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Fourier Analysis of ABIO (ARCA biopharma, Inc.)


ABIO (ARCA biopharma, Inc.) appears to have interesting cyclic behaviour every 103 weeks (4869.561*sine), 103 weeks (4616.062*cosine), and 93 weeks (4431.068*cosine).

ABIO (ARCA biopharma, Inc.) has an average price of 11,041.9 (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 4/17/2017 for ABIO (ARCA biopharma, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
011,041.9   0 
18,788.018 14,262.49 (1*2π)/10281,028 weeks
2-192.6113 11,036.37 (2*2π)/1028514 weeks
3-7,807.012 6,594.547 (3*2π)/1028343 weeks
4-5,892.947 -4,430.625 (4*2π)/1028257 weeks
51,425.56 -5,620.095 (5*2π)/1028206 weeks
66,706.171 -3,363.052 (6*2π)/1028171 weeks
77,391.309 3,582.637 (7*2π)/1028147 weeks
83,450.481 5,649.407 (8*2π)/1028129 weeks
9646.1142 7,273.802 (9*2π)/1028114 weeks
10-4,616.063 4,869.561 (10*2π)/1028103 weeks
11-4,431.068 110.1282 (11*2π)/102893 weeks
12-2,492.332 -2,643.359 (12*2π)/102886 weeks
131,606.096 -3,019.629 (13*2π)/102879 weeks
143,012.289 -274.5861 (14*2π)/102873 weeks
152,997.751 1,674.445 (15*2π)/102869 weeks
16968.3066 3,466.474 (16*2π)/102864 weeks
17-919.293 2,517.249 (17*2π)/102860 weeks
18-1,660.969 1,447.655 (18*2π)/102857 weeks
19-1,538.058 -38.38232 (19*2π)/102854 weeks
20-830.5647 -752.4251 (20*2π)/102851 weeks
21337.3375 -1,310.242 (21*2π)/102849 weeks
221,363.409 -493.4665 (22*2π)/102847 weeks
231,687.33 16.74118 (23*2π)/102845 weeks
241,951.283 1,295.659 (24*2π)/102843 weeks
25957.0424 2,157.061 (25*2π)/102841 weeks
26-253.8354 2,458.028 (26*2π)/102840 weeks
27-1,634.642 1,449.05 (27*2π)/102838 weeks
28-1,744.362 -1.86199 (28*2π)/102837 weeks
29-890.2996 -1,789.07 (29*2π)/102835 weeks
301,846.848 -1,612.73 (30*2π)/102834 weeks
312,550.539 398.503 (31*2π)/102833 weeks
322,351.541 2,271.082 (32*2π)/102832 weeks
33-57.63155 3,558.217 (33*2π)/102831 weeks
34-1,835.939 2,225.458 (34*2π)/102830 weeks
35-2,624.752 670.4459 (35*2π)/102829 weeks
36-1,751.338 -1,548.719 (36*2π)/102829 weeks
37249.9281 -1,817.708 (37*2π)/102828 weeks
381,751.897 -1,139.03 (38*2π)/102827 weeks
392,425.366 839.1131 (39*2π)/102826 weeks
401,265.389 2,353.902 (40*2π)/102826 weeks
41-468.814 2,757.675 (41*2π)/102825 weeks
42-2,069.889 1,615.099 (42*2π)/102824 weeks
43-2,217.827 -213.8939 (43*2π)/102824 weeks
44-1,035.051 -1,624.459 (44*2π)/102823 weeks
45795.8319 -1,524.376 (45*2π)/102823 weeks
461,802.145 -326.7583 (46*2π)/102822 weeks
471,726.438 1,364.696 (47*2π)/102822 weeks
48296.8193 2,237.193 (48*2π)/102821 weeks
49-1,106.369 1,972.653 (49*2π)/102821 weeks
50-2,039.874 608.9667 (50*2π)/102821 weeks
51-1,430.091 -711.8065 (51*2π)/102820 weeks
52-588.0954 -1,268.315 (52*2π)/102820 weeks
53759.7041 -1,241.566 (53*2π)/102819 weeks
541,441.618 -72.99415 (54*2π)/102819 weeks
551,257.948 1,036.629 (55*2π)/102819 weeks
56160.359 1,899.314 (56*2π)/102818 weeks
57-1,173.076 1,460.717 (57*2π)/102818 weeks
58-1,837.583 347.0978 (58*2π)/102818 weeks
59-1,456.163 -1,159.776 (59*2π)/102817 weeks
6059.03492 -1,709.804 (60*2π)/102817 weeks
611,324.092 -998.4598 (61*2π)/102817 weeks
621,664.012 419.9175 (62*2π)/102817 weeks
63801.254 1,450.593 (63*2π)/102816 weeks
64-393.966 1,600.066 (64*2π)/102816 weeks
65-1,343.31 704.0336 (65*2π)/102816 weeks
66-1,187.652 -405.6591 (66*2π)/102816 weeks
67-420.7635 -1,093.942 (67*2π)/102815 weeks
68634.9564 -907.7948 (68*2π)/102815 weeks
691,077.16 -192.514 (69*2π)/102815 weeks
701,083.725 703.8462 (70*2π)/102815 weeks
71202.6213 1,248.837 (71*2π)/102814 weeks
72-472.0239 982.5243 (72*2π)/102814 weeks
73-1,007.818 439.7603 (73*2π)/102814 weeks
74-768.1982 -451.7766 (74*2π)/102814 weeks
75-161.8802 -685.9727 (75*2π)/102814 weeks
76516.0668 -645.8348 (76*2π)/102814 weeks
77903.7963 64.75708 (77*2π)/102813 weeks
78690.3821 624.2203 (78*2π)/102813 weeks
79165.0048 1,059.047 (79*2π)/102813 weeks
80-538.7549 797.3561 (80*2π)/102813 weeks
81-768.5621 318.4248 (81*2π)/102813 weeks
82-692.512 -339.4479 (82*2π)/102813 weeks
83-33.87292 -591.2084 (83*2π)/102812 weeks
84426.5679 -350.3333 (84*2π)/102812 weeks
85697.2962 155.2374 (85*2π)/102812 weeks
86385.0034 709.0184 (86*2π)/102812 weeks
87-102.8738 831.6093 (87*2π)/102812 weeks
88-643.6845 618.4482 (88*2π)/102812 weeks
89-760.8795 92.05994 (89*2π)/102812 weeks
90-697.4444 -345.7463 (90*2π)/102811 weeks
91-144.2994 -735.512 (91*2π)/102811 weeks
92347.7032 -480.2793 (92*2π)/102811 weeks
93673.0161 -146.5959 (93*2π)/102811 weeks
94550.9306 568.0289 (94*2π)/102811 weeks
95-25.78051 756.354 (95*2π)/102811 weeks
96-667.373 631.6043 (96*2π)/102811 weeks
97-894.5884 -230.8908 (97*2π)/102811 weeks
98-408.7395 -632.3608 (98*2π)/102810 weeks
9961.73533 -865.4852 (99*2π)/102810 weeks
100761.1962 -525.9753 (100*2π)/102810 weeks
101811.6904 94.14581 (101*2π)/102810 weeks
102636.6635 590.09 (102*2π)/102810 weeks
103-2.44211 868.0669 (103*2π)/102810 weeks
104-555.4763 564.4828 (104*2π)/102810 weeks
105-847.2549 -78.62177 (105*2π)/102810 weeks
106-351.3138 -794.0432 (106*2π)/102810 weeks
107405.6038 -749.6639 (107*2π)/102810 weeks
108913.9141 -243.4641 (108*2π)/102810 weeks
109816.5696 540.139 (109*2π)/10289 weeks
110206.9845 903.5735 (110*2π)/10289 weeks
111-483.3801 720.8355 (111*2π)/10289 weeks
112-692.665 106.7241 (112*2π)/10289 weeks
113-558.4323 -370.3018 (113*2π)/10289 weeks
114-8.44207 -742.2484 (114*2π)/10289 weeks
115582.0753 -437.4069 (115*2π)/10289 weeks
116757.0314 84.59836 (116*2π)/10289 weeks
117472.4075 660.4533 (117*2π)/10289 weeks
118-165.5488 690.9097 (118*2π)/10289 weeks
119-510.9631 345.1902 (119*2π)/10289 weeks
120-578.2021 -186.0722 (120*2π)/10289 weeks
121-142.9211 -538.1512 (121*2π)/10288 weeks
122280.3244 -456.5645 (122*2π)/10288 weeks
123564.1235 -137.0647 (123*2π)/10288 weeks
124473.4126 270.8296 (124*2π)/10288 weeks
125189.3294 456.5132 (125*2π)/10288 weeks
126-151.1809 378.7297 (126*2π)/10288 weeks
127-253.0473 119.968 (127*2π)/10288 weeks
128-214.0492 -100.5177 (128*2π)/10288 weeks
129-2.57349 -192.936 (129*2π)/10288 weeks
13043.18327 -175.786 (130*2π)/10288 weeks
131265.6258 -254.9 (131*2π)/10288 weeks
132463.36 .61195 (132*2π)/10288 weeks
133442.6483 297.3418 (133*2π)/10288 weeks
134110.0609 577.3803 (134*2π)/10288 weeks
135-292.2476 368.5449 (135*2π)/10288 weeks
136-381.4401 64.58726 (136*2π)/10288 weeks
137-259.6576 -313.1732 (137*2π)/10288 weeks
138154.8938 -359.2138 (138*2π)/10287 weeks
139344.8804 -175.6743 (139*2π)/10287 weeks
140450.1418 75.25925 (140*2π)/10287 weeks
141318.5989 326.325 (141*2π)/10287 weeks
14294.89644 486.537 (142*2π)/10287 weeks
143-317.1314 389.3349 (143*2π)/10287 weeks
144-420.1694 .48049 (144*2π)/10287 weeks
145-314.6088 -345.0812 (145*2π)/10287 weeks
146151.9989 -550.9357 (146*2π)/10287 weeks
147521.9802 -251.5535 (147*2π)/10287 weeks
148601.8181 130.81 (148*2π)/10287 weeks
149322.5934 510.1623 (149*2π)/10287 weeks
150-76.77423 467.5789 (150*2π)/10287 weeks
151-360.8535 236.4437 (151*2π)/10287 weeks
152-304.9615 -239.1962 (152*2π)/10287 weeks
15331.90988 -350.5515 (153*2π)/10287 weeks
154347.4841 -370.0687 (154*2π)/10287 weeks
155614.6731 31.94418 (155*2π)/10287 weeks
156456.611 313.9675 (156*2π)/10287 weeks
157254.0165 587.2577 (157*2π)/10287 weeks
158-224.5016 475.242 (158*2π)/10287 weeks
159-281.2339 192.0049 (159*2π)/10286 weeks
160-335.5883 -90.49787 (160*2π)/10286 weeks
1618.68212 -318.43 (161*2π)/10286 weeks
162243.5164 -200.8069 (162*2π)/10286 weeks
163454.1039 -7.80824 (163*2π)/10286 weeks
164358.4231 360.4945 (164*2π)/10286 weeks
16595.90559 461.584 (165*2π)/10286 weeks
166-229.7686 455.3274 (166*2π)/10286 weeks
167-445.7513 67.61214 (167*2π)/10286 weeks
168-269.7638 -257.9832 (168*2π)/10286 weeks
16966.4034 -419.1657 (169*2π)/10286 weeks
170424.5305 -192.169 (170*2π)/10286 weeks
171442.2576 135.8192 (171*2π)/10286 weeks
172252.5562 403.1787 (172*2π)/10286 weeks
173-59.08475 361.9987 (173*2π)/10286 weeks
174-176.3829 235.117 (174*2π)/10286 weeks
175-269.2432 14.72431 (175*2π)/10286 weeks
176-121.4764 -165.4191 (176*2π)/10286 weeks
1778.42264 -256.7074 (177*2π)/10286 weeks
178296.7275 -237.8664 (178*2π)/10286 weeks
179427.5525 5.53809 (179*2π)/10286 weeks
180427.5452 288.8099 (180*2π)/10286 weeks
181109.6606 539.1996 (181*2π)/10286 weeks
182-245.3129 389.6694 (182*2π)/10286 weeks
183-411.3551 98.11375 (183*2π)/10286 weeks
184-288.0814 -314.0399 (184*2π)/10286 weeks
185108.4529 -430.03 (185*2π)/10286 weeks
186460.744 -279.2512 (186*2π)/10286 weeks
187624.8157 132.6559 (187*2π)/10285 weeks
188424.1361 547.2194 (188*2π)/10285 weeks
189-75.86716 711.9519 (189*2π)/10285 weeks
190-534.1221 368.8359 (190*2π)/10285 weeks
191-563.3029 -177.2859 (191*2π)/10285 weeks
192-139.8011 -593.0682 (192*2π)/10285 weeks
193447.4343 -465.5053 (193*2π)/10285 weeks
194689.1989 18.96306 (194*2π)/10285 weeks
195476.5911 512.4384 (195*2π)/10285 weeks
19615.37115 597.8489 (196*2π)/10285 weeks
197-293.198 427.1779 (197*2π)/10285 weeks
198-452.2289 56.74609 (198*2π)/10285 weeks
199-234.1988 -274.4944 (199*2π)/10285 weeks
20073.76259 -348.9306 (200*2π)/10285 weeks
201401.8783 -190.4895 (201*2π)/10285 weeks
202434.2015 186.8251 (202*2π)/10285 weeks
203239.0341 402.1578 (203*2π)/10285 weeks
204-91.00681 474.9228 (204*2π)/10285 weeks
205-341.1953 188.4748 (205*2π)/10285 weeks
206-269.3937 -90.69302 (206*2π)/10285 weeks
207-66.27956 -269.8172 (207*2π)/10285 weeks
208219.0689 -207.7218 (208*2π)/10285 weeks
209347.7942 -7.36272 (209*2π)/10285 weeks
210321.445 275.2644 (210*2π)/10285 weeks
21135.54227 417.6127 (211*2π)/10285 weeks
212-215.5975 278.2565 (212*2π)/10285 weeks
213-265.3375 27.43169 (213*2π)/10285 weeks
214-142.0173 -146.1628 (214*2π)/10285 weeks
21570.52304 -214.9558 (215*2π)/10285 weeks
216255.9073 -31.55103 (216*2π)/10285 weeks
217186.9892 123.543 (217*2π)/10285 weeks
218135.3544 226.2666 (218*2π)/10285 weeks
219-68.8204 253.4776 (219*2π)/10285 weeks
220-146.1955 119.3449 (220*2π)/10285 weeks
221-177.0112 -13.43193 (221*2π)/10285 weeks
222-36.60828 -130.2918 (222*2π)/10285 weeks
22346.78754 -93.99591 (223*2π)/10285 weeks
224156.6629 -72.14419 (224*2π)/10285 weeks
225164.0945 95.49197 (225*2π)/10285 weeks
22664.88665 126.9442 (226*2π)/10285 weeks
227-20.09223 137.3292 (227*2π)/10285 weeks
228-83.2878 18.41417 (228*2π)/10285 weeks
229-19.79326 -45.14559 (229*2π)/10284 weeks
23045.82281 -95.38515 (230*2π)/10284 weeks
231153.8483 -13.64755 (231*2π)/10284 weeks
23294.23432 38.91961 (232*2π)/10284 weeks
233109.6068 49.1289 (233*2π)/10284 weeks
23474.31673 51.22088 (234*2π)/10284 weeks
235105.762 67.55617 (235*2π)/10284 weeks
23657.98214 69.37525 (236*2π)/10284 weeks
237118.0362 76.11132 (237*2π)/10284 weeks
23838.28579 148.9911 (238*2π)/10284 weeks
239-7.45083 80.32094 (239*2π)/10284 weeks
240-10.52621 18.44567 (240*2π)/10284 weeks
241103.0144 -26.30865 (241*2π)/10284 weeks
242158.3327 88.75046 (242*2π)/10284 weeks
243129.3375 169.7088 (243*2π)/10284 weeks
2447.28155 255.2998 (244*2π)/10284 weeks
245-116.9973 134.2333 (245*2π)/10284 weeks
246-72.59634 66.57554 (246*2π)/10284 weeks
247-81.16544 22.70834 (247*2π)/10284 weeks
248-20.54187 -16.70714 (248*2π)/10284 weeks
24916.30206 -17.74146 (249*2π)/10284 weeks
25080.171 19.77626 (250*2π)/10284 weeks
25167.25598 95.54502 (251*2π)/10284 weeks
2524.19197 156.2644 (252*2π)/10284 weeks
253-128.2829 124.2603 (253*2π)/10284 weeks
254-169.0099 -23.10646 (254*2π)/10284 weeks
255-68.6362 -148.4528 (255*2π)/10284 weeks
25679.20768 -119.2474 (256*2π)/10284 weeks
257125.3547 -44.91276 (257*2π)/10284 weeks
258142.6723 75.55898 (258*2π)/10284 weeks
259-1.02759 128.7518 (259*2π)/10284 weeks
260-59.41874 50.56181 (260*2π)/10284 weeks
261-99.25706 -30.88922 (261*2π)/10284 weeks
262-1.03739 -143.219 (262*2π)/10284 weeks
26383.5695 -117.1345 (263*2π)/10284 weeks
264205.7534 -90.78065 (264*2π)/10284 weeks
265205.6986 106.3362 (265*2π)/10284 weeks
26680.15711 136.265 (266*2π)/10284 weeks
267-21.14331 140.6299 (267*2π)/10284 weeks
268-91.38968 -30.96907 (268*2π)/10284 weeks
26958.05453 -99.6793 (269*2π)/10284 weeks
270148.5359 -65.98646 (270*2π)/10284 weeks
271215.8705 82.47846 (271*2π)/10284 weeks
27264.01495 159.9754 (272*2π)/10284 weeks
27319.44401 109.0218 (273*2π)/10284 weeks
274-44.05352 56.30561 (274*2π)/10284 weeks
27538.91456 -23.44291 (275*2π)/10284 weeks
27663.20496 38.76086 (276*2π)/10284 weeks
27762.23919 33.14698 (277*2π)/10284 weeks
27853.46757 60.94386 (278*2π)/10284 weeks
27956.91 51.36123 (279*2π)/10284 weeks
28027.45203 84.36536 (280*2π)/10284 weeks
28119.491 40.43413 (281*2π)/10284 weeks
28216.3813 61.35926 (282*2π)/10284 weeks
28315.39954 20.76241 (283*2π)/10284 weeks
28429.28238 55.59835 (284*2π)/10284 weeks
285-3.53805 21.01444 (285*2π)/10284 weeks
28624.41276 20.30349 (286*2π)/10284 weeks
28719.75562 -8.38117 (287*2π)/10284 weeks
28881.59447 13.1415 (288*2π)/10284 weeks
28952.63523 57.06678 (289*2π)/10284 weeks
29039.94862 63.43184 (290*2π)/10284 weeks
291-8.81753 56.12827 (291*2π)/10284 weeks
292.23224 11.13862 (292*2π)/10284 weeks
29312.14947 -14.20466 (293*2π)/10284 weeks
29480.0131 -9.63438 (294*2π)/10283 weeks
29566.91798 51.80819 (295*2π)/10283 weeks
29649.37124 57.88333 (296*2π)/10283 weeks
2979.35414 58.8716 (297*2π)/10283 weeks
29827.64521 37.24155 (298*2π)/10283 weeks
299-14.67144 48.37248 (299*2π)/10283 weeks
30016.39914 -5.69276 (300*2π)/10283 weeks
3017.27448 39.54385 (301*2π)/10283 weeks
302-7.77119 -25.29177 (302*2π)/10283 weeks
30335.50161 -21.66019 (303*2π)/10283 weeks
30470.03616 -38.73703 (304*2π)/10283 weeks
305102.3542 36.72045 (305*2π)/10283 weeks
30666.31158 44.95708 (306*2π)/10283 weeks
30752.54616 106.8718 (307*2π)/10283 weeks
308-62.31151 60.006 (308*2π)/10283 weeks
309-30.53792 -23.55901 (309*2π)/10283 weeks
310-7.98444 -73.07038 (310*2π)/10283 weeks
311108.3925 -90.45267 (311*2π)/10283 weeks
312163.12 -.6031 (312*2π)/10283 weeks
313166.6777 107.7263 (313*2π)/10283 weeks
31438.4413 195.9239 (314*2π)/10283 weeks
315-85.9968 140.0075 (315*2π)/10283 weeks
316-175.5269 18.93651 (316*2π)/10283 weeks
317-97.14973 -180.6132 (317*2π)/10283 weeks
318100.9286 -211.7695 (318*2π)/10283 weeks
319268.3672 -94.7738 (319*2π)/10283 weeks
320259.558 124.4344 (320*2π)/10283 weeks
321129.8947 228.0939 (321*2π)/10283 weeks
322-74.2496 263.8635 (322*2π)/10283 weeks
323-213.4906 30.50215 (323*2π)/10283 weeks
324-98.65045 -98.63155 (324*2π)/10283 weeks
325-18.95744 -195.4731 (325*2π)/10283 weeks
326202.1465 -163.2832 (326*2π)/10283 weeks
327255.8844 -4.93506 (327*2π)/10283 weeks
328259.9198 167.6168 (328*2π)/10283 weeks
32956.00059 289.9397 (329*2π)/10283 weeks
330-108.7074 226.5823 (330*2π)/10283 weeks
331-254.4743 59.72486 (331*2π)/10283 weeks
332-144.9058 -187.4311 (332*2π)/10283 weeks
33349.61868 -227.2883 (333*2π)/10283 weeks
334266.1593 -144.872 (334*2π)/10283 weeks
335282.514 131.7784 (335*2π)/10283 weeks
336116.5346 249.6724 (336*2π)/10283 weeks
337-99.38201 264.8418 (337*2π)/10283 weeks
338-237.8474 42.90886 (338*2π)/10283 weeks
339-157.3789 -136.3309 (339*2π)/10283 weeks
34022.40689 -245.3864 (340*2π)/10283 weeks
341216.8189 -122.6493 (341*2π)/10283 weeks
342232.6462 48.26702 (342*2π)/10283 weeks
343105.927 202.9413 (343*2π)/10283 weeks
344-83.69216 117.8326 (344*2π)/10283 weeks
345-73.52154 2.01153 (345*2π)/10283 weeks
346-51.46392 -96.3157 (346*2π)/10283 weeks
347107.2628 -111.2748 (347*2π)/10283 weeks
348129.8422 1.31142 (348*2π)/10283 weeks
349105.0034 49.29261 (349*2π)/10283 weeks
35035.01208 62.87402 (350*2π)/10283 weeks
35135.46227 15.7753 (351*2π)/10283 weeks
35223.65055 17.34221 (352*2π)/10283 weeks
35366.53603 -31.76216 (353*2π)/10283 weeks
354100.8481 49.90119 (354*2π)/10283 weeks
35542.23112 58.36808 (355*2π)/10283 weeks
35622.48014 62.66684 (356*2π)/10283 weeks
357-23.11888 15.1095 (357*2π)/10283 weeks
35812.91636 -45.64489 (358*2π)/10283 weeks
35997.22463 -54.20048 (359*2π)/10283 weeks
360138.615 40.02554 (360*2π)/10283 weeks
36192.28099 100.2017 (361*2π)/10283 weeks
36213.26349 142.6429 (362*2π)/10283 weeks
363-94.00448 65.61039 (363*2π)/10283 weeks
364-77.0556 -44.72474 (364*2π)/10283 weeks
3652.29993 -132.0996 (365*2π)/10283 weeks
366150.0314 -90.24082 (366*2π)/10283 weeks
367175.2205 21.49405 (367*2π)/10283 weeks
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