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# Fourier Analysis of APRI (Apricus Biosciences)

APRI (Apricus Biosciences) appears to have interesting cyclic behaviour every 96 weeks (112.5827*sine), 87 weeks (95.063*sine), and 80 weeks (64.962*cosine).

APRI (Apricus Biosciences) has an average price of 244.52 (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.

## Fourier Analysis

Using data from 1/3/2000 to 5/14/2018 for APRI (Apricus Biosciences), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0244.5168   0
1242.6522 209.8756 (1*2π)/959959 weeks
2148.6471 154.323 (2*2π)/959480 weeks
3117.7545 152.8098 (3*2π)/959320 weeks
4105.9613 125.3094 (4*2π)/959240 weeks
595.76625 183.8739 (5*2π)/959192 weeks
67.44977 161.5311 (6*2π)/959160 weeks
7-.47475 127.1752 (7*2π)/959137 weeks
8-25.30854 95.47143 (8*2π)/959120 weeks
913.31432 72.74966 (9*2π)/959107 weeks
10-5.68753 112.5827 (10*2π)/95996 weeks
11-45.74712 95.06304 (11*2π)/95987 weeks
12-64.96195 50.82572 (12*2π)/95980 weeks
13-39.49841 20.15682 (13*2π)/95974 weeks
14-20.73122 11.56752 (14*2π)/95969 weeks
15-5.66676 19.69546 (15*2π)/95964 weeks
16-12.97857 24.9415 (16*2π)/95960 weeks
17-12.79897 12.41406 (17*2π)/95956 weeks
18-4.6522 12.05896 (18*2π)/95953 weeks
19.60798 -.14255 (19*2π)/95950 weeks
2014.4907 13.95168 (20*2π)/95948 weeks
218.26159 7.86199 (21*2π)/95946 weeks
2222.91595 13.18957 (22*2π)/95944 weeks
2327.20865 18.92156 (23*2π)/95942 weeks
2425.91534 31.60366 (24*2π)/95940 weeks
2524.04599 34.22998 (25*2π)/95938 weeks
2623.8389 46.22321 (26*2π)/95937 weeks
2710.12795 51.85249 (27*2π)/95936 weeks
282.7286 52.46527 (28*2π)/95934 weeks
29-4.36577 49.55898 (29*2π)/95933 weeks
30-8.48942 46.65671 (30*2π)/95932 weeks
31-14.3449 47.52875 (31*2π)/95931 weeks
32-16.80029 42.45865 (32*2π)/95930 weeks
33-24.32953 43.91874 (33*2π)/95929 weeks
34-29.69551 34.57963 (34*2π)/95928 weeks
35-30.39817 28.62025 (35*2π)/95927 weeks
36-28.2774 22.65848 (36*2π)/95927 weeks
37-32.9055 26.20918 (37*2π)/95926 weeks
38-35.39058 9.63926 (38*2π)/95925 weeks
39-25.47244 11.12903 (39*2π)/95925 weeks
40-28.7524 6.23006 (40*2π)/95924 weeks
41-19.98188 4.86888 (41*2π)/95923 weeks
42-23.76858 8.24743 (42*2π)/95923 weeks
43-25.09501 4.2127 (43*2π)/95922 weeks
44-27.50168 -2.83867 (44*2π)/95922 weeks
45-19.80475 -9.39763 (45*2π)/95921 weeks
46-14.73828 -13.20811 (46*2π)/95921 weeks
47.11217 -13.51436 (47*2π)/95920 weeks
483.15981 -.88974 (48*2π)/95920 weeks
493.60146 3.81718 (49*2π)/95920 weeks
50-2.67627 10.3484 (50*2π)/95919 weeks
51-3.86016 4.0904 (51*2π)/95919 weeks
521.25341 10.11867 (52*2π)/95918 weeks
53-3.10427 13.69688 (53*2π)/95918 weeks
54-6.87177 19.3699 (54*2π)/95918 weeks
55-17.19376 18.36227 (55*2π)/95917 weeks
56-20.57043 9.69379 (56*2π)/95917 weeks
57-18.4241 5.52234 (57*2π)/95917 weeks
58-16.44897 4.39279 (58*2π)/95917 weeks
59-18.59049 6.65088 (59*2π)/95916 weeks
60-23.25704 2.43961 (60*2π)/95916 weeks
61-25.67136 -4.78431 (61*2π)/95916 weeks
62-17.37012 -12.83863 (62*2π)/95915 weeks
63-12.76679 -10.81987 (63*2π)/95915 weeks
64-8.58112 -11.96379 (64*2π)/95915 weeks
65-8.22106 -8.63364 (65*2π)/95915 weeks
66-5.68361 -11.60666 (66*2π)/95915 weeks
67-1.8165 -9.9875 (67*2π)/95914 weeks
681.9676 -7.19359 (68*2π)/95914 weeks
692.6758 .01639 (69*2π)/95914 weeks
70-4.3404 1.06189 (70*2π)/95914 weeks
71-5.50392 -1.94713 (71*2π)/95914 weeks
72-2.71322 -3.7772 (72*2π)/95913 weeks
73-.89006 1.50595 (73*2π)/95913 weeks
74-6.9463 2.25105 (74*2π)/95913 weeks
75-8.03052 .79878 (75*2π)/95913 weeks
76-11.54334 -3.34657 (76*2π)/95913 weeks
77-7.44067 -7.25322 (77*2π)/95912 weeks
78-6.47252 -5.70604 (78*2π)/95912 weeks
79-5.58208 -7.34977 (79*2π)/95912 weeks
80-5.70235 -7.56783 (80*2π)/95912 weeks
81-1.96811 -9.90214 (81*2π)/95912 weeks
82-.59544 -6.06788 (82*2π)/95912 weeks
83-1.12848 -6.28012 (83*2π)/95912 weeks
84-1.22778 -4.93111 (84*2π)/95911 weeks
85-1.49019 -7.07755 (85*2π)/95911 weeks
86-.26477 -4.49669 (86*2π)/95911 weeks
87-2.02341 -6.35872 (87*2π)/95911 weeks
88-1.00564 -5.94358 (88*2π)/95911 weeks
89-.85833 -9.35214 (89*2π)/95911 weeks
904.27792 -7.34027 (90*2π)/95911 weeks
912.47975 -3.88139 (91*2π)/95911 weeks
921.56707 -4.15316 (92*2π)/95910 weeks
93-.02977 -4.72896 (93*2π)/95910 weeks
942.09479 -6.2149 (94*2π)/95910 weeks
951.5931 -4.76695 (95*2π)/95910 weeks
962.4151 -4.98504 (96*2π)/95910 weeks
97.68845 -4.59825 (97*2π)/95910 weeks
98.81519 -7.55144 (98*2π)/95910 weeks
993.91474 -7.96434 (99*2π)/95910 weeks
1005.49515 -6.76722 (100*2π)/95910 weeks
1015.42189 -4.41147 (101*2π)/9599 weeks
1024.7356 -6.03852 (102*2π)/9599 weeks
1035.90282 -4.63237 (103*2π)/9599 weeks
1045.73911 -6.15465 (104*2π)/9599 weeks
1058.01468 -5.88263 (105*2π)/9599 weeks
1069.55497 -4.23442 (106*2π)/9599 weeks
10710.36105 -.79527 (107*2π)/9599 weeks
1087.2357 .41168 (108*2π)/9599 weeks
1097.04185 -1.18579 (109*2π)/9599 weeks
1107.22488 -1.75619 (110*2π)/9599 weeks
11110.41916 -1.05527 (111*2π)/9599 weeks
1129.36626 3.85132 (112*2π)/9599 weeks
1136.08629 3.73449 (113*2π)/9598 weeks
1143.46161 2.79362 (114*2π)/9598 weeks
1155.22839 -.91458 (115*2π)/9598 weeks
1166.68747 .38016 (116*2π)/9598 weeks
1177.64637 1.38652 (117*2π)/9598 weeks
1187.40628 2.87414 (118*2π)/9598 weeks
1196.07537 2.97323 (119*2π)/9598 weeks
1206.38991 3.32756 (120*2π)/9598 weeks
1215.58595 2.9028 (121*2π)/9598 weeks
1227.26387 4.02923 (122*2π)/9598 weeks
1235.03838 4.50762 (123*2π)/9598 weeks
1246.43745 4.6728 (124*2π)/9598 weeks
1255.14399 6.5656 (125*2π)/9598 weeks
1263.91537 6.28082 (126*2π)/9598 weeks
1272.10266 6.00846 (127*2π)/9598 weeks
1283.1418 4.67649 (128*2π)/9597 weeks
1292.73171 6.05059 (129*2π)/9597 weeks
1301.57755 5.90689 (130*2π)/9597 weeks
131.60455 4.72383 (131*2π)/9597 weeks
1321.90163 4.20393 (132*2π)/9597 weeks
1331.2124 5.29889 (133*2π)/9597 weeks
1341.11 4.92568 (134*2π)/9597 weeks
135.44732 5.21849 (135*2π)/9597 weeks
136-.34069 4.88436 (136*2π)/9597 weeks
137-.80186 4.42916 (137*2π)/9597 weeks
138-1.54478 3.33563 (138*2π)/9597 weeks
139-.45418 3.06669 (139*2π)/9597 weeks
140-.99478 3.30739 (140*2π)/9597 weeks
141-1.70545 3.05205 (141*2π)/9597 weeks
142-1.68247 1.64631 (142*2π)/9597 weeks
143-.70882 1.77295 (143*2π)/9597 weeks
144-2.29284 .81385 (144*2π)/9597 weeks
145-.27061 .67285 (145*2π)/9597 weeks
146-1.87067 .74816 (146*2π)/9597 weeks
147-1.52688 -1.30888 (147*2π)/9597 weeks
148-.01687 -2.16604 (148*2π)/9596 weeks
1492.12613 -3.00084 (149*2π)/9596 weeks
1503.31598 -.10157 (150*2π)/9596 weeks
1512.6382 -1.10071 (151*2π)/9596 weeks
1523.33642 .97012 (152*2π)/9596 weeks
1532.34065 -1.24091 (153*2π)/9596 weeks
1545.69891 -.69861 (154*2π)/9596 weeks
1557.16176 1.3653 (155*2π)/9596 weeks
1566.26625 5.93465 (156*2π)/9596 weeks
1572.23636 5.95975 (157*2π)/9596 weeks
1581.51737 4.79532 (158*2π)/9596 weeks
1591.65729 4.06347 (159*2π)/9596 weeks
1601.70666 5.52492 (160*2π)/9596 weeks
161-1.675 5.58686 (161*2π)/9596 weeks
162-2.20285 2.6087 (162*2π)/9596 weeks
163-1.65245 1.04696 (163*2π)/9596 weeks
164.70248 .14401 (164*2π)/9596 weeks
165.86962 2.4517 (165*2π)/9596 weeks
166-.34425 1.67719 (166*2π)/9596 weeks
167-1.15402 1.46504 (167*2π)/9596 weeks
168-.05834 -1.86282 (168*2π)/9596 weeks
1692.50622 .12679 (169*2π)/9596 weeks
1701.18391 -.19394 (170*2π)/9596 weeks
1712.55275 -.14542 (171*2π)/9596 weeks
1722.38841 -1.04482 (172*2π)/9596 weeks
1734.91889 -.67312 (173*2π)/9596 weeks
1745.30195 .43565 (174*2π)/9596 weeks
1757.38709 1.39963 (175*2π)/9595 weeks
1767.05881 3.87461 (176*2π)/9595 weeks
1777.49006 5.58999 (177*2π)/9595 weeks
1785.30709 8.34657 (178*2π)/9595 weeks
1793.44335 8.0274 (179*2π)/9595 weeks
1802.30519 8.05212 (180*2π)/9595 weeks
1812.5938 7.21655 (181*2π)/9595 weeks
1821.86907 9.43928 (182*2π)/9595 weeks
183.7627 9.69445 (183*2π)/9595 weeks
184-.88936 10.91763 (184*2π)/9595 weeks
185-3.8062 10.2824 (185*2π)/9595 weeks
186-5.76556 9.04288 (186*2π)/9595 weeks
187-6.58557 6.36019 (187*2π)/9595 weeks
188-5.69141 5.52808 (188*2π)/9595 weeks
189-6.622 5.20191 (189*2π)/9595 weeks
190-6.67219 3.44563 (190*2π)/9595 weeks
191-6.58643 2.64649 (191*2π)/9595 weeks
192-5.23916 1.80345 (192*2π)/9595 weeks
193-6.12908 2.83192 (193*2π)/9595 weeks
194-6.02794 1.30569 (194*2π)/9595 weeks
195-6.89548 1.26324 (195*2π)/9595 weeks
196-6.43222 -.70297 (196*2π)/9595 weeks
197-5.77296 -1.17656 (197*2π)/9595 weeks
198-5.18642 -1.41324 (198*2π)/9595 weeks
199-5.69377 -1.98505 (199*2π)/9595 weeks
200-5.03906 -3.24797 (200*2π)/9595 weeks
201-3.64425 -3.70881 (201*2π)/9595 weeks
202-2.64638 -4.23321 (202*2π)/9595 weeks
203-1.70948 -2.92348 (203*2π)/9595 weeks
204-2.23101 -3.81952 (204*2π)/9595 weeks
205-.28831 -3.19917 (205*2π)/9595 weeks
206-1.6139 -3.60379 (206*2π)/9595 weeks
2071.38808 -3.71901 (207*2π)/9595 weeks
208.99238 -1.23068 (208*2π)/9595 weeks
209.79884 -.5205 (209*2π)/9595 weeks
210-1.59183 .65237 (210*2π)/9595 weeks
211-2.75001 -1.60885 (211*2π)/9595 weeks
212-2.07919 -2.64557 (212*2π)/9595 weeks
213-1.98172 -3.18962 (213*2π)/9595 weeks
214-1.63335 -4.19807 (214*2π)/9594 weeks
215-.80755 -4.56858 (215*2π)/9594 weeks
216-.00916 -5.70219 (216*2π)/9594 weeks
2171.98151 -5.76955 (217*2π)/9594 weeks
2183.09448 -4.30363 (218*2π)/9594 weeks
2192.64106 -5.05552 (219*2π)/9594 weeks
2205.61916 -4.51238 (220*2π)/9594 weeks
2216.03803 -2.15363 (221*2π)/9594 weeks
2225.71376 -.1672 (222*2π)/9594 weeks
2233.83895 .6457 (223*2π)/9594 weeks
2243.16373 -.13458 (224*2π)/9594 weeks
2253.66032 -.327 (225*2π)/9594 weeks
2263.56683 .78837 (226*2π)/9594 weeks
2272.46423 .61387 (227*2π)/9594 weeks
2282.42982 -.04059 (228*2π)/9594 weeks
2292.69972 -.84189 (229*2π)/9594 weeks
2304.3645 -.79707 (230*2π)/9594 weeks
2314.35077 1.1012 (231*2π)/9594 weeks
2323.6655 .78345 (232*2π)/9594 weeks
2333.90157 2.04646 (233*2π)/9594 weeks
2343.51115 1.43337 (234*2π)/9594 weeks
2353.2019 2.68289 (235*2π)/9594 weeks
2362.77364 2.00003 (236*2π)/9594 weeks
2372.16917 3.11159 (237*2π)/9594 weeks
2381.14171 1.48379 (238*2π)/9594 weeks
2392.39638 .8875 (239*2π)/9594 weeks
2403.11802 1.34243 (240*2π)/9594 weeks
2413.56378 2.48083 (241*2π)/9594 weeks
2422.56898 3.33355 (242*2π)/9594 weeks
2431.85397 2.90897 (243*2π)/9594 weeks
2441.72529 3.08548 (244*2π)/9594 weeks
2451.94279 2.477 (245*2π)/9594 weeks
2462.00335 3.33066 (246*2π)/9594 weeks
2471.45411 3.53322 (247*2π)/9594 weeks
248.50733 3.4448 (248*2π)/9594 weeks
249.74447 2.58344 (249*2π)/9594 weeks
250.85915 3.32636 (250*2π)/9594 weeks
251.866 2.41773 (251*2π)/9594 weeks
252.9167 3.9045 (252*2π)/9594 weeks
253-.41978 2.89202 (253*2π)/9594 weeks
254.27879 2.97561 (254*2π)/9594 weeks
255-.66228 2.34366 (255*2π)/9594 weeks
256.86845 1.57757 (256*2π)/9594 weeks
2571.4517 2.69676 (257*2π)/9594 weeks
2581.70214 3.85741 (258*2π)/9594 weeks
259.16499 5.11395 (259*2π)/9594 weeks
260-.97599 4.78735 (260*2π)/9594 weeks
261-1.8584 3.77608 (261*2π)/9594 weeks
262-1.26658 3.6211 (262*2π)/9594 weeks
263-2.26698 3.63908 (263*2π)/9594 weeks
264-1.79061 3.08829 (264*2π)/9594 weeks
265-2.56347 3.7078 (265*2π)/9594 weeks
266-3.30781 2.47286 (266*2π)/9594 weeks
267-2.65796 2.48284 (267*2π)/9594 weeks
268-3.20896 2.04928 (268*2π)/9594 weeks
269-3.1891 2.43358 (269*2π)/9594 weeks
270-4.84236 1.82564 (270*2π)/9594 weeks
271-4.339 .06221 (271*2π)/9594 weeks
272-3.90694 -1.3456 (272*2π)/9594 weeks
273-1.16297 -1.09813 (273*2π)/9594 weeks
274-2.02402 .79269 (274*2π)/9594 weeks
275-2.84196 .55559 (275*2π)/9593 weeks
276-4.0269 -.48885 (276*2π)/9593 weeks
277-2.40063 -2.25808 (277*2π)/9593 weeks
278-1.33337 -1.4358 (278*2π)/9593 weeks
279-.57829 -.97668 (279*2π)/9593 weeks
280-1.32577 .16623 (280*2π)/9593 weeks
281-1.82281 -.91954 (281*2π)/9593 weeks
282-.34353 -.60621 (282*2π)/9593 weeks
283-.65275 .56579 (283*2π)/9593 weeks
284-1.88737 1.74785 (284*2π)/9593 weeks
285-3.349 .74927 (285*2π)/9593 weeks
286-3.88074 -.2041 (286*2π)/9593 weeks
287-3.65387 -.88486 (287*2π)/9593 weeks
288-3.88249 -1.47164 (288*2π)/9593 weeks
289-4.1109 -2.18107 (289*2π)/9593 weeks
290-4.15812 -3.4004 (290*2π)/9593 weeks
291-3.5667 -4.96493 (291*2π)/9593 weeks
292-1.61808 -5.62135 (292*2π)/9593 weeks
293-.68065 -5.5401 (293*2π)/9593 weeks
2941.12089 -4.81514 (294*2π)/9593 weeks
295.45623 -3.60456 (295*2π)/9593 weeks
2961.25672 -4.92521 (296*2π)/9593 weeks
2972.39321 -3.24496 (297*2π)/9593 weeks
2982.34996 -3.34568 (298*2π)/9593 weeks
2992.97219 -1.42524 (299*2π)/9593 weeks
300.89886 -1.00345 (300*2π)/9593 weeks
3011.05819 -2.06803 (301*2π)/9593 weeks
3021.3021 -2.25346 (302*2π)/9593 weeks
3032.04627 -1.81231 (303*2π)/9593 weeks
3041.91064 -1.55104 (304*2π)/9593 weeks
3051.98639 -.75737 (305*2π)/9593 weeks
3061.04227 -.93494 (306*2π)/9593 weeks
3071.65489 -.77784 (307*2π)/9593 weeks
308.38907 -.14776 (308*2π)/9593 weeks
309-.15316 -1.10962 (309*2π)/9593 weeks
310-.51381 -1.61015 (310*2π)/9593 weeks
311-.084 -3.42728 (311*2π)/9593 weeks
3122.16258 -2.92359 (312*2π)/9593 weeks
3131.68371 -1.96596 (313*2π)/9593 weeks
3141.30203 -1.86434 (314*2π)/9593 weeks
315.80603 -3.04899 (315*2π)/9593 weeks
3162.57235 -3.77204 (316*2π)/9593 weeks
3174.02601 -3.04088 (317*2π)/9593 weeks
3184.48144 -1.1702 (318*2π)/9593 weeks
3193.58159 -.57804 (319*2π)/9593 weeks
3203.60302 -.1137 (320*2π)/9593 weeks
3213.18498 -.25223 (321*2π)/9593 weeks
3224.17141 .82041 (322*2π)/9593 weeks
3232.26569 2.81944 (323*2π)/9593 weeks
324.16587 1.70394 (324*2π)/9593 weeks
325-.34618 .33799 (325*2π)/9593 weeks
326.17343 -.66136 (326*2π)/9593 weeks
327.34125 -.58818 (327*2π)/9593 weeks
328.00216 -1.12712 (328*2π)/9593 weeks
329.16013 -1.91852 (329*2π)/9593 weeks
3301.21875 -2.90396 (330*2π)/9593 weeks
3311.99819 -2.16191 (331*2π)/9593 weeks
3322.42736 -2.40807 (332*2π)/9593 weeks
3332.84447 -1.61311 (333*2π)/9593 weeks
3342.50725 -1.75938 (334*2π)/9593 weeks
3353.30536 -1.37712 (335*2π)/9593 weeks
3362.83917 -1.36325 (336*2π)/9593 weeks
3374.14086 -1.25399 (337*2π)/9593 weeks
3383.93881 -.10216 (338*2π)/9593 weeks
3393.67344 .74691 (339*2π)/9593 weeks
3401.6619 1.24932 (340*2π)/9593 weeks
3411.51639 -.83846 (341*2π)/9593 weeks
3422.52568 -1.31806 (342*2π)/9593 weeks
3433.17572 -.94695 (343*2π)/9593 weeks
3443.59789 -.47162 (344*2π)/9593 weeks
3453.46301 -.44732 (345*2π)/9593 weeks
3464.01088 -.10426 (346*2π)/9593 weeks
3474.13925 .7756 (347*2π)/9593 weeks
3483.79956 1.00048 (348*2π)/9593 weeks
3493.38665 1.95585 (349*2π)/9593 weeks
3502.38174 1.55739 (350*2π)/9593 weeks
3512.14993 1.43383 (351*2π)/9593 weeks
3521.40472 .85792 (352*2π)/9593 weeks
3532.15127 -.4643 (353*2π)/9593 weeks
3543.09252 -.17345 (354*2π)/9593 weeks
3553.78765 .56397 (355*2π)/9593 weeks
3563.22136 .92732 (356*2π)/9593 weeks
3573.1285 .79939 (357*2π)/9593 weeks
3584.11654 .89342 (358*2π)/9593 weeks
3594.16628 1.74139 (359*2π)/9593 weeks
3603.84777 2.9032 (360*2π)/9593 weeks
3612.56091 2.62658 (361*2π)/9593 weeks
3623.16138 2.57098 (362*2π)/9593 weeks
3632.48907 3.14845 (363*2π)/9593 weeks
3642.88405 3.18533 (364*2π)/9593 weeks
3651.19401 4.42966 (365*2π)/9593 weeks
366.32085 2.91615 (366*2π)/9593 weeks
367.05677 2.33895 (367*2π)/9593 weeks
368.56465 1.06212 (368*2π)/9593 weeks
3691.54359 1.94488 (369*2π)/9593 weeks
370.30161 1.93145 (370*2π)/9593 weeks
371.82128 .86285 (371*2π)/9593 weeks
3721.52326 1.04735 (372*2π)/9593 weeks
3731.55451 1.12138 (373*2π)/9593 weeks
3741.94818 1.19164 (374*2π)/9593 weeks
3752.06156 1.46054 (375*2π)/9593 weeks
3762.11575 1.6496 (376*2π)/9593 weeks
3772.53817 2.10828 (377*2π)/9593 weeks
3781.95108 2.67879 (378*2π)/9593 weeks
3791.82863 2.53836 (379*2π)/9593 weeks
3801.47747 2.57336 (380*2π)/9593 weeks
3812.43671 2.33588 (381*2π)/9593 weeks
3822.15506 4.2118 (382*2π)/9593 weeks
383.75037 4.13115 (383*2π)/9593 weeks
384-.18764 3.80075 (384*2π)/9592 weeks
385-.18158 2.67866 (385*2π)/9592 weeks
386-.11089 2.97214 (386*2π)/9592 weeks
387.0584 2.34624 (387*2π)/9592 weeks
388.13247 2.9663 (388*2π)/9592 weeks
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