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Fourier Analysis of ICPT (Intercept Pharmaceuticals Inc)


ICPT (Intercept Pharmaceuticals Inc) appears to have interesting cyclic behaviour every 25 weeks (12.6711*cosine), 19 weeks (12.0162*sine), and 25 weeks (9.299*sine).

ICPT (Intercept Pharmaceuticals Inc) has an average price of 152.5 (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 10/11/2012 to 7/10/2017 for ICPT (Intercept Pharmaceuticals Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0152.4996   0 
1-92.30263 3.35606 (1*2π)/249249 weeks
2-5.29107 -46.32196 (2*2π)/249125 weeks
320.58635 -27.50584 (3*2π)/24983 weeks
43.31149 37.44641 (4*2π)/24962 weeks
5-12.43627 -19.3212 (5*2π)/24950 weeks
6-1.16555 -15.74926 (6*2π)/24942 weeks
712.32437 -12.04012 (7*2π)/24936 weeks
8-5.98964 21.47569 (8*2π)/24931 weeks
9-18.19094 -16.85814 (9*2π)/24928 weeks
1012.67109 -9.29897 (10*2π)/24925 weeks
114.8905 6.84957 (11*2π)/24923 weeks
12-1.28005 -.55351 (12*2π)/24921 weeks
13-9.21456 -12.01615 (13*2π)/24919 weeks
148.48919 -4.06729 (14*2π)/24918 weeks
151.94641 2.33106 (15*2π)/24917 weeks
16-8.31461 -.56923 (16*2π)/24916 weeks
17.92983 -8.09082 (17*2π)/24915 weeks
181.76173 .34153 (18*2π)/24914 weeks
19-.9276 -2.51483 (19*2π)/24913 weeks
20.05785 -2.76729 (20*2π)/24912 weeks
21-2.10519 1.54999 (21*2π)/24912 weeks
22-2.34116 -4.08161 (22*2π)/24911 weeks
233.09899 -.99661 (23*2π)/24911 weeks
24.52004 2.7964 (24*2π)/24910 weeks
25-3.4821 -5.74149 (25*2π)/24910 weeks
263.89279 -1.393 (26*2π)/24910 weeks
27-.32579 -2.19113 (27*2π)/2499 weeks
28-2.0719 2.99525 (28*2π)/2499 weeks
29-3.83543 -3.73668 (29*2π)/2499 weeks
304.22862 -4.29679 (30*2π)/2498 weeks
313.54301 2.79532 (31*2π)/2498 weeks
32-8.6351 -1.80175 (32*2π)/2498 weeks
33-.27416 -3.37019 (33*2π)/2498 weeks
344.00287 .23905 (34*2π)/2497 weeks
35-.90893 2.00455 (35*2π)/2497 weeks
36-5.50343 -.78457 (36*2π)/2497 weeks
372.64923 -4.19466 (37*2π)/2497 weeks
38.78484 1.6279 (38*2π)/2497 weeks
39-1.78723 -1.06319 (39*2π)/2496 weeks
40-2.59549 .08873 (40*2π)/2496 weeks
41.86351 -2.31571 (41*2π)/2496 weeks
42.69666 .21033 (42*2π)/2496 weeks
43-.3615 1.19192 (43*2π)/2496 weeks
44-2.34811 -2.78826 (44*2π)/2496 weeks
45-.21273 -1.33958 (45*2π)/2496 weeks
463.22784 -.15079 (46*2π)/2495 weeks
47-2.0308 .79172 (47*2π)/2495 weeks
48-2.85629 -1.20967 (48*2π)/2495 weeks
491.35942 -3.88303 (49*2π)/2495 weeks
501.13085 2.64323 (50*2π)/2495 weeks
51-.90161 -.42211 (51*2π)/2495 weeks
52-2.44092 -.74344 (52*2π)/2495 weeks
53.39469 -4.04707 (53*2π)/2495 weeks
542.66048 2.827 (54*2π)/2495 weeks
55-3.22211 .7578 (55*2π)/2495 weeks
56-2.28054 -2.80231 (56*2π)/2494 weeks
573.28413 -.9902 (57*2π)/2494 weeks
58-.0154 1.62363 (58*2π)/2494 weeks
59-2.69541 .32153 (59*2π)/2494 weeks
60-.98094 -5.26129 (60*2π)/2494 weeks
611.90422 1.17199 (61*2π)/2494 weeks
62-1.77841 2.09273 (62*2π)/2494 weeks
63-1.74309 .39149 (63*2π)/2494 weeks
64.79203 -2.60186 (64*2π)/2494 weeks
652.20039 -.7002 (65*2π)/2494 weeks
66-1.63853 2.6299 (66*2π)/2494 weeks
67-2.20373 -1.38966 (67*2π)/2494 weeks
68.74473 -3.02214 (68*2π)/2494 weeks
69.97208 1.01575 (69*2π)/2494 weeks
70-.13739 1.40975 (70*2π)/2494 weeks
71-3.38112 -1.31738 (71*2π)/2494 weeks
721.53435 -2.52644 (72*2π)/2493 weeks
731.05625 1.34665 (73*2π)/2493 weeks
74-2.22041 -.35592 (74*2π)/2493 weeks
75-1.68719 -.95939 (75*2π)/2493 weeks
76.24636 -1.44375 (76*2π)/2493 weeks
771.92879 .16758 (77*2π)/2493 weeks
78-1.69802 2.3853 (78*2π)/2493 weeks
79-2.58935 -4.09405 (79*2π)/2493 weeks
802.13303 -.91636 (80*2π)/2493 weeks
811.00599 1.35614 (81*2π)/2493 weeks
82-3.97891 .77646 (82*2π)/2493 weeks
83-.37149 -3.33249 (83*2π)/2493 weeks
841.77463 .24872 (84*2π)/2493 weeks
85-.73982 1.88848 (85*2π)/2493 weeks
86-3.69274 -1.08945 (86*2π)/2493 weeks
871.23187 -2.02329 (87*2π)/2493 weeks
88.58891 .52327 (88*2π)/2493 weeks
89-1.28286 1.64558 (89*2π)/2493 weeks
90-1.30565 -1.39711 (90*2π)/2493 weeks
91-.57536 -1.4763 (91*2π)/2493 weeks
92.26545 .7862 (92*2π)/2493 weeks
93.19242 .76363 (93*2π)/2493 weeks
94-2.39487 -.7262 (94*2π)/2493 weeks
95-1.17053 -2.18982 (95*2π)/2493 weeks
962.28602 1.41561 (96*2π)/2493 weeks
97-1.69553 1.39377 (97*2π)/2493 weeks
98-1.76021 -.82938 (98*2π)/2493 weeks
99-.22542 -2.60119 (99*2π)/2493 weeks
1001.01385 2.42679 (100*2π)/2492 weeks
101-1.89755 .63766 (101*2π)/2492 weeks
102-1.02535 -1.00767 (102*2π)/2492 weeks
103.39871 -1.17719 (103*2π)/2492 weeks
1041.28783 .99556 (104*2π)/2492 weeks
105-1.72904 .80013 (105*2π)/2492 weeks
106-3.06905 -1.41206 (106*2π)/2492 weeks
1072.36029 -1.66162 (107*2π)/2492 weeks
108.0488 2.86351 (108*2π)/2492 weeks
109-2.51137 .9139 (109*2π)/2492 weeks
110-1.52639 -1.85695 (110*2π)/2492 weeks
1113.34547 -1.1221 (111*2π)/2492 weeks
112-.44857 3.2868 (112*2π)/2492 weeks
113-3.53463 -1.1085 (113*2π)/2492 weeks
1141.12011 -2.47708 (114*2π)/2492 weeks
115.6837 1.05912 (115*2π)/2492 weeks
116-.61582 1.2519 (116*2π)/2492 weeks
117-2.57781 .13592 (117*2π)/2492 weeks
118.48014 -2.06495 (118*2π)/2492 weeks
1192.03743 .89298 (119*2π)/2492 weeks
120-2.14823 1.60055 (120*2π)/2492 weeks
121-2.06096 -1.01172 (121*2π)/2492 weeks
122.69311 -1.57833 (122*2π)/2492 weeks
1231.46315 1.66214 (123*2π)/2492 weeks
124-1.80596 1.41215 (124*2π)/2492 weeks
125-1.80596 -1.41215 (125*2π)/2492 weeks
1261.46315 -1.66214 (126*2π)/2492 weeks
127.69311 1.57833 (127*2π)/2492 weeks
128-2.06096 1.01172 (128*2π)/2492 weeks
129-2.14823 -1.60055 (129*2π)/2492 weeks
1302.03743 -.89298 (130*2π)/2492 weeks
131.48014 2.06495 (131*2π)/2492 weeks
132-2.57781 -.13592 (132*2π)/2492 weeks
133-.61582 -1.2519 (133*2π)/2492 weeks
134.6837 -1.05912 (134*2π)/2492 weeks
1351.12011 2.47708 (135*2π)/2492 weeks
136-3.53463 1.1085 (136*2π)/2492 weeks
137-.44857 -3.2868 (137*2π)/2492 weeks
1383.34547 1.1221 (138*2π)/2492 weeks
139-1.52639 1.85695 (139*2π)/2492 weeks
140-2.51137 -.9139 (140*2π)/2492 weeks
141.0488 -2.86351 (141*2π)/2492 weeks
1422.36029 1.66162 (142*2π)/2492 weeks
143-3.06905 1.41206 (143*2π)/2492 weeks
144-1.72904 -.80013 (144*2π)/2492 weeks
1451.28783 -.99556 (145*2π)/2492 weeks
146.39871 1.17719 (146*2π)/2492 weeks
147-1.02535 1.00767 (147*2π)/2492 weeks
148-1.89755 -.63766 (148*2π)/2492 weeks
1491.01385 -2.42679 (149*2π)/2492 weeks
150-.22542 2.60119 (150*2π)/2492 weeks
151-1.76021 .82938 (151*2π)/2492 weeks
152-1.69553 -1.39377 (152*2π)/2492 weeks
1532.28602 -1.41561 (153*2π)/2492 weeks
154-1.17053 2.18982 (154*2π)/2492 weeks
155-2.39487 .7262 (155*2π)/2492 weeks
156.19242 -.76363 (156*2π)/2492 weeks
157.26545 -.7862 (157*2π)/2492 weeks
158-.57536 1.4763 (158*2π)/2492 weeks
159-1.30565 1.39711 (159*2π)/2492 weeks
160-1.28286 -1.64558 (160*2π)/2492 weeks
161.58891 -.52327 (161*2π)/2492 weeks
1621.23187 2.02329 (162*2π)/2492 weeks
163-3.69274 1.08945 (163*2π)/2492 weeks
164-.73982 -1.88848 (164*2π)/2492 weeks
1651.77463 -.24872 (165*2π)/2492 weeks
166-.37149 3.33249 (166*2π)/2492 weeks
167-3.97891 -.77646 (167*2π)/2491 weeks
1681.00599 -1.35614 (168*2π)/2491 weeks
1692.13303 .91636 (169*2π)/2491 weeks
170-2.58935 4.09405 (170*2π)/2491 weeks
171-1.69802 -2.3853 (171*2π)/2491 weeks
1721.92879 -.16758 (172*2π)/2491 weeks
173.24636 1.44375 (173*2π)/2491 weeks
174-1.68719 .95939 (174*2π)/2491 weeks
175-2.22041 .35592 (175*2π)/2491 weeks
1761.05625 -1.34665 (176*2π)/2491 weeks
1771.53435 2.52644 (177*2π)/2491 weeks
178-3.38112 1.31738 (178*2π)/2491 weeks
179-.13739 -1.40975 (179*2π)/2491 weeks
180.97208 -1.01575 (180*2π)/2491 weeks
181.74473 3.02214 (181*2π)/2491 weeks
182-2.20373 1.38966 (182*2π)/2491 weeks
183-1.63853 -2.6299 (183*2π)/2491 weeks
1842.20039 .7002 (184*2π)/2491 weeks
185.79203 2.60186 (185*2π)/2491 weeks
186-1.74309 -.39149 (186*2π)/2491 weeks
187-1.77841 -2.09273 (187*2π)/2491 weeks
1881.90422 -1.17199 (188*2π)/2491 weeks
189-.98094 5.26129 (189*2π)/2491 weeks
190-2.69541 -.32153 (190*2π)/2491 weeks
191-.0154 -1.62363 (191*2π)/2491 weeks
1923.28413 .9902 (192*2π)/2491 weeks
193-2.28054 2.80231 (193*2π)/2491 weeks
194-3.22211 -.7578 (194*2π)/2491 weeks
1952.66048 -2.827 (195*2π)/2491 weeks
196.39469 4.04707 (196*2π)/2491 weeks
197-2.44092 .74344 (197*2π)/2491 weeks
198-.90161 .42211 (198*2π)/2491 weeks
1991.13085 -2.64323 (199*2π)/2491 weeks
2001.35942 3.88303 (200*2π)/2491 weeks
201-2.85629 1.20967 (201*2π)/2491 weeks
202-2.0308 -.79172 (202*2π)/2491 weeks
2033.22784 .15079 (203*2π)/2491 weeks
204-.21273 1.33958 (204*2π)/2491 weeks
205-2.34811 2.78826 (205*2π)/2491 weeks
206-.3615 -1.19192 (206*2π)/2491 weeks
207.69666 -.21033 (207*2π)/2491 weeks
208.86351 2.31571 (208*2π)/2491 weeks
209-2.59549 -.08873 (209*2π)/2491 weeks
210-1.78723 1.06319 (210*2π)/2491 weeks
211.78484 -1.6279 (211*2π)/2491 weeks
2122.64923 4.19466 (212*2π)/2491 weeks
213-5.50343 .78457 (213*2π)/2491 weeks
214-.90893 -2.00455 (214*2π)/2491 weeks
2154.00287 -.23905 (215*2π)/2491 weeks
216-.27416 3.37019 (216*2π)/2491 weeks
217-8.6351 1.80175 (217*2π)/2491 weeks
2183.54301 -2.79532 (218*2π)/2491 weeks
2194.22862 4.29679 (219*2π)/2491 weeks
220-3.83543 3.73668 (220*2π)/2491 weeks
221-2.0719 -2.99525 (221*2π)/2491 weeks
222-.32579 2.19113 (222*2π)/2491 weeks
2233.89279 1.393 (223*2π)/2491 weeks
224-3.4821 5.74149 (224*2π)/2491 weeks
225.52004 -2.7964 (225*2π)/2491 weeks
2263.09899 .99661 (226*2π)/2491 weeks
227-2.34116 4.08161 (227*2π)/2491 weeks
228-2.10519 -1.54999 (228*2π)/2491 weeks
229.05785 2.76729 (229*2π)/2491 weeks
230-.9276 2.51483 (230*2π)/2491 weeks
2311.76173 -.34153 (231*2π)/2491 weeks
232.92983 8.09082 (232*2π)/2491 weeks
233-8.31461 .56923 (233*2π)/2491 weeks
2341.94641 -2.33106 (234*2π)/2491 weeks
2358.48919 4.06729 (235*2π)/2491 weeks
236-9.21456 12.01615 (236*2π)/2491 weeks
237-1.28005 .55351 (237*2π)/2491 weeks
2384.8905 -6.84957 (238*2π)/2491 weeks
23912.67109 9.29897 (239*2π)/2491 weeks
240-18.19094 16.85814 (240*2π)/2491 weeks
241-5.98964 -21.47569 (241*2π)/2491 weeks
24212.32437 12.04012 (242*2π)/2491 weeks
243-1.16555 15.74926 (243*2π)/2491 weeks
244-12.43627 19.3212 (244*2π)/2491 weeks
2453.31149 -37.44641 (245*2π)/2491 weeks
24620.58635 27.50584 (246*2π)/2491 weeks
247-5.29107 46.32196 (247*2π)/2491 weeks



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