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Fourier Analysis of AMSC (American Superconductor Corpora)


AMSC (American Superconductor Corpora) appears to have interesting cyclic behaviour every 131 weeks (17.8331*sine), 131 weeks (16.4623*cosine), and 110 weeks (12.6066*cosine).

AMSC (American Superconductor Corpora) has an average price of 133.74 (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 12/12/1991 to 2/13/2017 for AMSC (American Superconductor Corpora), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0133.7362   0 
1-39.66517 11.3527 (1*2π)/13141,314 weeks
2-52.57482 45.32482 (2*2π)/1314657 weeks
355.69027 49.94572 (3*2π)/1314438 weeks
4-14.01111 14.10258 (4*2π)/1314329 weeks
5-36.66809 -29.19811 (5*2π)/1314263 weeks
617.52089 18.54048 (6*2π)/1314219 weeks
7-21.51326 22.16133 (7*2π)/1314188 weeks
820.84369 -26.70746 (8*2π)/1314164 weeks
93.93091 -1.85506 (9*2π)/1314146 weeks
10-16.4623 17.83311 (10*2π)/1314131 weeks
1112.51827 -2.27044 (11*2π)/1314119 weeks
1212.60662 -1.95729 (12*2π)/1314110 weeks
13-12.55847 14.41706 (13*2π)/1314101 weeks
14-.0808 -10.37592 (14*2π)/131494 weeks
154.4833 2.88277 (15*2π)/131488 weeks
16-2.0551 9.81628 (16*2π)/131482 weeks
1711.50882 -4.14606 (17*2π)/131477 weeks
18-.57513 1.65219 (18*2π)/131473 weeks
19-11.09916 9.32868 (19*2π)/131469 weeks
206.3365 3.82346 (20*2π)/131466 weeks
217.69598 -3.70323 (21*2π)/131463 weeks
22-11.33056 -.64192 (22*2π)/131460 weeks
235.49325 3.31494 (23*2π)/131457 weeks
245.87181 2.62851 (24*2π)/131455 weeks
25-.10664 1.31413 (25*2π)/131453 weeks
261.93878 4.58494 (26*2π)/131451 weeks
27-1.93599 2.5505 (27*2π)/131449 weeks
28-1.31254 5.3231 (28*2π)/131447 weeks
294.37806 3.16961 (29*2π)/131445 weeks
30-7.13407 -4.55118 (30*2π)/131444 weeks
31.92229 .46911 (31*2π)/131442 weeks
326.32282 6.56213 (32*2π)/131441 weeks
33-3.79189 -4.27074 (33*2π)/131440 weeks
342.31471 1.32056 (34*2π)/131439 weeks
354.15801 7.01959 (35*2π)/131438 weeks
36-4.58297 -3.57212 (36*2π)/131437 weeks
374.68916 5.46218 (37*2π)/131436 weeks
38-2.07281 4.82288 (38*2π)/131435 weeks
39-2.80225 -5.27994 (39*2π)/131434 weeks
403.8258 4.27856 (40*2π)/131433 weeks
41-.35345 5.26878 (41*2π)/131432 weeks
42-3.73253 -5.9039 (42*2π)/131431 weeks
435.72958 4.42926 (43*2π)/131431 weeks
44-1.0153 2.84615 (44*2π)/131430 weeks
45-3.69702 -.76396 (45*2π)/131429 weeks
464.44761 3.72997 (46*2π)/131429 weeks
47-1.12987 -1.80266 (47*2π)/131428 weeks
48-2.70716 2.65398 (48*2π)/131427 weeks
492.31506 2.91656 (49*2π)/131427 weeks
501.93728 .56948 (50*2π)/131426 weeks
51-3.88246 1.28822 (51*2π)/131426 weeks
522.39657 1.37149 (52*2π)/131425 weeks
53.73113 1.5085 (53*2π)/131425 weeks
54-4.043 2.21664 (54*2π)/131424 weeks
551.45565 .41927 (55*2π)/131424 weeks
56.88547 2.54229 (56*2π)/131423 weeks
57-4.40809 .06703 (57*2π)/131423 weeks
581.81829 -.28325 (58*2π)/131423 weeks
59-1.73665 4.77438 (59*2π)/131422 weeks
60.01116 -3.19822 (60*2π)/131422 weeks
611.73168 .26013 (61*2π)/131422 weeks
62-3.29792 3.29119 (62*2π)/131421 weeks
63-.58609 .78918 (63*2π)/131421 weeks
642.58746 -1.23015 (64*2π)/131421 weeks
65-1.40206 1.78828 (65*2π)/131420 weeks
66-3.9372 .46793 (66*2π)/131420 weeks
67.95806 1.15957 (67*2π)/131420 weeks
683.32252 -1.38353 (68*2π)/131419 weeks
69-3.03548 .84522 (69*2π)/131419 weeks
70-2.09581 1.39034 (70*2π)/131419 weeks
713.38 .42339 (71*2π)/131419 weeks
72-3.44534 -1.2765 (72*2π)/131418 weeks
73.91229 -2.02044 (73*2π)/131418 weeks
742.80333 3.9383 (74*2π)/131418 weeks
75-2.34972 .92053 (75*2π)/131418 weeks
76-.32881 -2.01111 (76*2π)/131417 weeks
773.26116 2.38531 (77*2π)/131417 weeks
78-3.97081 2.15285 (78*2π)/131417 weeks
79-.84625 -3.93941 (79*2π)/131417 weeks
801.55146 3.81811 (80*2π)/131416 weeks
81-.71976 .17959 (81*2π)/131416 weeks
82-1.2891 -4.88885 (82*2π)/131416 weeks
83.92748 3.57593 (83*2π)/131416 weeks
84.24969 1.2753 (84*2π)/131416 weeks
851.48734 -4.46137 (85*2π)/131415 weeks
86.3661 3.57112 (86*2π)/131415 weeks
87-1.39942 .88213 (87*2π)/131415 weeks
882.42036 -1.46125 (88*2π)/131415 weeks
891.2554 1.96423 (89*2π)/131415 weeks
90-2.49234 .94324 (90*2π)/131415 weeks
911.82553 -.29108 (91*2π)/131414 weeks
92.68627 2.55373 (92*2π)/131414 weeks
93-2.14992 .80845 (93*2π)/131414 weeks
94-.17313 -1.97917 (94*2π)/131414 weeks
95.87661 2.5008 (95*2π)/131414 weeks
96-1.61411 .3836 (96*2π)/131414 weeks
97-.32724 -2.14911 (97*2π)/131414 weeks
98.42618 1.10661 (98*2π)/131413 weeks
99.6067 .01147 (99*2π)/131413 weeks
100.52992 -1.38203 (100*2π)/131413 weeks
101.69009 2.60817 (101*2π)/131413 weeks
102-.81881 .14451 (102*2π)/131413 weeks
103.08083 -.87693 (103*2π)/131413 weeks
104.63625 1.62595 (104*2π)/131413 weeks
105-.84547 -.21733 (105*2π)/131413 weeks
106.56719 -.82533 (106*2π)/131412 weeks
107.43939 1.39063 (107*2π)/131412 weeks
108-.37184 -.99756 (108*2π)/131412 weeks
109.57471 1.05645 (109*2π)/131412 weeks
1101.42834 .75798 (110*2π)/131412 weeks
111-.74298 -.63434 (111*2π)/131412 weeks
112.33065 .15304 (112*2π)/131412 weeks
1131.81364 2.03976 (113*2π)/131412 weeks
114-.37343 .31604 (114*2π)/131412 weeks
115-.88673 1.52523 (115*2π)/131411 weeks
116.39824 -.8467 (116*2π)/131411 weeks
117-.54085 1.15631 (117*2π)/131411 weeks
118-.43243 .54155 (118*2π)/131411 weeks
119.22684 -.1076 (119*2π)/131411 weeks
120.37314 .12009 (120*2π)/131411 weeks
121.196 .46573 (121*2π)/131411 weeks
122-.26405 -1.41477 (122*2π)/131411 weeks
1231.76468 2.9744 (123*2π)/131411 weeks
124-.63799 -.3753 (124*2π)/131411 weeks
125-.00468 .10649 (125*2π)/131411 weeks
126.43314 2.23929 (126*2π)/131410 weeks
127.04702 .41712 (127*2π)/131410 weeks
128-1.24489 -.15382 (128*2π)/131410 weeks
129-.08725 1.17901 (129*2π)/131410 weeks
130-.3778 -.37836 (130*2π)/131410 weeks
131-.0102 -.17783 (131*2π)/131410 weeks
132.55914 -.22483 (132*2π)/131410 weeks
133-.64488 .75314 (133*2π)/131410 weeks
134-.08006 .76944 (134*2π)/131410 weeks
1351.77314 -1.13003 (135*2π)/131410 weeks
136-1.26707 1.76654 (136*2π)/131410 weeks
137-.70959 -.21008 (137*2π)/131410 weeks
1381.71687 -.24171 (138*2π)/131410 weeks
139-1.06629 1.38304 (139*2π)/13149 weeks
140-.8283 -1.02803 (140*2π)/13149 weeks
1412.61737 .08625 (141*2π)/13149 weeks
142-1.7809 1.57602 (142*2π)/13149 weeks
143-.51742 -.66211 (143*2π)/13149 weeks
1442.50875 .40916 (144*2π)/13149 weeks
145-1.31791 2.18278 (145*2π)/13149 weeks
146-1.48191 -1.80126 (146*2π)/13149 weeks
1472.06096 .7596 (147*2π)/13149 weeks
148-.6655 1.83402 (148*2π)/13149 weeks
149-1.54399 -1.81914 (149*2π)/13149 weeks
1502.06443 1.42958 (150*2π)/13149 weeks
151-.84432 1.1067 (151*2π)/13149 weeks
152-1.97097 -1.30432 (152*2π)/13149 weeks
1532.43915 1.10637 (153*2π)/13149 weeks
154-.65137 .43575 (154*2π)/13149 weeks
155-1.14975 -1.65916 (155*2π)/13148 weeks
1561.75049 1.61185 (156*2π)/13148 weeks
157-.39509 1.14736 (157*2π)/13148 weeks
158-1.07719 -1.1377 (158*2π)/13148 weeks
1591.56525 .18637 (159*2π)/13148 weeks
160-1.39475 1.12971 (160*2π)/13148 weeks
161-.08507 .19378 (161*2π)/13148 weeks
1621.6298 -.27764 (162*2π)/13148 weeks
163-1.56982 .24939 (163*2π)/13148 weeks
164-.39462 -.34262 (164*2π)/13148 weeks
1652.07725 -.01687 (165*2π)/13148 weeks
166-.45159 .92632 (166*2π)/13148 weeks
167.24342 .15298 (167*2π)/13148 weeks
168.47777 .00028 (168*2π)/13148 weeks
169-.83413 2.28464 (169*2π)/13148 weeks
170.41047 -.25789 (170*2π)/13148 weeks
171-.65045 -.9846 (171*2π)/13148 weeks
172-.82378 1.05897 (172*2π)/13148 weeks
173.55389 .31625 (173*2π)/13148 weeks
174.14469 -.75364 (174*2π)/13148 weeks
175-.09367 .4942 (175*2π)/13148 weeks
176.63893 .47472 (176*2π)/13147 weeks
177-.1885 -.19402 (177*2π)/13147 weeks
178-.38089 .82327 (178*2π)/13147 weeks
179.40762 1.08855 (179*2π)/13147 weeks
180-.28369 -.83546 (180*2π)/13147 weeks
181-.55715 -.35484 (181*2π)/13147 weeks
182.10456 1.76992 (182*2π)/13147 weeks
183-.05147 -.53476 (183*2π)/13147 weeks
184.39472 .03107 (184*2π)/13147 weeks
185-.97793 .55795 (185*2π)/13147 weeks
186-.65472 -.31254 (186*2π)/13147 weeks
1871.21388 -.25681 (187*2π)/13147 weeks
188.34126 1.08041 (188*2π)/13147 weeks
189-1.29265 -.80576 (189*2π)/13147 weeks
190.81159 .29351 (190*2π)/13147 weeks
191.22571 .83728 (191*2π)/13147 weeks
192-.73946 -.8567 (192*2π)/13147 weeks
193.26404 .33364 (193*2π)/13147 weeks
194.67926 .62245 (194*2π)/13147 weeks
195-.61579 -.18887 (195*2π)/13147 weeks
196.16028 .31972 (196*2π)/13147 weeks
197.22312 .22361 (197*2π)/13147 weeks
198-.88524 -.82686 (198*2π)/13147 weeks
199.97631 .39782 (199*2π)/13147 weeks
2001.25937 1.18061 (200*2π)/13147 weeks
201-1.62509 -.2025 (201*2π)/13147 weeks
202-.08318 .56412 (202*2π)/13147 weeks
203.65373 .49762 (203*2π)/13146 weeks
204-.77944 -1.08005 (204*2π)/13146 weeks
205.43631 .96844 (205*2π)/13146 weeks
206.28163 .53523 (206*2π)/13146 weeks
207-.17921 -.83236 (207*2π)/13146 weeks
208-.73723 1.24932 (208*2π)/13146 weeks
209.27283 .55287 (209*2π)/13146 weeks
210-.19871 -1.14074 (210*2π)/13146 weeks
211-.46348 .41226 (211*2π)/13146 weeks
212.04212 -.33805 (212*2π)/13146 weeks
213.89331 .8962 (213*2π)/13146 weeks
214-.5425 .06632 (214*2π)/13146 weeks
215-.18874 -.78613 (215*2π)/13146 weeks
216-.47511 1.46964 (216*2π)/13146 weeks
217-.20894 -.25567 (217*2π)/13146 weeks
218.09013 -1.74094 (218*2π)/13146 weeks
219.2803 1.2505 (219*2π)/13146 weeks
220-.19654 -.26707 (220*2π)/13146 weeks
221-.02536 -.657 (221*2π)/13146 weeks
222.82226 1.0969 (222*2π)/13146 weeks
223-.05639 -.55761 (223*2π)/13146 weeks
224-.20089 .03364 (224*2π)/13146 weeks
225-.13983 1.11975 (225*2π)/13146 weeks
226-.19671 -.57321 (226*2π)/13146 weeks
227.36988 -.34762 (227*2π)/13146 weeks
228-.57761 .4774 (228*2π)/13146 weeks
229.07786 -.65948 (229*2π)/13146 weeks
230.68034 -.10916 (230*2π)/13146 weeks
231.28792 .17112 (231*2π)/13146 weeks
232-.10969 .02683 (232*2π)/13146 weeks
233.23906 .57946 (233*2π)/13146 weeks
234-.17904 .28788 (234*2π)/13146 weeks
235.44507 -.42941 (235*2π)/13146 weeks
236-.2272 .02082 (236*2π)/13146 weeks
237-.17798 .44328 (237*2π)/13146 weeks
238.5258 .48907 (238*2π)/13146 weeks
239-.89258 -.61878 (239*2π)/13145 weeks
240.60017 -.45446 (240*2π)/13145 weeks
241.52856 .54056 (241*2π)/13145 weeks
242-.45354 -.36743 (242*2π)/13145 weeks
2431.41621 -.06829 (243*2π)/13145 weeks
244.04649 1.5872 (244*2π)/13145 weeks
245-1.15956 -.51467 (245*2π)/13145 weeks
2461.53449 .1288 (246*2π)/13145 weeks
247-1.00367 1.27728 (247*2π)/13145 weeks
248-.94844 -.93632 (248*2π)/13145 weeks
2491.46057 -.15248 (249*2π)/13145 weeks
250-.65907 1.25962 (250*2π)/13145 weeks
251-.85312 -1.27457 (251*2π)/13145 weeks
2522.04599 -.08841 (252*2π)/13145 weeks
253-.43264 1.52398 (253*2π)/13145 weeks
254-1.22108 -.63813 (254*2π)/13145 weeks
2551.54294 -.06816 (255*2π)/13145 weeks
256-.73525 1.90026 (256*2π)/13145 weeks
257-1.22552 -1.31515 (257*2π)/13145 weeks
2581.84154 -.77911 (258*2π)/13145 weeks
259-1.36911 1.48125 (259*2π)/13145 weeks
260-.54718 -.82303 (260*2π)/13145 weeks
2612.89079 -.63153 (261*2π)/13145 weeks
262-2.26912 1.1575 (262*2π)/13145 weeks
263-.41861 -.34108 (263*2π)/13145 weeks
2642.82617 -.1207 (264*2π)/13145 weeks
265-2.00972 .56225 (265*2π)/13145 weeks
266-.95107 -1.09993 (266*2π)/13145 weeks
2672.87292 .29916 (267*2π)/13145 weeks
268-.96173 1.01895 (268*2π)/13145 weeks
269-.76856 -.32597 (269*2π)/13145 weeks
2701.64478 -.48625 (270*2π)/13145 weeks
271-1.16742 1.50741 (271*2π)/13145 weeks
272-.47898 -.14721 (272*2π)/13145 weeks
2731.40684 -.97709 (273*2π)/13145 weeks
274-1.1896 1.05289 (274*2π)/13145 weeks
275-.83177 -.62413 (275*2π)/13145 weeks
2761.94906 -.42147 (276*2π)/13145 weeks
277-.56348 1.01058 (277*2π)/13145 weeks
278-1.23501 -.76081 (278*2π)/13145 weeks
2791.64927 -.43941 (279*2π)/13145 weeks
280-.67459 1.63148 (280*2π)/13145 weeks
281-.85911 -1.32716 (281*2π)/13145 weeks
2821.80876 -.64772 (282*2π)/13145 weeks
283-.45133 1.46628 (283*2π)/13145 weeks
284-.27084 -.5978 (284*2π)/13145 weeks
285.86984 -.4885 (285*2π)/13145 weeks
286-.79896 1.55775 (286*2π)/13145 weeks
287-.32319 -1.18598 (287*2π)/13145 weeks
288.92417 -.47468 (288*2π)/13145 weeks
289-.7602 .64891 (289*2π)/13145 weeks
290.6995 -.42479 (290*2π)/13145 weeks
291.59203 -.12709 (291*2π)/13145 weeks
292-.63467 .49085 (292*2π)/13145 weeks
293.31089 -.17109 (293*2π)/13144 weeks
294.41882 -.20361 (294*2π)/13144 weeks
295-.14002 .24145 (295*2π)/13144 weeks
296.28282 .00509 (296*2π)/13144 weeks
297-.32975 -.03112 (297*2π)/13144 weeks
298.15741 -.16445 (298*2π)/13144 weeks
299.40918 .05555 (299*2π)/13144 weeks
300-.00021 -.17418 (300*2π)/13144 weeks
301.39617 -.10563 (301*2π)/13144 weeks
302-.05481 .59971 (302*2π)/13144 weeks
303.31583 -.47636 (303*2π)/13144 weeks
304.5106 .1161 (304*2π)/13144 weeks
305-.28286 .5603 (305*2π)/13144 weeks
306-.38075 -.46579 (306*2π)/13144 weeks
3071.09422 .0892 (307*2π)/13144 weeks
308-.18421 .51669 (308*2π)/13144 weeks
309-.0243 -.81568 (309*2π)/13144 weeks
310.42729 .22568 (310*2π)/13144 weeks
311.10859 1.01962 (311*2π)/13144 weeks
312-.1332 -1.10248 (312*2π)/13144 weeks
313.94789 -.19262 (313*2π)/13144 weeks
314-.2089 1.15604 (314*2π)/13144 weeks
315-.25977 -.62674 (315*2π)/13144 weeks
3161.33554 .39386 (316*2π)/13144 weeks
317-.03946 .20652 (317*2π)/13144 weeks
318-.89864 -.32032 (318*2π)/13144 weeks
3191.22613 .5875 (319*2π)/13144 weeks
320.29968 .61075 (320*2π)/13144 weeks
321-.85648 -.4425 (321*2π)/13144 weeks
322.52408 .13275 (322*2π)/13144 weeks
323.27723 .40566 (323*2π)/13144 weeks
324-.31136 .21712 (324*2π)/13144 weeks
325.70048 -.1507 (325*2π)/13144 weeks
326-.09324 .01497 (326*2π)/13144 weeks
327-.61022 .65274 (327*2π)/13144 weeks
3281.08095 .11734 (328*2π)/13144 weeks
329-.0935 .32351 (329*2π)/13144 weeks
330-1.01426 -.34022 (330*2π)/13144 weeks
331.42741 .10214 (331*2π)/13144 weeks
332.90325 .88161 (332*2π)/13144 weeks
333-.62933 -.3791 (333*2π)/13144 weeks
334-.54347 -.27346 (334*2π)/13144 weeks
335.60729 1.12663 (335*2π)/13144 weeks
336-.27382 -.52965 (336*2π)/13144 weeks
337-.10429 -.08803 (337*2π)/13144 weeks
338-.1056 .62305 (338*2π)/13144 weeks
339-.24053 -.84584 (339*2π)/13144 weeks
340.36703 .00165 (340*2π)/13144 weeks
341.27959 .5407 (341*2π)/13144 weeks
342-.28665 -.46555 (342*2π)/13144 weeks
343.49465 -.04758 (343*2π)/13144 weeks
344.00542 .71836 (344*2π)/13144 weeks
345-.3146 .11869 (345*2π)/13144 weeks
346.24509 -.56819 (346*2π)/13144 weeks
347-.03593 .34272 (347*2π)/13144 weeks
348-.19406 .04041 (348*2π)/13144 weeks
349.041 -.07119 (349*2π)/13144 weeks
350.29118 .26094 (350*2π)/13144 weeks
351-.6539 -.348 (351*2π)/13144 weeks
352.40282 -.29202 (352*2π)/13144 weeks
353.1142 .19402 (353*2π)/13144 weeks
354-.13581 -.38062 (354*2π)/13144 weeks
355.61448 -.33313 (355*2π)/13144 weeks
356.45166 .50454 (356*2π)/13144 weeks
357-.76396 .3181 (357*2π)/13144 weeks
358.88292 -.42163 (358*2π)/13144 weeks
359.22116 .25967 (359*2π)/13144 weeks
360-.67965 -.07285 (360*2π)/13144 weeks
361.57456 .40936 (361*2π)/13144 weeks
362.1275 -.04593 (362*2π)/13144 weeks
363-.59548 -.45872 (363*2π)/13144 weeks
364.65235 .291 (364*2π)/13144 weeks
365.05614 -.01817 (365*2π)/13144 weeks
366-.40652 -.15887 (366*2π)/13144 weeks
367.60132 -.08104 (367*2π)/13144 weeks
368.39779 -.05806 (368*2π)/13144 weeks
369-.22359 .1123 (369*2π)/13144 weeks
370.16448 .00541 (370*2π)/13144 weeks
371.47725 .26644 (371*2π)/13144 weeks
372-.20394 .32909 (372*2π)/13144 weeks
373.02051 -.57346 (373*2π)/13144 weeks
374.01272 .31132 (374*2π)/13144 weeks
375-.4442 .22774 (375*2π)/13144 weeks
376.6563 -.47885 (376*2π)/13143 weeks
377-.07086 -.47904 (377*2π)/13143 weeks
378-.41113 .07636 (378*2π)/13143 weeks
379.83104 .19603 (379*2π)/13143 weeks
380.94877 -.27451 (380*2π)/13143 weeks
381-.69067 -.14589 (381*2π)/13143 weeks
382.19991 .88759 (382*2π)/13143 weeks
383.68453 .12162 (383*2π)/13143 weeks
384-.63232 -.59908 (384*2π)/13143 weeks
385.15806 .32616 (385*2π)/13143 weeks
386.20709 -.31555 (386*2π)/13143 weeks
387.22849 .00229 (387*2π)/13143 weeks
388.04662 .40718 (388*2π)/13143 weeks
389.47838 -.61624 (389*2π)/13143 weeks
390.06063 .24533 (390*2π)/13143 weeks
391.0581 .72312 (391*2π)/13143 weeks
392.20945 -.36394 (392*2π)/13143 weeks
393.45303 .1139 (393*2π)/13143 weeks
394-.51198 .2943 (394*2π)/13143 weeks
395.20511 -.08216 (395*2π)/13143 weeks
396.3523 .48828 (396*2π)/13143 weeks
397-.66538 -.29823 (397*2π)/13143 weeks
398.20818 -.41057 (398*2π)/13143 weeks
399.20467 .51399 (399*2π)/13143 weeks
400-.10183 -.21287 (400*2π)/13143 weeks
401.62748 -.63514 (401*2π)/13143 weeks
402-.15498 .7611 (402*2π)/13143 weeks
403.19472 -.46851 (403*2π)/13143 weeks
404.71057 .29229 (404*2π)/13143 weeks
405-.63051 .64462 (405*2π)/13143 weeks
406.27109 -.7661 (406*2π)/13143 weeks
407.38159 .17294 (407*2π)/13143 weeks
408-.71509 .21111 (408*2π)/13143 weeks
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