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# Fourier Analysis of XON (Precigen)

XON (Precigen) appears to have interesting cyclic behaviour every 19 weeks (1.2944*sine), 18 weeks (1.2665*cosine), and 17 weeks (.5704*cosine).

XON (Precigen) has an average price of 21.05 (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 8/7/2013 to 4/13/2020 for XON (Precigen), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
021.04808   0
1-7.04595 12.08857 (1*2π)/350350 weeks
2-3.17138 .27791 (2*2π)/350175 weeks
32.44818 .09067 (3*2π)/350117 weeks
42.67756 3.52554 (4*2π)/35088 weeks
5-2.13191 2.0103 (5*2π)/35070 weeks
6-2.21641 .08058 (6*2π)/35058 weeks
7.63002 .6182 (7*2π)/35050 weeks
8.35069 .74881 (8*2π)/35044 weeks
9-.92509 .77093 (9*2π)/35039 weeks
101.12784 -.33797 (10*2π)/35035 weeks
11-.80081 .95546 (11*2π)/35032 weeks
12-.27424 -.52801 (12*2π)/35029 weeks
131.23392 .03235 (13*2π)/35027 weeks
14.54705 .94932 (14*2π)/35025 weeks
15-.24857 .95375 (15*2π)/35023 weeks
16.41497 1.03163 (16*2π)/35022 weeks
17.49339 .70299 (17*2π)/35021 weeks
18-.13447 1.2944 (18*2π)/35019 weeks
19-1.26648 .18813 (19*2π)/35018 weeks
20.00808 -.61104 (20*2π)/35018 weeks
21.57042 .89626 (21*2π)/35017 weeks
22-.43554 .32997 (22*2π)/35016 weeks
23-.00516 .13266 (23*2π)/35015 weeks
24.18871 .15648 (24*2π)/35015 weeks
25-.28124 .29773 (25*2π)/35014 weeks
26.41305 .18329 (26*2π)/35013 weeks
27-.1486 .25461 (27*2π)/35013 weeks
28-.2061 -.14777 (28*2π)/35013 weeks
29.18498 .02831 (29*2π)/35012 weeks
30.31539 -.08028 (30*2π)/35012 weeks
31.28666 .57206 (31*2π)/35011 weeks
32.14278 .35324 (32*2π)/35011 weeks
33-.00398 .32098 (33*2π)/35011 weeks
34.24132 .34672 (34*2π)/35010 weeks
35-.20416 .37974 (35*2π)/35010 weeks
36-.27554 .35983 (36*2π)/35010 weeks
37-.39157 -.14542 (37*2π)/3509 weeks
38.21874 .12789 (38*2π)/3509 weeks
39-.12562 .25116 (39*2π)/3509 weeks
40-.16533 -.27916 (40*2π)/3509 weeks
41.19253 .01779 (41*2π)/3509 weeks
42-.08017 .04199 (42*2π)/3508 weeks
43.34158 .14328 (43*2π)/3508 weeks
44.25255 -.00447 (44*2π)/3508 weeks
45.20316 .39596 (45*2π)/3508 weeks
46-.27072 .13479 (46*2π)/3508 weeks
47.52107 .01015 (47*2π)/3507 weeks
48.35 .4989 (48*2π)/3507 weeks
49-.43395 .5549 (49*2π)/3507 weeks
50-.31696 -.16372 (50*2π)/3507 weeks
51.3538 .06982 (51*2π)/3507 weeks
52-.41299 .3659 (52*2π)/3507 weeks
53-.17888 -.02846 (53*2π)/3507 weeks
54.02293 -.24996 (54*2π)/3506 weeks
55.04248 .18257 (55*2π)/3506 weeks
56-.14245 .26941 (56*2π)/3506 weeks
57.26239 -.34288 (57*2π)/3506 weeks
58.00882 .26591 (58*2π)/3506 weeks
59-.15439 .05928 (59*2π)/3506 weeks
60.13904 -.05739 (60*2π)/3506 weeks
61.02973 .19564 (61*2π)/3506 weeks
62.1231 .16732 (62*2π)/3506 weeks
63-.2557 .3025 (63*2π)/3506 weeks
64.1451 -.29885 (64*2π)/3505 weeks
65.2503 .15399 (65*2π)/3505 weeks
66-.21661 .19532 (66*2π)/3505 weeks
67.18922 -.05299 (67*2π)/3505 weeks
68.10376 .42371 (68*2π)/3505 weeks
69-.07658 -.00732 (69*2π)/3505 weeks
70.01951 .03782 (70*2π)/3505 weeks
71.0355 .09272 (71*2π)/3505 weeks
72.02122 .2008 (72*2π)/3505 weeks
73.05971 .17364 (73*2π)/3505 weeks
74-.00509 -.03473 (74*2π)/3505 weeks
75.05656 .04209 (75*2π)/3505 weeks
76.21145 .17139 (76*2π)/3505 weeks
77-.17806 .1549 (77*2π)/3505 weeks
78.11421 -.04553 (78*2π)/3504 weeks
79.17175 .0865 (79*2π)/3504 weeks
80.06445 .11997 (80*2π)/3504 weeks
81-.11213 .22406 (81*2π)/3504 weeks
82-.009 -.07469 (82*2π)/3504 weeks
83.00634 .01577 (83*2π)/3504 weeks
84.1156 .12961 (84*2π)/3504 weeks
85-.06109 .17042 (85*2π)/3504 weeks
86.05156 .08555 (86*2π)/3504 weeks
87-.12671 -.11214 (87*2π)/3504 weeks
88.11819 -.12046 (88*2π)/3504 weeks
89.22063 .06566 (89*2π)/3504 weeks
90.15244 .20053 (90*2π)/3504 weeks
91-.10204 .11778 (91*2π)/3504 weeks
92.13671 -.1331 (92*2π)/3504 weeks
93.08595 .17358 (93*2π)/3504 weeks
94.04629 .18309 (94*2π)/3504 weeks
95.06458 .08221 (95*2π)/3504 weeks
96-.00191 .23979 (96*2π)/3504 weeks
97-.11048 .03133 (97*2π)/3504 weeks
98.14784 -.02589 (98*2π)/3504 weeks
99.04497 .20949 (99*2π)/3504 weeks
100-.18238 .15317 (100*2π)/3504 weeks
101-.0892 -.07755 (101*2π)/3503 weeks
102.25243 .06672 (102*2π)/3503 weeks
103-.13506 .12488 (103*2π)/3503 weeks
104-.08013 -.10439 (104*2π)/3503 weeks
105.21041 .16806 (105*2π)/3503 weeks
106-.20826 .17103 (106*2π)/3503 weeks
107-.12766 -.13401 (107*2π)/3503 weeks
108.29362 .12124 (108*2π)/3503 weeks
109-.10616 .24894 (109*2π)/3503 weeks
110-.01961 -.22565 (110*2π)/3503 weeks
111.16721 .1784 (111*2π)/3503 weeks
112.00799 .12058 (112*2π)/3503 weeks
113-.15824 .20678 (113*2π)/3503 weeks
114.05911 -.07811 (114*2π)/3503 weeks
115.06809 .15705 (115*2π)/3503 weeks
116-.15309 .21223 (116*2π)/3503 weeks
117-.21332 -.11775 (117*2π)/3503 weeks
118.04908 -.0017 (118*2π)/3503 weeks
119-.03483 .02794 (119*2π)/3503 weeks
120-.06361 -.01917 (120*2π)/3503 weeks
121.04002 -.01735 (121*2π)/3503 weeks
122.03274 .06176 (122*2π)/3503 weeks
123-.01709 -.00773 (123*2π)/3503 weeks
124.00089 .04546 (124*2π)/3503 weeks
125.07562 .09513 (125*2π)/3503 weeks
126-.09671 .03993 (126*2π)/3503 weeks
127.01484 -.02877 (127*2π)/3503 weeks
128.03357 .1424 (128*2π)/3503 weeks
129-.096 .01317 (129*2π)/3503 weeks
130-.13918 -.01396 (130*2π)/3503 weeks
131-.08625 -.05153 (131*2π)/3503 weeks
132.20876 .00797 (132*2π)/3503 weeks
133-.02646 .04445 (133*2π)/3503 weeks
134-.04934 -.01472 (134*2π)/3503 weeks
135.07318 .03726 (135*2π)/3503 weeks
136-.06368 .01072 (136*2π)/3503 weeks
137.08118 -.03001 (137*2π)/3503 weeks
138.04121 .07549 (138*2π)/3503 weeks
139-.09079 -.14109 (139*2π)/3503 weeks
140.13572 -.00813 (140*2π)/3503 weeks
141.03276 .22764 (141*2π)/3502 weeks
142.03766 -.03577 (142*2π)/3502 weeks
143-.05991 .17705 (143*2π)/3502 weeks
144-.1299 -.05072 (144*2π)/3502 weeks
145.03313 -.11424 (145*2π)/3502 weeks
146.15986 .10479 (146*2π)/3502 weeks
147-.12176 .03744 (147*2π)/3502 weeks
148-.05023 -.08721 (148*2π)/3502 weeks
149.11982 .02229 (149*2π)/3502 weeks
150.08458 -.01026 (150*2π)/3502 weeks
151-.1114 .0779 (151*2π)/3502 weeks
152-.0901 -.06639 (152*2π)/3502 weeks
153.06866 -.04002 (153*2π)/3502 weeks
154.07841 -.01269 (154*2π)/3502 weeks
155.13119 .07532 (155*2π)/3502 weeks
156-.06852 .03917 (156*2π)/3502 weeks
157-.01529 -.03087 (157*2π)/3502 weeks
158.01722 .00521 (158*2π)/3502 weeks
159.14569 .05568 (159*2π)/3502 weeks
160-.09977 .11551 (160*2π)/3502 weeks
161-.11658 -.1184 (161*2π)/3502 weeks
162.06753 .00955 (162*2π)/3502 weeks
163.01682 -.00723 (163*2π)/3502 weeks
164-.03849 -.09023 (164*2π)/3502 weeks
165.05141 -.012 (165*2π)/3502 weeks
166.02115 -.12186 (166*2π)/3502 weeks
167.08869 .01669 (167*2π)/3502 weeks
168-.0013 .0275 (168*2π)/3502 weeks
169.01423 -.1552 (169*2π)/3502 weeks
170.09798 .11451 (170*2π)/3502 weeks
171-.03751 .10193 (171*2π)/3502 weeks
172-.11288 -.1142 (172*2π)/3502 weeks
173.19212 -.0264 (173*2π)/3502 weeks
174-.05804 .07431 (174*2π)/3502 weeks
175.01588   (175*2π)/3502 weeks
176-.05804 -.07431 (176*2π)/3502 weeks
177.19212 .0264 (177*2π)/3502 weeks
178-.11288 .1142 (178*2π)/3502 weeks
179-.03751 -.10193 (179*2π)/3502 weeks
180.09798 -.11451 (180*2π)/3502 weeks
181.01423 .1552 (181*2π)/3502 weeks
182-.0013 -.0275 (182*2π)/3502 weeks
183.08869 -.01669 (183*2π)/3502 weeks
184.02115 .12186 (184*2π)/3502 weeks
185.05141 .012 (185*2π)/3502 weeks
186-.03849 .09023 (186*2π)/3502 weeks
187.01682 .00723 (187*2π)/3502 weeks
188.06753 -.00955 (188*2π)/3502 weeks
189-.11658 .1184 (189*2π)/3502 weeks
190-.09977 -.11551 (190*2π)/3502 weeks
191.14569 -.05568 (191*2π)/3502 weeks
192.01722 -.00521 (192*2π)/3502 weeks
193-.01529 .03087 (193*2π)/3502 weeks
194-.06852 -.03917 (194*2π)/3502 weeks
195.13119 -.07532 (195*2π)/3502 weeks
196.07841 .01269 (196*2π)/3502 weeks
197.06866 .04002 (197*2π)/3502 weeks
198-.0901 .06639 (198*2π)/3502 weeks
199-.1114 -.0779 (199*2π)/3502 weeks
200.08458 .01026 (200*2π)/3502 weeks
201.11982 -.02229 (201*2π)/3502 weeks
202-.05023 .08721 (202*2π)/3502 weeks
203-.12176 -.03744 (203*2π)/3502 weeks
204.15986 -.10479 (204*2π)/3502 weeks
205.03313 .11424 (205*2π)/3502 weeks
206-.1299 .05072 (206*2π)/3502 weeks
207-.05991 -.17705 (207*2π)/3502 weeks
208.03766 .03577 (208*2π)/3502 weeks
209.03276 -.22764 (209*2π)/3502 weeks
210.13572 .00813 (210*2π)/3502 weeks
211-.09079 .14109 (211*2π)/3502 weeks
212.04121 -.07549 (212*2π)/3502 weeks
213.08118 .03001 (213*2π)/3502 weeks
214-.06368 -.01072 (214*2π)/3502 weeks
215.07318 -.03726 (215*2π)/3502 weeks
216-.04934 .01472 (216*2π)/3502 weeks
217-.02646 -.04445 (217*2π)/3502 weeks
218.20876 -.00797 (218*2π)/3502 weeks
219-.08625 .05153 (219*2π)/3502 weeks
220-.13918 .01396 (220*2π)/3502 weeks
221-.096 -.01317 (221*2π)/3502 weeks
222.03357 -.1424 (222*2π)/3502 weeks
223.01484 .02877 (223*2π)/3502 weeks
224-.09671 -.03993 (224*2π)/3502 weeks
225.07562 -.09513 (225*2π)/3502 weeks
226.00089 -.04546 (226*2π)/3502 weeks
227-.01709 .00773 (227*2π)/3502 weeks
228.03274 -.06176 (228*2π)/3502 weeks
229.04002 .01735 (229*2π)/3502 weeks
230-.06361 .01917 (230*2π)/3502 weeks
231-.03483 -.02794 (231*2π)/3502 weeks
232.04908 .0017 (232*2π)/3502 weeks
233-.21332 .11775 (233*2π)/3502 weeks
234-.15309 -.21223 (234*2π)/3501 weeks
235.06809 -.15705 (235*2π)/3501 weeks
236.05911 .07811 (236*2π)/3501 weeks
237-.15824 -.20678 (237*2π)/3501 weeks
238.00799 -.12058 (238*2π)/3501 weeks
239.16721 -.1784 (239*2π)/3501 weeks
240-.01961 .22565 (240*2π)/3501 weeks
241-.10616 -.24894 (241*2π)/3501 weeks
242.29362 -.12124 (242*2π)/3501 weeks
243-.12766 .13401 (243*2π)/3501 weeks
244-.20826 -.17103 (244*2π)/3501 weeks
245.21041 -.16806 (245*2π)/3501 weeks
246-.08013 .10439 (246*2π)/3501 weeks
247-.13506 -.12488 (247*2π)/3501 weeks
248.25243 -.06672 (248*2π)/3501 weeks
249-.0892 .07755 (249*2π)/3501 weeks
250-.18238 -.15317 (250*2π)/3501 weeks
251.04497 -.20949 (251*2π)/3501 weeks
252.14784 .02589 (252*2π)/3501 weeks
253-.11048 -.03133 (253*2π)/3501 weeks
254-.00191 -.23979 (254*2π)/3501 weeks
255.06458 -.08221 (255*2π)/3501 weeks
256.04629 -.18309 (256*2π)/3501 weeks
257.08595 -.17358 (257*2π)/3501 weeks
258.13671 .1331 (258*2π)/3501 weeks
259-.10204 -.11778 (259*2π)/3501 weeks
260.15244 -.20053 (260*2π)/3501 weeks
261.22063 -.06566 (261*2π)/3501 weeks
262.11819 .12046 (262*2π)/3501 weeks
263-.12671 .11214 (263*2π)/3501 weeks
264.05156 -.08555 (264*2π)/3501 weeks
265-.06109 -.17042 (265*2π)/3501 weeks
266.1156 -.12961 (266*2π)/3501 weeks
267.00634 -.01577 (267*2π)/3501 weeks
268-.009 .07469 (268*2π)/3501 weeks
269-.11213 -.22406 (269*2π)/3501 weeks
270.06445 -.11997 (270*2π)/3501 weeks
271.17175 -.0865 (271*2π)/3501 weeks
272.11421 .04553 (272*2π)/3501 weeks
273-.17806 -.1549 (273*2π)/3501 weeks
274.21145 -.17139 (274*2π)/3501 weeks
275.05656 -.04209 (275*2π)/3501 weeks
276-.00509 .03473 (276*2π)/3501 weeks
277.05971 -.17364 (277*2π)/3501 weeks
278.02122 -.2008 (278*2π)/3501 weeks
279.0355 -.09272 (279*2π)/3501 weeks
280.01951 -.03782 (280*2π)/3501 weeks
281-.07658 .00732 (281*2π)/3501 weeks
282.10376 -.42371 (282*2π)/3501 weeks
283.18922 .05299 (283*2π)/3501 weeks
284-.21661 -.19532 (284*2π)/3501 weeks
285.2503 -.15399 (285*2π)/3501 weeks
286.1451 .29885 (286*2π)/3501 weeks
287-.2557 -.3025 (287*2π)/3501 weeks
288.1231 -.16732 (288*2π)/3501 weeks
289.02973 -.19564 (289*2π)/3501 weeks
290.13904 .05739 (290*2π)/3501 weeks
291-.15439 -.05928 (291*2π)/3501 weeks
292.00882 -.26591 (292*2π)/3501 weeks
293.26239 .34288 (293*2π)/3501 weeks
294-.14245 -.26941 (294*2π)/3501 weeks
295.04248 -.18257 (295*2π)/3501 weeks
296.02293 .24996 (296*2π)/3501 weeks
297-.17888 .02846 (297*2π)/3501 weeks
298-.41299 -.3659 (298*2π)/3501 weeks
299.3538 -.06982 (299*2π)/3501 weeks
300-.31696 .16372 (300*2π)/3501 weeks
301-.43395 -.5549 (301*2π)/3501 weeks
302.35 -.4989 (302*2π)/3501 weeks
303.52107 -.01015 (303*2π)/3501 weeks
304-.27072 -.13479 (304*2π)/3501 weeks
305.20316 -.39596 (305*2π)/3501 weeks
306.25255 .00447 (306*2π)/3501 weeks
307.34158 -.14328 (307*2π)/3501 weeks
308-.08017 -.04199 (308*2π)/3501 weeks
309.19253 -.01779 (309*2π)/3501 weeks
310-.16533 .27916 (310*2π)/3501 weeks
311-.12562 -.25116 (311*2π)/3501 weeks
312.21874 -.12789 (312*2π)/3501 weeks
313-.39157 .14542 (313*2π)/3501 weeks
314-.27554 -.35983 (314*2π)/3501 weeks
315-.20416 -.37974 (315*2π)/3501 weeks
316.24132 -.34672 (316*2π)/3501 weeks
317-.00398 -.32098 (317*2π)/3501 weeks
318.14278 -.35324 (318*2π)/3501 weeks
319.28666 -.57206 (319*2π)/3501 weeks
320.31539 .08028 (320*2π)/3501 weeks
321.18498 -.02831 (321*2π)/3501 weeks
322-.2061 .14777 (322*2π)/3501 weeks
323-.1486 -.25461 (323*2π)/3501 weeks
324.41305 -.18329 (324*2π)/3501 weeks
325-.28124 -.29773 (325*2π)/3501 weeks
326.18871 -.15648 (326*2π)/3501 weeks
327-.00516 -.13266 (327*2π)/3501 weeks
328-.43554 -.32997 (328*2π)/3501 weeks
329.57042 -.89626 (329*2π)/3501 weeks
330.00808 .61104 (330*2π)/3501 weeks
331-1.26648 -.18813 (331*2π)/3501 weeks
332-.13447 -1.2944 (332*2π)/3501 weeks
333.49339 -.70299 (333*2π)/3501 weeks
334.41497 -1.03163 (334*2π)/3501 weeks
335-.24857 -.95375 (335*2π)/3501 weeks
336.54705 -.94932 (336*2π)/3501 weeks
3371.23392 -.03235 (337*2π)/3501 weeks
338-.27424 .52801 (338*2π)/3501 weeks
339-.80081 -.95546 (339*2π)/3501 weeks
3401.12784 .33797 (340*2π)/3501 weeks
341-.92509 -.77093 (341*2π)/3501 weeks
342.35069 -.74881 (342*2π)/3501 weeks
343.63002 -.6182 (343*2π)/3501 weeks
344-2.21641 -.08058 (344*2π)/3501 weeks
345-2.13191 -2.0103 (345*2π)/3501 weeks
3462.67756 -3.52554 (346*2π)/3501 weeks
3472.44818 -.09067 (347*2π)/3501 weeks
348-3.17138 -.27791 (348*2π)/3501 weeks