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Fourier Analysis of APRI (Apricus Biosciences, Inc)


APRI (Apricus Biosciences, Inc) appears to have interesting cyclic behaviour every 85 weeks (81.0498*sine), 93 weeks (79.249*sine), and 93 weeks (51.5122*cosine).

APRI (Apricus Biosciences, Inc) has an average price of 266.43 (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 4/19/1999 to 2/13/2017 for APRI (Apricus Biosciences, Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0266.4339   0 
1212.8256 272.3845 (1*2π)/930930 weeks
286.50282 219.2103 (2*2π)/930465 weeks
35.03937 206.1155 (3*2π)/930310 weeks
4-24.9658 181.5526 (4*2π)/930233 weeks
5-139.5971 160.5451 (5*2π)/930186 weeks
6-138.7874 35.43809 (6*2π)/930155 weeks
7-114.4179 -6.14995 (7*2π)/930133 weeks
8-58.42091 -33.80244 (8*2π)/930116 weeks
9-75.14661 -15.141 (9*2π)/930103 weeks
10-51.51219 -79.24898 (10*2π)/93093 weeks
1115.12756 -81.04977 (11*2π)/93085 weeks
1248.52776 -24.59249 (12*2π)/93078 weeks
1327.66708 3.1769 (13*2π)/93072 weeks
145.50505 6.81862 (14*2π)/93066 weeks
156.93087 -6.13333 (15*2π)/93062 weeks
1611.80144 5.4619 (16*2π)/93058 weeks
17-.87356 4.76182 (17*2π)/93055 weeks
18-3.06932 5.54475 (18*2π)/93052 weeks
19-5.83085 -16.61959 (19*2π)/93049 weeks
207.3198 -7.53585 (20*2π)/93047 weeks
2110.28827 -19.69512 (21*2π)/93044 weeks
2224.40428 -13.26271 (22*2π)/93042 weeks
2337.54142 1.81551 (23*2π)/93040 weeks
2432.6144 17.44072 (24*2π)/93039 weeks
2530.132 33.7944 (25*2π)/93037 weeks
266.4303 48.17021 (26*2π)/93036 weeks
27-13.53199 44.28665 (27*2π)/93034 weeks
28-29.18071 31.45031 (28*2π)/93033 weeks
29-35.93508 16.48494 (29*2π)/93032 weeks
30-40.85158 2.39698 (30*2π)/93031 weeks
31-34.27684 -12.4057 (31*2π)/93030 weeks
32-31.064 -27.43449 (32*2π)/93029 weeks
33-12.08601 -37.27455 (33*2π)/93028 weeks
343.58339 -36.64676 (34*2π)/93027 weeks
3515.09263 -28.5473 (35*2π)/93027 weeks
3625.52878 -30.44454 (36*2π)/93026 weeks
3737.66339 -6.69325 (37*2π)/93025 weeks
3830.44596 -.47132 (38*2π)/93024 weeks
3929.82758 14.00646 (39*2π)/93024 weeks
4018.59706 14.81559 (40*2π)/93023 weeks
4119.0232 20.20372 (41*2π)/93023 weeks
4212.48298 26.05452 (42*2π)/93022 weeks
43-1.89747 31.62483 (43*2π)/93022 weeks
44-13.18454 22.85491 (44*2π)/93021 weeks
45-22.40699 10.95333 (45*2π)/93021 weeks
46-11.25969 -6.70925 (46*2π)/93020 weeks
47-1.54866 -2.86528 (47*2π)/93020 weeks
485.22653 3.42304 (48*2π)/93019 weeks
49-3.93414 9.34085 (49*2π)/93019 weeks
50-1.37601 4.14439 (50*2π)/93019 weeks
51-4.40073 10.72458 (51*2π)/93018 weeks
52-9.0801 11.15057 (52*2π)/93018 weeks
53-20.81212 6.52444 (53*2π)/93018 weeks
54-21.87804 -10.45006 (54*2π)/93017 weeks
55-10.98905 -18.42944 (55*2π)/93017 weeks
56-1.74168 -18.71429 (56*2π)/93017 weeks
571.56385 -16.63023 (57*2π)/93016 weeks
588.3565 -19.76875 (58*2π)/93016 weeks
5919.143 -17.28627 (59*2π)/93016 weeks
6027.42074 -1.18601 (60*2π)/93016 weeks
6120.21532 8.15483 (61*2π)/93015 weeks
6214.5038 14.79189 (62*2π)/93015 weeks
638.38887 13.14337 (63*2π)/93015 weeks
643.86092 16.77766 (64*2π)/93015 weeks
65-2.79568 14.2466 (65*2π)/93014 weeks
66-7.36884 8.70159 (66*2π)/93014 weeks
67-3.73724 .5491 (67*2π)/93014 weeks
681.48752 5.59495 (68*2π)/93014 weeks
69-2.31084 8.49626 (69*2π)/93013 weeks
70-6.6093 4.52418 (70*2π)/93013 weeks
71-1.5652 2.51806 (71*2π)/93013 weeks
72-4.86781 6.2843 (72*2π)/93013 weeks
73-7.13282 5.30342 (73*2π)/93013 weeks
74-12.9493 -.23806 (74*2π)/93013 weeks
75-8.00751 -7.44338 (75*2π)/93012 weeks
76-5.15633 -8.53096 (76*2π)/93012 weeks
77-.48181 -9.77846 (77*2π)/93012 weeks
782.64676 -11.25453 (78*2π)/93012 weeks
799.58774 -6.88813 (79*2π)/93012 weeks
808.51987 -3.19314 (80*2π)/93012 weeks
819.14698 -.39 (81*2π)/93011 weeks
828.34325 -.04889 (82*2π)/93011 weeks
839.19194 4.3933 (83*2π)/93011 weeks
847.45668 3.65525 (84*2π)/93011 weeks
857.57524 7.07043 (85*2π)/93011 weeks
867.87941 8.17157 (86*2π)/93011 weeks
872.79915 14.35262 (87*2π)/93011 weeks
88-3.10193 10.23561 (88*2π)/93011 weeks
89-3.46668 8.37097 (89*2π)/93010 weeks
90-3.47344 6.81888 (90*2π)/93010 weeks
91-6.14077 7.65684 (91*2π)/93010 weeks
92-6.73817 4.12643 (92*2π)/93010 weeks
93-7.86641 2.47479 (93*2π)/93010 weeks
94-6.28175 1.19112 (94*2π)/93010 weeks
95-8.65735 .9157 (95*2π)/93010 weeks
96-9.26217 -4.49095 (96*2π)/93010 weeks
97-5.75408 -8.32895 (97*2π)/93010 weeks
98-.38363 -8.32604 (98*2π)/9309 weeks
99.77799 -8.20452 (99*2π)/9309 weeks
1004.87587 -6.29128 (100*2π)/9309 weeks
1015.72653 -5.6804 (101*2π)/9309 weeks
1028.90437 -3.58361 (102*2π)/9309 weeks
10310.4402 .63579 (103*2π)/9309 weeks
1048.36415 6.79583 (104*2π)/9309 weeks
1053.24527 6.66642 (105*2π)/9309 weeks
1062.62271 6.08641 (106*2π)/9309 weeks
1072.93915 5.95699 (107*2π)/9309 weeks
108.50753 10.34459 (108*2π)/9309 weeks
109-5.63573 7.2831 (109*2π)/9309 weeks
110-6.22336 3.458 (110*2π)/9308 weeks
111-2.94214 .70301 (111*2π)/9308 weeks
112-4.14427 3.16899 (112*2π)/9308 weeks
113-5.65611 1.83375 (113*2π)/9308 weeks
114-6.62925 -1.04078 (114*2π)/9308 weeks
115-4.83519 -4.25089 (115*2π)/9308 weeks
116-2.99645 -4.74333 (116*2π)/9308 weeks
117-.34017 -5.35107 (117*2π)/9308 weeks
118-.21727 -4.98434 (118*2π)/9308 weeks
1193.63788 -5.09839 (119*2π)/9308 weeks
1203.37213 -3.65762 (120*2π)/9308 weeks
1216.18884 -2.94937 (121*2π)/9308 weeks
1226.60927 .40192 (122*2π)/9308 weeks
1236.01403 3.48487 (123*2π)/9308 weeks
1243.16918 3.48998 (124*2π)/9308 weeks
1253.33346 4.54731 (125*2π)/9307 weeks
1261.17524 5.58135 (126*2π)/9307 weeks
127-1.56654 4.76604 (127*2π)/9307 weeks
128-1.24365 2.82861 (128*2π)/9307 weeks
129-2.14819 3.2615 (129*2π)/9307 weeks
130-2.37999 2.11345 (130*2π)/9307 weeks
131-3.12921 1.34261 (131*2π)/9307 weeks
132-3.30461 -.21042 (132*2π)/9307 weeks
133-2.7605 -1.56881 (133*2π)/9307 weeks
134-.87862 -3.08419 (134*2π)/9307 weeks
135.08393 -2.10982 (135*2π)/9307 weeks
136.87482 -2.41839 (136*2π)/9307 weeks
1372.3965 -2.47803 (137*2π)/9307 weeks
1383.56558 -.31591 (138*2π)/9307 weeks
1392.39247 .32766 (139*2π)/9307 weeks
1403.05458 2.73542 (140*2π)/9307 weeks
141.62147 1.77223 (141*2π)/9307 weeks
1421.22052 2.50469 (142*2π)/9307 weeks
143-.82335 3.06131 (143*2π)/9307 weeks
144-2.38322 1.81677 (144*2π)/9306 weeks
145-3.32424 -2.22817 (145*2π)/9306 weeks
146.73006 -2.48009 (146*2π)/9306 weeks
1471.79339 -3.3648 (147*2π)/9306 weeks
1483.55665 .32827 (148*2π)/9306 weeks
1491.95089 -.96333 (149*2π)/9306 weeks
1504.1358 -.73388 (150*2π)/9306 weeks
1517.20218 2.08487 (151*2π)/9306 weeks
1523.62502 7.48305 (152*2π)/9306 weeks
153-.56127 6.34657 (153*2π)/9306 weeks
154-2.17561 4.13853 (154*2π)/9306 weeks
155-1.87071 3.71561 (155*2π)/9306 weeks
156-4.93622 2.82142 (156*2π)/9306 weeks
157-3.81554 -1.63172 (157*2π)/9306 weeks
158-.9371 -2.71205 (158*2π)/9306 weeks
1592.40798 -.68658 (159*2π)/9306 weeks
160.23299 1.85518 (160*2π)/9306 weeks
161-.03904 1.05238 (161*2π)/9306 weeks
162-.5339 .23894 (162*2π)/9306 weeks
1631.336 2.56086 (163*2π)/9306 weeks
164-2.95858 2.43552 (164*2π)/9306 weeks
165-2.14616 .7285 (165*2π)/9306 weeks
166-3.07493 -.69336 (166*2π)/9306 weeks
167-2.02806 -.70597 (167*2π)/9306 weeks
168-2.83133 -2.74107 (168*2π)/9306 weeks
169-.98314 -3.77383 (169*2π)/9306 weeks
170.4368 -5.92294 (170*2π)/9305 weeks
1714.19367 -5.19898 (171*2π)/9305 weeks
1727.55668 -4.07342 (172*2π)/9305 weeks
1739.85073 1.74173 (173*2π)/9305 weeks
1747.53016 6.17507 (174*2π)/9305 weeks
1753.30827 8.88761 (175*2π)/9305 weeks
176.70312 7.75184 (176*2π)/9305 weeks
177-2.59889 8.13858 (177*2π)/9305 weeks
178-4.72826 6.60875 (178*2π)/9305 weeks
179-7.69459 5.27906 (179*2π)/9305 weeks
180-9.43949 1.21802 (180*2π)/9305 weeks
181-9.2633 -3.8446 (181*2π)/9305 weeks
182-5.00845 -7.00349 (182*2π)/9305 weeks
183-2.36723 -7.1039 (183*2π)/9305 weeks
184.64814 -7.92774 (184*2π)/9305 weeks
1853.39051 -6.59821 (185*2π)/9305 weeks
1866.06579 -4.28013 (186*2π)/9305 weeks
1875.17881 -2.25657 (187*2π)/9305 weeks
1886.89413 -.76622 (188*2π)/9305 weeks
1896.56201 .65342 (189*2π)/9305 weeks
1907.18505 3.93001 (190*2π)/9305 weeks
1914.95839 6.47015 (191*2π)/9305 weeks
1921.879 7.58562 (192*2π)/9305 weeks
193-.13781 7.452 (193*2π)/9305 weeks
194-2.97046 7.17979 (194*2π)/9305 weeks
195-5.66086 4.84266 (195*2π)/9305 weeks
196-6.84971 2.16625 (196*2π)/9305 weeks
197-5.06336 -1.20597 (197*2π)/9305 weeks
198-4.40378 -1.13376 (198*2π)/9305 weeks
199-2.41297 -2.93508 (199*2π)/9305 weeks
200-3.28084 -1.53544 (200*2π)/9305 weeks
201-1.56232 -4.31048 (201*2π)/9305 weeks
202-.22836 -2.9662 (202*2π)/9305 weeks
203.99834 -2.53645 (203*2π)/9305 weeks
204-.74223 -1.51214 (204*2π)/9305 weeks
205-.26412 -4.08354 (205*2π)/9305 weeks
2062.34698 -4.36505 (206*2π)/9305 weeks
2074.28112 -3.32967 (207*2π)/9304 weeks
2085.9899 -1.30036 (208*2π)/9304 weeks
2095.71198 1.1821 (209*2π)/9304 weeks
2105.38852 3.68859 (210*2π)/9304 weeks
2112.7461 6.29569 (211*2π)/9304 weeks
212-1.00771 4.938 (212*2π)/9304 weeks
213-1.13994 4.95605 (213*2π)/9304 weeks
214-4.39411 3.85836 (214*2π)/9304 weeks
215-5.59095 .95581 (215*2π)/9304 weeks
216-4.43389 -2.63765 (216*2π)/9304 weeks
217-1.49022 -3.12918 (217*2π)/9304 weeks
218-.70446 -2.10189 (218*2π)/9304 weeks
219-.86666 -2.74918 (219*2π)/9304 weeks
220.65131 -2.86566 (220*2π)/9304 weeks
2211.08579 -2.16557 (221*2π)/9304 weeks
2221.1726 -1.61672 (222*2π)/9304 weeks
223.72126 -2.49126 (223*2π)/9304 weeks
2243.34809 -2.98429 (224*2π)/9304 weeks
2253.79988 -.79633 (225*2π)/9304 weeks
2264.81356 .3982 (226*2π)/9304 weeks
2273.24001 1.66355 (227*2π)/9304 weeks
2282.94637 3.1441 (228*2π)/9304 weeks
2291.20312 2.75118 (229*2π)/9304 weeks
230.14895 3.76121 (230*2π)/9304 weeks
231-1.56517 1.54866 (231*2π)/9304 weeks
232-.28125 .57662 (232*2π)/9304 weeks
233.36984 1.05633 (233*2π)/9304 weeks
234-.41028 2.37878 (234*2π)/9304 weeks
235-2.32113 1.52374 (235*2π)/9304 weeks
236-2.40139 -.13523 (236*2π)/9304 weeks
237-2.13167 -1.83982 (237*2π)/9304 weeks
238-.84719 -2.00545 (238*2π)/9304 weeks
239-.19242 -2.72436 (239*2π)/9304 weeks
2401.02441 -3.00208 (240*2π)/9304 weeks
2413.0641 -2.24426 (241*2π)/9304 weeks
2422.87683 -.36036 (242*2π)/9304 weeks
2433.25 .11628 (243*2π)/9304 weeks
2441.56152 .58295 (244*2π)/9304 weeks
2453.08194 .01044 (245*2π)/9304 weeks
2462.51207 1.19535 (246*2π)/9304 weeks
2473.4964 1.83378 (247*2π)/9304 weeks
2481.75346 3.54834 (248*2π)/9304 weeks
2491.00996 2.87683 (249*2π)/9304 weeks
250.70651 2.78181 (250*2π)/9304 weeks
2511.13616 3.80588 (251*2π)/9304 weeks
252-.9004 4.93306 (252*2π)/9304 weeks
253-3.67543 4.46465 (253*2π)/9304 weeks
254-4.61922 1.69854 (254*2π)/9304 weeks
255-4.88154 .42246 (255*2π)/9304 weeks
256-3.95609 -2.0563 (256*2π)/9304 weeks
257-2.94808 -2.18595 (257*2π)/9304 weeks
258-2.39066 -3.87337 (258*2π)/9304 weeks
259-.24453 -3.68138 (259*2π)/9304 weeks
260.80687 -3.85422 (260*2π)/9304 weeks
2611.43787 -2.72443 (261*2π)/9304 weeks
2621.94745 -3.79462 (262*2π)/9304 weeks
2634.28759 -2.58914 (263*2π)/9304 weeks
2646.25462 -.35884 (264*2π)/9304 weeks
2653.83481 3.88681 (265*2π)/9304 weeks
2661.33746 2.94121 (266*2π)/9303 weeks
267.45375 2.05762 (267*2π)/9303 weeks
2681.51396 2.15775 (268*2π)/9303 weeks
269-.49844 3.16036 (269*2π)/9303 weeks
270-1.2714 1.89228 (270*2π)/9303 weeks
271-1.51532 .3193 (271*2π)/9303 weeks
272.32741 .58962 (272*2π)/9303 weeks
273-1.09499 1.98255 (273*2π)/9303 weeks
274-1.71583 .692 (274*2π)/9303 weeks
275-1.64285 -.08436 (275*2π)/9303 weeks
276-1.77896 .6895 (276*2π)/9303 weeks
277-3.17645 -.41364 (277*2π)/9303 weeks
278-3.50942 -2.82559 (278*2π)/9303 weeks
279-1.82384 -4.65636 (279*2π)/9303 weeks
280.48721 -5.30838 (280*2π)/9303 weeks
2812.42935 -4.89223 (281*2π)/9303 weeks
2823.97117 -4.13068 (282*2π)/9303 weeks
2836.23014 -2.9309 (283*2π)/9303 weeks
2846.81784 .13282 (284*2π)/9303 weeks
2856.80047 3.04071 (285*2π)/9303 weeks
2863.30693 5.31932 (286*2π)/9303 weeks
2872.24106 4.12948 (287*2π)/9303 weeks
288.30621 5.26774 (288*2π)/9303 weeks
289-.56676 3.92608 (289*2π)/9303 weeks
290-2.72488 3.77723 (290*2π)/9303 weeks
291-2.74835 .51877 (291*2π)/9303 weeks
292-1.30751 .4931 (292*2π)/9303 weeks
293-.89069 .75298 (293*2π)/9303 weeks
294-1.71813 .70261 (294*2π)/9303 weeks
295-1.82144 .32277 (295*2π)/9303 weeks
296-1.88697 -.92667 (296*2π)/9303 weeks
297-1.09918 -.65782 (297*2π)/9303 weeks
298-1.35833 -1.79362 (298*2π)/9303 weeks
299.14531 -1.47218 (299*2π)/9303 weeks
300-.08742 -1.08788 (300*2π)/9303 weeks
301-.20804 -.63394 (301*2π)/9303 weeks
302-1.62888 -2.22177 (302*2π)/9303 weeks
3031.32245 -4.05299 (303*2π)/9303 weeks
3043.39615 -2.74546 (304*2π)/9303 weeks
3054.03322 -.34827 (305*2π)/9303 weeks
3063.03546 .14497 (306*2π)/9303 weeks
3073.59619 .91357 (307*2π)/9303 weeks
3083.66823 2.81086 (308*2π)/9303 weeks
3091.00695 4.54956 (309*2π)/9303 weeks
310-1.13016 3.37252 (310*2π)/9303 weeks
311-2.47152 1.47653 (311*2π)/9303 weeks
312-.97387 .18162 (312*2π)/9303 weeks
313-1.786 .63819 (313*2π)/9303 weeks
314-1.38227 -1.77222 (314*2π)/9303 weeks
315.95968 -1.88269 (315*2π)/9303 weeks
3162.31198 .11902 (316*2π)/9303 weeks
317.89261 1.88236 (317*2π)/9303 weeks
318-.56798 1.73411 (318*2π)/9303 weeks
319-1.57683 .99977 (319*2π)/9303 weeks
320-2.18215 .44124 (320*2π)/9303 weeks
321-2.60984 -1.95007 (321*2π)/9303 weeks
322-1.1421 -2.96506 (322*2π)/9303 weeks
323.70532 -3.90548 (323*2π)/9303 weeks
3242.69477 -2.49011 (324*2π)/9303 weeks
3253.06691 -1.65667 (325*2π)/9303 weeks
3263.01844 .22857 (326*2π)/9303 weeks
3272.06624 -.43664 (327*2π)/9303 weeks
3282.7844 -.29639 (328*2π)/9303 weeks
3293.96827 .2656 (329*2π)/9303 weeks
3303.30314 3.20517 (330*2π)/9303 weeks
3311.577 2.75722 (331*2π)/9303 weeks
3321.47808 2.56781 (332*2π)/9303 weeks
3331.06355 3.2786 (333*2π)/9303 weeks
334-.09078 4.01934 (334*2π)/9303 weeks
335-1.41844 3.25069 (335*2π)/9303 weeks
336-1.99756 2.63738 (336*2π)/9303 weeks
337-2.90249 1.85176 (337*2π)/9303 weeks
338-2.76751 1.10754 (338*2π)/9303 weeks
339-3.35167 -.15483 (339*2π)/9303 weeks
340-2.53096 -.96855 (340*2π)/9303 weeks
341-2.24828 -1.67614 (341*2π)/9303 weeks
342-.75139 -2.07445 (342*2π)/9303 weeks
343-.90938 -1.09725 (343*2π)/9303 weeks
344-1.56748 -1.41779 (344*2π)/9303 weeks
345-1.24142 -3.34333 (345*2π)/9303 weeks
346.61088 -3.96516 (346*2π)/9303 weeks
3471.88236 -2.92817 (347*2π)/9303 weeks
3482.90506 -2.50932 (348*2π)/9303 weeks
3493.73977 -1.73622 (349*2π)/9303 weeks
3504.8172 .68848 (350*2π)/9303 weeks
3512.78123 2.24313 (351*2π)/9303 weeks
3521.90562 2.69397 (352*2π)/9303 weeks
353.07937 1.96324 (353*2π)/9303 weeks
354.93179 2.28765 (354*2π)/9303 weeks
355-1.00948 2.2371 (355*2π)/9303 weeks
356-1.63766 1.43623 (356*2π)/9303 weeks
357-1.95938 -.52981 (357*2π)/9303 weeks
358.13949 -.53749 (358*2π)/9303 weeks
359-.70769 .27699 (359*2π)/9303 weeks
360-.4423 -.4839 (360*2π)/9303 weeks
361-.14542 .01459 (361*2π)/9303 weeks
362-.63235 -.07004 (362*2π)/9303 weeks
363-.8954 -.23589 (363*2π)/9303 weeks
364-1.21047 -.87188 (364*2π)/9303 weeks
365-.91615 -1.80729 (365*2π)/9303 weeks
366-.70226 -2.21623 (366*2π)/9303 weeks
367.38707 -3.38073 (367*2π)/9303 weeks
3681.91366 -3.21768 (368*2π)/9303 weeks
3693.86644 -2.15419 (369*2π)/9303 weeks
3702.95241 -.05936 (370*2π)/9303 weeks
3713.0123 -.55163 (371*2π)/9303 weeks
3723.39132 .26612 (372*2π)/9303 weeks
3733.60606 1.82491 (373*2π)/9302 weeks
3741.95225 2.46132 (374*2π)/9302 weeks
3751.32946 2.91861 (375*2π)/9302 weeks
376.27733 2.19993 (376*2π)/9302 weeks
377.41438 2.67637 (377*2π)/9302 weeks
378-1.02844 2.03373 (378*2π)/9302 weeks
379-.97135 2.19484 (379*2π)/9302 weeks
380-2.08784 .87335 (380*2π)/9302 weeks
381-1.46344 .86069 (381*2π)/9302 weeks
382-2.43576 .22457 (382*2π)/9302 weeks
383-2.6574 -.49961 (383*2π)/9302 weeks
384-2.46988 -2.84616 (384*2π)/9302 weeks
385-.19037 -3.24651 (385*2π)/9302 weeks
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