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Fourier Analysis of AMRS (Amyris Inc)


AMRS (Amyris Inc) appears to have interesting cyclic behaviour every 16 weeks (7.5827*sine), 17 weeks (7.2243*sine), and 29 weeks (6.9803*sine).

AMRS (Amyris Inc) has an average price of 89.64 (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 11/6/2017 for AMRS (Amyris Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
089.64299   0 
178.62105 68.62809 (1*2π)/372372 weeks
249.34006 87.69285 (2*2π)/372186 weeks
3.12239 73.78441 (3*2π)/372124 weeks
4-16.19154 49.35543 (4*2π)/37293 weeks
5-22.57454 24.88902 (5*2π)/37274 weeks
6-11.19771 15.93316 (6*2π)/37262 weeks
7-6.86361 13.36564 (7*2π)/37253 weeks
8-5.74549 11.00723 (8*2π)/37247 weeks
9-5.48067 8.83631 (9*2π)/37241 weeks
10-6.55225 4.76686 (10*2π)/37237 weeks
11-.82812 6.89605 (11*2π)/37234 weeks
12-4.2085 5.87074 (12*2π)/37231 weeks
13-3.55294 6.98031 (13*2π)/37229 weeks
14-5.09779 .17312 (14*2π)/37227 weeks
15-1.03489 -.27514 (15*2π)/37225 weeks
16-.10879 1.16449 (16*2π)/37223 weeks
17.61004 -.24354 (17*2π)/37222 weeks
181.57405 -.06773 (18*2π)/37221 weeks
194.11939 .3532 (19*2π)/37220 weeks
205.41853 2.5125 (20*2π)/37219 weeks
215.52765 4.43852 (21*2π)/37218 weeks
224.2202 7.22429 (22*2π)/37217 weeks
23.27556 7.5827 (23*2π)/37216 weeks
24-1.15184 5.69264 (24*2π)/37216 weeks
25-2.59271 3.13403 (25*2π)/37215 weeks
26-.97958 .94408 (26*2π)/37214 weeks
272.09615 .16602 (27*2π)/37214 weeks
283.31014 1.6888 (28*2π)/37213 weeks
292.44561 5.46859 (29*2π)/37213 weeks
30-.62219 4.08068 (30*2π)/37212 weeks
31-.81766 3.37529 (31*2π)/37212 weeks
32-.28261 1.03868 (32*2π)/37212 weeks
331.71694 2.79868 (33*2π)/37211 weeks
34.70288 2.58009 (34*2π)/37211 weeks
35.05676 3.30119 (35*2π)/37211 weeks
36-.92422 2.02447 (36*2π)/37210 weeks
37.37704 1.21111 (37*2π)/37210 weeks
38.13799 1.33776 (38*2π)/37210 weeks
39.87085 1.43338 (39*2π)/37210 weeks
40.50226 2.02355 (40*2π)/3729 weeks
41.54414 .79413 (41*2π)/3729 weeks
42.6025 1.08712 (42*2π)/3729 weeks
43.66912 .13632 (43*2π)/3729 weeks
441.74326 1.46554 (44*2π)/3728 weeks
451.57532 .52907 (45*2π)/3728 weeks
462.47271 1.74407 (46*2π)/3728 weeks
471.79058 2.18186 (47*2π)/3728 weeks
481.66866 2.34142 (48*2π)/3728 weeks
49.61644 2.52594 (49*2π)/3728 weeks
50.94088 1.95578 (50*2π)/3727 weeks
51.23492 1.44634 (51*2π)/3727 weeks
521.17383 1.27852 (52*2π)/3727 weeks
531.88358 1.4703 (53*2π)/3727 weeks
541.4781 2.7874 (54*2π)/3727 weeks
55.1973 2.87056 (55*2π)/3727 weeks
56-.71061 1.70377 (56*2π)/3727 weeks
57.06259 1.4525 (57*2π)/3727 weeks
58.45277 .91626 (58*2π)/3726 weeks
59.62738 1.41574 (59*2π)/3726 weeks
60.695 1.6343 (60*2π)/3726 weeks
61.34057 1.54198 (61*2π)/3726 weeks
62-.33914 1.00522 (62*2π)/3726 weeks
63-.35028 .89786 (63*2π)/3726 weeks
64.45579 -.20637 (64*2π)/3726 weeks
651.36045 .0905 (65*2π)/3726 weeks
661.908 1.0525 (66*2π)/3726 weeks
671.2726 1.63643 (67*2π)/3726 weeks
681.12762 1.44957 (68*2π)/3725 weeks
69.49194 2.07289 (69*2π)/3725 weeks
70-.48773 1.0706 (70*2π)/3725 weeks
71-.20446 .09974 (71*2π)/3725 weeks
721.22462 -.23357 (72*2π)/3725 weeks
732.01847 1.10708 (73*2π)/3725 weeks
741.20017 1.47689 (74*2π)/3725 weeks
751.06353 1.43768 (75*2π)/3725 weeks
76-.18119 1.31318 (76*2π)/3725 weeks
77.77286 .41827 (77*2π)/3725 weeks
78.70175 .58033 (78*2π)/3725 weeks
791.79979 .63378 (79*2π)/3725 weeks
801.39008 1.51057 (80*2π)/3725 weeks
811.43379 1.95976 (81*2π)/3725 weeks
82.16379 2.52209 (82*2π)/3725 weeks
83-.86452 1.16061 (83*2π)/3724 weeks
84-.07956 .4297 (84*2π)/3724 weeks
85.43489 -.09221 (85*2π)/3724 weeks
861.34278 .94397 (86*2π)/3724 weeks
871.09457 1.15114 (87*2π)/3724 weeks
88.63604 1.78545 (88*2π)/3724 weeks
89-.503 .78265 (89*2π)/3724 weeks
90.42447 .85297 (90*2π)/3724 weeks
91.40949 .81159 (91*2π)/3724 weeks
92.09704 .62447 (92*2π)/3724 weeks
93.28691 .32802 (93*2π)/3724 weeks
94.93645 .89765 (94*2π)/3724 weeks
95.37929 .89527 (95*2π)/3724 weeks
96-.25628 .69657 (96*2π)/3724 weeks
97-.10511 .34366 (97*2π)/3724 weeks
98.05825 -.17293 (98*2π)/3724 weeks
99.63581 -.34416 (99*2π)/3724 weeks
1001.03678 -.01868 (100*2π)/3724 weeks
1011.34559 .2532 (101*2π)/3724 weeks
102.81089 1.24282 (102*2π)/3724 weeks
103.34974 .71261 (103*2π)/3724 weeks
104-.13689 .66768 (104*2π)/3724 weeks
105.17042 -.56176 (105*2π)/3724 weeks
1061.32173 -.14546 (106*2π)/3724 weeks
1071.44957 .25147 (107*2π)/3723 weeks
1081.26224 1.13048 (108*2π)/3723 weeks
109.12748 .89117 (109*2π)/3723 weeks
110.02281 .57754 (110*2π)/3723 weeks
111-.01986 -.13162 (111*2π)/3723 weeks
112.89448 -.41364 (112*2π)/3723 weeks
113.89588 .11548 (113*2π)/3723 weeks
1141.0257 .19412 (114*2π)/3723 weeks
115.91318 .3746 (115*2π)/3723 weeks
116.68487 .19925 (116*2π)/3723 weeks
117.47781 .06213 (117*2π)/3723 weeks
118.83985 -.41026 (118*2π)/3723 weeks
1191.70928 -.32261 (119*2π)/3723 weeks
1201.59722 .30269 (120*2π)/3723 weeks
1212.00134 .34812 (121*2π)/3723 weeks
1221.63437 1.04785 (122*2π)/3723 weeks
1231.28769 1.45352 (123*2π)/3723 weeks
124.17084 1.13401 (124*2π)/3723 weeks
125.8226 .09987 (125*2π)/3723 weeks
1261.33124 .70828 (126*2π)/3723 weeks
1271.22242 1.09046 (127*2π)/3723 weeks
1281.04339 1.53482 (128*2π)/3723 weeks
129.07013 1.79415 (129*2π)/3723 weeks
130-.57453 1.15303 (130*2π)/3723 weeks
131-.60129 .24929 (131*2π)/3723 weeks
132.20161 -.13738 (132*2π)/3723 weeks
133.18998 -.00577 (133*2π)/3723 weeks
134.71658 .03306 (134*2π)/3723 weeks
135.21627 .26847 (135*2π)/3723 weeks
136.01209 -.06767 (136*2π)/3723 weeks
137.16223 -.87763 (137*2π)/3723 weeks
1381.18326 -.63066 (138*2π)/3723 weeks
1391.55007 .00441 (139*2π)/3723 weeks
1401.17452 .41574 (140*2π)/3723 weeks
141.91428 .57184 (141*2π)/3723 weeks
142.72816 .29691 (142*2π)/3723 weeks
143.74993 .26328 (143*2π)/3723 weeks
144.82847 .19635 (144*2π)/3723 weeks
145.84672 .22395 (145*2π)/3723 weeks
146.82818 .10489 (146*2π)/3723 weeks
1471.14297 .03141 (147*2π)/3723 weeks
1481.28714 .57048 (148*2π)/3723 weeks
149.82301 .92757 (149*2π)/3722 weeks
150.48706 .67961 (150*2π)/3722 weeks
151.27235 .40269 (151*2π)/3722 weeks
152.61028 .39826 (152*2π)/3722 weeks
153.2754 .11082 (153*2π)/3722 weeks
154.64265 .31616 (154*2π)/3722 weeks
155.71512 .29336 (155*2π)/3722 weeks
156.33111 .20751 (156*2π)/3722 weeks
157.54791 .1656 (157*2π)/3722 weeks
158.7684 -.30216 (158*2π)/3722 weeks
159.95366 .61173 (159*2π)/3722 weeks
160.63153 .27567 (160*2π)/3722 weeks
161.18406 .68188 (161*2π)/3722 weeks
162-.00367 -.29564 (162*2π)/3722 weeks
163.5661 -.13639 (163*2π)/3722 weeks
164.43138 -.19247 (164*2π)/3722 weeks
1651.11687 -.00537 (165*2π)/3722 weeks
166.57373 .20308 (166*2π)/3722 weeks
167.64206 .30458 (167*2π)/3722 weeks
168.28414 .11318 (168*2π)/3722 weeks
169.52114 -.08776 (169*2π)/3722 weeks
170.23719 -.09565 (170*2π)/3722 weeks
171.54743 -.48697 (171*2π)/3722 weeks
172.71745 -.25097 (172*2π)/3722 weeks
173.83538 -.14077 (173*2π)/3722 weeks
174.51004 -.21281 (174*2π)/3722 weeks
175.6402 -.26669 (175*2π)/3722 weeks
176.86588 -.47955 (176*2π)/3722 weeks
1771.05876 -.35639 (177*2π)/3722 weeks
178.9975 -.10035 (178*2π)/3722 weeks
1791.04566 -.16379 (179*2π)/3722 weeks
1801.14308 .1253 (180*2π)/3722 weeks
181.77842 .24826 (181*2π)/3722 weeks
182.51723 .08296 (182*2π)/3722 weeks
183.52316 -.31288 (183*2π)/3722 weeks
184.70816 -.77362 (184*2π)/3722 weeks
1851.44566 -.61986 (185*2π)/3722 weeks
1861.79053   (186*2π)/3722 weeks
1871.44566 .61986 (187*2π)/3722 weeks
188.70816 .77362 (188*2π)/3722 weeks
189.52316 .31288 (189*2π)/3722 weeks
190.51723 -.08296 (190*2π)/3722 weeks
191.77842 -.24826 (191*2π)/3722 weeks
1921.14308 -.1253 (192*2π)/3722 weeks
1931.04566 .16379 (193*2π)/3722 weeks
194.9975 .10035 (194*2π)/3722 weeks
1951.05876 .35639 (195*2π)/3722 weeks
196.86588 .47955 (196*2π)/3722 weeks
197.6402 .26669 (197*2π)/3722 weeks
198.51004 .21281 (198*2π)/3722 weeks
199.83538 .14077 (199*2π)/3722 weeks
200.71745 .25097 (200*2π)/3722 weeks
201.54743 .48697 (201*2π)/3722 weeks
202.23719 .09565 (202*2π)/3722 weeks
203.52114 .08776 (203*2π)/3722 weeks
204.28414 -.11318 (204*2π)/3722 weeks
205.64206 -.30458 (205*2π)/3722 weeks
206.57373 -.20308 (206*2π)/3722 weeks
2071.11687 .00537 (207*2π)/3722 weeks
208.43138 .19247 (208*2π)/3722 weeks
209.5661 .13639 (209*2π)/3722 weeks
210-.00367 .29564 (210*2π)/3722 weeks
211.18406 -.68188 (211*2π)/3722 weeks
212.63153 -.27567 (212*2π)/3722 weeks
213.95366 -.61173 (213*2π)/3722 weeks
214.7684 .30216 (214*2π)/3722 weeks
215.54791 -.1656 (215*2π)/3722 weeks
216.33111 -.20751 (216*2π)/3722 weeks
217.71512 -.29336 (217*2π)/3722 weeks
218.64265 -.31616 (218*2π)/3722 weeks
219.2754 -.11082 (219*2π)/3722 weeks
220.61028 -.39826 (220*2π)/3722 weeks
221.27235 -.40269 (221*2π)/3722 weeks
222.48706 -.67961 (222*2π)/3722 weeks
223.82301 -.92757 (223*2π)/3722 weeks
2241.28714 -.57048 (224*2π)/3722 weeks
2251.14297 -.03141 (225*2π)/3722 weeks
226.82818 -.10489 (226*2π)/3722 weeks
227.84672 -.22395 (227*2π)/3722 weeks
228.82847 -.19635 (228*2π)/3722 weeks
229.74993 -.26328 (229*2π)/3722 weeks
230.72816 -.29691 (230*2π)/3722 weeks
231.91428 -.57184 (231*2π)/3722 weeks
2321.17452 -.41574 (232*2π)/3722 weeks
2331.55007 -.00441 (233*2π)/3722 weeks
2341.18326 .63066 (234*2π)/3722 weeks
235.16223 .87763 (235*2π)/3722 weeks
236.01209 .06767 (236*2π)/3722 weeks
237.21627 -.26847 (237*2π)/3722 weeks
238.71658 -.03306 (238*2π)/3722 weeks
239.18998 .00577 (239*2π)/3722 weeks
240.20161 .13738 (240*2π)/3722 weeks
241-.60129 -.24929 (241*2π)/3722 weeks
242-.57453 -1.15303 (242*2π)/3722 weeks
243.07013 -1.79415 (243*2π)/3722 weeks
2441.04339 -1.53482 (244*2π)/3722 weeks
2451.22242 -1.09046 (245*2π)/3722 weeks
2461.33124 -.70828 (246*2π)/3722 weeks
247.8226 -.09987 (247*2π)/3722 weeks
248.17084 -1.13401 (248*2π)/3722 weeks
2491.28769 -1.45352 (249*2π)/3721 weeks
2501.63437 -1.04785 (250*2π)/3721 weeks
2512.00134 -.34812 (251*2π)/3721 weeks
2521.59722 -.30269 (252*2π)/3721 weeks
2531.70928 .32261 (253*2π)/3721 weeks
254.83985 .41026 (254*2π)/3721 weeks
255.47781 -.06213 (255*2π)/3721 weeks
256.68487 -.19925 (256*2π)/3721 weeks
257.91318 -.3746 (257*2π)/3721 weeks
2581.0257 -.19412 (258*2π)/3721 weeks
259.89588 -.11548 (259*2π)/3721 weeks
260.89448 .41364 (260*2π)/3721 weeks
261-.01986 .13162 (261*2π)/3721 weeks
262.02281 -.57754 (262*2π)/3721 weeks
263.12748 -.89117 (263*2π)/3721 weeks
2641.26224 -1.13048 (264*2π)/3721 weeks
2651.44957 -.25147 (265*2π)/3721 weeks
2661.32173 .14546 (266*2π)/3721 weeks
267.17042 .56176 (267*2π)/3721 weeks
268-.13689 -.66768 (268*2π)/3721 weeks
269.34974 -.71261 (269*2π)/3721 weeks
270.81089 -1.24282 (270*2π)/3721 weeks
2711.34559 -.2532 (271*2π)/3721 weeks
2721.03678 .01868 (272*2π)/3721 weeks
273.63581 .34416 (273*2π)/3721 weeks
274.05825 .17293 (274*2π)/3721 weeks
275-.10511 -.34366 (275*2π)/3721 weeks
276-.25628 -.69657 (276*2π)/3721 weeks
277.37929 -.89527 (277*2π)/3721 weeks
278.93645 -.89765 (278*2π)/3721 weeks
279.28691 -.32802 (279*2π)/3721 weeks
280.09704 -.62447 (280*2π)/3721 weeks
281.40949 -.81159 (281*2π)/3721 weeks
282.42447 -.85297 (282*2π)/3721 weeks
283-.503 -.78265 (283*2π)/3721 weeks
284.63604 -1.78545 (284*2π)/3721 weeks
2851.09457 -1.15114 (285*2π)/3721 weeks
2861.34278 -.94397 (286*2π)/3721 weeks
287.43489 .09221 (287*2π)/3721 weeks
288-.07956 -.4297 (288*2π)/3721 weeks
289-.86452 -1.16061 (289*2π)/3721 weeks
290.16379 -2.52209 (290*2π)/3721 weeks
2911.43379 -1.95976 (291*2π)/3721 weeks
2921.39008 -1.51057 (292*2π)/3721 weeks
2931.79979 -.63378 (293*2π)/3721 weeks
294.70175 -.58033 (294*2π)/3721 weeks
295.77286 -.41827 (295*2π)/3721 weeks
296-.18119 -1.31318 (296*2π)/3721 weeks
2971.06353 -1.43768 (297*2π)/3721 weeks
2981.20017 -1.47689 (298*2π)/3721 weeks
2992.01847 -1.10708 (299*2π)/3721 weeks
3001.22462 .23357 (300*2π)/3721 weeks
301-.20446 -.09974 (301*2π)/3721 weeks
302-.48773 -1.0706 (302*2π)/3721 weeks
303.49194 -2.07289 (303*2π)/3721 weeks
3041.12762 -1.44957 (304*2π)/3721 weeks
3051.2726 -1.63643 (305*2π)/3721 weeks
3061.908 -1.0525 (306*2π)/3721 weeks
3071.36045 -.0905 (307*2π)/3721 weeks
308.45579 .20637 (308*2π)/3721 weeks
309-.35028 -.89786 (309*2π)/3721 weeks
310-.33914 -1.00522 (310*2π)/3721 weeks
311.34057 -1.54198 (311*2π)/3721 weeks
312.695 -1.6343 (312*2π)/3721 weeks
313.62738 -1.41574 (313*2π)/3721 weeks
314.45277 -.91626 (314*2π)/3721 weeks
315.06259 -1.4525 (315*2π)/3721 weeks
316-.71061 -1.70377 (316*2π)/3721 weeks
317.1973 -2.87056 (317*2π)/3721 weeks
3181.4781 -2.7874 (318*2π)/3721 weeks
3191.88358 -1.4703 (319*2π)/3721 weeks
3201.17383 -1.27852 (320*2π)/3721 weeks
321.23492 -1.44634 (321*2π)/3721 weeks
322.94088 -1.95578 (322*2π)/3721 weeks
323.61644 -2.52594 (323*2π)/3721 weeks
3241.66866 -2.34142 (324*2π)/3721 weeks
3251.79058 -2.18186 (325*2π)/3721 weeks
3262.47271 -1.74407 (326*2π)/3721 weeks
3271.57532 -.52907 (327*2π)/3721 weeks
3281.74326 -1.46554 (328*2π)/3721 weeks
329.66912 -.13632 (329*2π)/3721 weeks
330.6025 -1.08712 (330*2π)/3721 weeks
331.54414 -.79413 (331*2π)/3721 weeks
332.50226 -2.02355 (332*2π)/3721 weeks
333.87085 -1.43338 (333*2π)/3721 weeks
334.13799 -1.33776 (334*2π)/3721 weeks
335.37704 -1.21111 (335*2π)/3721 weeks
336-.92422 -2.02447 (336*2π)/3721 weeks
337.05676 -3.30119 (337*2π)/3721 weeks
338.70288 -2.58009 (338*2π)/3721 weeks
3391.71694 -2.79868 (339*2π)/3721 weeks
340-.28261 -1.03868 (340*2π)/3721 weeks
341-.81766 -3.37529 (341*2π)/3721 weeks
342-.62219 -4.08068 (342*2π)/3721 weeks
3432.44561 -5.46859 (343*2π)/3721 weeks
3443.31014 -1.6888 (344*2π)/3721 weeks
3452.09615 -.16602 (345*2π)/3721 weeks
346-.97958 -.94408 (346*2π)/3721 weeks
347-2.59271 -3.13403 (347*2π)/3721 weeks
348-1.15184 -5.69264 (348*2π)/3721 weeks
349.27556 -7.5827 (349*2π)/3721 weeks
3504.2202 -7.22429 (350*2π)/3721 weeks
3515.52765 -4.43852 (351*2π)/3721 weeks
3525.41853 -2.5125 (352*2π)/3721 weeks
3534.11939 -.3532 (353*2π)/3721 weeks
3541.57405 .06773 (354*2π)/3721 weeks
355.61004 .24354 (355*2π)/3721 weeks
356-.10879 -1.16449 (356*2π)/3721 weeks
357-1.03489 .27514 (357*2π)/3721 weeks
358-5.09779 -.17312 (358*2π)/3721 weeks
359-3.55294 -6.98031 (359*2π)/3721 weeks
360-4.2085 -5.87074 (360*2π)/3721 weeks
361-.82812 -6.89605 (361*2π)/3721 weeks
362-6.55225 -4.76686 (362*2π)/3721 weeks
363-5.48067 -8.83631 (363*2π)/3721 weeks
364-5.74549 -11.00723 (364*2π)/3721 weeks
365-6.86361 -13.36564 (365*2π)/3721 weeks
366-11.19771 -15.93316 (366*2π)/3721 weeks
367-22.57454 -24.88902 (367*2π)/3721 weeks
368-16.19154 -49.35543 (368*2π)/3721 weeks
369.12239 -73.78441 (369*2π)/3721 weeks
37049.34006 -87.69285 (370*2π)/3721 weeks



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