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Fourier Analysis of ABIO (ARCA biopharma, Inc.)


ABIO (ARCA biopharma, Inc.) appears to have interesting cyclic behaviour every 101 weeks (5128.924*cosine), 92 weeks (4156.823*cosine), and 72 weeks (3064.147*cosine).

ABIO (ARCA biopharma, Inc.) has an average price of 11,260.93 (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 8/8/1997 to 11/28/2016 for ABIO (ARCA biopharma, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
011,260.93   0 
18,635.912 14,542.98 (1*2π)/10081,008 weeks
2-423.1453 11,189.95 (2*2π)/1008504 weeks
3-8,325.211 6,072.218 (3*2π)/1008336 weeks
4-5,305.252 -4,995.48 (4*2π)/1008252 weeks
51,956.475 -5,625.624 (5*2π)/1008202 weeks
67,413.237 -2,741.411 (6*2π)/1008168 weeks
76,931.269 4,368.076 (7*2π)/1008144 weeks
83,196.537 5,868.067 (8*2π)/1008126 weeks
9-346.2908 7,566.462 (9*2π)/1008112 weeks
10-5,128.924 3,810.114 (10*2π)/1008101 weeks
11-4,156.823 -530.2244 (11*2π)/100892 weeks
12-1,691.641 -3,241.857 (12*2π)/100884 weeks
132,431.525 -2,366.855 (13*2π)/100878 weeks
143,064.147 241.2617 (14*2π)/100872 weeks
152,755.391 2,470.251 (15*2π)/100867 weeks
16122.8154 3,409.532 (16*2π)/100863 weeks
17-1,195.365 2,207.281 (17*2π)/100859 weeks
18-1,839.318 917.8584 (18*2π)/100856 weeks
19-1,258.216 -371.8524 (19*2π)/100853 weeks
20-520.2671 -1,077.456 (20*2π)/100850 weeks
21975.8043 -1,109.438 (21*2π)/100848 weeks
221,454.089 -219.5224 (22*2π)/100846 weeks
232,024.215 481.1907 (23*2π)/100844 weeks
241,546.767 1,894.875 (24*2π)/100842 weeks
25456.5142 2,399.445 (25*2π)/100840 weeks
26-1,124.285 2,191.831 (26*2π)/100839 weeks
27-1,803.502 635.6745 (27*2π)/100837 weeks
28-1,586.775 -961.8273 (28*2π)/100836 weeks
29737.7352 -2,212.963 (29*2π)/100835 weeks
302,561.375 -327.0744 (30*2π)/100834 weeks
312,611.658 1,450.902 (31*2π)/100833 weeks
321,049.439 3,532.353 (32*2π)/100832 weeks
33-1,501.82 2,801.174 (33*2π)/100831 weeks
34-2,445.008 1,317.565 (34*2π)/100830 weeks
35-2,353.671 -1,008.37 (35*2π)/100829 weeks
36-239.709 -1,948.347 (36*2π)/100828 weeks
371,369.073 -1,443.773 (37*2π)/100827 weeks
382,518.822 293.9323 (38*2π)/100827 weeks
391,624.827 2,168.156 (39*2π)/100826 weeks
40-69.20639 2,833.028 (40*2π)/100825 weeks
41-1,906.389 1,971.981 (41*2π)/100825 weeks
42-2,333.548 81.98981 (42*2π)/100824 weeks
43-1,314.186 -1,514.283 (43*2π)/100823 weeks
44608.735 -1,661.017 (44*2π)/100823 weeks
451,767.448 -489.0441 (45*2π)/100822 weeks
461,837.859 1,243.744 (46*2π)/100822 weeks
47407.6087 2,269.947 (47*2π)/100821 weeks
48-1,061.24 2,044.82 (48*2π)/100821 weeks
49-2,076.273 671.5118 (49*2π)/100821 weeks
50-1,465.726 -720.1189 (50*2π)/100820 weeks
51-587.2665 -1,299.715 (51*2π)/100820 weeks
52817.3578 -1,239.753 (52*2π)/100819 weeks
531,473.423 -12.42942 (53*2π)/100819 weeks
541,243.217 1,140.889 (54*2π)/100819 weeks
5519.10784 1,952.592 (55*2π)/100818 weeks
56-1,301.202 1,387.365 (56*2π)/100818 weeks
57-1,907.082 160.6129 (57*2π)/100818 weeks
58-1,293.06 -1,366.261 (58*2π)/100817 weeks
59324.4012 -1,690.324 (59*2π)/100817 weeks
601,512.633 -782.2719 (60*2π)/100817 weeks
611,587.455 730.5452 (61*2π)/100817 weeks
62552.9233 1,583.998 (62*2π)/100816 weeks
63-721.5325 1,510.484 (63*2π)/100816 weeks
64-1,421.154 371.0005 (64*2π)/100816 weeks
65-1,046.724 -661.2759 (65*2π)/100816 weeks
66-73.09441 -1,178.932 (66*2π)/100815 weeks
67863.4817 -688.6604 (67*2π)/100815 weeks
681,172.075 78.6622 (68*2π)/100815 weeks
69851.9782 1,055.857 (69*2π)/100815 weeks
70-127.3075 1,193.167 (70*2π)/100814 weeks
71-714.0563 858.1002 (71*2π)/100814 weeks
72-1,063.223 13.06302 (72*2π)/100814 weeks
73-477.0013 -623.5657 (73*2π)/100814 weeks
74117.5804 -745.8621 (74*2π)/100814 weeks
75834.7377 -353.1662 (75*2π)/100813 weeks
76829.0129 394.4525 (76*2π)/100813 weeks
77500.4126 905.7719 (77*2π)/100813 weeks
78-288.6497 1,028.147 (78*2π)/100813 weeks
79-701.5914 528.7822 (79*2π)/100813 weeks
80-827.5675 -49.35256 (80*2π)/100813 weeks
81-307.8119 -602.3351 (81*2π)/100812 weeks
82286.0363 -466.1532 (82*2π)/100812 weeks
83658.4777 -70.69769 (83*2π)/100812 weeks
84558.2903 588.5506 (84*2π)/100812 weeks
8548.23066 831.6202 (85*2π)/100812 weeks
86-506.9083 758.582 (86*2π)/100812 weeks
87-789.8402 218.6386 (87*2π)/100812 weeks
88-744.7107 -214.101 (88*2π)/100811 weeks
89-324.8719 -723.7175 (89*2π)/100811 weeks
90291.1066 -555.614 (90*2π)/100811 weeks
91616.744 -251.3937 (91*2π)/100811 weeks
92653.9251 471.3007 (92*2π)/100811 weeks
9352.354 765.9636 (93*2π)/100811 weeks
94-578.1937 705.4594 (94*2π)/100811 weeks
95-950.2649 -133.9198 (95*2π)/100811 weeks
96-454.0393 -627.7955 (96*2π)/100811 weeks
978.46084 -871.2276 (97*2π)/100810 weeks
98752.4247 -575.98 (98*2π)/100810 weeks
99831.6373 79.0004 (99*2π)/100810 weeks
100655.4086 593.0417 (100*2π)/100810 weeks
101-5.40595 884.9169 (101*2π)/100810 weeks
102-576.7802 565.2666 (102*2π)/100810 weeks
103-862.6673 -119.3566 (103*2π)/100810 weeks
104-304.2985 -829.2433 (104*2π)/100810 weeks
105466.3436 -738.2717 (105*2π)/100810 weeks
106960.3152 -167.699 (106*2π)/100810 weeks
107769.8863 626.6393 (107*2π)/10089 weeks
108109.8258 934.0095 (108*2π)/10089 weeks
109-577.1762 641.3075 (109*2π)/10089 weeks
110-689.9928 14.78901 (110*2π)/10089 weeks
111-505.7964 -484.6867 (111*2π)/10089 weeks
112161.9253 -742.9805 (112*2π)/10089 weeks
113664.98 -324.4518 (113*2π)/10089 weeks
114759.0399 249.5987 (114*2π)/10089 weeks
115294.982 758.799 (115*2π)/10089 weeks
116-305.6052 610.1243 (116*2π)/10089 weeks
117-590.7625 203.3752 (117*2π)/10089 weeks
118-479.5915 -372.5918 (118*2π)/10089 weeks
11931.22257 -547.5824 (119*2π)/10088 weeks
120420.2109 -377.5751 (120*2π)/10088 weeks
121587.0338 48.22449 (121*2π)/10088 weeks
122371.8954 378.5669 (122*2π)/10088 weeks
12331.89649 475.7211 (123*2π)/10088 weeks
124-236.4608 258.9924 (124*2π)/10088 weeks
125-254.5135 19.09866 (125*2π)/10088 weeks
126-117.7689 -192.5955 (126*2π)/10088 weeks
12742.45612 -157.8144 (127*2π)/10088 weeks
128123.9551 -255.7857 (128*2π)/10088 weeks
129425.6061 -136.1217 (129*2π)/10088 weeks
130475.3897 167.9178 (130*2π)/10088 weeks
131303.5124 513.0635 (131*2π)/10088 weeks
132-189.7196 504.4011 (132*2π)/10088 weeks
133-366.529 173.6693 (133*2π)/10088 weeks
134-361.2401 -189.0809 (134*2π)/10088 weeks
13535.95745 -408.1796 (135*2π)/10087 weeks
136307.4866 -231.217 (136*2π)/10087 weeks
137448.446 -12.96488 (137*2π)/10087 weeks
138373.0922 284.4675 (138*2π)/10087 weeks
139171.4062 458.2192 (139*2π)/10087 weeks
140-238.3578 466.0727 (140*2π)/10087 weeks
141-435.1843 72.37671 (141*2π)/10087 weeks
142-359.0999 -280.4456 (142*2π)/10087 weeks
14360.30767 -568.4606 (143*2π)/10087 weeks
144504.3923 -310.2368 (144*2π)/10087 weeks
145615.6198 78.81242 (145*2π)/10087 weeks
146377.5717 498.6441 (146*2π)/10087 weeks
147-52.94764 489.2278 (147*2π)/10087 weeks
148-352.0765 266.2739 (148*2π)/10087 weeks
149-326.3317 -227.635 (149*2π)/10087 weeks
15026.90475 -357.2148 (150*2π)/10087 weeks
151352.5499 -377.9326 (151*2π)/10087 weeks
152625.8558 40.40881 (152*2π)/10087 weeks
153462.0667 326.7405 (153*2π)/10087 weeks
154232.7798 611.8002 (154*2π)/10087 weeks
155-247.3735 454.1729 (155*2π)/10087 weeks
156-292.1956 181.1396 (156*2π)/10086 weeks
157-324.0518 -141.4667 (157*2π)/10086 weeks
15858.92206 -313.9596 (158*2π)/10086 weeks
159277.2288 -190.2698 (159*2π)/10086 weeks
160482.3156 60.99599 (160*2π)/10086 weeks
161307.5333 406.5492 (161*2π)/10086 weeks
16244.62567 484.2752 (162*2π)/10086 weeks
163-325.2665 404.3112 (163*2π)/10086 weeks
164-429.365 -40.05218 (164*2π)/10086 weeks
165-204.5086 -325.2021 (165*2π)/10086 weeks
166202.4323 -406.4066 (166*2π)/10086 weeks
167465.4631 -79.05647 (167*2π)/10086 weeks
168418.7864 237.7815 (168*2π)/10086 weeks
169128.0457 441.9309 (169*2π)/10086 weeks
170-111.4377 309.1694 (170*2π)/10086 weeks
171-237.2058 178.1977 (171*2π)/10086 weeks
172-228.0346 -93.2545 (172*2π)/10086 weeks
173-70.73508 -196.7531 (173*2π)/10086 weeks
174130.5975 -298.3082 (174*2π)/10086 weeks
175395.4557 -126.485 (175*2π)/10086 weeks
176454.9076 129.9029 (176*2π)/10086 weeks
177316.2124 466.6837 (177*2π)/10086 weeks
178-113.6043 505.0927 (178*2π)/10086 weeks
179-356.7812 251.0781 (179*2π)/10086 weeks
180-407.3129 -149.5245 (180*2π)/10086 weeks
181-53.45425 -435.2507 (181*2π)/10086 weeks
182335.4564 -374.7947 (182*2π)/10086 weeks
183619.7226 -39.91225 (183*2π)/10086 weeks
184540.5134 426.7122 (184*2π)/10085 weeks
185116.8765 721.4925 (185*2π)/10085 weeks
186-442.6719 529.4741 (186*2π)/10085 weeks
187-610.1784 -18.54637 (187*2π)/10085 weeks
188-303.1069 -531.4679 (188*2π)/10085 weeks
189329.8015 -559.5246 (189*2π)/10085 weeks
190683.3939 -107.1448 (190*2π)/10085 weeks
191571.7971 439.1675 (191*2π)/10085 weeks
19294.98869 626.7017 (192*2π)/10085 weeks
193-250.6853 474.5247 (193*2π)/10085 weeks
194-461.2835 126.7659 (194*2π)/10085 weeks
195-280.0482 -254.0912 (195*2π)/10085 weeks
19638.91347 -355.1848 (196*2π)/10085 weeks
197385.2977 -224.3932 (197*2π)/10085 weeks
198453.2769 167.2206 (198*2π)/10085 weeks
199255.7439 401.2781 (199*2π)/10085 weeks
200-80.01763 487.5435 (200*2π)/10085 weeks
201-347.3835 196.5868 (201*2π)/10085 weeks
202-273.7007 -94.21424 (202*2π)/10085 weeks
203-59.08142 -277.7932 (203*2π)/10085 weeks
204232.983 -203.0042 (204*2π)/10085 weeks
205360.0987 8.73866 (205*2π)/10085 weeks
206310.543 305.0833 (206*2π)/10085 weeks
2071.77786 421.9034 (207*2π)/10085 weeks
208-239.1497 253.721 (208*2π)/10085 weeks
209-259.061 -6.33016 (209*2π)/10085 weeks
210-117.2263 -168.8539 (210*2π)/10085 weeks
211123.1959 -206.5538 (211*2π)/10085 weeks
212258.4219 19.20509 (212*2π)/10085 weeks
213179.6463 140.3182 (213*2π)/10085 weeks
21498.71065 263.2296 (214*2π)/10085 weeks
215-111.3956 220.0502 (215*2π)/10085 weeks
216-159.792 94.27483 (216*2π)/10085 weeks
217-157.0471 -72.32478 (217*2π)/10085 weeks
2188.506 -119.6945 (218*2π)/10085 weeks
21971.94773 -101.2243 (219*2π)/10085 weeks
220195.1497 -14.29603 (220*2π)/10085 weeks
221118.9657 126.7354 (221*2π)/10085 weeks
22242.92782 136.5216 (222*2π)/10085 weeks
223-70.93037 103.1101 (223*2π)/10085 weeks
224-54.93706 -26.07567 (224*2π)/10085 weeks
225-2.30387 -66.28855 (225*2π)/10084 weeks
226118.2192 -83.7356 (226*2π)/10084 weeks
227128.8195 40.65344 (227*2π)/10084 weeks
228103.3111 29.92163 (228*2π)/10084 weeks
22988.70937 67.15068 (229*2π)/10084 weeks
23097.68945 44.25502 (230*2π)/10084 weeks
23176.87414 90.55941 (231*2π)/10084 weeks
23292.54491 48.39426 (232*2π)/10084 weeks
23388.60365 146.53 (233*2π)/10084 weeks
234-6.48268 104.5185 (234*2π)/10084 weeks
235-13.41625 48.74542 (235*2π)/10084 weeks
23656.61232 -33.85557 (236*2π)/10084 weeks
237164.1671 54.52753 (237*2π)/10084 weeks
238139.5318 148.6765 (238*2π)/10084 weeks
23957.50549 251.3311 (239*2π)/10084 weeks
240-112.7686 177.3294 (240*2π)/10084 weeks
241-80.1144 69.89594 (241*2π)/10084 weeks
242-84.73616 39.0944 (242*2π)/10084 weeks
243-32.14362 -17.63635 (243*2π)/10084 weeks
2448.98735 -15.94453 (244*2π)/10084 weeks
24575.9504 8.48473 (245*2π)/10084 weeks
24672.68131 90.19543 (246*2π)/10084 weeks
24715.07518 154.3577 (247*2π)/10084 weeks
248-121.4961 135.4068 (248*2π)/10084 weeks
249-174.0215 -14.00866 (249*2π)/10084 weeks
250-76.47826 -148.5925 (250*2π)/10084 weeks
25178.99594 -123.5154 (251*2π)/10084 weeks
252127.8427 -45.80244 (252*2π)/10084 weeks
253143.9839 80.10988 (253*2π)/10084 weeks
254-6.4213 128.589 (254*2π)/10084 weeks
255-62.10568 48.56303 (255*2π)/10084 weeks
256-101.2207 -43.56561 (256*2π)/10084 weeks
25713.92959 -146.101 (257*2π)/10084 weeks
25892.17325 -121.0112 (258*2π)/10084 weeks
259228.7986 -69.65379 (259*2π)/10084 weeks
260184.9888 127.3438 (260*2π)/10084 weeks
26170.14745 139.0139 (261*2π)/10084 weeks
262-53.75705 126.439 (262*2π)/10084 weeks
263-66.12088 -70.89703 (263*2π)/10084 weeks
26483.48052 -91.8869 (264*2π)/10084 weeks
265182.6939 -47.75633 (265*2π)/10084 weeks
266189.9579 135.8253 (266*2π)/10084 weeks
26736.50089 139.9973 (267*2π)/10084 weeks
2683.07922 110.2161 (268*2π)/10084 weeks
269-37.2571 10.77987 (269*2π)/10084 weeks
27070.121 -.65765 (270*2π)/10084 weeks
27153.72255 38.69651 (271*2π)/10084 weeks
27269.96762 46.6727 (272*2π)/10084 weeks
27345.75157 54.90347 (273*2π)/10084 weeks
27459.77927 72.23997 (274*2π)/10084 weeks
2757.0224 64.86923 (275*2π)/10084 weeks
27633.02459 51.0591 (276*2π)/10084 weeks
277.34726 43.53991 (277*2π)/10084 weeks
27839.34349 32.75733 (278*2π)/10084 weeks
279-.92969 49.62201 (279*2π)/10084 weeks
28019.82919 10.60463 (280*2π)/10084 weeks
28112.18292 13.4074 (281*2π)/10084 weeks
28263.20929 -12.50152 (282*2π)/10084 weeks
28370.54008 52.74541 (283*2π)/10084 weeks
28444.66779 56.84601 (284*2π)/10084 weeks
2858.85225 71.60139 (285*2π)/10084 weeks
286-8.45554 19.18647 (286*2π)/10084 weeks
2876.05195 -1.43233 (287*2π)/10084 weeks
28861.8237 -25.39292 (288*2π)/10084 weeks
28980.54276 44.47998 (289*2π)/10083 weeks
29052.03601 54.4704 (290*2π)/10083 weeks
29119.3705 68.27705 (291*2π)/10083 weeks
29221.81558 32.71455 (292*2π)/10083 weeks
293-3.27609 58.3404 (293*2π)/10083 weeks
2943.88403 -6.31418 (294*2π)/10083 weeks
29518.44397 39.10895 (295*2π)/10083 weeks
296-15.20256 -17.90526 (296*2π)/10083 weeks
29735.84875 -23.38713 (297*2π)/10083 weeks
29864.14521 -40.09373 (298*2π)/10083 weeks
299107.5059 32.06376 (299*2π)/10083 weeks
30066.73622 46.08226 (300*2π)/10083 weeks
30156.5158 106.9912 (301*2π)/10083 weeks
302-63.21877 62.27272 (302*2π)/10083 weeks
303-30.70069 -24.31807 (303*2π)/10083 weeks
304-6.0677 -77.14955 (304*2π)/10083 weeks
305116.3767 -88.37717 (305*2π)/10083 weeks
306167.9005 5.4818 (306*2π)/10083 weeks
307164.6706 122.7334 (307*2π)/10083 weeks
30820.62689 198.5104 (308*2π)/10083 weeks
309-100.0294 132.5872 (309*2π)/10083 weeks
310-184.1796 -12.44986 (310*2π)/10083 weeks
311-64.72122 -203.3586 (311*2π)/10083 weeks
312138.9146 -205.6802 (312*2π)/10083 weeks
313293.2487 -49.90087 (313*2π)/10083 weeks
314234.7847 162.0303 (314*2π)/10083 weeks
31595.85065 252.9163 (315*2π)/10083 weeks
316-146.0539 230.5634 (316*2π)/10083 weeks
317-187.9273 -36.266 (317*2π)/10083 weeks
318-84.25048 -118.0427 (318*2π)/10083 weeks
31952.8489 -225.0804 (319*2π)/10083 weeks
320244.2162 -101.1727 (320*2π)/10083 weeks
321272.7022 43.7587 (321*2π)/10083 weeks
322204.855 251.6922 (322*2π)/10083 weeks
323-24.23782 273.4475 (323*2π)/10083 weeks
324-181.6636 187.239 (324*2π)/10083 weeks
325-249.4705 -73.24639 (325*2π)/10083 weeks
326-46.53243 -224.2372 (326*2π)/10083 weeks
327153.3958 -222.1551 (327*2π)/10083 weeks
328327.4528 -2.77039 (328*2π)/10083 weeks
329196.9312 217.0215 (329*2π)/10083 weeks
33013.33611 285.5029 (330*2π)/10083 weeks
331-219.8659 159.9104 (331*2π)/10083 weeks
332-201.4555 -77.96562 (332*2π)/10083 weeks
333-70.75541 -223.1287 (333*2π)/10083 weeks
334172.3411 -195.3412 (334*2π)/10083 weeks
335241.4914 -9.62974 (335*2π)/10083 weeks
336176.8379 167.7398 (336*2π)/10083 weeks
337-47.76508 173.8704 (337*2π)/10083 weeks
338-82.64635 21.90712 (338*2π)/10083 weeks
339-70.78893 -62.11176 (339*2π)/10083 weeks
34069.62501 -135.7065 (340*2π)/10083 weeks
341140.1883 -17.07856 (341*2π)/10083 weeks
342113.4017 38.43602 (342*2π)/10083 weeks
34350.00732 71.72359 (343*2π)/10083 weeks
34430.21125 18.23384 (344*2π)/10083 weeks
34529.56829 22.9505 (345*2π)/10083 weeks
34654.07138 -32.23981 (346*2π)/10083 weeks
347108.6156 40.66821 (347*2π)/10083 weeks
34845.223 61.98175 (348*2π)/10083 weeks
34926.83703 63.2649 (349*2π)/10083 weeks
350-23.32257 19.99697 (350*2π)/10083 weeks
35111.07882 -45.04848 (351*2π)/10083 weeks
35297.56895 -56.03337 (352*2π)/10083 weeks
353141.2515 41.21556 (353*2π)/10083 weeks
35493.01393 103.2558 (354*2π)/10083 weeks
3557.81279 145.6439 (355*2π)/10083 weeks
356-98.12872 58.18122 (356*2π)/10083 weeks
357-75.08346 -52.8888 (357*2π)/10083 weeks
35818.18525 -140.08 (358*2π)/10083 weeks
359162.8892 -76.04356 (359*2π)/10083 weeks
360179.0002 35.02082 (360*2π)/10083 weeks
361138.5958 164.1597 (361*2π)/10083 weeks
362-46.10861 174.9644 (362*2π)/10083 weeks
363-91.57796 68.56462 (363*2π)/10083 weeks
364-139.2114 -30.66415 (364*2π)/10083 weeks
365-22.80108 -158.6212 (365*2π)/10083 weeks
36686.19979 -148.7065 (366*2π)/10083 weeks
367239.6224 -74.25914 (367*2π)/10083 weeks
368203.6581 143.515 (368*2π)/10083 weeks
36958.89137 208.7352 (369*2π)/10083 weeks
370-142.8908 174.8052 (370*2π)/10083 weeks
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