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Fourier Analysis of AMRS (Amyris Inc)


AMRS (Amyris Inc) appears to have interesting cyclic behaviour every 32 weeks (8.0985*sine), 16 weeks (7.842*sine), and 17 weeks (7.6003*sine).

AMRS (Amyris Inc) has an average price of 93.78 (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 7/10/2017 for AMRS (Amyris Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
093.78369   0 
181.061 70.74445 (1*2π)/355355 weeks
245.70086 93.00763 (2*2π)/355178 weeks
3-3.69274 72.92931 (3*2π)/355118 weeks
4-18.97265 47.67709 (4*2π)/35589 weeks
5-20.04757 20.07197 (5*2π)/35571 weeks
6-10.92701 14.65932 (6*2π)/35559 weeks
7-7.85357 13.14342 (7*2π)/35551 weeks
8-6.6941 11.23548 (8*2π)/35544 weeks
9-6.46674 9.42021 (9*2π)/35539 weeks
10-2.32521 3.76828 (10*2π)/35536 weeks
11-3.38548 8.09849 (11*2π)/35532 weeks
12-2.57269 5.4869 (12*2π)/35530 weeks
13-7.44896 3.22801 (13*2π)/35527 weeks
14-2.20983 -.18101 (14*2π)/35525 weeks
15.09915 1.10981 (15*2π)/35524 weeks
16-.00936 .09642 (16*2π)/35522 weeks
171.54472 .30047 (17*2π)/35521 weeks
184.109 .17504 (18*2π)/35520 weeks
195.69845 2.4035 (19*2π)/35519 weeks
205.79154 4.54359 (20*2π)/35518 weeks
214.39362 7.60025 (21*2π)/35517 weeks
22.09616 7.84203 (22*2π)/35516 weeks
23-1.38709 5.90228 (23*2π)/35515 weeks
24-2.58707 2.74877 (24*2π)/35515 weeks
25-.75977 .66808 (25*2π)/35514 weeks
262.70366 .99135 (26*2π)/35514 weeks
274.232 2.84496 (27*2π)/35513 weeks
281.12194 5.93097 (28*2π)/35513 weeks
29-.26618 3.62903 (29*2π)/35512 weeks
30-1.15617 2.43744 (30*2π)/35512 weeks
311.4778 1.11957 (31*2π)/35511 weeks
32.61314 3.07609 (32*2π)/35511 weeks
33.72348 3.26496 (33*2π)/35511 weeks
34-.79689 2.78226 (34*2π)/35510 weeks
35-.13198 1.07918 (35*2π)/35510 weeks
36.1896 1.64865 (36*2π)/35510 weeks
37.86499 1.30511 (37*2π)/35510 weeks
38.76474 1.9898 (38*2π)/3559 weeks
39.30175 .81635 (39*2π)/3559 weeks
40.60246 1.15089 (40*2π)/3559 weeks
41.60317 .19399 (41*2π)/3559 weeks
421.77971 1.53397 (42*2π)/3558 weeks
431.73417 .53255 (43*2π)/3558 weeks
442.46895 1.96116 (44*2π)/3558 weeks
451.77607 2.2993 (45*2π)/3558 weeks
461.64563 2.64031 (46*2π)/3558 weeks
47.47728 2.30297 (47*2π)/3558 weeks
48.77623 2.29011 (48*2π)/3557 weeks
49.63646 1.13482 (49*2π)/3557 weeks
501.28469 1.34158 (50*2π)/3557 weeks
512.04772 2.32676 (51*2π)/3557 weeks
52.88418 3.22786 (52*2π)/3557 weeks
53-.40616 2.7129 (53*2π)/3557 weeks
54.095 1.30343 (54*2π)/3557 weeks
55.12277 1.01578 (55*2π)/3556 weeks
56.7876 1.3504 (56*2π)/3556 weeks
57.76757 1.47031 (57*2π)/3556 weeks
58.29557 1.56542 (58*2π)/3556 weeks
59-.42046 1.33537 (59*2π)/3556 weeks
60-.22376 1.06571 (60*2π)/3556 weeks
61.37267 -.22086 (61*2π)/3556 weeks
621.40118 .07256 (62*2π)/3556 weeks
631.98782 1.11782 (63*2π)/3556 weeks
641.27569 1.72118 (64*2π)/3556 weeks
651.21702 1.60188 (65*2π)/3555 weeks
66.29864 2.16456 (66*2π)/3555 weeks
67-.39679 .8518 (67*2π)/3555 weeks
68.10376 -.27429 (68*2π)/3555 weeks
691.6798 -.0995 (69*2π)/3555 weeks
701.64079 1.51354 (70*2π)/3555 weeks
711.00445 1.53639 (71*2π)/3555 weeks
72.73571 1.97568 (72*2π)/3555 weeks
73.13762 .48224 (73*2π)/3555 weeks
74.90873 .78358 (74*2π)/3555 weeks
751.35426 .23885 (75*2π)/3555 weeks
761.7076 1.4942 (76*2π)/3555 weeks
771.5132 1.71399 (77*2π)/3555 weeks
78.60865 2.66575 (78*2π)/3555 weeks
79-.90413 1.66082 (79*2π)/3554 weeks
80-.17068 .47196 (80*2π)/3554 weeks
81.29682 -.01268 (81*2π)/3554 weeks
821.46746 .8867 (82*2π)/3554 weeks
831.13917 1.18271 (83*2π)/3554 weeks
84.63599 1.88206 (84*2π)/3554 weeks
85-.45362 .67289 (85*2π)/3554 weeks
86.36346 .91795 (86*2π)/3554 weeks
87.38168 .92591 (87*2π)/3554 weeks
88.1562 .5723 (88*2π)/3554 weeks
89.4994 .22357 (89*2π)/3554 weeks
90.60827 1.17217 (90*2π)/3554 weeks
91.2603 1.13525 (91*2π)/3554 weeks
92-.1291 .45513 (92*2π)/3554 weeks
93-.13164 .12524 (93*2π)/3554 weeks
94.3427 -.32032 (94*2π)/3554 weeks
95.97711 -.18243 (95*2π)/3554 weeks
961.20582 .13057 (96*2π)/3554 weeks
971.3821 1.09778 (97*2π)/3554 weeks
98.35363 .86156 (98*2π)/3554 weeks
99.14309 .83672 (99*2π)/3554 weeks
100-.05815 -.40402 (100*2π)/3554 weeks
1011.33876 -.36225 (101*2π)/3554 weeks
1021.46405 .17507 (102*2π)/3553 weeks
1031.37668 1.10866 (103*2π)/3553 weeks
104.13995 .94896 (104*2π)/3553 weeks
105.01619 .58077 (105*2π)/3553 weeks
106.01438 -.21612 (106*2π)/3553 weeks
1071.03373 -.34787 (107*2π)/3553 weeks
108.92198 .07907 (108*2π)/3553 weeks
1091.04652 .25257 (109*2π)/3553 weeks
110.85373 .42385 (110*2π)/3553 weeks
111.76344 .21013 (111*2π)/3553 weeks
112.58044 -.23857 (112*2π)/3553 weeks
1131.16422 -.62104 (113*2π)/3553 weeks
1141.84799 .07371 (114*2π)/3553 weeks
1151.65879 .16079 (115*2π)/3553 weeks
1161.95148 .98663 (116*2π)/3553 weeks
1171.55688 1.31859 (117*2π)/3553 weeks
118.56057 1.60074 (118*2π)/3553 weeks
119.46332 .22071 (119*2π)/3553 weeks
1201.40132 .58897 (120*2π)/3553 weeks
1211.31285 1.07402 (121*2π)/3553 weeks
1221.14808 1.50754 (122*2π)/3553 weeks
123.19903 1.93548 (123*2π)/3553 weeks
124-.56816 1.26527 (124*2π)/3553 weeks
125-.63417 .27584 (125*2π)/3553 weeks
126.22764 -.12295 (126*2π)/3553 weeks
127.2023 -.03388 (127*2π)/3553 weeks
128.75333 .1765 (128*2π)/3553 weeks
129.19861 .23939 (129*2π)/3553 weeks
130.00483 -.17152 (130*2π)/3553 weeks
131.59554 -1.07884 (131*2π)/3553 weeks
1321.39532 -.55157 (132*2π)/3553 weeks
1331.50391 .26151 (133*2π)/3553 weeks
1341.15534 .45619 (134*2π)/3553 weeks
135.74247 .46639 (135*2π)/3553 weeks
136.79569 .27645 (136*2π)/3553 weeks
137.79545 .1861 (137*2π)/3553 weeks
138.85819 .20955 (138*2π)/3553 weeks
139.80679 .17961 (139*2π)/3553 weeks
1401.02101 .02515 (140*2π)/3553 weeks
1411.37884 .47362 (141*2π)/3553 weeks
142.99721 .96724 (142*2π)/3553 weeks
143.5224 .75206 (143*2π)/3552 weeks
144.28796 .496 (144*2π)/3552 weeks
145.64818 .39079 (145*2π)/3552 weeks
146.2843 .12319 (146*2π)/3552 weeks
147.64993 .33533 (147*2π)/3552 weeks
148.73345 .35924 (148*2π)/3552 weeks
149.3648 .14341 (149*2π)/3552 weeks
150.48809 .17475 (150*2π)/3552 weeks
1511.07336 -.19987 (151*2π)/3552 weeks
152.68308 .67816 (152*2π)/3552 weeks
153.76617 .49939 (153*2π)/3552 weeks
154-.11713 .4385 (154*2π)/3552 weeks
155.45222 -.37623 (155*2π)/3552 weeks
156.58154 -.07318 (156*2π)/3552 weeks
157.83835 -.44645 (157*2π)/3552 weeks
158.80271 .3569 (158*2π)/3552 weeks
159.7315 .15623 (159*2π)/3552 weeks
160.35854 .24645 (160*2π)/3552 weeks
161.43172 -.14576 (161*2π)/3552 weeks
162.31593 .01574 (162*2π)/3552 weeks
163.45189 -.4921 (163*2π)/3552 weeks
164.76421 -.27176 (164*2π)/3552 weeks
165.87167 -.18857 (165*2π)/3552 weeks
166.52835 -.19324 (166*2π)/3552 weeks
167.66905 -.2769 (167*2π)/3552 weeks
168.92079 -.49098 (168*2π)/3552 weeks
1691.13356 -.34647 (169*2π)/3552 weeks
1701.01948 -.11698 (170*2π)/3552 weeks
1711.13156 -.1518 (171*2π)/3552 weeks
1721.11988 .22413 (172*2π)/3552 weeks
173.72968 .22583 (173*2π)/3552 weeks
174.46142 -.04658 (174*2π)/3552 weeks
175.55673 -.40564 (175*2π)/3552 weeks
1761.15978 -.86066 (176*2π)/3552 weeks
1771.75861 -.411 (177*2π)/3552 weeks
1781.75861 .411 (178*2π)/3552 weeks
1791.15978 .86066 (179*2π)/3552 weeks
180.55673 .40564 (180*2π)/3552 weeks
181.46142 .04658 (181*2π)/3552 weeks
182.72968 -.22583 (182*2π)/3552 weeks
1831.11988 -.22413 (183*2π)/3552 weeks
1841.13156 .1518 (184*2π)/3552 weeks
1851.01948 .11698 (185*2π)/3552 weeks
1861.13356 .34647 (186*2π)/3552 weeks
187.92079 .49098 (187*2π)/3552 weeks
188.66905 .2769 (188*2π)/3552 weeks
189.52835 .19324 (189*2π)/3552 weeks
190.87167 .18857 (190*2π)/3552 weeks
191.76421 .27176 (191*2π)/3552 weeks
192.45189 .4921 (192*2π)/3552 weeks
193.31593 -.01574 (193*2π)/3552 weeks
194.43172 .14576 (194*2π)/3552 weeks
195.35854 -.24645 (195*2π)/3552 weeks
196.7315 -.15623 (196*2π)/3552 weeks
197.80271 -.3569 (197*2π)/3552 weeks
198.83835 .44645 (198*2π)/3552 weeks
199.58154 .07318 (199*2π)/3552 weeks
200.45222 .37623 (200*2π)/3552 weeks
201-.11713 -.4385 (201*2π)/3552 weeks
202.76617 -.49939 (202*2π)/3552 weeks
203.68308 -.67816 (203*2π)/3552 weeks
2041.07336 .19987 (204*2π)/3552 weeks
205.48809 -.17475 (205*2π)/3552 weeks
206.3648 -.14341 (206*2π)/3552 weeks
207.73345 -.35924 (207*2π)/3552 weeks
208.64993 -.33533 (208*2π)/3552 weeks
209.2843 -.12319 (209*2π)/3552 weeks
210.64818 -.39079 (210*2π)/3552 weeks
211.28796 -.496 (211*2π)/3552 weeks
212.5224 -.75206 (212*2π)/3552 weeks
213.99721 -.96724 (213*2π)/3552 weeks
2141.37884 -.47362 (214*2π)/3552 weeks
2151.02101 -.02515 (215*2π)/3552 weeks
216.80679 -.17961 (216*2π)/3552 weeks
217.85819 -.20955 (217*2π)/3552 weeks
218.79545 -.1861 (218*2π)/3552 weeks
219.79569 -.27645 (219*2π)/3552 weeks
220.74247 -.46639 (220*2π)/3552 weeks
2211.15534 -.45619 (221*2π)/3552 weeks
2221.50391 -.26151 (222*2π)/3552 weeks
2231.39532 .55157 (223*2π)/3552 weeks
224.59554 1.07884 (224*2π)/3552 weeks
225.00483 .17152 (225*2π)/3552 weeks
226.19861 -.23939 (226*2π)/3552 weeks
227.75333 -.1765 (227*2π)/3552 weeks
228.2023 .03388 (228*2π)/3552 weeks
229.22764 .12295 (229*2π)/3552 weeks
230-.63417 -.27584 (230*2π)/3552 weeks
231-.56816 -1.26527 (231*2π)/3552 weeks
232.19903 -1.93548 (232*2π)/3552 weeks
2331.14808 -1.50754 (233*2π)/3552 weeks
2341.31285 -1.07402 (234*2π)/3552 weeks
2351.40132 -.58897 (235*2π)/3552 weeks
236.46332 -.22071 (236*2π)/3552 weeks
237.56057 -1.60074 (237*2π)/3551 weeks
2381.55688 -1.31859 (238*2π)/3551 weeks
2391.95148 -.98663 (239*2π)/3551 weeks
2401.65879 -.16079 (240*2π)/3551 weeks
2411.84799 -.07371 (241*2π)/3551 weeks
2421.16422 .62104 (242*2π)/3551 weeks
243.58044 .23857 (243*2π)/3551 weeks
244.76344 -.21013 (244*2π)/3551 weeks
245.85373 -.42385 (245*2π)/3551 weeks
2461.04652 -.25257 (246*2π)/3551 weeks
247.92198 -.07907 (247*2π)/3551 weeks
2481.03373 .34787 (248*2π)/3551 weeks
249.01438 .21612 (249*2π)/3551 weeks
250.01619 -.58077 (250*2π)/3551 weeks
251.13995 -.94896 (251*2π)/3551 weeks
2521.37668 -1.10866 (252*2π)/3551 weeks
2531.46405 -.17507 (253*2π)/3551 weeks
2541.33876 .36225 (254*2π)/3551 weeks
255-.05815 .40402 (255*2π)/3551 weeks
256.14309 -.83672 (256*2π)/3551 weeks
257.35363 -.86156 (257*2π)/3551 weeks
2581.3821 -1.09778 (258*2π)/3551 weeks
2591.20582 -.13057 (259*2π)/3551 weeks
260.97711 .18243 (260*2π)/3551 weeks
261.3427 .32032 (261*2π)/3551 weeks
262-.13164 -.12524 (262*2π)/3551 weeks
263-.1291 -.45513 (263*2π)/3551 weeks
264.2603 -1.13525 (264*2π)/3551 weeks
265.60827 -1.17217 (265*2π)/3551 weeks
266.4994 -.22357 (266*2π)/3551 weeks
267.1562 -.5723 (267*2π)/3551 weeks
268.38168 -.92591 (268*2π)/3551 weeks
269.36346 -.91795 (269*2π)/3551 weeks
270-.45362 -.67289 (270*2π)/3551 weeks
271.63599 -1.88206 (271*2π)/3551 weeks
2721.13917 -1.18271 (272*2π)/3551 weeks
2731.46746 -.8867 (273*2π)/3551 weeks
274.29682 .01268 (274*2π)/3551 weeks
275-.17068 -.47196 (275*2π)/3551 weeks
276-.90413 -1.66082 (276*2π)/3551 weeks
277.60865 -2.66575 (277*2π)/3551 weeks
2781.5132 -1.71399 (278*2π)/3551 weeks
2791.7076 -1.4942 (279*2π)/3551 weeks
2801.35426 -.23885 (280*2π)/3551 weeks
281.90873 -.78358 (281*2π)/3551 weeks
282.13762 -.48224 (282*2π)/3551 weeks
283.73571 -1.97568 (283*2π)/3551 weeks
2841.00445 -1.53639 (284*2π)/3551 weeks
2851.64079 -1.51354 (285*2π)/3551 weeks
2861.6798 .0995 (286*2π)/3551 weeks
287.10376 .27429 (287*2π)/3551 weeks
288-.39679 -.8518 (288*2π)/3551 weeks
289.29864 -2.16456 (289*2π)/3551 weeks
2901.21702 -1.60188 (290*2π)/3551 weeks
2911.27569 -1.72118 (291*2π)/3551 weeks
2921.98782 -1.11782 (292*2π)/3551 weeks
2931.40118 -.07256 (293*2π)/3551 weeks
294.37267 .22086 (294*2π)/3551 weeks
295-.22376 -1.06571 (295*2π)/3551 weeks
296-.42046 -1.33537 (296*2π)/3551 weeks
297.29557 -1.56542 (297*2π)/3551 weeks
298.76757 -1.47031 (298*2π)/3551 weeks
299.7876 -1.3504 (299*2π)/3551 weeks
300.12277 -1.01578 (300*2π)/3551 weeks
301.095 -1.30343 (301*2π)/3551 weeks
302-.40616 -2.7129 (302*2π)/3551 weeks
303.88418 -3.22786 (303*2π)/3551 weeks
3042.04772 -2.32676 (304*2π)/3551 weeks
3051.28469 -1.34158 (305*2π)/3551 weeks
306.63646 -1.13482 (306*2π)/3551 weeks
307.77623 -2.29011 (307*2π)/3551 weeks
308.47728 -2.30297 (308*2π)/3551 weeks
3091.64563 -2.64031 (309*2π)/3551 weeks
3101.77607 -2.2993 (310*2π)/3551 weeks
3112.46895 -1.96116 (311*2π)/3551 weeks
3121.73417 -.53255 (312*2π)/3551 weeks
3131.77971 -1.53397 (313*2π)/3551 weeks
314.60317 -.19399 (314*2π)/3551 weeks
315.60246 -1.15089 (315*2π)/3551 weeks
316.30175 -.81635 (316*2π)/3551 weeks
317.76474 -1.9898 (317*2π)/3551 weeks
318.86499 -1.30511 (318*2π)/3551 weeks
319.1896 -1.64865 (319*2π)/3551 weeks
320-.13198 -1.07918 (320*2π)/3551 weeks
321-.79689 -2.78226 (321*2π)/3551 weeks
322.72348 -3.26496 (322*2π)/3551 weeks
323.61314 -3.07609 (323*2π)/3551 weeks
3241.4778 -1.11957 (324*2π)/3551 weeks
325-1.15617 -2.43744 (325*2π)/3551 weeks
326-.26618 -3.62903 (326*2π)/3551 weeks
3271.12194 -5.93097 (327*2π)/3551 weeks
3284.232 -2.84496 (328*2π)/3551 weeks
3292.70366 -.99135 (329*2π)/3551 weeks
330-.75977 -.66808 (330*2π)/3551 weeks
331-2.58707 -2.74877 (331*2π)/3551 weeks
332-1.38709 -5.90228 (332*2π)/3551 weeks
333.09616 -7.84203 (333*2π)/3551 weeks
3344.39362 -7.60025 (334*2π)/3551 weeks
3355.79154 -4.54359 (335*2π)/3551 weeks
3365.69845 -2.4035 (336*2π)/3551 weeks
3374.109 -.17504 (337*2π)/3551 weeks
3381.54472 -.30047 (338*2π)/3551 weeks
339-.00936 -.09642 (339*2π)/3551 weeks
340.09915 -1.10981 (340*2π)/3551 weeks
341-2.20983 .18101 (341*2π)/3551 weeks
342-7.44896 -3.22801 (342*2π)/3551 weeks
343-2.57269 -5.4869 (343*2π)/3551 weeks
344-3.38548 -8.09849 (344*2π)/3551 weeks
345-2.32521 -3.76828 (345*2π)/3551 weeks
346-6.46674 -9.42021 (346*2π)/3551 weeks
347-6.6941 -11.23548 (347*2π)/3551 weeks
348-7.85357 -13.14342 (348*2π)/3551 weeks
349-10.92701 -14.65932 (349*2π)/3551 weeks
350-20.04757 -20.07197 (350*2π)/3551 weeks
351-18.97265 -47.67709 (351*2π)/3551 weeks
352-3.69274 -72.92931 (352*2π)/3551 weeks
35345.70086 -93.00763 (353*2π)/3551 weeks



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