Back to list of Stocks    See Also: Seasonal Analysis of AMRSGenetic Algorithms Stock Portfolio Generator, and Fourier Calculator

Fourier Analysis of AMRS (Amyris Inc)


AMRS (Amyris Inc) appears to have interesting cyclic behaviour every 17 weeks (8.2529*sine), 33 weeks (8.0387*sine), and 28 weeks (6.3434*cosine).

AMRS (Amyris Inc) has an average price of 91.78 (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 9/5/2017 for AMRS (Amyris Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
091.78416   0 
179.84158 69.70337 (1*2π)/363363 weeks
247.52847 90.51978 (2*2π)/363182 weeks
3-1.92483 73.36881 (3*2π)/363121 weeks
4-17.62221 48.51111 (4*2π)/36391 weeks
5-21.59917 22.12198 (5*2π)/36373 weeks
6-11.2581 15.40036 (6*2π)/36361 weeks
7-7.42941 13.53603 (7*2π)/36352 weeks
8-6.11125 11.38607 (8*2π)/36345 weeks
9-5.59254 9.31327 (9*2π)/36340 weeks
10-4.55241 3.45672 (10*2π)/36336 weeks
11-2.0428 8.03867 (11*2π)/36333 weeks
12-3.52339 5.02027 (12*2π)/36330 weeks
13-6.34342 6.21177 (13*2π)/36328 weeks
14-3.15267 -.1806 (14*2π)/36326 weeks
15.0116 .37438 (15*2π)/36324 weeks
16-.30848 .8392 (16*2π)/36323 weeks
171.61097 .14996 (17*2π)/36321 weeks
182.96888 -.53152 (18*2π)/36320 weeks
195.1144 1.04666 (19*2π)/36319 weeks
205.47374 3.38146 (20*2π)/36318 weeks
215.25507 5.959 (21*2π)/36317 weeks
222.10265 8.25291 (22*2π)/36317 weeks
23-.8678 6.35441 (23*2π)/36316 weeks
24-2.43265 4.74512 (24*2π)/36315 weeks
25-1.65547 1.4763 (25*2π)/36315 weeks
26.58603 -.21202 (26*2π)/36314 weeks
272.67788 1.57163 (27*2π)/36313 weeks
283.68726 4.78505 (28*2π)/36313 weeks
29-.2718 5.12822 (29*2π)/36313 weeks
30-.37355 3.68302 (30*2π)/36312 weeks
31-.78572 1.56628 (31*2π)/36312 weeks
322.0019 2.17495 (32*2π)/36311 weeks
33.59047 2.69328 (33*2π)/36311 weeks
34.34019 3.38582 (34*2π)/36311 weeks
35-.91441 2.32864 (35*2π)/36310 weeks
36.26154 1.13843 (36*2π)/36310 weeks
37.13304 1.45551 (37*2π)/36310 weeks
38.89514 1.42615 (38*2π)/36310 weeks
39.56845 2.05962 (39*2π)/3639 weeks
40.54033 .80743 (40*2π)/3639 weeks
41.61433 1.10878 (41*2π)/3639 weeks
42.77407 .07749 (42*2π)/3639 weeks
431.64573 1.54473 (43*2π)/3638 weeks
441.7715 .53281 (44*2π)/3638 weeks
452.424 1.93923 (45*2π)/3638 weeks
461.7616 2.25899 (46*2π)/3638 weeks
471.65018 2.55738 (47*2π)/3638 weeks
48.49699 2.34798 (48*2π)/3638 weeks
49.86636 2.20403 (49*2π)/3637 weeks
50.48954 1.1875 (50*2π)/3637 weeks
511.23094 1.35215 (51*2π)/3637 weeks
522.07835 2.01906 (52*2π)/3637 weeks
531.15278 3.09931 (53*2π)/3637 weeks
54-.11281 2.80347 (54*2π)/3637 weeks
55-.20683 1.22077 (55*2π)/3637 weeks
56-.03043 1.20219 (56*2π)/3636 weeks
57.75043 1.13159 (57*2π)/3636 weeks
58.62795 1.35208 (58*2π)/3636 weeks
59.31935 1.7021 (59*2π)/3636 weeks
60-.07332 1.74845 (60*2π)/3636 weeks
61.08677 .96889 (61*2π)/3636 weeks
62-.19153 .00717 (62*2π)/3636 weeks
631.06059 -.10709 (63*2π)/3636 weeks
641.87787 .48069 (64*2π)/3636 weeks
651.54145 1.52734 (65*2π)/3636 weeks
66.96597 1.4718 (66*2π)/3636 weeks
67.87792 2.0363 (67*2π)/3635 weeks
68-.43324 1.64803 (68*2π)/3635 weeks
69-.2757 .49861 (69*2π)/3635 weeks
70.93548 -.35241 (70*2π)/3635 weeks
712.16065 .63122 (71*2π)/3635 weeks
721.30644 1.47219 (72*2π)/3635 weeks
731.00876 1.37539 (73*2π)/3635 weeks
74-.02111 1.67685 (74*2π)/3635 weeks
75.64176 .36972 (75*2π)/3635 weeks
76.72984 .69301 (76*2π)/3635 weeks
771.76533 .51924 (77*2π)/3635 weeks
781.45541 1.55078 (78*2π)/3635 weeks
791.48203 1.96012 (79*2π)/3635 weeks
80.1933 2.59139 (80*2π)/3635 weeks
81-.88431 1.17498 (81*2π)/3634 weeks
82-.0706 .43605 (82*2π)/3634 weeks
83.53169 -.12361 (83*2π)/3634 weeks
841.28956 1.04717 (84*2π)/3634 weeks
851.11716 1.26446 (85*2π)/3634 weeks
86.48154 1.91252 (86*2π)/3634 weeks
87-.31322 .5255 (87*2π)/3634 weeks
88.32093 .89961 (88*2π)/3634 weeks
89.3568 .92598 (89*2π)/3634 weeks
90.15928 .56245 (90*2π)/3634 weeks
91.48358 .22779 (91*2π)/3634 weeks
92.63417 1.1527 (92*2π)/3634 weeks
93.30355 1.09603 (93*2π)/3634 weeks
94-.15268 .47503 (94*2π)/3634 weeks
95-.13339 .18663 (95*2π)/3634 weeks
96.26947 -.2836 (96*2π)/3634 weeks
97.89956 -.23055 (97*2π)/3634 weeks
981.14261 .10606 (98*2π)/3634 weeks
991.5097 .81483 (99*2π)/3634 weeks
100.3904 .98827 (100*2π)/3634 weeks
101.32464 .79218 (101*2π)/3634 weeks
102-.26882 -.07063 (102*2π)/3634 weeks
103.99829 -.64475 (103*2π)/3634 weeks
1041.27781 .10071 (104*2π)/3633 weeks
1051.47603 .80144 (105*2π)/3633 weeks
106.40575 1.34451 (106*2π)/3633 weeks
107.19819 .69771 (107*2π)/3633 weeks
108-.06002 .12791 (108*2π)/3633 weeks
109.61419 -.54317 (109*2π)/3633 weeks
1101.02461 .09336 (110*2π)/3633 weeks
1111.04711 .10304 (111*2π)/3633 weeks
112.9767 .32313 (112*2π)/3633 weeks
113.67667 .2594 (113*2π)/3633 weeks
114.5518 .17901 (114*2π)/3633 weeks
115.81234 -.37984 (115*2π)/3633 weeks
1161.66489 -.45247 (116*2π)/3633 weeks
1171.67888 .29065 (117*2π)/3633 weeks
1181.99815 .27282 (118*2π)/3633 weeks
1191.68761 1.06313 (119*2π)/3633 weeks
1201.3354 1.47369 (120*2π)/3633 weeks
121.17364 1.15974 (121*2π)/3633 weeks
122.87381 .10211 (122*2π)/3633 weeks
1231.35942 .74737 (123*2π)/3633 weeks
1241.24074 1.13814 (124*2π)/3633 weeks
1251.01935 1.63671 (125*2π)/3633 weeks
126-.05124 1.75934 (126*2π)/3633 weeks
127-.65952 1.03558 (127*2π)/3633 weeks
128-.56235 .08874 (128*2π)/3633 weeks
129.26456 -.02565 (129*2π)/3633 weeks
130.22357 -.0876 (130*2π)/3633 weeks
131.69202 .28924 (131*2π)/3633 weeks
132.17888 .21891 (132*2π)/3633 weeks
133-.00102 -.20161 (133*2π)/3633 weeks
134.66342 -1.05316 (134*2π)/3633 weeks
1351.38191 -.52915 (135*2π)/3633 weeks
1361.47048 .25638 (136*2π)/3633 weeks
1371.13227 .44244 (137*2π)/3633 weeks
138.73574 .47526 (138*2π)/3633 weeks
139.77598 .2722 (139*2π)/3633 weeks
140.76455 .19452 (140*2π)/3633 weeks
141.83445 .21096 (141*2π)/3633 weeks
142.79221 .21159 (142*2π)/3633 weeks
143.94332 .05321 (143*2π)/3633 weeks
1441.36375 .35894 (144*2π)/3633 weeks
1451.11268 .89144 (145*2π)/3633 weeks
146.5555 .8079 (146*2π)/3632 weeks
147.35442 .61527 (147*2π)/3632 weeks
148.5921 .25797 (148*2π)/3632 weeks
149.27825 .37315 (149*2π)/3632 weeks
150.75923 .18364 (150*2π)/3632 weeks
151.67961 .17936 (151*2π)/3632 weeks
152.37295 .34267 (152*2π)/3632 weeks
153.59474 .10399 (153*2π)/3632 weeks
154.57628 -.27341 (154*2π)/3632 weeks
1551.12155 .50305 (155*2π)/3632 weeks
156.56188 .2863 (156*2π)/3632 weeks
157.29884 .73276 (157*2π)/3632 weeks
158-.07915 -.22583 (158*2π)/3632 weeks
159.58181 -.15062 (159*2π)/3632 weeks
160.44301 -.17495 (160*2π)/3632 weeks
1611.14555 -.01535 (161*2π)/3632 weeks
162.58711 .2007 (162*2π)/3632 weeks
163.63879 .32372 (163*2π)/3632 weeks
164.28499 .08903 (164*2π)/3632 weeks
165.54577 -.05402 (165*2π)/3632 weeks
166.23269 -.16245 (166*2π)/3632 weeks
167.63953 -.48123 (167*2π)/3632 weeks
168.72776 -.26262 (168*2π)/3632 weeks
169.81782 -.06314 (169*2π)/3632 weeks
170.57658 -.30554 (170*2π)/3632 weeks
171.61886 -.34107 (171*2π)/3632 weeks
172.94927 -.43255 (172*2π)/3632 weeks
1731.14519 -.26544 (173*2π)/3632 weeks
174.98963 -.13495 (174*2π)/3632 weeks
1751.14281 -.1202 (175*2π)/3632 weeks
1761.04887 .25162 (176*2π)/3632 weeks
177.69221 .20483 (177*2π)/3632 weeks
178.44757 -.08848 (178*2π)/3632 weeks
179.54322 -.42084 (179*2π)/3632 weeks
1801.16696 -.83197 (180*2π)/3632 weeks
1811.72884 -.39411 (181*2π)/3632 weeks
1821.72884 .39411 (182*2π)/3632 weeks
1831.16696 .83197 (183*2π)/3632 weeks
184.54322 .42084 (184*2π)/3632 weeks
185.44757 .08848 (185*2π)/3632 weeks
186.69221 -.20483 (186*2π)/3632 weeks
1871.04887 -.25162 (187*2π)/3632 weeks
1881.14281 .1202 (188*2π)/3632 weeks
189.98963 .13495 (189*2π)/3632 weeks
1901.14519 .26544 (190*2π)/3632 weeks
191.94927 .43255 (191*2π)/3632 weeks
192.61886 .34107 (192*2π)/3632 weeks
193.57658 .30554 (193*2π)/3632 weeks
194.81782 .06314 (194*2π)/3632 weeks
195.72776 .26262 (195*2π)/3632 weeks
196.63953 .48123 (196*2π)/3632 weeks
197.23269 .16245 (197*2π)/3632 weeks
198.54577 .05402 (198*2π)/3632 weeks
199.28499 -.08903 (199*2π)/3632 weeks
200.63879 -.32372 (200*2π)/3632 weeks
201.58711 -.2007 (201*2π)/3632 weeks
2021.14555 .01535 (202*2π)/3632 weeks
203.44301 .17495 (203*2π)/3632 weeks
204.58181 .15062 (204*2π)/3632 weeks
205-.07915 .22583 (205*2π)/3632 weeks
206.29884 -.73276 (206*2π)/3632 weeks
207.56188 -.2863 (207*2π)/3632 weeks
2081.12155 -.50305 (208*2π)/3632 weeks
209.57628 .27341 (209*2π)/3632 weeks
210.59474 -.10399 (210*2π)/3632 weeks
211.37295 -.34267 (211*2π)/3632 weeks
212.67961 -.17936 (212*2π)/3632 weeks
213.75923 -.18364 (213*2π)/3632 weeks
214.27825 -.37315 (214*2π)/3632 weeks
215.5921 -.25797 (215*2π)/3632 weeks
216.35442 -.61527 (216*2π)/3632 weeks
217.5555 -.8079 (217*2π)/3632 weeks
2181.11268 -.89144 (218*2π)/3632 weeks
2191.36375 -.35894 (219*2π)/3632 weeks
220.94332 -.05321 (220*2π)/3632 weeks
221.79221 -.21159 (221*2π)/3632 weeks
222.83445 -.21096 (222*2π)/3632 weeks
223.76455 -.19452 (223*2π)/3632 weeks
224.77598 -.2722 (224*2π)/3632 weeks
225.73574 -.47526 (225*2π)/3632 weeks
2261.13227 -.44244 (226*2π)/3632 weeks
2271.47048 -.25638 (227*2π)/3632 weeks
2281.38191 .52915 (228*2π)/3632 weeks
229.66342 1.05316 (229*2π)/3632 weeks
230-.00102 .20161 (230*2π)/3632 weeks
231.17888 -.21891 (231*2π)/3632 weeks
232.69202 -.28924 (232*2π)/3632 weeks
233.22357 .0876 (233*2π)/3632 weeks
234.26456 .02565 (234*2π)/3632 weeks
235-.56235 -.08874 (235*2π)/3632 weeks
236-.65952 -1.03558 (236*2π)/3632 weeks
237-.05124 -1.75934 (237*2π)/3632 weeks
2381.01935 -1.63671 (238*2π)/3632 weeks
2391.24074 -1.13814 (239*2π)/3632 weeks
2401.35942 -.74737 (240*2π)/3632 weeks
241.87381 -.10211 (241*2π)/3632 weeks
242.17364 -1.15974 (242*2π)/3632 weeks
2431.3354 -1.47369 (243*2π)/3631 weeks
2441.68761 -1.06313 (244*2π)/3631 weeks
2451.99815 -.27282 (245*2π)/3631 weeks
2461.67888 -.29065 (246*2π)/3631 weeks
2471.66489 .45247 (247*2π)/3631 weeks
248.81234 .37984 (248*2π)/3631 weeks
249.5518 -.17901 (249*2π)/3631 weeks
250.67667 -.2594 (250*2π)/3631 weeks
251.9767 -.32313 (251*2π)/3631 weeks
2521.04711 -.10304 (252*2π)/3631 weeks
2531.02461 -.09336 (253*2π)/3631 weeks
254.61419 .54317 (254*2π)/3631 weeks
255-.06002 -.12791 (255*2π)/3631 weeks
256.19819 -.69771 (256*2π)/3631 weeks
257.40575 -1.34451 (257*2π)/3631 weeks
2581.47603 -.80144 (258*2π)/3631 weeks
2591.27781 -.10071 (259*2π)/3631 weeks
260.99829 .64475 (260*2π)/3631 weeks
261-.26882 .07063 (261*2π)/3631 weeks
262.32464 -.79218 (262*2π)/3631 weeks
263.3904 -.98827 (263*2π)/3631 weeks
2641.5097 -.81483 (264*2π)/3631 weeks
2651.14261 -.10606 (265*2π)/3631 weeks
266.89956 .23055 (266*2π)/3631 weeks
267.26947 .2836 (267*2π)/3631 weeks
268-.13339 -.18663 (268*2π)/3631 weeks
269-.15268 -.47503 (269*2π)/3631 weeks
270.30355 -1.09603 (270*2π)/3631 weeks
271.63417 -1.1527 (271*2π)/3631 weeks
272.48358 -.22779 (272*2π)/3631 weeks
273.15928 -.56245 (273*2π)/3631 weeks
274.3568 -.92598 (274*2π)/3631 weeks
275.32093 -.89961 (275*2π)/3631 weeks
276-.31322 -.5255 (276*2π)/3631 weeks
277.48154 -1.91252 (277*2π)/3631 weeks
2781.11716 -1.26446 (278*2π)/3631 weeks
2791.28956 -1.04717 (279*2π)/3631 weeks
280.53169 .12361 (280*2π)/3631 weeks
281-.0706 -.43605 (281*2π)/3631 weeks
282-.88431 -1.17498 (282*2π)/3631 weeks
283.1933 -2.59139 (283*2π)/3631 weeks
2841.48203 -1.96012 (284*2π)/3631 weeks
2851.45541 -1.55078 (285*2π)/3631 weeks
2861.76533 -.51924 (286*2π)/3631 weeks
287.72984 -.69301 (287*2π)/3631 weeks
288.64176 -.36972 (288*2π)/3631 weeks
289-.02111 -1.67685 (289*2π)/3631 weeks
2901.00876 -1.37539 (290*2π)/3631 weeks
2911.30644 -1.47219 (291*2π)/3631 weeks
2922.16065 -.63122 (292*2π)/3631 weeks
293.93548 .35241 (293*2π)/3631 weeks
294-.2757 -.49861 (294*2π)/3631 weeks
295-.43324 -1.64803 (295*2π)/3631 weeks
296.87792 -2.0363 (296*2π)/3631 weeks
297.96597 -1.4718 (297*2π)/3631 weeks
2981.54145 -1.52734 (298*2π)/3631 weeks
2991.87787 -.48069 (299*2π)/3631 weeks
3001.06059 .10709 (300*2π)/3631 weeks
301-.19153 -.00717 (301*2π)/3631 weeks
302.08677 -.96889 (302*2π)/3631 weeks
303-.07332 -1.74845 (303*2π)/3631 weeks
304.31935 -1.7021 (304*2π)/3631 weeks
305.62795 -1.35208 (305*2π)/3631 weeks
306.75043 -1.13159 (306*2π)/3631 weeks
307-.03043 -1.20219 (307*2π)/3631 weeks
308-.20683 -1.22077 (308*2π)/3631 weeks
309-.11281 -2.80347 (309*2π)/3631 weeks
3101.15278 -3.09931 (310*2π)/3631 weeks
3112.07835 -2.01906 (311*2π)/3631 weeks
3121.23094 -1.35215 (312*2π)/3631 weeks
313.48954 -1.1875 (313*2π)/3631 weeks
314.86636 -2.20403 (314*2π)/3631 weeks
315.49699 -2.34798 (315*2π)/3631 weeks
3161.65018 -2.55738 (316*2π)/3631 weeks
3171.7616 -2.25899 (317*2π)/3631 weeks
3182.424 -1.93923 (318*2π)/3631 weeks
3191.7715 -.53281 (319*2π)/3631 weeks
3201.64573 -1.54473 (320*2π)/3631 weeks
321.77407 -.07749 (321*2π)/3631 weeks
322.61433 -1.10878 (322*2π)/3631 weeks
323.54033 -.80743 (323*2π)/3631 weeks
324.56845 -2.05962 (324*2π)/3631 weeks
325.89514 -1.42615 (325*2π)/3631 weeks
326.13304 -1.45551 (326*2π)/3631 weeks
327.26154 -1.13843 (327*2π)/3631 weeks
328-.91441 -2.32864 (328*2π)/3631 weeks
329.34019 -3.38582 (329*2π)/3631 weeks
330.59047 -2.69328 (330*2π)/3631 weeks
3312.0019 -2.17495 (331*2π)/3631 weeks
332-.78572 -1.56628 (332*2π)/3631 weeks
333-.37355 -3.68302 (333*2π)/3631 weeks
334-.2718 -5.12822 (334*2π)/3631 weeks
3353.68726 -4.78505 (335*2π)/3631 weeks
3362.67788 -1.57163 (336*2π)/3631 weeks
337.58603 .21202 (337*2π)/3631 weeks
338-1.65547 -1.4763 (338*2π)/3631 weeks
339-2.43265 -4.74512 (339*2π)/3631 weeks
340-.8678 -6.35441 (340*2π)/3631 weeks
3412.10265 -8.25291 (341*2π)/3631 weeks
3425.25507 -5.959 (342*2π)/3631 weeks
3435.47374 -3.38146 (343*2π)/3631 weeks
3445.1144 -1.04666 (344*2π)/3631 weeks
3452.96888 .53152 (345*2π)/3631 weeks
3461.61097 -.14996 (346*2π)/3631 weeks
347-.30848 -.8392 (347*2π)/3631 weeks
348.0116 -.37438 (348*2π)/3631 weeks
349-3.15267 .1806 (349*2π)/3631 weeks
350-6.34342 -6.21177 (350*2π)/3631 weeks
351-3.52339 -5.02027 (351*2π)/3631 weeks
352-2.0428 -8.03867 (352*2π)/3631 weeks
353-4.55241 -3.45672 (353*2π)/3631 weeks
354-5.59254 -9.31327 (354*2π)/3631 weeks
355-6.11125 -11.38607 (355*2π)/3631 weeks
356-7.42941 -13.53603 (356*2π)/3631 weeks
357-11.2581 -15.40036 (357*2π)/3631 weeks
358-21.59917 -22.12198 (358*2π)/3631 weeks
359-17.62221 -48.51111 (359*2π)/3631 weeks
360-1.92483 -73.36881 (360*2π)/3631 weeks
36147.52847 -90.51978 (361*2π)/3631 weeks



Back to list of Stocks