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Fourier Analysis of GEVO (Gevo Inc)


GEVO (Gevo Inc) appears to have interesting cyclic behaviour every 26 weeks (161.1603*sine), 34 weeks (157.8599*sine), and 31 weeks (137.0151*sine).

GEVO (Gevo Inc) has an average price of 952.83 (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 2/9/2011 to 7/17/2017 for GEVO (Gevo Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0952.8268   0 
11,034.9 917.9611 (1*2π)/337337 weeks
2528.9603 785.3643 (2*2π)/337169 weeks
3228.6099 639.1385 (3*2π)/337112 weeks
4202.3633 405.9078 (4*2π)/33784 weeks
5261.3917 434.8492 (5*2π)/33767 weeks
6177.5404 522.2471 (6*2π)/33756 weeks
7-8.9876 493.2559 (7*2π)/33748 weeks
8-107.2726 351.1909 (8*2π)/33742 weeks
9-102.7381 216.1338 (9*2π)/33737 weeks
10-39.25397 157.8599 (10*2π)/33734 weeks
11-13.56907 137.0151 (11*2π)/33731 weeks
1227.47725 134.4354 (12*2π)/33728 weeks
1322.0961 161.1603 (13*2π)/33726 weeks
14-15.51845 151.366 (14*2π)/33724 weeks
15-7.49454 101.9799 (15*2π)/33722 weeks
1623.64023 94.20229 (16*2π)/33721 weeks
1739.88977 122.6353 (17*2π)/33720 weeks
1815.54208 132.3956 (18*2π)/33719 weeks
193.98074 132.6129 (19*2π)/33718 weeks
20-27.05685 123.033 (20*2π)/33717 weeks
21-36.80213 95.74928 (21*2π)/33716 weeks
22-38.02952 69.31227 (22*2π)/33715 weeks
23-28.21125 46.02546 (23*2π)/33715 weeks
24-13.27639 30.47147 (24*2π)/33714 weeks
259.26389 19.02344 (25*2π)/33713 weeks
2629.01047 20.36039 (26*2π)/33713 weeks
2756.22462 38.19843 (27*2π)/33712 weeks
2846.38085 63.43347 (28*2π)/33712 weeks
2935.8457 71.86854 (29*2π)/33712 weeks
3019.98847 72.48516 (30*2π)/33711 weeks
318.60943 55.0024 (31*2π)/33711 weeks
3229.9311 41.97573 (32*2π)/33711 weeks
3341.40252 68.75219 (33*2π)/33710 weeks
3415.45453 83.34122 (34*2π)/33710 weeks
35-11.29578 69.36845 (35*2π)/33710 weeks
36-10.61919 38.74383 (36*2π)/3379 weeks
376.79033 28.57218 (37*2π)/3379 weeks
3820.1834 36.35658 (38*2π)/3379 weeks
3912.54998 41.20266 (39*2π)/3379 weeks
404.41586 40.18722 (40*2π)/3378 weeks
413.7646 14.32399 (41*2π)/3378 weeks
4224.62588 9.92181 (42*2π)/3378 weeks
4340.95346 12.65482 (43*2π)/3378 weeks
4452.65519 24.4812 (44*2π)/3378 weeks
4555.04729 38.44385 (45*2π)/3377 weeks
4656.60316 52.47505 (46*2π)/3377 weeks
4747.99257 63.37714 (47*2π)/3377 weeks
4843.48878 75.99532 (48*2π)/3377 weeks
4917.47832 90.66348 (49*2π)/3377 weeks
50-12.57106 69.79957 (50*2π)/3377 weeks
51-6.70294 42.20584 (51*2π)/3377 weeks
529.71546 37.13257 (52*2π)/3376 weeks
5316.24841 48.70574 (53*2π)/3376 weeks
544.70119 52.79955 (54*2π)/3376 weeks
55-4.90823 48.22594 (55*2π)/3376 weeks
56-4.36842 30.7463 (56*2π)/3376 weeks
577.63605 27.92635 (57*2π)/3376 weeks
5815.43649 40.30075 (58*2π)/3376 weeks
592.65791 41.85894 (59*2π)/3376 weeks
601.42868 37.82169 (60*2π)/3376 weeks
61-1.70292 39.38214 (61*2π)/3376 weeks
62-6.27388 31.90721 (62*2π)/3375 weeks
63-9.18709 29.15169 (63*2π)/3375 weeks
64-7.24052 17.78682 (64*2π)/3375 weeks
65-1.24506 17.28203 (65*2π)/3375 weeks
66-1.85445 13.1309 (66*2π)/3375 weeks
677.23309 9.71271 (67*2π)/3375 weeks
688.53975 15.53249 (68*2π)/3375 weeks
697.04391 14.17236 (69*2π)/3375 weeks
709.03816 11.68731 (70*2π)/3375 weeks
7113.73247 10.30499 (71*2π)/3375 weeks
7213.5714 17.91948 (72*2π)/3375 weeks
739.39258 11.81821 (73*2π)/3375 weeks
7412.98077 9.91502 (74*2π)/3375 weeks
7518.95444 6.67637 (75*2π)/3374 weeks
7625.95855 15.54151 (76*2π)/3374 weeks
7718.23713 23.1992 (77*2π)/3374 weeks
7813.63963 17.38137 (78*2π)/3374 weeks
7914.65331 15.57382 (79*2π)/3374 weeks
8019.77858 11.92638 (80*2π)/3374 weeks
8121.63226 23.58647 (81*2π)/3374 weeks
829.31973 23.86244 (82*2π)/3374 weeks
832.83183 8.91772 (83*2π)/3374 weeks
8417.01024 -1.60011 (84*2π)/3374 weeks
8534.28999 4.5395 (85*2π)/3374 weeks
8634.56528 19.83807 (86*2π)/3374 weeks
8728.40865 28.59659 (87*2π)/3374 weeks
8820.69529 26.3203 (88*2π)/3374 weeks
8919.50784 26.89323 (89*2π)/3374 weeks
9018.41344 29.54219 (90*2π)/3374 weeks
919.20704 29.6943 (91*2π)/3374 weeks
924.11556 20.86226 (92*2π)/3374 weeks
939.20409 11.87725 (93*2π)/3374 weeks
9420.64938 10.57202 (94*2π)/3374 weeks
9524.19955 21.18511 (95*2π)/3374 weeks
9621.19286 27.66369 (96*2π)/3374 weeks
9711.66773 30.71456 (97*2π)/3373 weeks
988.65768 21.75439 (98*2π)/3373 weeks
9913.78816 22.24943 (99*2π)/3373 weeks
10016.09851 24.25559 (100*2π)/3373 weeks
10114.9671 35.96343 (101*2π)/3373 weeks
102-2.19425 38.92065 (102*2π)/3373 weeks
103-12.15034 26.12946 (103*2π)/3373 weeks
104-9.30033 16.10693 (104*2π)/3373 weeks
105-6.72072 14.96854 (105*2π)/3373 weeks
106-9.8159 7.49636 (106*2π)/3373 weeks
107-3.92299 1.13573 (107*2π)/3373 weeks
1085.84021 -.36972 (108*2π)/3373 weeks
1098.05859 6.25961 (109*2π)/3373 weeks
1105.9867 11.13169 (110*2π)/3373 weeks
111-1.52894 7.29439 (111*2π)/3373 weeks
1123.03247 -1.56559 (112*2π)/3373 weeks
1138.45484 4.79198 (113*2π)/3373 weeks
1145.21707 2.35049 (114*2π)/3373 weeks
1155.54947 5.14515 (115*2π)/3373 weeks
116.33135 -.70526 (116*2π)/3373 weeks
1176.37968 -8.5166 (117*2π)/3373 weeks
11815.89956 -9.2782 (118*2π)/3373 weeks
11923.60985 .16677 (119*2π)/3373 weeks
12017.81701 9.76027 (120*2π)/3373 weeks
1219.10555 8.7459 (121*2π)/3373 weeks
1226.39101 3.82974 (122*2π)/3373 weeks
1235.54042 -1.94476 (123*2π)/3373 weeks
1249.42431 -6.5875 (124*2π)/3373 weeks
12515.63569 -9.10934 (125*2π)/3373 weeks
12620.8789 -6.44919 (126*2π)/3373 weeks
12723.84267 -5.34922 (127*2π)/3373 weeks
12830.66993 .48968 (128*2π)/3373 weeks
12926.81376 13.16938 (129*2π)/3373 weeks
13012.57081 10.44278 (130*2π)/3373 weeks
13114.94144 1.36204 (131*2π)/3373 weeks
13218.74901 -2.82223 (132*2π)/3373 weeks
13330.6674 1.88196 (133*2π)/3373 weeks
13425.85755 13.19086 (134*2π)/3373 weeks
13519.24843 12.0205 (135*2π)/3372 weeks
13617.89158 8.86428 (136*2π)/3372 weeks
13724.00431 7.22525 (137*2π)/3372 weeks
13824.35488 16.29167 (138*2π)/3372 weeks
13918.66764 19.62941 (139*2π)/3372 weeks
14014.69073 21.01041 (140*2π)/3372 weeks
1414.3709 22.03101 (141*2π)/3372 weeks
142-.64016 10.8321 (142*2π)/3372 weeks
1433.14574 4.93781 (143*2π)/3372 weeks
1446.58565 .24232 (144*2π)/3372 weeks
14514.63261 2.10807 (145*2π)/3372 weeks
14613.79417 7.69696 (146*2π)/3372 weeks
14711.76943 9.56893 (147*2π)/3372 weeks
1485.08467 11.98309 (148*2π)/3372 weeks
149.77359 1.76408 (149*2π)/3372 weeks
1507.94512 -3.85329 (150*2π)/3372 weeks
15114.22579 -1.27258 (151*2π)/3372 weeks
15216.28263 3.41621 (152*2π)/3372 weeks
15312.62253 9.39342 (153*2π)/3372 weeks
1545.17636 8.38188 (154*2π)/3372 weeks
1552.34457 .00173 (155*2π)/3372 weeks
1569.57462 -3.85406 (156*2π)/3372 weeks
15710.94186 4.02145 (157*2π)/3372 weeks
1582.17862 -1.573 (158*2π)/3372 weeks
1596.57115 -7.8773 (159*2π)/3372 weeks
16013.03956 -12.24085 (160*2π)/3372 weeks
16122.74885 -7.62431 (161*2π)/3372 weeks
16221.24091 2.69749 (162*2π)/3372 weeks
16317.37597 3.13475 (163*2π)/3372 weeks
16414.15348 4.38921 (164*2π)/3372 weeks
16512.43389 1.67579 (165*2π)/3372 weeks
16615.84436 .71827 (166*2π)/3372 weeks
16714.27929 6.74361 (167*2π)/3372 weeks
1685.31516 5.80758 (168*2π)/3372 weeks
1695.31516 -5.80758 (169*2π)/3372 weeks
17014.27929 -6.74361 (170*2π)/3372 weeks
17115.84436 -.71827 (171*2π)/3372 weeks
17212.43389 -1.67579 (172*2π)/3372 weeks
17314.15348 -4.38921 (173*2π)/3372 weeks
17417.37597 -3.13475 (174*2π)/3372 weeks
17521.24091 -2.69749 (175*2π)/3372 weeks
17622.74885 7.62431 (176*2π)/3372 weeks
17713.03956 12.24085 (177*2π)/3372 weeks
1786.57115 7.8773 (178*2π)/3372 weeks
1792.17862 1.573 (179*2π)/3372 weeks
18010.94186 -4.02145 (180*2π)/3372 weeks
1819.57462 3.85406 (181*2π)/3372 weeks
1822.34457 -.00173 (182*2π)/3372 weeks
1835.17636 -8.38188 (183*2π)/3372 weeks
18412.62253 -9.39342 (184*2π)/3372 weeks
18516.28263 -3.41621 (185*2π)/3372 weeks
18614.22579 1.27258 (186*2π)/3372 weeks
1877.94512 3.85329 (187*2π)/3372 weeks
188.77359 -1.76408 (188*2π)/3372 weeks
1895.08467 -11.98309 (189*2π)/3372 weeks
19011.76943 -9.56893 (190*2π)/3372 weeks
19113.79417 -7.69696 (191*2π)/3372 weeks
19214.63261 -2.10807 (192*2π)/3372 weeks
1936.58565 -.24232 (193*2π)/3372 weeks
1943.14574 -4.93781 (194*2π)/3372 weeks
195-.64016 -10.8321 (195*2π)/3372 weeks
1964.3709 -22.03101 (196*2π)/3372 weeks
19714.69073 -21.01041 (197*2π)/3372 weeks
19818.66764 -19.62941 (198*2π)/3372 weeks
19924.35488 -16.29167 (199*2π)/3372 weeks
20024.00431 -7.22525 (200*2π)/3372 weeks
20117.89158 -8.86428 (201*2π)/3372 weeks
20219.24843 -12.0205 (202*2π)/3372 weeks
20325.85755 -13.19086 (203*2π)/3372 weeks
20430.6674 -1.88196 (204*2π)/3372 weeks
20518.74901 2.82223 (205*2π)/3372 weeks
20614.94144 -1.36204 (206*2π)/3372 weeks
20712.57081 -10.44278 (207*2π)/3372 weeks
20826.81376 -13.16938 (208*2π)/3372 weeks
20930.66993 -.48968 (209*2π)/3372 weeks
21023.84267 5.34922 (210*2π)/3372 weeks
21120.8789 6.44919 (211*2π)/3372 weeks
21215.63569 9.10934 (212*2π)/3372 weeks
2139.42431 6.5875 (213*2π)/3372 weeks
2145.54042 1.94476 (214*2π)/3372 weeks
2156.39101 -3.82974 (215*2π)/3372 weeks
2169.10555 -8.7459 (216*2π)/3372 weeks
21717.81701 -9.76027 (217*2π)/3372 weeks
21823.60985 -.16677 (218*2π)/3372 weeks
21915.89956 9.2782 (219*2π)/3372 weeks
2206.37968 8.5166 (220*2π)/3372 weeks
221.33135 .70526 (221*2π)/3372 weeks
2225.54947 -5.14515 (222*2π)/3372 weeks
2235.21707 -2.35049 (223*2π)/3372 weeks
2248.45484 -4.79198 (224*2π)/3372 weeks
2253.03247 1.56559 (225*2π)/3371 weeks
226-1.52894 -7.29439 (226*2π)/3371 weeks
2275.9867 -11.13169 (227*2π)/3371 weeks
2288.05859 -6.25961 (228*2π)/3371 weeks
2295.84021 .36972 (229*2π)/3371 weeks
230-3.92299 -1.13573 (230*2π)/3371 weeks
231-9.8159 -7.49636 (231*2π)/3371 weeks
232-6.72072 -14.96854 (232*2π)/3371 weeks
233-9.30033 -16.10693 (233*2π)/3371 weeks
234-12.15034 -26.12946 (234*2π)/3371 weeks
235-2.19425 -38.92065 (235*2π)/3371 weeks
23614.9671 -35.96343 (236*2π)/3371 weeks
23716.09851 -24.25559 (237*2π)/3371 weeks
23813.78816 -22.24943 (238*2π)/3371 weeks
2398.65768 -21.75439 (239*2π)/3371 weeks
24011.66773 -30.71456 (240*2π)/3371 weeks
24121.19286 -27.66369 (241*2π)/3371 weeks
24224.19955 -21.18511 (242*2π)/3371 weeks
24320.64938 -10.57202 (243*2π)/3371 weeks
2449.20409 -11.87725 (244*2π)/3371 weeks
2454.11556 -20.86226 (245*2π)/3371 weeks
2469.20704 -29.6943 (246*2π)/3371 weeks
24718.41344 -29.54219 (247*2π)/3371 weeks
24819.50784 -26.89323 (248*2π)/3371 weeks
24920.69529 -26.3203 (249*2π)/3371 weeks
25028.40865 -28.59659 (250*2π)/3371 weeks
25134.56528 -19.83807 (251*2π)/3371 weeks
25234.28999 -4.5395 (252*2π)/3371 weeks
25317.01024 1.60011 (253*2π)/3371 weeks
2542.83183 -8.91772 (254*2π)/3371 weeks
2559.31973 -23.86244 (255*2π)/3371 weeks
25621.63226 -23.58647 (256*2π)/3371 weeks
25719.77858 -11.92638 (257*2π)/3371 weeks
25814.65331 -15.57382 (258*2π)/3371 weeks
25913.63963 -17.38137 (259*2π)/3371 weeks
26018.23713 -23.1992 (260*2π)/3371 weeks
26125.95855 -15.54151 (261*2π)/3371 weeks
26218.95444 -6.67637 (262*2π)/3371 weeks
26312.98077 -9.91502 (263*2π)/3371 weeks
2649.39258 -11.81821 (264*2π)/3371 weeks
26513.5714 -17.91948 (265*2π)/3371 weeks
26613.73247 -10.30499 (266*2π)/3371 weeks
2679.03816 -11.68731 (267*2π)/3371 weeks
2687.04391 -14.17236 (268*2π)/3371 weeks
2698.53975 -15.53249 (269*2π)/3371 weeks
2707.23309 -9.71271 (270*2π)/3371 weeks
271-1.85445 -13.1309 (271*2π)/3371 weeks
272-1.24506 -17.28203 (272*2π)/3371 weeks
273-7.24052 -17.78682 (273*2π)/3371 weeks
274-9.18709 -29.15169 (274*2π)/3371 weeks
275-6.27388 -31.90721 (275*2π)/3371 weeks
276-1.70292 -39.38214 (276*2π)/3371 weeks
2771.42868 -37.82169 (277*2π)/3371 weeks
2782.65791 -41.85894 (278*2π)/3371 weeks
27915.43649 -40.30075 (279*2π)/3371 weeks
2807.63605 -27.92635 (280*2π)/3371 weeks
281-4.36842 -30.7463 (281*2π)/3371 weeks
282-4.90823 -48.22594 (282*2π)/3371 weeks
2834.70119 -52.79955 (283*2π)/3371 weeks
28416.24841 -48.70574 (284*2π)/3371 weeks
2859.71546 -37.13257 (285*2π)/3371 weeks
286-6.70294 -42.20584 (286*2π)/3371 weeks
287-12.57106 -69.79957 (287*2π)/3371 weeks
28817.47832 -90.66348 (288*2π)/3371 weeks
28943.48878 -75.99532 (289*2π)/3371 weeks
29047.99257 -63.37714 (290*2π)/3371 weeks
29156.60316 -52.47505 (291*2π)/3371 weeks
29255.04729 -38.44385 (292*2π)/3371 weeks
29352.65519 -24.4812 (293*2π)/3371 weeks
29440.95346 -12.65482 (294*2π)/3371 weeks
29524.62588 -9.92181 (295*2π)/3371 weeks
2963.7646 -14.32399 (296*2π)/3371 weeks
2974.41586 -40.18722 (297*2π)/3371 weeks
29812.54998 -41.20266 (298*2π)/3371 weeks
29920.1834 -36.35658 (299*2π)/3371 weeks
3006.79033 -28.57218 (300*2π)/3371 weeks
301-10.61919 -38.74383 (301*2π)/3371 weeks
302-11.29578 -69.36845 (302*2π)/3371 weeks
30315.45453 -83.34122 (303*2π)/3371 weeks
30441.40252 -68.75219 (304*2π)/3371 weeks
30529.9311 -41.97573 (305*2π)/3371 weeks
3068.60943 -55.0024 (306*2π)/3371 weeks
30719.98847 -72.48516 (307*2π)/3371 weeks
30835.8457 -71.86854 (308*2π)/3371 weeks
30946.38085 -63.43347 (309*2π)/3371 weeks
31056.22462 -38.19843 (310*2π)/3371 weeks
31129.01047 -20.36039 (311*2π)/3371 weeks
3129.26389 -19.02344 (312*2π)/3371 weeks
313-13.27639 -30.47147 (313*2π)/3371 weeks
314-28.21125 -46.02546 (314*2π)/3371 weeks
315-38.02952 -69.31227 (315*2π)/3371 weeks
316-36.80213 -95.74928 (316*2π)/3371 weeks
317-27.05685 -123.033 (317*2π)/3371 weeks
3183.98074 -132.6129 (318*2π)/3371 weeks
31915.54208 -132.3956 (319*2π)/3371 weeks
32039.88977 -122.6353 (320*2π)/3371 weeks
32123.64023 -94.20229 (321*2π)/3371 weeks
322-7.49454 -101.9799 (322*2π)/3371 weeks
323-15.51845 -151.366 (323*2π)/3371 weeks
32422.0961 -161.1603 (324*2π)/3371 weeks
32527.47725 -134.4354 (325*2π)/3371 weeks
326-13.56907 -137.0151 (326*2π)/3371 weeks
327-39.25397 -157.8599 (327*2π)/3371 weeks
328-102.7381 -216.1338 (328*2π)/3371 weeks
329-107.2726 -351.1909 (329*2π)/3371 weeks
330-8.9876 -493.2559 (330*2π)/3371 weeks
331177.5404 -522.2471 (331*2π)/3371 weeks
332261.3917 -434.8492 (332*2π)/3371 weeks
333202.3633 -405.9078 (333*2π)/3371 weeks
334228.6099 -639.1385 (334*2π)/3371 weeks
335528.9603 -785.3643 (335*2π)/3371 weeks



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