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Fourier Analysis of AMRN (Amarin Corporation plc)


AMRN (Amarin Corporation plc) appears to have interesting cyclic behaviour every 105 weeks (55.9832*sine), 114 weeks (51.9928*sine), and 126 weeks (47.854*sine).

AMRN (Amarin Corporation plc) has an average price of 175.43 (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 4/5/1993 to 4/24/2017 for AMRN (Amarin Corporation plc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0175.4256   0 
1224.2633 179.2013 (1*2π)/12551,255 weeks
289.71357 190.465 (2*2π)/1255628 weeks
3-.4227 156.402 (3*2π)/1255418 weeks
4-43.89158 77.51083 (4*2π)/1255314 weeks
5-.20859 6.86433 (5*2π)/1255251 weeks
639.5082 29.37663 (6*2π)/1255209 weeks
734.05651 43.30055 (7*2π)/1255179 weeks
832.91535 52.77565 (8*2π)/1255157 weeks
916.66007 62.7993 (9*2π)/1255139 weeks
103.322 47.85397 (10*2π)/1255126 weeks
1110.46456 51.99284 (11*2π)/1255114 weeks
12-13.04588 55.98317 (12*2π)/1255105 weeks
13-25.50261 27.09451 (13*2π)/125597 weeks
14-6.40021 12.8197 (14*2π)/125590 weeks
15.83478 15.42953 (15*2π)/125584 weeks
1614.56238 17.42605 (16*2π)/125578 weeks
179.70781 37.8866 (17*2π)/125574 weeks
18-10.74047 33.73299 (18*2π)/125570 weeks
19-9.3947 20.55648 (19*2π)/125566 weeks
20-4.45374 20.09474 (20*2π)/125563 weeks
21-7.38754 18.38976 (21*2π)/125560 weeks
22-3.80582 14.78775 (22*2π)/125557 weeks
23-5.38205 18.98621 (23*2π)/125555 weeks
24-6.02916 13.95235 (24*2π)/125552 weeks
25-4.76183 14.19261 (25*2π)/125550 weeks
26-6.1979 11.60618 (26*2π)/125548 weeks
27-3.85697 8.4334 (27*2π)/125546 weeks
28.67134 10.60192 (28*2π)/125545 weeks
29-1.47948 12.66863 (29*2π)/125543 weeks
30-1.02914 10.96997 (30*2π)/125542 weeks
31.96573 13.20261 (31*2π)/125540 weeks
32-1.05878 16.08623 (32*2π)/125539 weeks
33-4.17671 17.1415 (33*2π)/125538 weeks
34-9.3549 15.28776 (34*2π)/125537 weeks
35-11.04296 10.02113 (35*2π)/125536 weeks
36-8.04421 5.22913 (36*2π)/125535 weeks
37-3.22028 6.75119 (37*2π)/125534 weeks
38-5.30321 9.64937 (38*2π)/125533 weeks
39-7.12447 8.11498 (39*2π)/125532 weeks
40-8.57299 6.8851 (40*2π)/125531 weeks
41-8.10706 3.16413 (41*2π)/125531 weeks
42-5.71936 1.53461 (42*2π)/125530 weeks
43-4.3183 3.30072 (43*2π)/125529 weeks
44-6.95673 1.12685 (44*2π)/125529 weeks
45-3.45026 -2.0466 (45*2π)/125528 weeks
46.03808 -3.85416 (46*2π)/125527 weeks
475.91329 -.80516 (47*2π)/125527 weeks
486.75563 5.5718 (48*2π)/125526 weeks
491.17767 9.01871 (49*2π)/125526 weeks
50-.92998 4.78782 (50*2π)/125525 weeks
512.08987 4.09908 (51*2π)/125525 weeks
524.63581 7.89032 (52*2π)/125524 weeks
531.32128 12.80671 (53*2π)/125524 weeks
54-5.8919 13.38054 (54*2π)/125523 weeks
55-11.30075 7.0167 (55*2π)/125523 weeks
56-8.70188 -.2267 (56*2π)/125522 weeks
57-2.79331 -2.08545 (57*2π)/125522 weeks
581.02979 .57049 (58*2π)/125522 weeks
59.38932 4.56312 (59*2π)/125521 weeks
60-2.83611 4.87246 (60*2π)/125521 weeks
61-3.18677 1.18772 (61*2π)/125521 weeks
62-.17866 1.59984 (62*2π)/125520 weeks
63-.90921 3.40665 (63*2π)/125520 weeks
64-2.38034 4.02301 (64*2π)/125520 weeks
65-4.16705 .86194 (65*2π)/125519 weeks
66-1.18052 -2.54026 (66*2π)/125519 weeks
673.10686 -.73187 (67*2π)/125519 weeks
683.38862 1.97554 (68*2π)/125518 weeks
694.01496 3.98463 (69*2π)/125518 weeks
702.07635 6.18035 (70*2π)/125518 weeks
71-.1989 7.12247 (71*2π)/125518 weeks
72-2.37189 6.30993 (72*2π)/125517 weeks
73-4.19801 4.63483 (73*2π)/125517 weeks
74-4.43699 1.22677 (74*2π)/125517 weeks
75-1.63299 -.52908 (75*2π)/125517 weeks
76.76657 1.0677 (76*2π)/125517 weeks
77.65991 2.61756 (77*2π)/125516 weeks
78-.81213 3.85404 (78*2π)/125516 weeks
79-2.68666 2.67673 (79*2π)/125516 weeks
80-2.18472 -.47211 (80*2π)/125516 weeks
811.33842 -.44014 (81*2π)/125515 weeks
821.15048 1.43586 (82*2π)/125515 weeks
831.08589 1.40838 (83*2π)/125515 weeks
842.64816 2.14283 (84*2π)/125515 weeks
851.49479 4.26279 (85*2π)/125515 weeks
86.89748 3.82005 (86*2π)/125515 weeks
87-.15352 4.8594 (87*2π)/125514 weeks
88-1.63261 3.70687 (88*2π)/125514 weeks
89-.5477 2.28824 (89*2π)/125514 weeks
90-.28657 3.94858 (90*2π)/125514 weeks
91-1.11477 3.44583 (91*2π)/125514 weeks
92-1.21315 4.4221 (92*2π)/125514 weeks
93-3.50958 4.13363 (93*2π)/125513 weeks
94-4.48245 1.71748 (94*2π)/125513 weeks
95-3.47029 .5251 (95*2π)/125513 weeks
96-3.66259 -.22626 (96*2π)/125513 weeks
97-2.78607 -2.61901 (97*2π)/125513 weeks
98.34997 -2.76686 (98*2π)/125513 weeks
991.53138 -1.59781 (99*2π)/125513 weeks
1002.80231 -.01722 (100*2π)/125513 weeks
1011.68475 1.75518 (101*2π)/125512 weeks
102-.37081 1.45907 (102*2π)/125512 weeks
103.34724 -1.23763 (103*2π)/125512 weeks
1043.72765 -.3963 (104*2π)/125512 weeks
1054.05201 3.08328 (105*2π)/125512 weeks
1061.40705 4.51152 (106*2π)/125512 weeks
107-.79775 4.72444 (107*2π)/125512 weeks
108-3.20709 2.0604 (108*2π)/125512 weeks
109-1.09816 -1.36357 (109*2π)/125512 weeks
1102.1385 .05525 (110*2π)/125511 weeks
1111.16365 2.1839 (111*2π)/125511 weeks
112.48483 2.83189 (112*2π)/125511 weeks
113-2.13988 2.48603 (113*2π)/125511 weeks
114-2.49593 -1.44798 (114*2π)/125511 weeks
1151.47576 -2.78525 (115*2π)/125511 weeks
1163.03868 -.47874 (116*2π)/125511 weeks
1173.31037 .65352 (117*2π)/125511 weeks
1183.01498 2.41824 (118*2π)/125511 weeks
119.761 2.36816 (119*2π)/125511 weeks
1202.28672 .28461 (120*2π)/125510 weeks
1213.24455 2.82056 (121*2π)/125510 weeks
1221.59868 3.34325 (122*2π)/125510 weeks
1231.03904 3.35638 (123*2π)/125510 weeks
124-.2709 3.33064 (124*2π)/125510 weeks
125-.49525 .27524 (125*2π)/125510 weeks
1263.02106 .37873 (126*2π)/125510 weeks
1272.95668 3.33654 (127*2π)/125510 weeks
1281.51715 3.56557 (128*2π)/125510 weeks
1291.51446 3.80612 (129*2π)/125510 weeks
130.13111 3.56013 (130*2π)/125510 weeks
131.93945 2.72668 (131*2π)/125510 weeks
1321.26804 3.99809 (132*2π)/125510 weeks
133.24021 4.55022 (133*2π)/12559 weeks
134-.5309 4.46928 (134*2π)/12559 weeks
135-1.5299 4.18971 (135*2π)/12559 weeks
136-2.10916 3.24454 (136*2π)/12559 weeks
137-2.04665 2.30265 (137*2π)/12559 weeks
138-1.82265 1.72791 (138*2π)/12559 weeks
139-.91153 1.29621 (139*2π)/12559 weeks
140-.18645 1.83464 (140*2π)/12559 weeks
141-.33989 2.96401 (141*2π)/12559 weeks
142-1.92848 2.85392 (142*2π)/12559 weeks
143-2.40176 1.93519 (143*2π)/12559 weeks
144-1.71882 .49038 (144*2π)/12559 weeks
145-.19557 1.46158 (145*2π)/12559 weeks
146-1.29132 2.60043 (146*2π)/12559 weeks
147-2.75692 1.81201 (147*2π)/12559 weeks
148-2.71146 .27423 (148*2π)/12558 weeks
149-1.5192 -.72072 (149*2π)/12558 weeks
150-.085 -.04452 (150*2π)/12558 weeks
151-.19324 1.30303 (151*2π)/12558 weeks
152-1.83392 1.52612 (152*2π)/12558 weeks
153-2.0186 -.25802 (153*2π)/12558 weeks
154-.81718 -.47783 (154*2π)/12558 weeks
155-.50103 -.22157 (155*2π)/12558 weeks
156.04592 .1675 (156*2π)/12558 weeks
157-1.0425 1.09369 (157*2π)/12558 weeks
158-1.71273 -.7036 (158*2π)/12558 weeks
159.26987 -.95142 (159*2π)/12558 weeks
160-.04143 .5711 (160*2π)/12558 weeks
161-.71888 -.28598 (161*2π)/12558 weeks
162-.35719 .1548 (162*2π)/12558 weeks
163-1.55966 -.75957 (163*2π)/12558 weeks
164.28118 -1.96647 (164*2π)/12558 weeks
165.80344 -.00843 (165*2π)/12558 weeks
166-1.0701 -.60204 (166*2π)/12558 weeks
167-.34603 -2.35008 (167*2π)/12558 weeks
168.85181 -2.85567 (168*2π)/12557 weeks
1692.9694 -3.37594 (169*2π)/12557 weeks
1705.52759 -.51948 (170*2π)/12557 weeks
1713.08616 2.51961 (171*2π)/12557 weeks
172.98187 1.29055 (172*2π)/12557 weeks
1731.81019 .36465 (173*2π)/12557 weeks
1741.9506 .88897 (174*2π)/12557 weeks
1752.35771 .82034 (175*2π)/12557 weeks
1762.12748 2.05627 (176*2π)/12557 weeks
177.67362 2.10173 (177*2π)/12557 weeks
178.78631 .54716 (178*2π)/12557 weeks
1791.80464 1.21342 (179*2π)/12557 weeks
1801.41272 1.12085 (180*2π)/12557 weeks
1811.82097 1.43458 (181*2π)/12557 weeks
1821.9091 2.02757 (182*2π)/12557 weeks
1831.1794 2.46436 (183*2π)/12557 weeks
1841.02594 2.46355 (184*2π)/12557 weeks
185.10348 2.61959 (185*2π)/12557 weeks
186-.29033 1.68954 (186*2π)/12557 weeks
187.59614 1.15311 (187*2π)/12557 weeks
188.7421 1.80454 (188*2π)/12557 weeks
189.74656 1.87174 (189*2π)/12557 weeks
190.55142 2.48973 (190*2π)/12557 weeks
191-.23204 2.62909 (191*2π)/12557 weeks
192-.4467 1.96784 (192*2π)/12557 weeks
193-.45332 2.48877 (193*2π)/12557 weeks
194-1.64602 2.39429 (194*2π)/12556 weeks
195-2.17844 .96118 (195*2π)/12556 weeks
196-1.32303 .05541 (196*2π)/12556 weeks
197-.61064 -.04612 (197*2π)/12556 weeks
198-.30998 .4352 (198*2π)/12556 weeks
199-.46668 .65269 (199*2π)/12556 weeks
200-1.19727 .34641 (200*2π)/12556 weeks
201-.54592 -.90556 (201*2π)/12556 weeks
202.79642 -.44999 (202*2π)/12556 weeks
203.59819 .83157 (203*2π)/12556 weeks
204-.33293 .63546 (204*2π)/12556 weeks
205-.63062 .45008 (205*2π)/12556 weeks
206-1.02859 -.48827 (206*2π)/12556 weeks
207.11777 -1.52679 (207*2π)/12556 weeks
2081.08917 -.74757 (208*2π)/12556 weeks
209.81931 -.62727 (209*2π)/12556 weeks
2101.34442 -.5848 (210*2π)/12556 weeks
2111.8217 -.27535 (211*2π)/12556 weeks
2122.09239 .508 (212*2π)/12556 weeks
2131.51715 1.45749 (213*2π)/12556 weeks
214.1683 1.27144 (214*2π)/12556 weeks
215.0873 -.00894 (215*2π)/12556 weeks
2161.17814 -.36754 (216*2π)/12556 weeks
2171.48841 .12142 (217*2π)/12556 weeks
2181.89568 .478 (218*2π)/12556 weeks
2191.39345 1.30942 (219*2π)/12556 weeks
220.69932 .73618 (220*2π)/12556 weeks
2211.68754 .28342 (221*2π)/12556 weeks
2221.63258 1.64592 (222*2π)/12556 weeks
223.57373 1.0457 (223*2π)/12556 weeks
2241.10285 .4955 (224*2π)/12556 weeks
2251.3531 .69026 (225*2π)/12556 weeks
2261.95268 .34512 (226*2π)/12556 weeks
2272.89893 1.68741 (227*2π)/12556 weeks
2281.82589 2.59815 (228*2π)/12556 weeks
2291.28838 2.63282 (229*2π)/12555 weeks
230.88865 2.86339 (230*2π)/12555 weeks
231.13698 2.56431 (231*2π)/12555 weeks
232.21364 2.15946 (232*2π)/12555 weeks
233.22595 2.22491 (233*2π)/12555 weeks
234.00678 2.56151 (234*2π)/12555 weeks
235-.40073 2.35555 (235*2π)/12555 weeks
236-.90449 1.99297 (236*2π)/12555 weeks
237-.71088 1.51289 (237*2π)/12555 weeks
238-.69441 1.66629 (238*2π)/12555 weeks
239-.9375 1.53285 (239*2π)/12555 weeks
240-.82683 .89288 (240*2π)/12555 weeks
241-.64997 1.0298 (241*2π)/12555 weeks
242-.52432 .83894 (242*2π)/12555 weeks
243-.16329 1.08129 (243*2π)/12555 weeks
244-.32113 1.61914 (244*2π)/12555 weeks
245-.86434 1.65466 (245*2π)/12555 weeks
246-1.81404 1.72794 (246*2π)/12555 weeks
247-2.18002 .18694 (247*2π)/12555 weeks
248-1.25258 -.46529 (248*2π)/12555 weeks
249-.46203 -.2933 (249*2π)/12555 weeks
250-.42669 .02244 (250*2π)/12555 weeks
251-.31641 .43034 (251*2π)/12555 weeks
252-1.09964 .36265 (252*2π)/12555 weeks
253-1.05271 -.60056 (253*2π)/12555 weeks
254.12149 -.48504 (254*2π)/12555 weeks
255-.40464 .10121 (255*2π)/12555 weeks
256-.08368 -.52834 (256*2π)/12555 weeks
257.11309 -.04829 (257*2π)/12555 weeks
258-.11866 .0906 (258*2π)/12555 weeks
259.14814 .0131 (259*2π)/12555 weeks
260-.3581 .65168 (260*2π)/12555 weeks
261-1.01112 -.35176 (261*2π)/12555 weeks
262-.29103 -.88992 (262*2π)/12555 weeks
263.15633 -.6618 (263*2π)/12555 weeks
264.45477 -.827 (264*2π)/12555 weeks
265.76636 -.0949 (265*2π)/12555 weeks
266.26464 .03241 (266*2π)/12555 weeks
267.4148 -.16067 (267*2π)/12555 weeks
268.52396 .23048 (268*2π)/12555 weeks
269-.03502 .17685 (269*2π)/12555 weeks
270-.20084 -.0031 (270*2π)/12555 weeks
271-.09803 -.56979 (271*2π)/12555 weeks
272.4171 -.56205 (272*2π)/12555 weeks
273.57524 -.23508 (273*2π)/12555 weeks
274.32484 -.16662 (274*2π)/12555 weeks
275.39111 -.18099 (275*2π)/12555 weeks
276.43167 -.3043 (276*2π)/12555 weeks
277.30764 -.00878 (277*2π)/12555 weeks
278.35655 -.53365 (278*2π)/12555 weeks
279.72577 -.15669 (279*2π)/12554 weeks
280.3657 .06925 (280*2π)/12554 weeks
281-.01385 -.29285 (281*2π)/12554 weeks
282.36096 -.55266 (282*2π)/12554 weeks
283.57727 -.44397 (283*2π)/12554 weeks
284.28888 -.42547 (284*2π)/12554 weeks
285.29334 -.77823 (285*2π)/12554 weeks
286.32492 -1.18714 (286*2π)/12554 weeks
2871.5141 -1.46595 (287*2π)/12554 weeks
2881.88641 -.6243 (288*2π)/12554 weeks
2891.81068 -.25796 (289*2π)/12554 weeks
2901.85407 .32903 (290*2π)/12554 weeks
2911.01507 .75648 (291*2π)/12554 weeks
292.72716 .03925 (292*2π)/12554 weeks
293.92148 -.07727 (293*2π)/12554 weeks
294.99668 -.13528 (294*2π)/12554 weeks
2951.46622 -.11686 (295*2π)/12554 weeks
2961.27877 .59163 (296*2π)/12554 weeks
297.67032 .29505 (297*2π)/12554 weeks
298.77366 -.12264 (298*2π)/12554 weeks
2991.06965 .0306 (299*2π)/12554 weeks
300.97784 -.187 (300*2π)/12554 weeks
3011.38998 .04092 (301*2π)/12554 weeks
3021.12847 .09032 (302*2π)/12554 weeks
3031.46884 -.13984 (303*2π)/12554 weeks
3041.84814 .5627 (304*2π)/12554 weeks
3051.08352 .85481 (305*2π)/12554 weeks
306.91688 .66997 (306*2π)/12554 weeks
307.73975 .5243 (307*2π)/12554 weeks
308.47112 .17988 (308*2π)/12554 weeks
3091.12823 -.44629 (309*2π)/12554 weeks
3101.62535 .15647 (310*2π)/12554 weeks
3111.63377 .55593 (311*2π)/12554 weeks
3121.27293 1.01061 (312*2π)/12554 weeks
313.51772 .84899 (313*2π)/12554 weeks
314.84249 .05377 (314*2π)/12554 weeks
3151.23574 .51129 (315*2π)/12554 weeks
316.8608 .5441 (316*2π)/12554 weeks
317.7378 .14617 (317*2π)/12554 weeks
3181.09733 .0927 (318*2π)/12554 weeks
3191.30322 -.07008 (319*2π)/12554 weeks
3202.00121 .16991 (320*2π)/12554 weeks
3211.92482 1.11529 (321*2π)/12554 weeks
3221.07387 1.0389 (322*2π)/12554 weeks
3231.61023 .81336 (323*2π)/12554 weeks
3241.26943 1.44478 (324*2π)/12554 weeks
325.92441 .97759 (325*2π)/12554 weeks
3261.75314 1.1671 (326*2π)/12554 weeks
3271.08501 2.47126 (327*2π)/12554 weeks
328-.03797 2.19131 (328*2π)/12554 weeks
329-.87198 1.87355 (329*2π)/12554 weeks
330-1.72315 .53705 (330*2π)/12554 weeks
331-.743 -1.43482 (331*2π)/12554 weeks
3321.33277 -1.19144 (332*2π)/12554 weeks
3331.80614 .02228 (333*2π)/12554 weeks
3341.6531 .77105 (334*2π)/12554 weeks
3351.18625 1.44124 (335*2π)/12554 weeks
336.29287 1.17351 (336*2π)/12554 weeks
337.31027 .60949 (337*2π)/12554 weeks
338.69311 .4721 (338*2π)/12554 weeks
339.53442 .95965 (339*2π)/12554 weeks
340.18286 .58193 (340*2π)/12554 weeks
341.49616 .33903 (341*2π)/12554 weeks
342.64649 .63621 (342*2π)/12554 weeks
343.35148 .5237 (343*2π)/12554 weeks
344.3705 .46307 (344*2π)/12554 weeks
345.23317 .24658 (345*2π)/12554 weeks
346.54614 -.19805 (346*2π)/12554 weeks
3471.39335 .24157 (347*2π)/12554 weeks
348.74419 .93679 (348*2π)/12554 weeks
349.40853 .54392 (349*2π)/12554 weeks
350.34801 .28391 (350*2π)/12554 weeks
351.59985 -.34312 (351*2π)/12554 weeks
3521.82631 -.09401 (352*2π)/12554 weeks
3531.5414 1.16602 (353*2π)/12554 weeks
354.94521 1.13705 (354*2π)/12554 weeks
355.82535 1.28392 (355*2π)/12554 weeks
356.22128 1.19839 (356*2π)/12554 weeks
357.29921 .68126 (357*2π)/12554 weeks
358.26448 .75364 (358*2π)/12554 weeks
359.08472 .504 (359*2π)/12553 weeks
360.4419 -.14558 (360*2π)/12553 weeks
3611.30965 .50448 (361*2π)/12553 weeks
362.74541 1.04296 (362*2π)/12553 weeks
363.46187 .91278 (363*2π)/12553 weeks
364.23921 .86383 (364*2π)/12553 weeks
365.02157 .31734 (365*2π)/12553 weeks
366.872 .22839 (366*2π)/12553 weeks
367.7612 1.00363 (367*2π)/12553 weeks
368.08386 .91382 (368*2π)/12553 weeks
369.10388 .40455 (369*2π)/12553 weeks
370.28569 .33168 (370*2π)/12553 weeks
371.57899 .19256 (371*2π)/12553 weeks
372.65108 .57978 (372*2π)/12553 weeks
373.31983 .61576 (373*2π)/12553 weeks
374.30781 .35776 (374*2π)/12553 weeks
375.49431 .24329 (375*2π)/12553 weeks
376.64958 .28571 (376*2π)/12553 weeks
377.82846 .39892 (377*2π)/12553 weeks
378.82974 .75699 (378*2π)/12553 weeks
379.5859 .91221 (379*2π)/12553 weeks
380.20166 .88697 (380*2π)/12553 weeks
381.14163 .70377 (381*2π)/12553 weeks
382-.08154 .34783 (382*2π)/12553 weeks
383.5335 .00616 (383*2π)/12553 weeks
384.76248 .37353 (384*2π)/12553 weeks
385.7883 .79458 (385*2π)/12553 weeks
386.47926 1.10486 (386*2π)/12553 weeks
387-.16407 1.20297 (387*2π)/12553 weeks
388-.6648 .46411 (388*2π)/12553 weeks
389-.30001 -.25062 (389*2π)/12553 weeks
390.37586 -.26184 (390*2π)/12553 weeks
391.66226 -.14337 (391*2π)/12553 weeks
392.99059 .3438 (392*2π)/12553 weeks
393.50979 .88941 (393*2π)/12553 weeks
394.06899 .55623 (394*2π)/12553 weeks
395.29795 .32257 (395*2π)/12553 weeks
396.33592 .44796 (396*2π)/12553 weeks
397.10295 .66314 (397*2π)/12553 weeks
398-.19817 .41822 (398*2π)/12553 weeks
399-.24264 .05885 (399*2π)/12553 weeks
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