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# Fourier Analysis of NXPI (NXP Semiconductors N.V)

NXPI (NXP Semiconductors N.V) appears to have interesting cyclic behaviour every 41 weeks (3.4424*sine), 37 weeks (3.2148*sine), and 24 weeks (2.0038*cosine).

NXPI (NXP Semiconductors N.V) has an average price of 61.71 (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 8/6/2010 to 5/21/2018 for NXPI (NXP Semiconductors N.V), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
061.7136   0
11.5119 -42.53479 (1*2π)/408408 weeks
25.92147 -10.9498 (2*2π)/408204 weeks
3-.85915 -15.39689 (3*2π)/408136 weeks
4-3.88709 -5.89567 (4*2π)/408102 weeks
5.4226 -4.48571 (5*2π)/40882 weeks
6-2.55398 -8.1955 (6*2π)/40868 weeks
7-2.88377 -3.48655 (7*2π)/40858 weeks
8-.33674 -6.5491 (8*2π)/40851 weeks
9-1.30604 -4.44563 (9*2π)/40845 weeks
10.85453 -3.44239 (10*2π)/40841 weeks
11-.59981 -3.21481 (11*2π)/40837 weeks
12-.32659 -2.58789 (12*2π)/40834 weeks
13-.63838 -2.72624 (13*2π)/40831 weeks
14-1.32998 -1.52662 (14*2π)/40829 weeks
151.07047 -1.52842 (15*2π)/40827 weeks
16-.57888 -2.32514 (16*2π)/40826 weeks
17-2.00376 -1.61193 (17*2π)/40824 weeks
18-.09572 -1.10163 (18*2π)/40823 weeks
19.3846 -1.51691 (19*2π)/40821 weeks
20-.24759 -1.22536 (20*2π)/40820 weeks
21-.82173 -1.19336 (21*2π)/40819 weeks
22-.10823 -.69533 (22*2π)/40819 weeks
23-.51343 -1.1093 (23*2π)/40818 weeks
24.00928 -.90471 (24*2π)/40817 weeks
25.0172 -.90932 (25*2π)/40816 weeks
26-.09683 -.93704 (26*2π)/40816 weeks
27-.30126 -1.07875 (27*2π)/40815 weeks
28-.57918 -.69906 (28*2π)/40815 weeks
29.36561 -.44885 (29*2π)/40814 weeks
30-.47115 -1.74866 (30*2π)/40814 weeks
31.12145 -.2115 (31*2π)/40813 weeks
32.1183 -1.41746 (32*2π)/40813 weeks
33-.31446 -.66526 (33*2π)/40812 weeks
34.10319 -.62359 (34*2π)/40812 weeks
35-.01518 -.66372 (35*2π)/40812 weeks
36.13483 -.97598 (36*2π)/40811 weeks
37-.58174 -.62245 (37*2π)/40811 weeks
38.13339 -.13101 (38*2π)/40811 weeks
39.40425 -1.09164 (39*2π)/40810 weeks
40-.22057 -1.60044 (40*2π)/40810 weeks
41-.42339 -.57261 (41*2π)/40810 weeks
42.67833 -.80455 (42*2π)/40810 weeks
43-.33235 -.64738 (43*2π)/4089 weeks
44.77102 -.76103 (44*2π)/4089 weeks
45-.70015 -1.21571 (45*2π)/4089 weeks
46-.34017 .0887 (46*2π)/4089 weeks
47-.04453 -.74288 (47*2π)/4089 weeks
48-.02337 -.74012 (48*2π)/4089 weeks
49-.37779 -.87112 (49*2π)/4088 weeks
50-.2998 -.47292 (50*2π)/4088 weeks
51.00049 -.68685 (51*2π)/4088 weeks
52-.33472 -.56824 (52*2π)/4088 weeks
53.00488 -.62641 (53*2π)/4088 weeks
54-.32743 -.72034 (54*2π)/4088 weeks
55-.38001 -.60383 (55*2π)/4087 weeks
56-.12557 -.43668 (56*2π)/4087 weeks
57.05593 -.72684 (57*2π)/4087 weeks
58.02397 -.65888 (58*2π)/4087 weeks
59-.07426 -.39571 (59*2π)/4087 weeks
60-.24468 -.28791 (60*2π)/4087 weeks
61-.19114 -.51546 (61*2π)/4087 weeks
62-.14734 -.58271 (62*2π)/4087 weeks
63.20172 -.37502 (63*2π)/4086 weeks
64-.32227 -.97608 (64*2π)/4086 weeks
65-.47943 -.2735 (65*2π)/4086 weeks
66.29832 -.38256 (66*2π)/4086 weeks
67.06449 -.82363 (67*2π)/4086 weeks
68-.17134 -.68985 (68*2π)/4086 weeks
69-.24385 -.60588 (69*2π)/4086 weeks
70-.02541 -.36384 (70*2π)/4086 weeks
71-.01333 -.34014 (71*2π)/4086 weeks
72-.12927 -.56763 (72*2π)/4086 weeks
73-.53676 -.6641 (73*2π)/4086 weeks
74-.33542 -.08352 (74*2π)/4086 weeks
75-.01638 -.68405 (75*2π)/4085 weeks
76-.39186 -.67704 (76*2π)/4085 weeks
77-.18648 -.18755 (77*2π)/4085 weeks
78-.04574 -.47766 (78*2π)/4085 weeks
79-.77101 -.54953 (79*2π)/4085 weeks
80-.09094 .05975 (80*2π)/4085 weeks
81-.06506 -.871 (81*2π)/4085 weeks
82-.65771 -.31105 (82*2π)/4085 weeks
83-.16243 -.22929 (83*2π)/4085 weeks
84-.18598 -.44981 (84*2π)/4085 weeks
85-.11067 -.41454 (85*2π)/4085 weeks
86-.28407 -.39035 (86*2π)/4085 weeks
87-.05688 -.25207 (87*2π)/4085 weeks
88-.35236 -.49985 (88*2π)/4085 weeks
89-.2301 -.12581 (89*2π)/4085 weeks
90-.0238 -.57036 (90*2π)/4085 weeks
91-.23613 -.51369 (91*2π)/4084 weeks
92-.38593 -.31314 (92*2π)/4084 weeks
93-.22538 -.25777 (93*2π)/4084 weeks
94.07122 -.5129 (94*2π)/4084 weeks
95-.2933 -.47713 (95*2π)/4084 weeks
96-.24912 -.28859 (96*2π)/4084 weeks
97-.07513 -.21795 (97*2π)/4084 weeks
98-.34492 -.44442 (98*2π)/4084 weeks
99-.25217 -.10861 (99*2π)/4084 weeks
100-.17055 -.30072 (100*2π)/4084 weeks
101-.51942 -.26679 (101*2π)/4084 weeks
102-.27151 -.21506 (102*2π)/4084 weeks
103-.43354 -.39734 (103*2π)/4084 weeks
104-.15704 -.33228 (104*2π)/4084 weeks
105-.35457 -.50334 (105*2π)/4084 weeks
106-.4406 -.08949 (106*2π)/4084 weeks
107-.0696 -.25196 (107*2π)/4084 weeks
108-.35271 -.27686 (108*2π)/4084 weeks
109-.25151 -.10766 (109*2π)/4084 weeks
110-.41701 -.47833 (110*2π)/4084 weeks
111-.22469 -.37321 (111*2π)/4084 weeks
112-.20572 -.09163 (112*2π)/4084 weeks
113-.05855 -.0318 (113*2π)/4084 weeks
114-.20532 -.25235 (114*2π)/4084 weeks
115-.3468 -.33003 (115*2π)/4084 weeks
116-.22637 .12135 (116*2π)/4084 weeks
117-.10295 -.42825 (117*2π)/4083 weeks
118-.46687 -.25762 (118*2π)/4083 weeks
119-.10063 -.1396 (119*2π)/4083 weeks
120-.25776 -.41133 (120*2π)/4083 weeks
121-.43381 -.13784 (121*2π)/4083 weeks
122-.06221 -.22799 (122*2π)/4083 weeks
123-.26378 -.28601 (123*2π)/4083 weeks
124-.45484 -.16819 (124*2π)/4083 weeks
125-.25083 -.24279 (125*2π)/4083 weeks
126-.39028 -.39772 (126*2π)/4083 weeks
127-.2119 -.09428 (127*2π)/4083 weeks
128-.2067 -.30272 (128*2π)/4083 weeks
129-.37615 -.20906 (129*2π)/4083 weeks
130-.38906 -.21156 (130*2π)/4083 weeks
131-.28064 -.05197 (131*2π)/4083 weeks
132-.17728 -.08859 (132*2π)/4083 weeks
133-.45854 -.26631 (133*2π)/4083 weeks
134-.39027 -.0025 (134*2π)/4083 weeks
135-.3486 -.20688 (135*2π)/4083 weeks
136-.29882 -.14245 (136*2π)/4083 weeks
137-.38649 -.18038 (137*2π)/4083 weeks
138-.20135 -.20795 (138*2π)/4083 weeks
139-.32075 -.12189 (139*2π)/4083 weeks
140-.20231 .04583 (140*2π)/4083 weeks
141-.22809 -.11005 (141*2π)/4083 weeks
142-.31872 .00235 (142*2π)/4083 weeks
143-.16047 -.12922 (143*2π)/4083 weeks
144-.38119 -.10587 (144*2π)/4083 weeks
145-.21751 -.18489 (145*2π)/4083 weeks
146-.26565 -.06079 (146*2π)/4083 weeks
147-.07875 -.06689 (147*2π)/4083 weeks
148-.38497 -.15416 (148*2π)/4083 weeks
149-.42576 .16222 (149*2π)/4083 weeks
150-.22651 -.15372 (150*2π)/4083 weeks
151-.46071 -.25413 (151*2π)/4083 weeks
152-.2191 -.12342 (152*2π)/4083 weeks
153-.23394 -.0894 (153*2π)/4083 weeks
154-.37657 -.15947 (154*2π)/4083 weeks
155-.24656 .08701 (155*2π)/4083 weeks
156-.12062 -.0454 (156*2π)/4083 weeks
157-.39798 -.26478 (157*2π)/4083 weeks
158-.40676 .06748 (158*2π)/4083 weeks
159-.05334 -.07783 (159*2π)/4083 weeks
160-.27309 -.12083 (160*2π)/4083 weeks
161-.23769 -.02578 (161*2π)/4083 weeks
162-.20868 -.06559 (162*2π)/4083 weeks
163-.26191 .00146 (163*2π)/4083 weeks
164-.17155 .15965 (164*2π)/4082 weeks
165-.17507 -.06652 (165*2π)/4082 weeks
166-.28025 -.00362 (166*2π)/4082 weeks
167-.30678 -.00364 (167*2π)/4082 weeks
168-.24609 .04057 (168*2π)/4082 weeks
169-.168 -.04988 (169*2π)/4082 weeks
170-.13051 .01309 (170*2π)/4082 weeks
171-.22876 -.20508 (171*2π)/4082 weeks
172-.33274 -.04302 (172*2π)/4082 weeks
173-.11683 .08132 (173*2π)/4082 weeks
174-.17947 -.17135 (174*2π)/4082 weeks
175-.29171 -.13311 (175*2π)/4082 weeks
176-.2536 -.10957 (176*2π)/4082 weeks
177-.12507 -.14653 (177*2π)/4082 weeks
178-.19397 .02538 (178*2π)/4082 weeks
179-.23668 .08193 (179*2π)/4082 weeks
180-.25317 -.18113 (180*2π)/4082 weeks
181-.31175 -.07611 (181*2π)/4082 weeks
182-.1944 -.07767 (182*2π)/4082 weeks
183-.25523 -.04323 (183*2π)/4082 weeks
184-.13972 -.02772 (184*2π)/4082 weeks
185-.33772 -.13135 (185*2π)/4082 weeks
186-.15507 -.10144 (186*2π)/4082 weeks
187-.37532 .02823 (187*2π)/4082 weeks
188-.06897 .02002 (188*2π)/4082 weeks
189-.30174 -.14457 (189*2π)/4082 weeks
190-.20127 -.09397 (190*2π)/4082 weeks
191-.31942 -.01059 (191*2π)/4082 weeks
192-.14337 .07415 (192*2π)/4082 weeks
193-.20423 -.06351 (193*2π)/4082 weeks
194-.42273 -.10296 (194*2π)/4082 weeks
195-.26075 .12808 (195*2π)/4082 weeks
196-.2212 -.03081 (196*2π)/4082 weeks
197-.41056 .02216 (197*2π)/4082 weeks
198-.02105 -.09142 (198*2π)/4082 weeks
199-.3492 -.22159 (199*2π)/4082 weeks
200-.3549 .12309 (200*2π)/4082 weeks
201-.13388 .02164 (201*2π)/4082 weeks
202-.29813 -.10804 (202*2π)/4082 weeks
203-.28362 -.12495 (203*2π)/4082 weeks
204-.18217   (204*2π)/4082 weeks
205-.28362 .12495 (205*2π)/4082 weeks
206-.29813 .10804 (206*2π)/4082 weeks
207-.13388 -.02164 (207*2π)/4082 weeks
208-.3549 -.12309 (208*2π)/4082 weeks
209-.3492 .22159 (209*2π)/4082 weeks
210-.02105 .09142 (210*2π)/4082 weeks
211-.41056 -.02216 (211*2π)/4082 weeks
212-.2212 .03081 (212*2π)/4082 weeks
213-.26075 -.12808 (213*2π)/4082 weeks
214-.42273 .10296 (214*2π)/4082 weeks
215-.20423 .06351 (215*2π)/4082 weeks
216-.14337 -.07415 (216*2π)/4082 weeks
217-.31942 .01059 (217*2π)/4082 weeks
218-.20127 .09397 (218*2π)/4082 weeks
219-.30174 .14457 (219*2π)/4082 weeks
220-.06897 -.02002 (220*2π)/4082 weeks
221-.37532 -.02823 (221*2π)/4082 weeks
222-.15507 .10144 (222*2π)/4082 weeks
223-.33772 .13135 (223*2π)/4082 weeks
224-.13972 .02772 (224*2π)/4082 weeks
225-.25523 .04323 (225*2π)/4082 weeks
226-.1944 .07767 (226*2π)/4082 weeks
227-.31175 .07611 (227*2π)/4082 weeks
228-.25317 .18113 (228*2π)/4082 weeks
229-.23668 -.08193 (229*2π)/4082 weeks
230-.19397 -.02538 (230*2π)/4082 weeks
231-.12507 .14653 (231*2π)/4082 weeks
232-.2536 .10957 (232*2π)/4082 weeks
233-.29171 .13311 (233*2π)/4082 weeks
234-.17947 .17135 (234*2π)/4082 weeks
235-.11683 -.08132 (235*2π)/4082 weeks
236-.33274 .04302 (236*2π)/4082 weeks
237-.22876 .20508 (237*2π)/4082 weeks
238-.13051 -.01309 (238*2π)/4082 weeks
239-.168 .04988 (239*2π)/4082 weeks
240-.24609 -.04057 (240*2π)/4082 weeks
241-.30678 .00364 (241*2π)/4082 weeks
242-.28025 .00362 (242*2π)/4082 weeks
243-.17507 .06652 (243*2π)/4082 weeks
244-.17155 -.15965 (244*2π)/4082 weeks
245-.26191 -.00146 (245*2π)/4082 weeks
246-.20868 .06559 (246*2π)/4082 weeks
247-.23769 .02578 (247*2π)/4082 weeks
248-.27309 .12083 (248*2π)/4082 weeks
249-.05334 .07783 (249*2π)/4082 weeks
250-.40676 -.06748 (250*2π)/4082 weeks
251-.39798 .26478 (251*2π)/4082 weeks
252-.12062 .0454 (252*2π)/4082 weeks
253-.24656 -.08701 (253*2π)/4082 weeks
254-.37657 .15947 (254*2π)/4082 weeks
255-.23394 .0894 (255*2π)/4082 weeks
256-.2191 .12342 (256*2π)/4082 weeks
257-.46071 .25413 (257*2π)/4082 weeks
258-.22651 .15372 (258*2π)/4082 weeks
259-.42576 -.16222 (259*2π)/4082 weeks
260-.38497 .15416 (260*2π)/4082 weeks
261-.07875 .06689 (261*2π)/4082 weeks
262-.26565 .06079 (262*2π)/4082 weeks
263-.21751 .18489 (263*2π)/4082 weeks
264-.38119 .10587 (264*2π)/4082 weeks
265-.16047 .12922 (265*2π)/4082 weeks
266-.31872 -.00235 (266*2π)/4082 weeks
267-.22809 .11005 (267*2π)/4082 weeks
268-.20231 -.04583 (268*2π)/4082 weeks
269-.32075 .12189 (269*2π)/4082 weeks
270-.20135 .20795 (270*2π)/4082 weeks
271-.38649 .18038 (271*2π)/4082 weeks
272-.29882 .14245 (272*2π)/4082 weeks
273-.3486 .20688 (273*2π)/4081 weeks
274-.39027 .0025 (274*2π)/4081 weeks
275-.45854 .26631 (275*2π)/4081 weeks
276-.17728 .08859 (276*2π)/4081 weeks
277-.28064 .05197 (277*2π)/4081 weeks
278-.38906 .21156 (278*2π)/4081 weeks
279-.37615 .20906 (279*2π)/4081 weeks
280-.2067 .30272 (280*2π)/4081 weeks
281-.2119 .09428 (281*2π)/4081 weeks
282-.39028 .39772 (282*2π)/4081 weeks
283-.25083 .24279 (283*2π)/4081 weeks
284-.45484 .16819 (284*2π)/4081 weeks
285-.26378 .28601 (285*2π)/4081 weeks
286-.06221 .22799 (286*2π)/4081 weeks
287-.43381 .13784 (287*2π)/4081 weeks
288-.25776 .41133 (288*2π)/4081 weeks
289-.10063 .1396 (289*2π)/4081 weeks
290-.46687 .25762 (290*2π)/4081 weeks
291-.10295 .42825 (291*2π)/4081 weeks
292-.22637 -.12135 (292*2π)/4081 weeks
293-.3468 .33003 (293*2π)/4081 weeks
294-.20532 .25235 (294*2π)/4081 weeks
295-.05855 .0318 (295*2π)/4081 weeks
296-.20572 .09163 (296*2π)/4081 weeks
297-.22469 .37321 (297*2π)/4081 weeks
298-.41701 .47833 (298*2π)/4081 weeks
299-.25151 .10766 (299*2π)/4081 weeks
300-.35271 .27686 (300*2π)/4081 weeks
301-.0696 .25196 (301*2π)/4081 weeks
302-.4406 .08949 (302*2π)/4081 weeks
303-.35457 .50334 (303*2π)/4081 weeks
304-.15704 .33228 (304*2π)/4081 weeks
305-.43354 .39734 (305*2π)/4081 weeks
306-.27151 .21506 (306*2π)/4081 weeks
307-.51942 .26679 (307*2π)/4081 weeks
308-.17055 .30072 (308*2π)/4081 weeks
309-.25217 .10861 (309*2π)/4081 weeks
310-.34492 .44442 (310*2π)/4081 weeks
311-.07513 .21795 (311*2π)/4081 weeks
312-.24912 .28859 (312*2π)/4081 weeks
313-.2933 .47713 (313*2π)/4081 weeks
314.07122 .5129 (314*2π)/4081 weeks
315-.22538 .25777 (315*2π)/4081 weeks
316-.38593 .31314 (316*2π)/4081 weeks
317-.23613 .51369 (317*2π)/4081 weeks
318-.0238 .57036 (318*2π)/4081 weeks
319-.2301 .12581 (319*2π)/4081 weeks
320-.35236 .49985 (320*2π)/4081 weeks
321-.05688 .25207 (321*2π)/4081 weeks
322-.28407 .39035 (322*2π)/4081 weeks
323-.11067 .41454 (323*2π)/4081 weeks
324-.18598 .44981 (324*2π)/4081 weeks
325-.16243 .22929 (325*2π)/4081 weeks
326-.65771 .31105 (326*2π)/4081 weeks
327-.06506 .871 (327*2π)/4081 weeks
328-.09094 -.05975 (328*2π)/4081 weeks
329-.77101 .54953 (329*2π)/4081 weeks
330-.04574 .47766 (330*2π)/4081 weeks
331-.18648 .18755 (331*2π)/4081 weeks
332-.39186 .67704 (332*2π)/4081 weeks
333-.01638 .68405 (333*2π)/4081 weeks
334-.33542 .08352 (334*2π)/4081 weeks
335-.53676 .6641 (335*2π)/4081 weeks
336-.12927 .56763 (336*2π)/4081 weeks
337-.01333 .34014 (337*2π)/4081 weeks
338-.02541 .36384 (338*2π)/4081 weeks
339-.24385 .60588 (339*2π)/4081 weeks
340-.17134 .68985 (340*2π)/4081 weeks
341.06449 .82363 (341*2π)/4081 weeks
342.29832 .38256 (342*2π)/4081 weeks
343-.47943 .2735 (343*2π)/4081 weeks
344-.32227 .97608 (344*2π)/4081 weeks
345.20172 .37502 (345*2π)/4081 weeks
346-.14734 .58271 (346*2π)/4081 weeks
347-.19114 .51546 (347*2π)/4081 weeks
348-.24468 .28791 (348*2π)/4081 weeks
349-.07426 .39571 (349*2π)/4081 weeks
350.02397 .65888 (350*2π)/4081 weeks
351.05593 .72684 (351*2π)/4081 weeks
352-.12557 .43668 (352*2π)/4081 weeks
353-.38001 .60383 (353*2π)/4081 weeks
354-.32743 .72034 (354*2π)/4081 weeks
355.00488 .62641 (355*2π)/4081 weeks
356-.33472 .56824 (356*2π)/4081 weeks
357.00049 .68685 (357*2π)/4081 weeks
358-.2998 .47292 (358*2π)/4081 weeks
359-.37779 .87112 (359*2π)/4081 weeks
360-.02337 .74012 (360*2π)/4081 weeks
361-.04453 .74288 (361*2π)/4081 weeks
362-.34017 -.0887 (362*2π)/4081 weeks
363-.70015 1.21571 (363*2π)/4081 weeks
364.77102 .76103 (364*2π)/4081 weeks
365-.33235 .64738 (365*2π)/4081 weeks
366.67833 .80455 (366*2π)/4081 weeks
367-.42339 .57261 (367*2π)/4081 weeks
368-.22057 1.60044 (368*2π)/4081 weeks
369.40425 1.09164 (369*2π)/4081 weeks
370.13339 .13101 (370*2π)/4081 weeks
371-.58174 .62245 (371*2π)/4081 weeks
372.13483 .97598 (372*2π)/4081 weeks
373-.01518 .66372 (373*2π)/4081 weeks
374.10319 .62359 (374*2π)/4081 weeks
375-.31446 .66526 (375*2π)/4081 weeks
376.1183 1.41746 (376*2π)/4081 weeks
377.12145 .2115 (377*2π)/4081 weeks
378-.47115 1.74866 (378*2π)/4081 weeks
379.36561 .44885 (379*2π)/4081 weeks
380-.57918 .69906 (380*2π)/4081 weeks
381-.30126 1.07875 (381*2π)/4081 weeks
382-.09683 .93704 (382*2π)/4081 weeks
383.0172 .90932 (383*2π)/4081 weeks
384.00928 .90471 (384*2π)/4081 weeks
385-.51343 1.1093 (385*2π)/4081 weeks
386-.10823 .69533 (386*2π)/4081 weeks
387-.82173 1.19336 (387*2π)/4081 weeks
388-.24759 1.22536 (388*2π)/4081 weeks
389.3846 1.51691 (389*2π)/4081 weeks
390-.09572 1.10163 (390*2π)/4081 weeks
391-2.00376 1.61193 (391*2π)/4081 weeks
392-.57888 2.32514 (392*2π)/4081 weeks
3931.07047 1.52842 (393*2π)/4081 weeks
394-1.32998 1.52662 (394*2π)/4081 weeks
395-.63838 2.72624 (395*2π)/4081 weeks
396-.32659 2.58789 (396*2π)/4081 weeks
397-.59981 3.21481 (397*2π)/4081 weeks
398.85453 3.44239 (398*2π)/4081 weeks
399-1.30604 4.44563 (399*2π)/4081 weeks
400-.33674 6.5491 (400*2π)/4081 weeks
401-2.88377 3.48655 (401*2π)/4081 weeks
402-2.55398 8.1955 (402*2π)/4081 weeks
403.4226 4.48571 (403*2π)/4081 weeks
404-3.88709 5.89567 (404*2π)/4081 weeks
405-.85915 15.39689 (405*2π)/4081 weeks
4065.92147 10.9498 (406*2π)/4081 weeks