.68621 (5*2π)/41082 weeks
6-.5627 -1.33264 (6*2π)/41068 weeks
7-.27938 -1.27407 (7*2π)/41059 weeks
8.34124 -1.30417 (8*2π)/41051 weeks
9.08768 -.6096 (9*2π)/41046 weeks
10-.18874 -.80782 (10*2π)/41041 weeks
11.1264 -.89425 (11*2π)/41037 weeks
12.04418 -.56342 (12*2π)/41034 weeks
13-.33683 -.83711 (13*2π)/41032 weeks
14-.07978 -.73218 (14*2π)/41029 weeks
15-.08779 -.59894 (15*2π)/41027 weeks
16-.06728 -.51059 (16*2π)/41026 weeks
17.17925 -.39613 (17*2π)/41024 weeks
18-.00151 -.64785 (18*2π)/41023 weeks
19-.03209 -.57775 (19*2π)/41022 weeks
20-.16085 -.32885 (20*2π)/41021 weeks
21-.22221 -.48288 (21*2π)/41020 weeks
22-.07925 -.31804 (22*2π)/41019 weeks
23.08263 -.2598 (23*2π)/41018 weeks
24-.04027 -.40006 (24*2π)/41017 weeks
25-.09114 -.52317 (25*2π)/41016 weeks
26-.00662 -.30267 (26*2π)/41016 weeks
27-.1244 -.22306 (27*2π)/41015 weeks
28-.02355 -.25365 (28*2π)/41015 weeks
29-.06152 -.27397 (29*2π)/41014 weeks
30-.02854 -.08406 (30*2π)/41014 weeks
31-.07185 -.29795 (31*2π)/41013 weeks
32-.12175 -.38686 (32*2π)/41013 weeks
33-.02016 -.08686 (33*2π)/41012 weeks
34.01302 -.25721 (34*2π)/41012 weeks
35-.16301 -.31531 (35*2π)/41012 weeks
36-.08071 -.11994 (36*2π)/41011 weeks
37.08149 -.19714 (37*2π)/41011 weeks
38-.06233 -.22664 (38*2π)/41011 weeks
39-.10047 -.27442 (39*2π)/41011 weeks
40-.00343 -.19574 (40*2π)/41010 weeks
41-.0942 -.17339 (41*2π)/41010 weeks
42-.17986 -.0545 (42*2π)/41010 weeks
43.0194 -.15037 (43*2π)/41010 weeks
44-.02564 -.11921 (44*2π)/4109 weeks
45-.04032 -.11599 (45*2π)/4109 weeks
46-.09238 -.12914 (46*2π)/4109 weeks
47-.07155 -.20696 (47*2π)/4109 weeks
48-.04174 -.08575 (48*2π)/4109 weeks
49.02358 -.1103 (49*2π)/4108 weeks
50-.10677 -.22276 (50*2π)/4108 weeks
51.02858 -.16815 (51*2π)/4108 weeks
52.00626 -.16381 (52*2π)/4108 weeks
53-.0918 -.18132 (53*2π)/4108 weeks
54-.16986 -.18752 (54*2π)/4108 weeks
55-.12113 -.05382 (55*2π)/4107 weeks
56-.11668 -.03612 (56*2π)/4107 weeks
57-.13405 -.22836 (57*2π)/4107 weeks
58-.03223 -.14364 (58*2π)/4107 weeks
59-.00029 -.10421 (59*2π)/4107 weeks
60-.08624 -.111 (60*2π)/4107 weeks
61-.03288 -.17832 (61*2π)/4107 weeks
62-.0968 -.10086 (62*2π)/4107 weeks
63-.14842 -.09843 (63*2π)/4107 weeks
64-.08701 -.07108 (64*2π)/4106 weeks
65-.07313 -.05195 (65*2π)/4106 weeks
66.00867 -.10491 (66*2π)/4106 weeks
67-.01571 -.13251 (67*2π)/4106 weeks
68-.02046 -.12275 (68*2π)/4106 weeks
69-.05156 -.12714 (69*2π)/4106 weeks
70-.09803 -.12682 (70*2π)/4106 weeks
71-.08976 -.17377 (71*2π)/4106 weeks
72-.0803 -.07699 (72*2π)/4106 weeks
73-.07923 -.09506 (73*2π)/4106 weeks
74-.07275 -.06622 (74*2π)/4106 weeks
75-.01915 -.08333 (75*2π)/4105 weeks
76-.05037 -.11774 (76*2π)/4105 weeks
77-.06746 -.11679 (77*2π)/4105 weeks
78-.00613 -.11877 (78*2π)/4105 weeks
79-.15295 -.11316 (79*2π)/4105 weeks
80-.03791 -.05797 (80*2π)/4105 weeks
81-.01786 -.04403 (81*2π)/4105 weeks
82-.02564 -.10171 (82*2π)/4105 weeks
83-.10747 -.07874 (83*2π)/4105 weeks
84-.08133 -.06378 (84*2π)/4105 weeks
85-.04741 -.10849 (85*2π)/4105 weeks
86-.03419 -.05369 (86*2π)/4105 weeks
87-.03147 -.07806 (87*2π)/4105 weeks
88-.05149 -.11275 (88*2π)/4105 weeks
89-.09264 -.14478 (89*2π)/4105 weeks
90-.12397 -.09124 (90*2π)/4105 weeks
91-.05978 -.07274 (91*2π)/4105 weeks
92-.10375 -.12661 (92*2π)/4104 weeks
93-.05032 -.05695 (93*2π)/4104 weeks
94-.02386 -.10207 (94*2π)/4104 weeks
95-.07242 -.12916 (95*2π)/4104 weeks
96-.08639 -.05625 (96*2π)/4104 weeks
97-.02796 -.08567 (97*2π)/4104 weeks
98-.10942 -.08128 (98*2π)/4104 weeks
99-.11858 .01618 (99*2π)/4104 weeks
100-.06276 .0137 (100*2π)/4104 weeks
101-.00295 -.08255 (101*2π)/4104 weeks
102-.05876 -.05504 (102*2π)/4104 weeks
103-.11782 -.0269 (103*2π)/4104 weeks
104-.07444 -.03174 (104*2π)/4104 weeks
105-.03559 -.00144 (105*2π)/4104 weeks
106-.06671 -.02303 (106*2π)/4104 weeks
107-.02787 -.04301 (107*2π)/4104 weeks
108-.02219 -.11779 (108*2π)/4104 weeks
109-.07909 -.08604 (109*2π)/4104 weeks
110-.07553 -.02503 (110*2π)/4104 weeks
111-.03049 -.06874 (111*2π)/4104 weeks
112-.06074 -.04211 (112*2π)/4104 weeks
113-.08965 -.07319 (113*2π)/4104 weeks
114-.07337 -.09515 (114*2π)/4104 weeks
115-.08856 -.07008 (115*2π)/4104 weeks
116-.08829 -.06351 (116*2π)/4104 weeks
117-.06194 -.05603 (117*2π)/4104 weeks
118-.01662 -.07536 (118*2π)/4103 weeks
119-.05165 -.03013 (119*2π)/4103 weeks
120-.06398 -.06599 (120*2π)/4103 weeks
121-.09278 -.05561 (121*2π)/4103 weeks
122-.09778 -.01705 (122*2π)/4103 weeks
123-.03842 -.04595 (123*2π)/4103 weeks
124-.05789 -.0395 (124*2π)/4103 weeks
125-.06943 -.0388 (125*2π)/4103 weeks
126-.06256 -.03462 (126*2π)/4103 weeks
127-.06814 -.05302 (127*2π)/4103 weeks
128-.05552 -.04216 (128*2π)/4103 weeks
129-.06999 -.08346 (129*2π)/4103 weeks
130-.07556 -.08106 (130*2π)/4103 weeks
131-.10017 -.04308 (131*2π)/4103 weeks
132-.10057 -.02316 (132*2π)/4103 weeks
133-.04904 -.04145 (133*2π)/4103 weeks
134-.04959 -.03319 (134*2π)/4103 weeks
135-.05347 -.06151 (135*2π)/4103 weeks
136-.08338 -.07617 (136*2π)/4103 weeks
137-.07982 -.01159 (137*2π)/4103 weeks
138-.06289 -.02485 (138*2π)/4103 weeks
139-.0565 -.0161 (139*2π)/4103 weeks
140-.08326 -.03709 (140*2π)/4103 weeks
141-.09285 -.022 (141*2π)/4103 weeks
142-.05926 -.02374 (142*2π)/4103 weeks
143-.04883 -.01871 (143*2π)/4103 weeks
144-.03433 -.0514 (144*2π)/4103 weeks
145-.04626 -.09039 (145*2π)/4103 weeks
146-.0581 .02631 (146*2π)/4103 weeks
147-.05917 -.03796 (147*2π)/4103 weeks
148-.04232 -.01809 (148*2π)/4103 weeks
149-.02529 -.01609 (149*2π)/4103 weeks
150-.09403 -.00474 (150*2π)/4103 weeks
151-.02452 -.06313 (151*2π)/4103 weeks
152-.03168 -.04394 (152*2π)/4103 weeks
153-.08899 -.006 (153*2π)/4103 weeks
154-.06086 -.00472 (154*2π)/4103 weeks
155-.05188 -.03394 (155*2π)/4103 weeks
156-.07269 -.02163 (156*2π)/4103 weeks
157-.10043 -.0087 (157*2π)/4103 weeks
158-.04223 -.02339 (158*2π)/4103 weeks
159-.03199 -.03513 (159*2π)/4103 weeks
160-.08434 -.03043 (160*2π)/4103 weeks
161-.05828 -.01113 (161*2π)/4103 weeks
162-.05838 -.00821 (162*2π)/4103 weeks
163-.05785 -.00523 (163*2π)/4103 weeks
164-.06033 -.01404 (164*2π)/4103 weeks
165-.0829 -.02645 (165*2π)/4102 weeks
166-.0756 -.04548 (166*2π)/4102 weeks
167-.05459 -.02396 (167*2π)/4102 weeks
168-.06562 -.02234 (168*2π)/4102 weeks
169-.07178 -.03585 (169*2π)/4102 weeks
170-.0544 -.02949 (170*2π)/4102 weeks
171-.09976 -.01782 (171*2π)/4102 weeks
172-.08848 .00157 (172*2π)/4102 weeks
173-.06457 -.01106 (173*2π)/4102 weeks
174-.0799 .00134 (174*2π)/4102 weeks
175-.08165 -.00848 (175*2π)/4102 weeks
176-.06364 -.00904 (176*2π)/4102 weeks
177-.06582 -.00663 (177*2π)/4102 weeks
178-.04649 .06168 (178*2π)/4102 weeks
179-.04439 -.03511 (179*2π)/4102 weeks
180-.02958 -.01608 (180*2π)/4102 weeks
181-.08645 -.0156 (181*2π)/4102 weeks
182-.07379 -.02806 (182*2π)/4102 weeks
183-.03822 -.01969 (183*2π)/4102 weeks
184-.04014 -.02449 (184*2π)/4102 weeks
185-.10364 -.02612 (185*2π)/4102 weeks
186-.04524 .01162 (186*2π)/4102 weeks
187-.05113 -.02984 (187*2π)/4102 weeks
188-.08397 -.00355 (188*2π)/4102 weeks
189-.04927 .03864 (189*2π)/4102 weeks
190-.05529 -.03296 (190*2π)/4102 weeks
191-.07819 .01486 (191*2π)/4102 weeks
192-.08377 -.01926 (192*2π)/4102 weeks
193-.06961 -.02752 (193*2π)/4102 weeks
194-.06311 .0118 (194*2π)/4102 weeks
195-.07987 -.0173 (195*2π)/4102 weeks
196-.0914 .03829 (196*2π)/4102 weeks
197-.07973 .03213 (197*2π)/4102 weeks
198-.04486 -.0045 (198*2π)/4102 weeks
199-.08346 -.01907 (199*2π)/4102 weeks
200-.06191 -.00787 (200*2π)/4102 weeks
201-.03748 .01623 (201*2π)/4102 weeks
202-.02 .03795 (202*2π)/4102 weeks
203-.04593 -.02272 (203*2π)/4102 weeks
204-.05966 .02041 (204*2π)/4102 weeks
205-.06627   (205*2π)/4102 weeks
206-.05966 -.02041 (206*2π)/4102 weeks
207-.04593 .02272 (207*2π)/4102 weeks
208-.02 -.03795 (208*2π)/4102 weeks
209-.03748 -.01623 (209*2π)/4102 weeks
210-.06191 .00787 (210*2π)/4102 weeks
211-.08346 .01907 (211*2π)/4102 weeks
212-.04486 .0045 (212*2π)/4102 weeks
213-.07973 -.03213 (213*2π)/4102 weeks
214-.0914 -.03829 (214*2π)/4102 weeks
215-.07987 .0173 (215*2π)/4102 weeks
216-.06311 -.0118 (216*2π)/4102 weeks
217-.06961 .02752 (217*2π)/4102 weeks
218-.08377 .01926 (218*2π)/4102 weeks
219-.07819 -.01486 (219*2π)/4102 weeks
220-.05529 .03296 (220*2π)/4102 weeks
221-.04927 -.03864 (221*2π)/4102 weeks
222-.08397 .00355 (222*2π)/4102 weeks
223-.05113 .02984 (223*2π)/4102 weeks
224-.04524 -.01162 (224*2π)/4102 weeks
225-.10364 .02612 (225*2π)/4102 weeks
226-.04014 .02449 (226*2π)/4102 weeks
227-.03822 .01969 (227*2π)/4102 weeks
228-.07379 .02806 (228*2π)/4102 weeks
229-.08645 .0156 (229*2π)/4102 weeks
230-.02958 .01608 (230*2π)/4102 weeks
231-.04439 .03511 (231*2π)/4102 weeks
232-.04649 -.06168 (232*2π)/4102 weeks
233-.06582 .00663 (233*2π)/4102 weeks
234-.06364 .00904 (234*2π)/4102 weeks
235-.08165 .00848 (235*2π)/4102 weeks
236-.0799 -.00134 (236*2π)/4102 weeks
237-.06457 .01106 (237*2π)/4102 weeks
238-.08848 -.00157 (238*2π)/4102 weeks
239-.09976 .01782 (239*2π)/4102 weeks
240-.0544 .02949 (240*2π)/4102 weeks
241-.07178 .03585 (241*2π)/4102 weeks
242-.06562 .02234 (242*2π)/4102 weeks
243-.05459 .02396 (243*2π)/4102 weeks
244-.0756 .04548 (244*2π)/4102 weeks
245-.0829 .02645 (245*2π)/4102 weeks
246-.06033 .01404 (246*2π)/4102 weeks
247-.05785 .00523 (247*2π)/4102 weeks
248-.05838 .00821 (248*2π)/4102 weeks
249-.05828 .01113 (249*2π)/4102 weeks
250-.08434 .03043 (250*2π)/4102 weeks
251-.03199 .03513 (251*2π)/4102 weeks
252-.04223 .02339 (252*2π)/4102 weeks
253-.10043 .0087 (253*2π)/4102 weeks
254-.07269 .02163 (254*2π)/4102 weeks
255-.05188 .03394 (255*2π)/4102 weeks
256-.06086 .00472 (256*2π)/4102 weeks
257-.08899 .006 (257*2π)/4102 weeks
258-.03168 .04394 (258*2π)/4102 weeks
259-.02452 .06313 (259*2π)/4102 weeks
260-.09403 .00474 (260*2π)/4102 weeks
261-.02529 .01609 (261*2π)/4102 weeks
262-.04232 .01809 (262*2π)/4102 weeks
263-.05917 .03796 (263*2π)/4102 weeks
264-.0581 -.02631 (264*2π)/4102 weeks
265-.04626 .09039 (265*2π)/4102 weeks
266-.03433 .0514 (266*2π)/4102 weeks
267-.04883 .01871 (267*2π)/4102 weeks
268-.05926 .02374 (268*2π)/4102 weeks
269-.09285 .022 (269*2π)/4102 weeks
270-.08326 .03709 (270*2π)/4102 weeks
271-.0565 .0161 (271*2π)/4102 weeks
272-.06289 .02485 (272*2π)/4102 weeks
273-.07982 .01159 (273*2π)/4102 weeks
274-.08338 .07617 (274*2π)/4101 weeks
275-.05347 .06151 (275*2π)/4101 weeks
276-.04959 .03319 (276*2π)/4101 weeks
277-.04904 .04145 (277*2π)/4101 weeks
278-.10057 .02316 (278*2π)/4101 weeks
279-.10017 .04308 (279*2π)/4101 weeks
280-.07556 .08106 (280*2π)/4101 weeks
281-.06999 .08346 (281*2π)/4101 weeks
282-.05552 .04216 (282*2π)/4101 weeks
283-.06814 .05302 (283*2π)/4101 weeks
284-.06256 .03462 (284*2π)/4101 weeks
285-.06943 .0388 (285*2π)/4101 weeks
286-.05789 .0395 (286*2π)/4101 weeks
287-.03842 .04595 (287*2π)/4101 weeks
288-.09778 .01705 (288*2π)/4101 weeks
289-.09278 .05561 (289*2π)/4101 weeks
290-.06398 .06599 (290*2π)/4101 weeks
291-.05165 .03013 (291*2π)/4101 weeks
292-.01662 .07536 (292*2π)/4101 weeks
293-.06194 .05603 (293*2π)/4101 weeks
294-.08829 .06351 (294*2π)/4101 weeks
295-.08856 .07008 (295*2π)/4101 weeks
296-.07337 .09515 (296*2π)/4101 weeks
297-.08965 .07319 (297*2π)/4101 weeks
298-.06074 .04211 (298*2π)/4101 weeks
299-.03049 .06874 (299*2π)/4101 weeks
300-.07553 .02503 (300*2π)/4101 weeks
301-.07909 .08604 (301*2π)/4101 weeks
302-.02219 .11779 (302*2π)/4101 weeks
303-.02787 .04301 (303*2π)/4101 weeks
304-.06671 .02303 (304*2π)/4101 weeks
305-.03559 .00144 (305*2π)/4101 weeks
306-.07444 .03174 (306*2π)/4101 weeks
307-.11782 .0269 (307*2π)/4101 weeks
308-.05876 .05504 (308*2π)/4101 weeks
309-.00295 .08255 (309*2π)/4101 weeks
310-.06276 -.0137 (310*2π)/4101 weeks
311-.11858 -.01618 (311*2π)/4101 weeks
312-.10942 .08128 (312*2π)/4101 weeks
313-.02796 .08567 (313*2π)/4101 weeks
314-.08639 .05625 (314*2π)/4101 weeks
315-.07242 .12916 (315*2π)/4101 weeks
316-.02386 .10207 (316*2π)/4101 weeks
317-.05032 .05695 (317*2π)/4101 weeks
318-.10375 .12661 (318*2π)/4101 weeks
319-.05978 .07274 (319*2π)/4101 weeks
320-.12397 .09124 (320*2π)/4101 weeks
321-.09264 .14478 (321*2π)/4101 weeks
322-.05149 .11275 (322*2π)/4101 weeks
323-.03147 .07806 (323*2π)/4101 weeks
324-.03419 .05369 (324*2π)/4101 weeks
325-.04741 .10849 (325*2π)/4101 weeks
326-.08133 .06378 (326*2π)/4101 weeks
327-.10747 .07874 (327*2π)/4101 weeks
328-.02564 .10171 (328*2π)/4101 weeks
329-.01786 .04403 (329*2π)/4101 weeks
330-.03791 .05797 (330*2π)/4101 weeks
331-.15295 .11316 (331*2π)/4101 weeks
332-.00613 .11877 (332*2π)/4101 weeks
333-.06746 .11679 (333*2π)/4101 weeks
334-.05037 .11774 (334*2π)/4101 weeks
335-.01915 .08333 (335*2π)/4101 weeks
336-.07275 .06622 (336*2π)/4101 weeks
337-.07923 .09506 (337*2π)/4101 weeks
338-.0803 .07699 (338*2π)/4101 weeks
339-.08976 .17377 (339*2π)/4101 weeks
340-.09803 .12682 (340*2π)/4101 weeks
341-.05156 .12714 (341*2π)/4101 weeks
342-.02046 .12275 (342*2π)/4101 weeks
343-.01571 .13251 (343*2π)/4101 weeks
344.00867 .10491 (344*2π)/4101 weeks
345-.07313 .05195 (345*2π)/4101 weeks
346-.08701 .07108 (346*2π)/4101 weeks
347-.14842 .09843 (347*2π)/4101 weeks
348-.0968 .10086 (348*2π)/4101 weeks
349-.03288 .17832 (349*2π)/4101 weeks
350-.08624 .111 (350*2π)/4101 weeks
351-.00029 .10421 (351*2π)/4101 weeks
352-.03223 .14364 (352*2π)/4101 weeks
353-.13405 .22836 (353*2π)/4101 weeks
354-.11668 .03612 (354*2π)/4101 weeks
355-.12113 .05382 (355*2π)/4101 weeks
356-.16986 .18752 (356*2π)/4101 weeks
357-.0918 .18132 (357*2π)/4101 weeks
358.00626 .16381 (358*2π)/4101 weeks
359.02858 .16815 (359*2π)/4101 weeks
360-.10677 .22276 (360*2π)/4101 weeks
361.02358 .1103 (361*2π)/4101 weeks
362-.04174 .08575 (362*2π)/4101 weeks
363-.07155 .20696 (363*2π)/4101 weeks
364-.09238 .12914 (364*2π)/4101 weeks
365-.04032 .11599 (365*2π)/4101 weeks
366-.02564 .11921 (366*2π)/4101 weeks
367.0194 .15037 (367*2π)/4101 weeks
368-.17986 .0545 (368*2π)/4101 weeks
369-.0942 .17339 (369*2π)/4101 weeks
370-.00343 .19574 (370*2π)/4101 weeks
371-.10047 .27442 (371*2π)/4101 weeks
372-.06233 .22664 (372*2π)/4101 weeks
373.08149 .19714 (373*2π)/4101 weeks
374-.08071 .11994 (374*2π)/4101 weeks
375-.16301 .31531 (375*2π)/4101 weeks
376.01302 .25721 (376*2π)/4101 weeks
377-.02016 .08686 (377*2π)/4101 weeks
378-.12175 .38686 (378*2π)/4101 weeks
379-.07185 .29795 (379*2π)/4101 weeks
380-.02854 .08406 (380*2π)/4101 weeks
381-.06152 .27397 (381*2π)/4101 weeks
382-.02355 .25365 (382*2π)/4101 weeks
383-.1244 .22306 (383*2π)/4101 weeks
384-.00662 .30267 (384*2π)/4101 weeks
385-.09114 .52317 (385*2π)/4101 weeks
386-.04027 .40006 (386*2π)/4101 weeks
387.08263 .2598 (387*2π)/4101 weeks
388-.07925 .31804 (388*2π)/4101 weeks
389-.22221 .48288 (389*2π)/4101 weeks
390-.16085 .32885 (390*2π)/4101 weeks
391-.03209 .57775 (391*2π)/4101 weeks
392-.00151 .64785 (392*2π)/4101 weeks
393.17925 .39613 (393*2π)/4101 weeks
394-.06728 .51059 (394*2π)/4101 weeks
395-.08779 .59894 (395*2π)/4101 weeks
396-.07978 .73218 (396*2π)/4101 weeks
397-.33683 .83711 (397*2π)/4101 weeks
398.04418 .56342 (398*2π)/4101 weeks
399.1264 .89425 (399*2π)/4101 weeks
400-.18874 .80782 (400*2π)/4101 weeks
401.08768 .6096 (401*2π)/4101 weeks
402.34124 1.30417 (402*2π)/4101 weeks
403-.27938 1.27407 (403*2π)/4101 weeks
404-.5627 1.33264 (404*2π)/4101 weeks
405.4701 1.68621 (405*2π)/4101 weeks
406.40127 1.54949 (406*2π)/4101 weeks
407.86644 2.17164 (407*2π)/4101 weeks
408-1.26403 .77302 (408*2π)/4101 weeks