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# Fourier Analysis of ENZ (Enzo Biochem, Inc. Common Stock)

ENZ (Enzo Biochem, Inc. Common Stock) appears to have interesting cyclic behaviour every 174 weeks (2.5608*cosine), 192 weeks (1.9357*cosine), and 148 weeks (1.2001*cosine).

ENZ (Enzo Biochem, Inc. Common Stock) has an average price of 9.41 (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 6/12/1980 to 3/20/2017 for ENZ (Enzo Biochem, Inc. Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
09.4142   0
1-5.83122 -2.80257 (1*2π)/19191,919 weeks
23.13765 4.8691 (2*2π)/1919960 weeks
3-1.00724 .51453 (3*2π)/1919640 weeks
4-.29005 .989 (4*2π)/1919480 weeks
5-.44759 -2.19237 (5*2π)/1919384 weeks
6-1.00396 1.76151 (6*2π)/1919320 weeks
7.73833 -1.97156 (7*2π)/1919274 weeks
8-1.32179 .83446 (8*2π)/1919240 weeks
91.40167 -1.40542 (9*2π)/1919213 weeks
10-1.93573 .35819 (10*2π)/1919192 weeks
112.56078 -.30006 (11*2π)/1919174 weeks
12-.87528 -.05695 (12*2π)/1919160 weeks
131.20008 .34633 (13*2π)/1919148 weeks
14-1.03382 -.29407 (14*2π)/1919137 weeks
15.71679 .94984 (15*2π)/1919128 weeks
16-.64415 -1.09133 (16*2π)/1919120 weeks
17.19592 1.00111 (17*2π)/1919113 weeks
18-.92076 -1.18759 (18*2π)/1919107 weeks
19.1973 .70588 (19*2π)/1919101 weeks
20-.58161 -1.37618 (20*2π)/191996 weeks
21-.45072 .56039 (21*2π)/191991 weeks
22.92602 -1.14765 (22*2π)/191987 weeks
23-1.02671 .21009 (23*2π)/191983 weeks
24.99101 -.09914 (24*2π)/191980 weeks
25-.32785 .15586 (25*2π)/191977 weeks
26.65289 .14941 (26*2π)/191974 weeks
27-.37744 -.22604 (27*2π)/191971 weeks
28.03713 .34651 (28*2π)/191969 weeks
29-.35033 -.17597 (29*2π)/191966 weeks
30.29498 .00324 (30*2π)/191964 weeks
31-.06779 -.75708 (31*2π)/191962 weeks
32-.10967 .2959 (32*2π)/191960 weeks
33.21775 -.26972 (33*2π)/191958 weeks
34-.21959 .23611 (34*2π)/191956 weeks
35.11907 -.45349 (35*2π)/191955 weeks
36.01608 .0256 (36*2π)/191953 weeks
37-.10566 -.19247 (37*2π)/191952 weeks
38.3132 .02119 (38*2π)/191951 weeks
39.00376 -.01193 (39*2π)/191949 weeks
40-.13622 -.19208 (40*2π)/191948 weeks
41.15377 .09288 (41*2π)/191947 weeks
42.00919 .2573 (42*2π)/191946 weeks
43.24364 -.32826 (43*2π)/191945 weeks
44-.16543 .24152 (44*2π)/191944 weeks
45.18849 -.1308 (45*2π)/191943 weeks
46-.26585 .07171 (46*2π)/191942 weeks
47.35592 .04871 (47*2π)/191941 weeks
48-.27244 -.16004 (48*2π)/191940 weeks
49.23648 .14786 (49*2π)/191939 weeks
50-.44475 -.08019 (50*2π)/191938 weeks
51.4302 .30603 (51*2π)/191938 weeks
52-.22714 -.5065 (52*2π)/191937 weeks
53-.12023 .46258 (53*2π)/191936 weeks
54.28419 -.4249 (54*2π)/191936 weeks
55-.51827 .18072 (55*2π)/191935 weeks
56.48828 -.02867 (56*2π)/191934 weeks
57-.53109 -.24055 (57*2π)/191934 weeks
58.27465 .26842 (58*2π)/191933 weeks
59-.26548 -.25157 (59*2π)/191933 weeks
60.35996 .0877 (60*2π)/191932 weeks
61-.30934 -.47574 (61*2π)/191931 weeks
62.04507 .36785 (62*2π)/191931 weeks
63-.01784 -.28564 (63*2π)/191930 weeks
64.05882 .3078 (64*2π)/191930 weeks
65-.05646 -.48178 (65*2π)/191930 weeks
66-.32163 .3192 (66*2π)/191929 weeks
67.15132 -.37473 (67*2π)/191929 weeks
68-.35956 .21092 (68*2π)/191928 weeks
69.31789 -.3284 (69*2π)/191928 weeks
70-.35854 -.00893 (70*2π)/191927 weeks
71.23716 -.08995 (71*2π)/191927 weeks
72-.20368 .00028 (72*2π)/191927 weeks
73.34361 -.09306 (73*2π)/191926 weeks
74-.43319 -.13452 (74*2π)/191926 weeks
75.37382 .18636 (75*2π)/191926 weeks
76-.25624 -.3354 (76*2π)/191925 weeks
77.20775 .40489 (77*2π)/191925 weeks
78-.11923 -.45868 (78*2π)/191925 weeks
79-.11034 .47595 (79*2π)/191924 weeks
80.17915 -.48862 (80*2π)/191924 weeks
81-.2599 .40184 (81*2π)/191924 weeks
82.38954 -.40722 (82*2π)/191923 weeks
83-.39296 .24426 (83*2π)/191923 weeks
84.42701 -.10924 (84*2π)/191923 weeks
85-.28839 -.03614 (85*2π)/191923 weeks
86.33105 .07171 (86*2π)/191922 weeks
87-.3276 -.17345 (87*2π)/191922 weeks
88.27213 .31979 (88*2π)/191922 weeks
89-.23292 -.29386 (89*2π)/191922 weeks
90.14975 .25046 (90*2π)/191921 weeks
91-.14473 -.4234 (91*2π)/191921 weeks
92.02818 .29832 (92*2π)/191921 weeks
93.07233 -.22869 (93*2π)/191921 weeks
94-.00104 .21584 (94*2π)/191920 weeks
95.07555 -.16023 (95*2π)/191920 weeks
96-.12297 .21641 (96*2π)/191920 weeks
97.11702 -.24445 (97*2π)/191920 weeks
98-.27254 .24973 (98*2π)/191920 weeks
99.27233 -.24759 (99*2π)/191919 weeks
100-.28363 .0926 (100*2π)/191919 weeks
101.22508 -.08019 (101*2π)/191919 weeks
102-.22293 -.06186 (102*2π)/191919 weeks
103.18451 .16244 (103*2π)/191919 weeks
104-.07931 -.23478 (104*2π)/191918 weeks
105-.06052 .13346 (105*2π)/191918 weeks
106-.01574 -.08724 (106*2π)/191918 weeks
107.05431 .1367 (107*2π)/191918 weeks
108.0219 -.27721 (108*2π)/191918 weeks
109-.10448 .1881 (109*2π)/191918 weeks
110.14505 -.22331 (110*2π)/191917 weeks
111-.14023 .1197 (111*2π)/191917 weeks
112.26352 -.10825 (112*2π)/191917 weeks
113-.22901 -.0569 (113*2π)/191917 weeks
114.19738 .1153 (114*2π)/191917 weeks
115-.15593 -.13916 (115*2π)/191917 weeks
116.13986 .10742 (116*2π)/191917 weeks
117-.10297 -.17282 (117*2π)/191916 weeks
118.02971 .08362 (118*2π)/191916 weeks
119-.01177 -.13084 (119*2π)/191916 weeks
120-.03535 .07277 (120*2π)/191916 weeks
121.08027 -.15051 (121*2π)/191916 weeks
122-.13764 .09305 (122*2π)/191916 weeks
123.17824 -.12112 (123*2π)/191916 weeks
124-.08124 -.0744 (124*2π)/191915 weeks
125.06684 .03415 (125*2π)/191915 weeks
126.01763 -.09443 (126*2π)/191915 weeks
127.01436 .14835 (127*2π)/191915 weeks
128.08623 -.13201 (128*2π)/191915 weeks
129-.18922 .05398 (129*2π)/191915 weeks
130.107 -.04993 (130*2π)/191915 weeks
131-.05862 -.08748 (131*2π)/191915 weeks
132.0736 -.09498 (132*2π)/191915 weeks
133-.00157 .00978 (133*2π)/191914 weeks
134.16151 -.00607 (134*2π)/191914 weeks
135-.06639 -.06923 (135*2π)/191914 weeks
136.08555 .14464 (136*2π)/191914 weeks
137-.05165 -.09027 (137*2π)/191914 weeks
138.02522 .1003 (138*2π)/191914 weeks
139-.09545 -.1063 (139*2π)/191914 weeks
140-.09625 .08065 (140*2π)/191914 weeks
141.00971 -.04805 (141*2π)/191914 weeks
142-.00096 -.00998 (142*2π)/191914 weeks
143.0275 -.03656 (143*2π)/191913 weeks
144-.02551 -.00553 (144*2π)/191913 weeks
145.10081 -.0176 (145*2π)/191913 weeks
146-.13118 .04003 (146*2π)/191913 weeks
147.11983 .05088 (147*2π)/191913 weeks
148-.11744 -.09617 (148*2π)/191913 weeks
149.02219 .07325 (149*2π)/191913 weeks
150-.06358 -.12437 (150*2π)/191913 weeks
151-.02531 .06939 (151*2π)/191913 weeks
152-.01171 -.09834 (152*2π)/191913 weeks
153-.08457 .02823 (153*2π)/191913 weeks
154.10051 -.08236 (154*2π)/191912 weeks
155-.11735 .02225 (155*2π)/191912 weeks
156.10622 -.06249 (156*2π)/191912 weeks
157-.0996 -.00379 (157*2π)/191912 weeks
158.13763 .01551 (158*2π)/191912 weeks
159-.10383 -.07975 (159*2π)/191912 weeks
160.09663 .11865 (160*2π)/191912 weeks
161-.04116 -.1599 (161*2π)/191912 weeks
162.0161 .1319 (162*2π)/191912 weeks
163.04101 -.18911 (163*2π)/191912 weeks
164-.07254 .12064 (164*2π)/191912 weeks
165.12306 -.1413 (165*2π)/191912 weeks
166-.12857 .07611 (166*2π)/191912 weeks
167.19432 -.00859 (167*2π)/191911 weeks
168-.11827 -.01503 (168*2π)/191911 weeks
169.11137 .05932 (169*2π)/191911 weeks
170-.1206 -.0433 (170*2π)/191911 weeks
171.10416 .09087 (171*2π)/191911 weeks
172-.06786 -.13844 (172*2π)/191911 weeks
173.06975 .10764 (173*2π)/191911 weeks
174-.01881 -.13336 (174*2π)/191911 weeks
175-.0687 .12364 (175*2π)/191911 weeks
176.12057 -.12731 (176*2π)/191911 weeks
177-.15918 .04727 (177*2π)/191911 weeks
178.11606 -.05025 (178*2π)/191911 weeks
179-.07191 -.01585 (179*2π)/191911 weeks
180.01736 -.0135 (180*2π)/191911 weeks
181-.05279 -.01076 (181*2π)/191911 weeks
182.12989 -.03852 (182*2π)/191911 weeks
183-.11368 -.06397 (183*2π)/191910 weeks
184.11267 .10198 (184*2π)/191910 weeks
185-.00977 -.10899 (185*2π)/191910 weeks
186-.0438 .12191 (186*2π)/191910 weeks
187.01595 -.10249 (187*2π)/191910 weeks
188-.05346 .06964 (188*2π)/191910 weeks
189.09032 -.14813 (189*2π)/191910 weeks
190-.13465 .02706 (190*2π)/191910 weeks
191.0963 .06308 (191*2π)/191910 weeks
192-.05241 -.11532 (192*2π)/191910 weeks
193.00459 .07068 (193*2π)/191910 weeks
194-.00928 -.05158 (194*2π)/191910 weeks
195.04166 .03806 (195*2π)/191910 weeks
196-.00963 -.02334 (196*2π)/191910 weeks
197-.08411 .02896 (197*2π)/191910 weeks
198.00262 .05996 (198*2π)/191910 weeks
199-.00361 -.09604 (199*2π)/191910 weeks
200-.01144 -.032 (200*2π)/191910 weeks
201-.00165 -.0391 (201*2π)/191910 weeks
202.03514 .04186 (202*2π)/191910 weeks
203.03044 -.00066 (203*2π)/19199 weeks
204-.07047 -.06448 (204*2π)/19199 weeks
205-.00988 .06372 (205*2π)/19199 weeks
206-.0721 -.07391 (206*2π)/19199 weeks
207.04191 .07483 (207*2π)/19199 weeks
208-.0045 -.15759 (208*2π)/19199 weeks
209-.0978 .0927 (209*2π)/19199 weeks
210.11022 -.07201 (210*2π)/19199 weeks
211-.0566 .01517 (211*2π)/19199 weeks
212.10845 -.06429 (212*2π)/19199 weeks
213-.08223 .01667 (213*2π)/19199 weeks
214.13098 -.0134 (214*2π)/19199 weeks
215-.09421 -.0182 (215*2π)/19199 weeks
216.1245 .04667 (216*2π)/19199 weeks
217-.11271 -.06676 (217*2π)/19199 weeks
218.121 .09071 (218*2π)/19199 weeks
219-.0719 -.11718 (219*2π)/19199 weeks
220-.00285 .13132 (220*2π)/19199 weeks
221-.01932 -.14176 (221*2π)/19199 weeks
222-.03753 .15906 (222*2π)/19199 weeks
223.04717 -.1962 (223*2π)/19199 weeks
224-.1322 .09674 (224*2π)/19199 weeks
225.12568 -.06859 (225*2π)/19199 weeks
226-.06999 .002 (226*2π)/19198 weeks
227.18667 -.10503 (227*2π)/19198 weeks
228-.20405 .01257 (228*2π)/19198 weeks
229.23073 .08694 (229*2π)/19198 weeks
230-.16291 -.10565 (230*2π)/19198 weeks
231.12603 .10881 (231*2π)/19198 weeks
232-.15901 -.16429 (232*2π)/19198 weeks
233.01129 .19865 (233*2π)/19198 weeks
234.00799 -.20965 (234*2π)/19198 weeks
235-.09328 .11833 (235*2π)/19198 weeks
236.04479 -.13256 (236*2π)/19198 weeks
237-.07743 .08131 (237*2π)/19198 weeks
238.10255 -.09045 (238*2π)/19198 weeks
239-.17744 .03421 (239*2π)/19198 weeks
240.15094 -.06352 (240*2π)/19198 weeks
241-.17388 .00315 (241*2π)/19198 weeks
242.1543 -.00687 (242*2π)/19198 weeks
243-.10303 -.10103 (243*2π)/19198 weeks
244.05451 .09921 (244*2π)/19198 weeks
245-.01621 -.07991 (245*2π)/19198 weeks
246.08158 .04665 (246*2π)/19198 weeks
247-.07151 -.12201 (247*2π)/19198 weeks
248.03264 .13591 (248*2π)/19198 weeks
249-.00015 -.09568 (249*2π)/19198 weeks
250.01514 .08941 (250*2π)/19198 weeks
251.02755 -.10318 (251*2π)/19198 weeks
252-.10325 .09734 (252*2π)/19198 weeks
253.11343 -.05167 (253*2π)/19198 weeks
254-.1321 -.00113 (254*2π)/19198 weeks
255.10885 -.0085 (255*2π)/19198 weeks
256-.12709 -.05451 (256*2π)/19197 weeks
257.13938 .05475 (257*2π)/19197 weeks
258-.09017 -.06317 (258*2π)/19197 weeks
259.09605 .07801 (259*2π)/19197 weeks
260-.06307 -.03852 (260*2π)/19197 weeks
261.03672 .04803 (261*2π)/19197 weeks
262-.06706 -.08507 (262*2π)/19197 weeks
263-.01015 .11464 (263*2π)/19197 weeks
264.02296 -.11566 (264*2π)/19197 weeks
265-.05188 .00471 (265*2π)/19197 weeks
266.05836 -.06033 (266*2π)/19197 weeks
267-.06223 .03538 (267*2π)/19197 weeks
268.06236 -.02424 (268*2π)/19197 weeks
269-.07018 .04599 (269*2π)/19197 weeks
270.06028 -.04362 (270*2π)/19197 weeks
271-.08909 -.01326 (271*2π)/19197 weeks
272.10457 -.00713 (272*2π)/19197 weeks
273-.06094 -.03229 (273*2π)/19197 weeks
274.02818 .04789 (274*2π)/19197 weeks
275-.0591 -.05633 (275*2π)/19197 weeks
276.00831 .09288 (276*2π)/19197 weeks
277-.00472 -.14856 (277*2π)/19197 weeks
278-.04904 .04876 (278*2π)/19197 weeks
279.04708 -.09442 (279*2π)/19197 weeks
280-.06456 .05114 (280*2π)/19197 weeks
281.08236 -.07433 (281*2π)/19197 weeks
282-.05447 .00591 (282*2π)/19197 weeks
283.04418 -.02471 (283*2π)/19197 weeks
284-.04425 .01843 (284*2π)/19197 weeks
285.10399 .0006 (285*2π)/19197 weeks
286-.08117 -.04788 (286*2π)/19197 weeks
287.05176 .0866 (287*2π)/19197 weeks
288-.04254 -.07331 (288*2π)/19197 weeks
289.01721 .05363 (289*2π)/19197 weeks
290-.03538 -.05192 (290*2π)/19197 weeks
291.01391 .04705 (291*2π)/19197 weeks
292-.03553 -.06733 (292*2π)/19197 weeks
293-.02135 .05956 (293*2π)/19197 weeks
294-.01151 -.12814 (294*2π)/19197 weeks
295.03389 .06873 (295*2π)/19197 weeks
296.02139 -.12135 (296*2π)/19196 weeks
297-.04761 .1122 (297*2π)/19196 weeks
298.10392 -.02329 (298*2π)/19196 weeks
299-.12612 .01326 (299*2π)/19196 weeks
300.0688 -.02211 (300*2π)/19196 weeks
301-.09739 -.0308 (301*2π)/19196 weeks
302.09874 .05149 (302*2π)/19196 weeks
303-.06022 -.08 (303*2π)/19196 weeks
304.03738 .056 (304*2π)/19196 weeks
305-.0714 -.08496 (305*2π)/19196 weeks
306.04425 .08695 (306*2π)/19196 weeks
307.02635 -.13884 (307*2π)/19196 weeks
308-.02496 .05777 (308*2π)/19196 weeks
309.05656 -.03562 (309*2π)/19196 weeks
310-.02838 .01895 (310*2π)/19196 weeks
311.03246 .00955 (311*2π)/19196 weeks
312-.03817 .02281 (312*2π)/19196 weeks
313.01225 -.05049 (313*2π)/19196 weeks
314-.05761 .0538 (314*2π)/19196 weeks
315.04567 -.04486 (315*2π)/19196 weeks
316-.04502 .00182 (316*2π)/19196 weeks
317.02633 -.01569 (317*2π)/19196 weeks
318-.04354 -.01459 (318*2π)/19196 weeks
319.04715 .01359 (319*2π)/19196 weeks
320-.03491 -.05092 (320*2π)/19196 weeks
321.04089 .06487 (321*2π)/19196 weeks
322-.0255 -.05287 (322*2π)/19196 weeks
323.00659 .04275 (323*2π)/19196 weeks
324-.04492 -.03229 (324*2π)/19196 weeks
325-.00348 .03288 (325*2π)/19196 weeks
326.02518 -.09833 (326*2π)/19196 weeks
327-.01179 .02328 (327*2π)/19196 weeks
328.05474 -.03087 (328*2π)/19196 weeks
329-.02465 .03127 (329*2π)/19196 weeks
330.04593 -.0265 (330*2π)/19196 weeks
331-.06905 .01646 (331*2π)/19196 weeks
332.03936 -.02344 (332*2π)/19196 weeks
333-.03998 -.00926 (333*2π)/19196 weeks
334.02955 .01041 (334*2π)/19196 weeks
335-.04992 -.0342 (335*2π)/19196 weeks
336.04433 .01954 (336*2π)/19196 weeks
337-.04671 -.00699 (337*2π)/19196 weeks
338.05839 .01191 (338*2π)/19196 weeks
339-.04723 -.05504 (339*2π)/19196 weeks
340.0122 .08919 (340*2π)/19196 weeks
341-.00857 -.08502 (341*2π)/19196 weeks
342-.00614 .03938 (342*2π)/19196 weeks
343-.00694 -.08178 (343*2π)/19196 weeks
344-.00742 .05725 (344*2π)/19196 weeks
345.06794 -.08794 (345*2π)/19196 weeks
346-.05632 .0471 (346*2π)/19196 weeks
347.06285 -.0318 (347*2π)/19196 weeks
348-.10113 .03922 (348*2π)/19196 weeks
349.09248 -.02377 (349*2π)/19195 weeks
350-.10774 -.05157 (350*2π)/19195 weeks
351.07377 .04972 (351*2π)/19195 weeks
352-.04091 -.08541 (352*2π)/19195 weeks
353.03982 .06255 (353*2π)/19195 weeks
354-.0525 -.09839 (354*2π)/19195 weeks
355.02188 .08428 (355*2π)/19195 weeks
356.01361 -.11862 (356*2π)/19195 weeks
357-.02673 .0915 (357*2π)/19195 weeks
358.02185 -.09614 (358*2π)/19195 weeks
359-.05256 .12507 (359*2π)/19195 weeks
360.08062 -.12369 (360*2π)/19195 weeks
361-.14938 .04945 (361*2π)/19195 weeks
362.11478 -.00932 (362*2π)/19195 weeks
363-.14756 -.01146 (363*2π)/19195 weeks
364.13674 .0252 (364*2π)/19195 weeks
365-.14413 -.09391 (365*2π)/19195 weeks
366.07198 .0994 (366*2π)/19195 weeks
367-.03974 -.10193 (367*2π)/19195 weeks
368.03383 .05105 (368*2π)/19195 weeks
369-.00346 -.07853 (369*2π)/19195 weeks
370-.04217 .07715 (370*2π)/19195 weeks
371.02532 -.06226 (371*2π)/19195 weeks
372-.06911 .07791 (372*2π)/19195 weeks
373.05087 -.10764 (373*2π)/19195 weeks
374-.11367 .03566 (374*2π)/19195 weeks
375.12026 -.03693 (375*2π)/19195 weeks
376-.08846 -.00217 (376*2π)/19195 weeks
377.11973 -.02879 (377*2π)/19195 weeks
378-.09369 -.01946 (378*2π)/19195 weeks
379.07065 .05771 (379*2π)/19195 weeks
380-.0621