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Fourier Analysis of AMRS (Amyris Inc)


AMRS (Amyris Inc) appears to have interesting cyclic behaviour every 17 weeks (7.7636*sine), 32 weeks (7.041*sine), and 38 weeks (7.0181*cosine).

AMRS (Amyris Inc) has an average price of 87.4 (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 1/16/2018 for AMRS (Amyris Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
087.39693   0 
177.4519 67.52113 (1*2π)/382382 weeks
251.0771 84.53584 (2*2π)/382191 weeks
32.47792 74.10749 (3*2π)/382127 weeks
4-14.64932 50.19124 (4*2π)/38296 weeks
5-22.6532 28.02977 (5*2π)/38276 weeks
6-11.0873 15.90821 (6*2π)/38264 weeks
7-6.73561 12.63244 (7*2π)/38255 weeks
8-6.01412 10.54513 (8*2π)/38248 weeks
9-5.96804 8.8536 (9*2π)/38242 weeks
10-7.01813 6.95601 (10*2π)/38238 weeks
11-.78005 4.80961 (11*2π)/38235 weeks
12-3.706 7.041 (12*2π)/38232 weeks
13-2.25442 5.41005 (13*2π)/38229 weeks
14-6.88569 2.85631 (14*2π)/38227 weeks
15-2.19833 -.16982 (15*2π)/38225 weeks
16.16261 .7973 (16*2π)/38224 weeks
17-.24614 .49644 (17*2π)/38222 weeks
181.57968 .26908 (18*2π)/38221 weeks
193.02472 -.4694 (19*2π)/38220 weeks
204.88508 .98809 (20*2π)/38219 weeks
215.19478 3.13134 (21*2π)/38218 weeks
225.10225 5.39556 (22*2π)/38217 weeks
232.63093 7.76362 (23*2π)/38217 weeks
24-.61537 6.47976 (24*2π)/38216 weeks
25-1.7852 5.14361 (25*2π)/38215 weeks
26-2.13349 2.0245 (26*2π)/38215 weeks
27-.52147 .40498 (27*2π)/38214 weeks
282.54913 .95892 (28*2π)/38214 weeks
293.87313 2.38038 (29*2π)/38213 weeks
301.55559 5.49085 (30*2π)/38213 weeks
31-.45843 3.50561 (31*2π)/38212 weeks
32-.99961 2.93408 (32*2π)/38212 weeks
33.1418 .80221 (33*2π)/38212 weeks
341.42932 2.92731 (34*2π)/38211 weeks
35.74839 2.5229 (35*2π)/38211 weeks
36-.03619 3.17648 (36*2π)/38211 weeks
37-.89407 1.89592 (37*2π)/38210 weeks
38.37791 1.17014 (38*2π)/38210 weeks
39.13735 1.30931 (39*2π)/38210 weeks
40.85983 1.34977 (40*2π)/38210 weeks
41.6115 1.92265 (41*2π)/3829 weeks
42.3691 .73941 (42*2π)/3829 weeks
43.58714 1.07191 (43*2π)/3829 weeks
44.43002 .37985 (44*2π)/3829 weeks
451.98264 1.12557 (45*2π)/3828 weeks
461.22799 .62476 (46*2π)/3828 weeks
472.48913 1.28739 (47*2π)/3828 weeks
481.84129 2.04764 (48*2π)/3828 weeks
491.58306 2.10371 (49*2π)/3828 weeks
50.96854 2.64879 (50*2π)/3828 weeks
51.67979 1.74179 (51*2π)/3827 weeks
52.29016 1.96035 (52*2π)/3827 weeks
53.91353 1.05029 (53*2π)/3827 weeks
541.32671 1.19402 (54*2π)/3827 weeks
551.81519 2.32118 (55*2π)/3827 weeks
56.75375 3.00008 (56*2π)/3827 weeks
57-.33499 2.54831 (57*2π)/3827 weeks
58-.02591 1.15489 (58*2π)/3827 weeks
59-.00926 1.07181 (59*2π)/3826 weeks
60.71138 1.07626 (60*2π)/3826 weeks
61.57546 1.27868 (61*2π)/3826 weeks
62.35095 1.65005 (62*2π)/3826 weeks
63.10715 1.67445 (63*2π)/3826 weeks
64-.00915 .80419 (64*2π)/3826 weeks
65-.42435 .36209 (65*2π)/3826 weeks
66.72453 -.18549 (66*2π)/3826 weeks
671.49112 .1835 (67*2π)/3826 weeks
681.71242 1.25354 (68*2π)/3826 weeks
691.07497 1.6038 (69*2π)/3826 weeks
701.13168 1.54125 (70*2π)/3825 weeks
71.29917 2.01686 (71*2π)/3825 weeks
72-.42632 .88782 (72*2π)/3825 weeks
73-.12892 -.0393 (73*2π)/3825 weeks
741.25595 -.20821 (74*2π)/3825 weeks
751.92395 1.13467 (75*2π)/3825 weeks
761.15929 1.43698 (76*2π)/3825 weeks
771.02746 1.38344 (77*2π)/3825 weeks
78-.15455 1.35992 (78*2π)/3825 weeks
79.68504 .37078 (79*2π)/3825 weeks
80.68612 .63806 (80*2π)/3825 weeks
811.64558 .45069 (81*2π)/3825 weeks
821.42765 1.46261 (82*2π)/3825 weeks
831.42303 1.71636 (83*2π)/3825 weeks
84.46451 2.48215 (84*2π)/3825 weeks
85-.83637 1.55862 (85*2π)/3824 weeks
86-.20838 .45036 (86*2π)/3824 weeks
87.15107 .10856 (87*2π)/3824 weeks
881.41531 .43211 (88*2π)/3824 weeks
89.97034 .97985 (89*2π)/3824 weeks
90.85031 1.51392 (90*2π)/3824 weeks
91-.37133 1.55971 (91*2π)/3824 weeks
92.37679 .46544 (92*2π)/3824 weeks
93.26648 .70755 (93*2π)/3824 weeks
94.14437 .8541 (94*2π)/3824 weeks
95.19803 .48545 (95*2π)/3824 weeks
96.71115 .24504 (96*2π)/3824 weeks
97.40042 1.05473 (97*2π)/3824 weeks
98.16382 1.07931 (98*2π)/3824 weeks
99-.11913 .42627 (99*2π)/3824 weeks
100-.12862 .15847 (100*2π)/3824 weeks
101.24078 -.26941 (101*2π)/3824 weeks
102.81775 -.25322 (102*2π)/3824 weeks
1031.06307 .06535 (103*2π)/3824 weeks
1041.44709 .51692 (104*2π)/3824 weeks
105.5 1.0935 (105*2π)/3824 weeks
106.35807 .68044 (106*2π)/3824 weeks
107-.28192 .40854 (107*2π)/3824 weeks
108.38111 -.64891 (108*2π)/3824 weeks
1091.26301 -.01235 (109*2π)/3824 weeks
1101.44656 .34231 (110*2π)/3823 weeks
1111.14345 1.18529 (111*2π)/3823 weeks
112.12371 .79895 (112*2π)/3823 weeks
113-.00012 .53617 (113*2π)/3823 weeks
114-.0195 -.14307 (114*2π)/3823 weeks
115.858 -.40966 (115*2π)/3823 weeks
116.87846 .11644 (116*2π)/3823 weeks
1171.0002 .16806 (117*2π)/3823 weeks
118.90698 .34257 (118*2π)/3823 weeks
119.64655 .22087 (119*2π)/3823 weeks
120.50812 .15507 (120*2π)/3823 weeks
121.76446 -.35574 (121*2π)/3823 weeks
1221.51944 -.48453 (122*2π)/3823 weeks
1231.63928 .23719 (123*2π)/3823 weeks
1241.74425 .14385 (124*2π)/3823 weeks
1251.69695 .97576 (125*2π)/3823 weeks
1261.40572 1.26612 (126*2π)/3823 weeks
127.48465 1.46668 (127*2π)/3823 weeks
128.37237 .24164 (128*2π)/3823 weeks
1291.28334 .45713 (129*2π)/3823 weeks
1301.2467 .92638 (130*2π)/3823 weeks
1311.12182 1.25837 (131*2π)/3823 weeks
132.59883 1.7997 (132*2π)/3823 weeks
133-.29549 1.42575 (133*2π)/3823 weeks
134-.66598 .64608 (134*2π)/3823 weeks
135-.32539 -.16427 (135*2π)/3823 weeks
136.22854 .05449 (136*2π)/3823 weeks
137.28552 -.15505 (137*2π)/3823 weeks
138.55539 .36709 (138*2π)/3823 weeks
139.14481 .19561 (139*2π)/3823 weeks
140-.00923 -.20876 (140*2π)/3823 weeks
141.60736 -1.00234 (141*2π)/3823 weeks
1421.2731 -.52833 (142*2π)/3823 weeks
1431.43688 .18189 (143*2π)/3823 weeks
1441.08955 .40634 (144*2π)/3823 weeks
145.77567 .53004 (145*2π)/3823 weeks
146.71956 .27214 (146*2π)/3823 weeks
147.71494 .23997 (147*2π)/3823 weeks
148.80349 .20299 (148*2π)/3823 weeks
149.81471 .22825 (149*2π)/3823 weeks
150.81789 .09537 (150*2π)/3823 weeks
1511.13822 .04246 (151*2π)/3823 weeks
1521.24746 .5637 (152*2π)/3823 weeks
153.8012 .90182 (153*2π)/3822 weeks
154.47253 .66621 (154*2π)/3822 weeks
155.26012 .42826 (155*2π)/3822 weeks
156.59997 .34879 (156*2π)/3822 weeks
157.2339 .19774 (157*2π)/3822 weeks
158.6861 .26312 (158*2π)/3822 weeks
159.67391 .20207 (159*2π)/3822 weeks
160.33836 .30311 (160*2π)/3822 weeks
161.56018 .09512 (161*2π)/3822 weeks
162.48855 -.22858 (162*2π)/3822 weeks
1631.12552 .36512 (163*2π)/3822 weeks
164.45836 .34666 (164*2π)/3822 weeks
165.4915 .6866 (165*2π)/3822 weeks
166-.19053 .09059 (166*2π)/3822 weeks
167.52358 -.25515 (167*2π)/3822 weeks
168.51008 -.05834 (168*2π)/3822 weeks
169.83955 -.39775 (169*2π)/3822 weeks
170.75583 .33005 (170*2π)/3822 weeks
171.65884 .11689 (171*2π)/3822 weeks
172.38107 .2794 (172*2π)/3822 weeks
173.30437 -.08544 (173*2π)/3822 weeks
174.43176 .05409 (174*2π)/3822 weeks
175.25395 -.3156 (175*2π)/3822 weeks
176.69728 -.38405 (176*2π)/3822 weeks
177.70323 -.26369 (177*2π)/3822 weeks
178.71151 -.01904 (178*2π)/3822 weeks
179.57874 -.30857 (179*2π)/3822 weeks
180.584 -.34343 (180*2π)/3822 weeks
181.89792 -.41146 (181*2π)/3822 weeks
1821.07905 -.27314 (182*2π)/3822 weeks
183.94083 -.11591 (183*2π)/3822 weeks
1841.0513 -.14153 (184*2π)/3822 weeks
1851.06942 .18221 (185*2π)/3822 weeks
186.71863 .22699 (186*2π)/3822 weeks
187.47372 .048 (187*2π)/3822 weeks
188.51765 -.31684 (188*2π)/3822 weeks
189.73076 -.77813 (189*2π)/3822 weeks
1901.41707 -.59473 (190*2π)/3822 weeks
1911.74035   (191*2π)/3822 weeks
1921.41707 .59473 (192*2π)/3822 weeks
193.73076 .77813 (193*2π)/3822 weeks
194.51765 .31684 (194*2π)/3822 weeks
195.47372 -.048 (195*2π)/3822 weeks
196.71863 -.22699 (196*2π)/3822 weeks
1971.06942 -.18221 (197*2π)/3822 weeks
1981.0513 .14153 (198*2π)/3822 weeks
199.94083 .11591 (199*2π)/3822 weeks
2001.07905 .27314 (200*2π)/3822 weeks
201.89792 .41146 (201*2π)/3822 weeks
202.584 .34343 (202*2π)/3822 weeks
203.57874 .30857 (203*2π)/3822 weeks
204.71151 .01904 (204*2π)/3822 weeks
205.70323 .26369 (205*2π)/3822 weeks
206.69728 .38405 (206*2π)/3822 weeks
207.25395 .3156 (207*2π)/3822 weeks
208.43176 -.05409 (208*2π)/3822 weeks
209.30437 .08544 (209*2π)/3822 weeks
210.38107 -.2794 (210*2π)/3822 weeks
211.65884 -.11689 (211*2π)/3822 weeks
212.75583 -.33005 (212*2π)/3822 weeks
213.83955 .39775 (213*2π)/3822 weeks
214.51008 .05834 (214*2π)/3822 weeks
215.52358 .25515 (215*2π)/3822 weeks
216-.19053 -.09059 (216*2π)/3822 weeks
217.4915 -.6866 (217*2π)/3822 weeks
218.45836 -.34666 (218*2π)/3822 weeks
2191.12552 -.36512 (219*2π)/3822 weeks
220.48855 .22858 (220*2π)/3822 weeks
221.56018 -.09512 (221*2π)/3822 weeks
222.33836 -.30311 (222*2π)/3822 weeks
223.67391 -.20207 (223*2π)/3822 weeks
224.6861 -.26312 (224*2π)/3822 weeks
225.2339 -.19774 (225*2π)/3822 weeks
226.59997 -.34879 (226*2π)/3822 weeks
227.26012 -.42826 (227*2π)/3822 weeks
228.47253 -.66621 (228*2π)/3822 weeks
229.8012 -.90182 (229*2π)/3822 weeks
2301.24746 -.5637 (230*2π)/3822 weeks
2311.13822 -.04246 (231*2π)/3822 weeks
232.81789 -.09537 (232*2π)/3822 weeks
233.81471 -.22825 (233*2π)/3822 weeks
234.80349 -.20299 (234*2π)/3822 weeks
235.71494 -.23997 (235*2π)/3822 weeks
236.71956 -.27214 (236*2π)/3822 weeks
237.77567 -.53004 (237*2π)/3822 weeks
2381.08955 -.40634 (238*2π)/3822 weeks
2391.43688 -.18189 (239*2π)/3822 weeks
2401.2731 .52833 (240*2π)/3822 weeks
241.60736 1.00234 (241*2π)/3822 weeks
242-.00923 .20876 (242*2π)/3822 weeks
243.14481 -.19561 (243*2π)/3822 weeks
244.55539 -.36709 (244*2π)/3822 weeks
245.28552 .15505 (245*2π)/3822 weeks
246.22854 -.05449 (246*2π)/3822 weeks
247-.32539 .16427 (247*2π)/3822 weeks
248-.66598 -.64608 (248*2π)/3822 weeks
249-.29549 -1.42575 (249*2π)/3822 weeks
250.59883 -1.7997 (250*2π)/3822 weeks
2511.12182 -1.25837 (251*2π)/3822 weeks
2521.2467 -.92638 (252*2π)/3822 weeks
2531.28334 -.45713 (253*2π)/3822 weeks
254.37237 -.24164 (254*2π)/3822 weeks
255.48465 -1.46668 (255*2π)/3821 weeks
2561.40572 -1.26612 (256*2π)/3821 weeks
2571.69695 -.97576 (257*2π)/3821 weeks
2581.74425 -.14385 (258*2π)/3821 weeks
2591.63928 -.23719 (259*2π)/3821 weeks
2601.51944 .48453 (260*2π)/3821 weeks
261.76446 .35574 (261*2π)/3821 weeks
262.50812 -.15507 (262*2π)/3821 weeks
263.64655 -.22087 (263*2π)/3821 weeks
264.90698 -.34257 (264*2π)/3821 weeks
2651.0002 -.16806 (265*2π)/3821 weeks
266.87846 -.11644 (266*2π)/3821 weeks
267.858 .40966 (267*2π)/3821 weeks
268-.0195 .14307 (268*2π)/3821 weeks
269-.00012 -.53617 (269*2π)/3821 weeks
270.12371 -.79895 (270*2π)/3821 weeks
2711.14345 -1.18529 (271*2π)/3821 weeks
2721.44656 -.34231 (272*2π)/3821 weeks
2731.26301 .01235 (273*2π)/3821 weeks
274.38111 .64891 (274*2π)/3821 weeks
275-.28192 -.40854 (275*2π)/3821 weeks
276.35807 -.68044 (276*2π)/3821 weeks
277.5 -1.0935 (277*2π)/3821 weeks
2781.44709 -.51692 (278*2π)/3821 weeks
2791.06307 -.06535 (279*2π)/3821 weeks
280.81775 .25322 (280*2π)/3821 weeks
281.24078 .26941 (281*2π)/3821 weeks
282-.12862 -.15847 (282*2π)/3821 weeks
283-.11913 -.42627 (283*2π)/3821 weeks
284.16382 -1.07931 (284*2π)/3821 weeks
285.40042 -1.05473 (285*2π)/3821 weeks
286.71115 -.24504 (286*2π)/3821 weeks
287.19803 -.48545 (287*2π)/3821 weeks
288.14437 -.8541 (288*2π)/3821 weeks
289.26648 -.70755 (289*2π)/3821 weeks
290.37679 -.46544 (290*2π)/3821 weeks
291-.37133 -1.55971 (291*2π)/3821 weeks
292.85031 -1.51392 (292*2π)/3821 weeks
293.97034 -.97985 (293*2π)/3821 weeks
2941.41531 -.43211 (294*2π)/3821 weeks
295.15107 -.10856 (295*2π)/3821 weeks
296-.20838 -.45036 (296*2π)/3821 weeks
297-.83637 -1.55862 (297*2π)/3821 weeks
298.46451 -2.48215 (298*2π)/3821 weeks
2991.42303 -1.71636 (299*2π)/3821 weeks
3001.42765 -1.46261 (300*2π)/3821 weeks
3011.64558 -.45069 (301*2π)/3821 weeks
302.68612 -.63806 (302*2π)/3821 weeks
303.68504 -.37078 (303*2π)/3821 weeks
304-.15455 -1.35992 (304*2π)/3821 weeks
3051.02746 -1.38344 (305*2π)/3821 weeks
3061.15929 -1.43698 (306*2π)/3821 weeks
3071.92395 -1.13467 (307*2π)/3821 weeks
3081.25595 .20821 (308*2π)/3821 weeks
309-.12892 .0393 (309*2π)/3821 weeks
310-.42632 -.88782 (310*2π)/3821 weeks
311.29917 -2.01686 (311*2π)/3821 weeks
3121.13168 -1.54125 (312*2π)/3821 weeks
3131.07497 -1.6038 (313*2π)/3821 weeks
3141.71242 -1.25354 (314*2π)/3821 weeks
3151.49112 -.1835 (315*2π)/3821 weeks
316.72453 .18549 (316*2π)/3821 weeks
317-.42435 -.36209 (317*2π)/3821 weeks
318-.00915 -.80419 (318*2π)/3821 weeks
319.10715 -1.67445 (319*2π)/3821 weeks
320.35095 -1.65005 (320*2π)/3821 weeks
321.57546 -1.27868 (321*2π)/3821 weeks
322.71138 -1.07626 (322*2π)/3821 weeks
323-.00926 -1.07181 (323*2π)/3821 weeks
324-.02591 -1.15489 (324*2π)/3821 weeks
325-.33499 -2.54831 (325*2π)/3821 weeks
326.75375 -3.00008 (326*2π)/3821 weeks
3271.81519 -2.32118 (327*2π)/3821 weeks
3281.32671 -1.19402 (328*2π)/3821 weeks
329.91353 -1.05029 (329*2π)/3821 weeks
330.29016 -1.96035 (330*2π)/3821 weeks
331.67979 -1.74179 (331*2π)/3821 weeks
332.96854 -2.64879 (332*2π)/3821 weeks
3331.58306 -2.10371 (333*2π)/3821 weeks
3341.84129 -2.04764 (334*2π)/3821 weeks
3352.48913 -1.28739 (335*2π)/3821 weeks
3361.22799 -.62476 (336*2π)/3821 weeks
3371.98264 -1.12557 (337*2π)/3821 weeks
338.43002 -.37985 (338*2π)/3821 weeks
339.58714 -1.07191 (339*2π)/3821 weeks
340.3691 -.73941 (340*2π)/3821 weeks
341.6115 -1.92265 (341*2π)/3821 weeks
342.85983 -1.34977 (342*2π)/3821 weeks
343.13735 -1.30931 (343*2π)/3821 weeks
344.37791 -1.17014 (344*2π)/3821 weeks
345-.89407 -1.89592 (345*2π)/3821 weeks
346-.03619 -3.17648 (346*2π)/3821 weeks
347.74839 -2.5229 (347*2π)/3821 weeks
3481.42932 -2.92731 (348*2π)/3821 weeks
349.1418 -.80221 (349*2π)/3821 weeks
350-.99961 -2.93408 (350*2π)/3821 weeks
351-.45843 -3.50561 (351*2π)/3821 weeks
3521.55559 -5.49085 (352*2π)/3821 weeks
3533.87313 -2.38038 (353*2π)/3821 weeks
3542.54913 -.95892 (354*2π)/3821 weeks
355-.52147 -.40498 (355*2π)/3821 weeks
356-2.13349 -2.0245 (356*2π)/3821 weeks
357-1.7852 -5.14361 (357*2π)/3821 weeks
358-.61537 -6.47976 (358*2π)/3821 weeks
3592.63093 -7.76362 (359*2π)/3821 weeks
3605.10225 -5.39556 (360*2π)/3821 weeks
3615.19478 -3.13134 (361*2π)/3821 weeks
3624.88508 -.98809 (362*2π)/3821 weeks
3633.02472 .4694 (363*2π)/3821 weeks
3641.57968 -.26908 (364*2π)/3821 weeks
365-.24614 -.49644 (365*2π)/3821 weeks
366.16261 -.7973 (366*2π)/3821 weeks
367-2.19833 .16982 (367*2π)/3821 weeks
368-6.88569 -2.85631 (368*2π)/3821 weeks
369-2.25442 -5.41005 (369*2π)/3821 weeks
370-3.706 -7.041 (370*2π)/3821 weeks
371-.78005 -4.80961 (371*2π)/3821 weeks
372-7.01813 -6.95601 (372*2π)/3821 weeks
373-5.96804 -8.8536 (373*2π)/3821 weeks
374-6.01412 -10.54513 (374*2π)/3821 weeks
375-6.73561 -12.63244 (375*2π)/3821 weeks
376-11.0873 -15.90821 (376*2π)/3821 weeks
377-22.6532 -28.02977 (377*2π)/3821 weeks
378-14.64932 -50.19124 (378*2π)/3821 weeks
3792.47792 -74.10749 (379*2π)/3821 weeks
38051.0771 -84.53584 (380*2π)/3821 weeks



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