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Fourier Analysis of AMRS (Amyris Inc)


AMRS (Amyris Inc) appears to have interesting cyclic behaviour every 17 weeks (8.1289*sine), 32 weeks (7.8889*sine), and 27 weeks (7.1541*cosine).

AMRS (Amyris Inc) has an average price of 94.55 (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 9/28/2010 to 6/19/2017 for AMRS (Amyris Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
094.55489   0 
181.54636 71.15905 (1*2π)/352352 weeks
244.95424 93.92938 (2*2π)/352176 weeks
3-4.35175 72.74956 (3*2π)/352117 weeks
4-19.51473 47.33329 (4*2π)/35288 weeks
5-19.34583 19.46436 (5*2π)/35270 weeks
6-10.68077 14.38723 (6*2π)/35259 weeks
7-7.911 12.90101 (7*2π)/35250 weeks
8-6.87263 11.03166 (8*2π)/35244 weeks
9-6.91088 9.2076 (9*2π)/35239 weeks
10-1.63759 4.25558 (10*2π)/35235 weeks
11-3.83747 7.88894 (11*2π)/35232 weeks
12-2.46998 6.00728 (12*2π)/35229 weeks
13-7.15405 2.00822 (13*2π)/35227 weeks
14-1.85105 -.265 (14*2π)/35225 weeks
15-.01077 1.22111 (15*2π)/35223 weeks
16.34681 -.16586 (16*2π)/35222 weeks
171.60536 .00632 (17*2π)/35221 weeks
184.36996 .40292 (18*2π)/35220 weeks
195.66785 2.83798 (19*2π)/35219 weeks
205.7587 5.07974 (20*2π)/35218 weeks
213.72676 8.12888 (21*2π)/35217 weeks
22-.46066 7.38159 (22*2π)/35216 weeks
23-1.86661 5.6659 (23*2π)/35215 weeks
24-2.25549 2.07805 (24*2π)/35215 weeks
25-.26817 .15075 (25*2π)/35214 weeks
262.73146 1.50695 (26*2π)/35214 weeks
274.2212 4.15469 (27*2π)/35213 weeks
28.12638 5.62057 (28*2π)/35213 weeks
29-.26236 3.75252 (29*2π)/35212 weeks
30-.90755 1.74967 (30*2π)/35212 weeks
312.06173 2.09104 (31*2π)/35211 weeks
32.61223 2.75143 (32*2π)/35211 weeks
33.29617 3.47174 (33*2π)/35211 weeks
34-.96152 2.25064 (34*2π)/35210 weeks
35.39267 1.24058 (35*2π)/35210 weeks
36.16814 1.33712 (36*2π)/35210 weeks
37.91159 1.54525 (37*2π)/35210 weeks
38.22889 2.06794 (38*2π)/3529 weeks
39.8225 1.01296 (39*2π)/3529 weeks
40.61938 1.10813 (40*2π)/3529 weeks
411.6574 .02313 (41*2π)/3529 weeks
421.1849 1.33776 (42*2π)/3528 weeks
432.45546 .81881 (43*2π)/3528 weeks
442.14661 2.20479 (44*2π)/3528 weeks
451.71402 2.29151 (45*2π)/3528 weeks
461.19165 2.90635 (46*2π)/3528 weeks
47.7674 1.91056 (47*2π)/3527 weeks
48.25949 2.01449 (48*2π)/3527 weeks
491.16531 1.24571 (49*2π)/3527 weeks
501.7947 1.38202 (50*2π)/3527 weeks
511.66973 2.8722 (51*2π)/3527 weeks
52.26087 3.07139 (52*2π)/3527 weeks
53-.73406 1.78438 (53*2π)/3527 weeks
54.03218 1.52552 (54*2π)/3527 weeks
55.596 1.01565 (55*2π)/3526 weeks
56.61163 1.47568 (56*2π)/3526 weeks
57.52916 1.84283 (57*2π)/3526 weeks
58.20282 1.82039 (58*2π)/3526 weeks
59.02857 .90102 (59*2π)/3526 weeks
60-.35796 .20585 (60*2π)/3526 weeks
611.00135 -.13656 (61*2π)/3526 weeks
621.88491 .43012 (62*2π)/3526 weeks
631.60935 1.57196 (63*2π)/3526 weeks
64.99723 1.52675 (64*2π)/3526 weeks
65.87145 2.12314 (65*2π)/3525 weeks
66-.49478 1.59223 (66*2π)/3525 weeks
67-.28605 .4087 (67*2π)/3525 weeks
681.13367 -.2965 (68*2π)/3525 weeks
692.199 1.01903 (69*2π)/3525 weeks
701.27874 1.56285 (70*2π)/3525 weeks
711.1299 1.55978 (71*2π)/3525 weeks
72-.21689 1.19024 (72*2π)/3525 weeks
73.92455 .5482 (73*2π)/3525 weeks
74.83271 .41301 (74*2π)/3525 weeks
751.96153 1.09491 (75*2π)/3525 weeks
761.42546 1.586 (76*2π)/3525 weeks
771.17449 2.51059 (77*2π)/3525 weeks
78-.53906 2.31713 (78*2π)/3525 weeks
79-.45914 .59009 (79*2π)/3524 weeks
80.07923 .26038 (80*2π)/3524 weeks
811.47522 .29477 (81*2π)/3524 weeks
821.05127 1.07513 (82*2π)/3524 weeks
83.8868 1.69648 (83*2π)/3524 weeks
84-.57116 1.37331 (84*2π)/3524 weeks
85.51486 .77841 (85*2π)/3524 weeks
86.41765 .80803 (86*2π)/3524 weeks
87.08627 .69507 (87*2π)/3524 weeks
88.2971 .35108 (88*2π)/3524 weeks
89.93179 1.02801 (89*2π)/3524 weeks
90.3988 1.00937 (90*2π)/3524 weeks
91-.23527 .58066 (91*2π)/3524 weeks
92-.14139 .26534 (92*2π)/3524 weeks
93.21957 -.27217 (93*2π)/3524 weeks
94.89153 -.26833 (94*2π)/3524 weeks
951.16631 .09711 (95*2π)/3524 weeks
961.54938 .83622 (96*2π)/3524 weeks
97.3847 .99274 (97*2π)/3524 weeks
98.29177 .83218 (98*2π)/3524 weeks
99-.2133 -.21126 (99*2π)/3524 weeks
1001.20323 -.55395 (100*2π)/3524 weeks
1011.38505 .11536 (101*2π)/3523 weeks
1021.45355 .98558 (102*2π)/3523 weeks
103.17903 1.11968 (103*2π)/3523 weeks
104.0714 .65327 (104*2π)/3523 weeks
105-.02881 -.11274 (105*2π)/3523 weeks
106.96832 -.42732 (106*2π)/3523 weeks
107.93521 .10098 (107*2π)/3523 weeks
1081.06933 .23717 (108*2π)/3523 weeks
109.89552 .4236 (109*2π)/3523 weeks
110.76875 .20094 (110*2π)/3523 weeks
111.55621 -.20197 (111*2π)/3523 weeks
1121.12419 -.61027 (112*2π)/3523 weeks
1131.87026 .04635 (113*2π)/3523 weeks
1141.65629 .17331 (114*2π)/3523 weeks
1151.98532 .98256 (115*2π)/3523 weeks
1161.57583 1.32435 (116*2π)/3523 weeks
117.57066 1.6168 (117*2π)/3523 weeks
118.47552 .21821 (118*2π)/3523 weeks
1191.41496 .60502 (119*2π)/3523 weeks
1201.32092 1.0918 (120*2π)/3523 weeks
1211.14822 1.54066 (121*2π)/3523 weeks
122.14988 1.93363 (122*2π)/3523 weeks
123-.60296 1.23152 (123*2π)/3523 weeks
124-.62528 .2226 (124*2π)/3523 weeks
125.25668 -.08074 (125*2π)/3523 weeks
126.21635 -.06373 (126*2π)/3523 weeks
127.73056 .26773 (127*2π)/3523 weeks
128.18303 .22595 (128*2π)/3523 weeks
129-.00723 -.22325 (129*2π)/3523 weeks
130.7853 -1.06644 (130*2π)/3523 weeks
1311.48767 -.49183 (131*2π)/3523 weeks
1321.46192 .32706 (132*2π)/3523 weeks
1331.15052 .49357 (133*2π)/3523 weeks
134.73837 .40698 (134*2π)/3523 weeks
135.81009 .2789 (135*2π)/3523 weeks
136.83968 .17953 (136*2π)/3523 weeks
137.88544 .21188 (137*2π)/3523 weeks
138.8405 .13394 (138*2π)/3523 weeks
1391.14094 .01508 (139*2π)/3523 weeks
1401.36659 .57995 (140*2π)/3523 weeks
141.86223 .97987 (141*2π)/3522 weeks
142.51062 .70749 (142*2π)/3522 weeks
143.31544 .3415 (143*2π)/3522 weeks
144.58389 .4921 (144*2π)/3522 weeks
145.47331 -.02434 (145*2π)/3522 weeks
146.55941 .2695 (146*2π)/3522 weeks
147.61057 .45705 (147*2π)/3522 weeks
148.47538 .04357 (148*2π)/3522 weeks
149.39691 .00571 (149*2π)/3522 weeks
1501.26041 .12835 (150*2π)/3522 weeks
151.49381 .47697 (151*2π)/3522 weeks
152.58176 .72708 (152*2π)/3522 weeks
153-.19928 .04562 (153*2π)/3522 weeks
154.59578 -.21766 (154*2π)/3522 weeks
155.49003 -.09608 (155*2π)/3522 weeks
1561.1593 -.17393 (156*2π)/3522 weeks
157.62026 .249 (157*2π)/3522 weeks
158.68942 .31201 (158*2π)/3522 weeks
159.29754 .10339 (159*2π)/3522 weeks
160.56419 -.05803 (160*2π)/3522 weeks
161.24134 -.18938 (161*2π)/3522 weeks
162.69336 -.48416 (162*2π)/3522 weeks
163.75603 -.28229 (163*2π)/3522 weeks
164.78919 -.02882 (164*2π)/3522 weeks
165.65681 -.34271 (165*2π)/3522 weeks
166.66022 -.44131 (166*2π)/3522 weeks
1671.00239 -.41952 (167*2π)/3522 weeks
1681.16875 -.17039 (168*2π)/3522 weeks
1691.04197 -.17071 (169*2π)/3522 weeks
1701.23409 -.02179 (170*2π)/3522 weeks
171.93067 .2842 (171*2π)/3522 weeks
172.61618 .14245 (172*2π)/3522 weeks
173.51782 -.29046 (173*2π)/3522 weeks
174.66365 -.74452 (174*2π)/3522 weeks
1751.50318 -.67589 (175*2π)/3522 weeks
1761.89716   (176*2π)/3522 weeks
1771.50318 .67589 (177*2π)/3522 weeks
178.66365 .74452 (178*2π)/3522 weeks
179.51782 .29046 (179*2π)/3522 weeks
180.61618 -.14245 (180*2π)/3522 weeks
181.93067 -.2842 (181*2π)/3522 weeks
1821.23409 .02179 (182*2π)/3522 weeks
1831.04197 .17071 (183*2π)/3522 weeks
1841.16875 .17039 (184*2π)/3522 weeks
1851.00239 .41952 (185*2π)/3522 weeks
186.66022 .44131 (186*2π)/3522 weeks
187.65681 .34271 (187*2π)/3522 weeks
188.78919 .02882 (188*2π)/3522 weeks
189.75603 .28229 (189*2π)/3522 weeks
190.69336 .48416 (190*2π)/3522 weeks
191.24134 .18938 (191*2π)/3522 weeks
192.56419 .05803 (192*2π)/3522 weeks
193.29754 -.10339 (193*2π)/3522 weeks
194.68942 -.31201 (194*2π)/3522 weeks
195.62026 -.249 (195*2π)/3522 weeks
1961.1593 .17393 (196*2π)/3522 weeks
197.49003 .09608 (197*2π)/3522 weeks
198.59578 .21766 (198*2π)/3522 weeks
199-.19928 -.04562 (199*2π)/3522 weeks
200.58176 -.72708 (200*2π)/3522 weeks
201.49381 -.47697 (201*2π)/3522 weeks
2021.26041 -.12835 (202*2π)/3522 weeks
203.39691 -.00571 (203*2π)/3522 weeks
204.47538 -.04357 (204*2π)/3522 weeks
205.61057 -.45705 (205*2π)/3522 weeks
206.55941 -.2695 (206*2π)/3522 weeks
207.47331 .02434 (207*2π)/3522 weeks
208.58389 -.4921 (208*2π)/3522 weeks
209.31544 -.3415 (209*2π)/3522 weeks
210.51062 -.70749 (210*2π)/3522 weeks
211.86223 -.97987 (211*2π)/3522 weeks
2121.36659 -.57995 (212*2π)/3522 weeks
2131.14094 -.01508 (213*2π)/3522 weeks
214.8405 -.13394 (214*2π)/3522 weeks
215.88544 -.21188 (215*2π)/3522 weeks
216.83968 -.17953 (216*2π)/3522 weeks
217.81009 -.2789 (217*2π)/3522 weeks
218.73837 -.40698 (218*2π)/3522 weeks
2191.15052 -.49357 (219*2π)/3522 weeks
2201.46192 -.32706 (220*2π)/3522 weeks
2211.48767 .49183 (221*2π)/3522 weeks
222.7853 1.06644 (222*2π)/3522 weeks
223-.00723 .22325 (223*2π)/3522 weeks
224.18303 -.22595 (224*2π)/3522 weeks
225.73056 -.26773 (225*2π)/3522 weeks
226.21635 .06373 (226*2π)/3522 weeks
227.25668 .08074 (227*2π)/3522 weeks
228-.62528 -.2226 (228*2π)/3522 weeks
229-.60296 -1.23152 (229*2π)/3522 weeks
230.14988 -1.93363 (230*2π)/3522 weeks
2311.14822 -1.54066 (231*2π)/3522 weeks
2321.32092 -1.0918 (232*2π)/3522 weeks
2331.41496 -.60502 (233*2π)/3522 weeks
234.47552 -.21821 (234*2π)/3522 weeks
235.57066 -1.6168 (235*2π)/3521 weeks
2361.57583 -1.32435 (236*2π)/3521 weeks
2371.98532 -.98256 (237*2π)/3521 weeks
2381.65629 -.17331 (238*2π)/3521 weeks
2391.87026 -.04635 (239*2π)/3521 weeks
2401.12419 .61027 (240*2π)/3521 weeks
241.55621 .20197 (241*2π)/3521 weeks
242.76875 -.20094 (242*2π)/3521 weeks
243.89552 -.4236 (243*2π)/3521 weeks
2441.06933 -.23717 (244*2π)/3521 weeks
245.93521 -.10098 (245*2π)/3521 weeks
246.96832 .42732 (246*2π)/3521 weeks
247-.02881 .11274 (247*2π)/3521 weeks
248.0714 -.65327 (248*2π)/3521 weeks
249.17903 -1.11968 (249*2π)/3521 weeks
2501.45355 -.98558 (250*2π)/3521 weeks
2511.38505 -.11536 (251*2π)/3521 weeks
2521.20323 .55395 (252*2π)/3521 weeks
253-.2133 .21126 (253*2π)/3521 weeks
254.29177 -.83218 (254*2π)/3521 weeks
255.3847 -.99274 (255*2π)/3521 weeks
2561.54938 -.83622 (256*2π)/3521 weeks
2571.16631 -.09711 (257*2π)/3521 weeks
258.89153 .26833 (258*2π)/3521 weeks
259.21957 .27217 (259*2π)/3521 weeks
260-.14139 -.26534 (260*2π)/3521 weeks
261-.23527 -.58066 (261*2π)/3521 weeks
262.3988 -1.00937 (262*2π)/3521 weeks
263.93179 -1.02801 (263*2π)/3521 weeks
264.2971 -.35108 (264*2π)/3521 weeks
265.08627 -.69507 (265*2π)/3521 weeks
266.41765 -.80803 (266*2π)/3521 weeks
267.51486 -.77841 (267*2π)/3521 weeks
268-.57116 -1.37331 (268*2π)/3521 weeks
269.8868 -1.69648 (269*2π)/3521 weeks
2701.05127 -1.07513 (270*2π)/3521 weeks
2711.47522 -.29477 (271*2π)/3521 weeks
272.07923 -.26038 (272*2π)/3521 weeks
273-.45914 -.59009 (273*2π)/3521 weeks
274-.53906 -2.31713 (274*2π)/3521 weeks
2751.17449 -2.51059 (275*2π)/3521 weeks
2761.42546 -1.586 (276*2π)/3521 weeks
2771.96153 -1.09491 (277*2π)/3521 weeks
278.83271 -.41301 (278*2π)/3521 weeks
279.92455 -.5482 (279*2π)/3521 weeks
280-.21689 -1.19024 (280*2π)/3521 weeks
2811.1299 -1.55978 (281*2π)/3521 weeks
2821.27874 -1.56285 (282*2π)/3521 weeks
2832.199 -1.01903 (283*2π)/3521 weeks
2841.13367 .2965 (284*2π)/3521 weeks
285-.28605 -.4087 (285*2π)/3521 weeks
286-.49478 -1.59223 (286*2π)/3521 weeks
287.87145 -2.12314 (287*2π)/3521 weeks
288.99723 -1.52675 (288*2π)/3521 weeks
2891.60935 -1.57196 (289*2π)/3521 weeks
2901.88491 -.43012 (290*2π)/3521 weeks
2911.00135 .13656 (291*2π)/3521 weeks
292-.35796 -.20585 (292*2π)/3521 weeks
293.02857 -.90102 (293*2π)/3521 weeks
294.20282 -1.82039 (294*2π)/3521 weeks
295.52916 -1.84283 (295*2π)/3521 weeks
296.61163 -1.47568 (296*2π)/3521 weeks
297.596 -1.01565 (297*2π)/3521 weeks
298.03218 -1.52552 (298*2π)/3521 weeks
299-.73406 -1.78438 (299*2π)/3521 weeks
300.26087 -3.07139 (300*2π)/3521 weeks
3011.66973 -2.8722 (301*2π)/3521 weeks
3021.7947 -1.38202 (302*2π)/3521 weeks
3031.16531 -1.24571 (303*2π)/3521 weeks
304.25949 -2.01449 (304*2π)/3521 weeks
305.7674 -1.91056 (305*2π)/3521 weeks
3061.19165 -2.90635 (306*2π)/3521 weeks
3071.71402 -2.29151 (307*2π)/3521 weeks
3082.14661 -2.20479 (308*2π)/3521 weeks
3092.45546 -.81881 (309*2π)/3521 weeks
3101.1849 -1.33776 (310*2π)/3521 weeks
3111.6574 -.02313 (311*2π)/3521 weeks
312.61938 -1.10813 (312*2π)/3521 weeks
313.8225 -1.01296 (313*2π)/3521 weeks
314.22889 -2.06794 (314*2π)/3521 weeks
315.91159 -1.54525 (315*2π)/3521 weeks
316.16814 -1.33712 (316*2π)/3521 weeks
317.39267 -1.24058 (317*2π)/3521 weeks
318-.96152 -2.25064 (318*2π)/3521 weeks
319.29617 -3.47174 (319*2π)/3521 weeks
320.61223 -2.75143 (320*2π)/3521 weeks
3212.06173 -2.09104 (321*2π)/3521 weeks
322-.90755 -1.74967 (322*2π)/3521 weeks
323-.26236 -3.75252 (323*2π)/3521 weeks
324.12638 -5.62057 (324*2π)/3521 weeks
3254.2212 -4.15469 (325*2π)/3521 weeks
3262.73146 -1.50695 (326*2π)/3521 weeks
327-.26817 -.15075 (327*2π)/3521 weeks
328-2.25549 -2.07805 (328*2π)/3521 weeks
329-1.86661 -5.6659 (329*2π)/3521 weeks
330-.46066 -7.38159 (330*2π)/3521 weeks
3313.72676 -8.12888 (331*2π)/3521 weeks
3325.7587 -5.07974 (332*2π)/3521 weeks
3335.66785 -2.83798 (333*2π)/3521 weeks
3344.36996 -.40292 (334*2π)/3521 weeks
3351.60536 -.00632 (335*2π)/3521 weeks
336.34681 .16586 (336*2π)/3521 weeks
337-.01077 -1.22111 (337*2π)/3521 weeks
338-1.85105 .265 (338*2π)/3521 weeks
339-7.15405 -2.00822 (339*2π)/3521 weeks
340-2.46998 -6.00728 (340*2π)/3521 weeks
341-3.83747 -7.88894 (341*2π)/3521 weeks
342-1.63759 -4.25558 (342*2π)/3521 weeks
343-6.91088 -9.2076 (343*2π)/3521 weeks
344-6.87263 -11.03166 (344*2π)/3521 weeks
345-7.911 -12.90101 (345*2π)/3521 weeks
346-10.68077 -14.38723 (346*2π)/3521 weeks
347-19.34583 -19.46436 (347*2π)/3521 weeks
348-19.51473 -47.33329 (348*2π)/3521 weeks
349-4.35175 -72.74956 (349*2π)/3521 weeks
35044.95424 -93.92938 (350*2π)/3521 weeks



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