Back to list of Stocks    See Also: Seasonal Analysis of GEVOGenetic Algorithms Stock Portfolio Generator, and Best Months to Buy/Sell Stocks

Fourier Analysis of GEVO (Gevo)


GEVO (Gevo) appears to have interesting cyclic behaviour every 35 weeks (161.0294*sine), 25 weeks (157.9237*sine), and 27 weeks (145.4531*sine).

GEVO (Gevo) has an average price of 917.46 (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 10/16/2017 for GEVO (Gevo), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0917.4595   0 
11,030.283 883.4748 (1*2π)/350350 weeks
2531.8268 762.3079 (2*2π)/350175 weeks
3245.3082 641.7101 (3*2π)/350117 weeks
4179.2938 410.1004 (4*2π)/35088 weeks
5254.0631 404.7559 (5*2π)/35070 weeks
6202.9193 485.1095 (6*2π)/35058 weeks
734.3614 498.0252 (7*2π)/35050 weeks
8-88.25363 381.3768 (8*2π)/35044 weeks
9-110.0863 248.4424 (9*2π)/35039 weeks
10-58.24251 161.0294 (10*2π)/35035 weeks
11-22.18384 143.0149 (11*2π)/35032 weeks
129.42929 122.2902 (12*2π)/35029 weeks
1330.07059 145.4531 (13*2π)/35027 weeks
145.86341 157.9237 (14*2π)/35025 weeks
15-21.44348 121.893 (15*2π)/35023 weeks
165.88228 92.67558 (16*2π)/35022 weeks
1734.37849 96.08379 (17*2π)/35021 weeks
1830.90821 126.0944 (18*2π)/35019 weeks
1911.10799 125.6435 (19*2π)/35018 weeks
20-2.54706 129.4678 (20*2π)/35018 weeks
21-29.85661 111.7981 (21*2π)/35017 weeks
22-36.49698 87.83192 (22*2π)/35016 weeks
23-35.79369 63.14885 (23*2π)/35015 weeks
24-25.63111 42.30897 (24*2π)/35015 weeks
25-11.74595 28.29245 (25*2π)/35014 weeks
269.77922 18.32416 (26*2π)/35013 weeks
2727.86955 19.60726 (27*2π)/35013 weeks
2853.66427 35.29657 (28*2π)/35013 weeks
2945.66599 60.39307 (29*2π)/35012 weeks
3036.01411 68.31953 (30*2π)/35012 weeks
3121.63264 70.43285 (31*2π)/35011 weeks
328.31771 57.72818 (32*2π)/35011 weeks
3322.4413 39.83465 (33*2π)/35011 weeks
3441.60395 57.77378 (34*2π)/35010 weeks
3523.36975 79.40246 (35*2π)/35010 weeks
36-3.21168 74.48754 (36*2π)/35010 weeks
37-14.73905 46.99245 (37*2π)/3509 weeks
38-.14746 29.55343 (38*2π)/3509 weeks
3915.57116 28.95403 (39*2π)/3509 weeks
4016.02206 40.56 (40*2π)/3509 weeks
4110.75761 39.22317 (41*2π)/3509 weeks
42-2.01922 29.70751 (42*2π)/3508 weeks
4313.44882 9.33634 (43*2π)/3508 weeks
4428.90501 9.49455 (44*2π)/3508 weeks
4543.91424 15.52403 (45*2π)/3508 weeks
4652.61773 27.9816 (46*2π)/3508 weeks
4753.54427 39.31238 (47*2π)/3507 weeks
4852.9484 54.03024 (48*2π)/3507 weeks
4945.42659 62.21062 (49*2π)/3507 weeks
5040.10353 76.00722 (50*2π)/3507 weeks
5112.96376 87.0528 (51*2π)/3507 weeks
52-12.79168 64.89156 (52*2π)/3507 weeks
53-5.96597 40.17054 (53*2π)/3507 weeks
549.27554 35.72951 (54*2π)/3506 weeks
5515.85557 46.28487 (55*2π)/3506 weeks
565.24831 51.1397 (56*2π)/3506 weeks
57-3.31541 47.52935 (57*2π)/3506 weeks
58-6.16028 31.64314 (58*2π)/3506 weeks
595.3262 26.9698 (59*2π)/3506 weeks
6015.70794 34.48441 (60*2π)/3506 weeks
614.49465 42.20631 (61*2π)/3506 weeks
621.41889 37.1364 (62*2π)/3506 weeks
63.84084 37.31182 (63*2π)/3506 weeks
64-6.36001 33.78379 (64*2π)/3505 weeks
65-6.11064 29.92891 (65*2π)/3505 weeks
66-9.96608 21.5794 (66*2π)/3505 weeks
67-2.77713 15.83167 (67*2π)/3505 weeks
68-1.88953 16.08205 (68*2π)/3505 weeks
691.06037 9.49551 (69*2π)/3505 weeks
709.27818 12.12357 (70*2π)/3505 weeks
717.34014 14.82464 (71*2π)/3505 weeks
726.98181 12.61854 (72*2π)/3505 weeks
739.33195 10.8015 (73*2π)/3505 weeks
7415.00029 11.24687 (74*2π)/3505 weeks
7510.95215 17.23554 (75*2π)/3505 weeks
769.94665 10.53881 (76*2π)/3505 weeks
7712.7165 9.15829 (77*2π)/3505 weeks
7819.38956 6.63373 (78*2π)/3504 weeks
7924.91254 15.73422 (79*2π)/3504 weeks
8017.24775 22.30799 (80*2π)/3504 weeks
8113.11724 16.77464 (81*2π)/3504 weeks
8214.1475 15.11069 (82*2π)/3504 weeks
8318.13483 11.33461 (83*2π)/3504 weeks
8422.00948 21.40337 (84*2π)/3504 weeks
8510.68609 23.71702 (85*2π)/3504 weeks
862.1317 12.46274 (86*2π)/3504 weeks
8712.8341 -.64745 (87*2π)/3504 weeks
8829.13545 .53081 (88*2π)/3504 weeks
8934.61118 15.86631 (89*2π)/3504 weeks
9030.37502 24.84393 (90*2π)/3504 weeks
9120.9071 27.23425 (91*2π)/3504 weeks
9219.9525 25.59907 (92*2π)/3504 weeks
9318.61843 26.12482 (93*2π)/3504 weeks
9413.47271 30.1382 (94*2π)/3504 weeks
955.6921 25.3285 (95*2π)/3504 weeks
965.09705 15.45618 (96*2π)/3504 weeks
9712.35896 9.51139 (97*2π)/3504 weeks
9823.12614 13.78521 (98*2π)/3504 weeks
9922.42037 22.47209 (99*2π)/3504 weeks
10018.63092 28.50287 (100*2π)/3504 weeks
1018.87407 27.97631 (101*2π)/3503 weeks
1029.73838 19.96316 (102*2π)/3503 weeks
10313.35708 21.85488 (103*2π)/3503 weeks
10416.15881 24.2119 (104*2π)/3503 weeks
10513.178 35.80928 (105*2π)/3503 weeks
106-3.10643 37.00756 (106*2π)/3503 weeks
107-11.73056 24.79928 (107*2π)/3503 weeks
108-9.00839 15.57495 (108*2π)/3503 weeks
109-6.30823 14.38808 (109*2π)/3503 weeks
110-9.71472 8.13605 (110*2π)/3503 weeks
111-4.44456 1.67442 (111*2π)/3503 weeks
1123.97832 -1.13214 (112*2π)/3503 weeks
1137.92731 5.31925 (113*2π)/3503 weeks
1147.13852 9.52459 (114*2π)/3503 weeks
115-.24629 9.25662 (115*2π)/3503 weeks
116-.12547 .32924 (116*2π)/3503 weeks
1178.81767 1.6202 (117*2π)/3503 weeks
1184.46472 4.18661 (118*2π)/3503 weeks
1196.94352 3.36816 (119*2π)/3503 weeks
1201.64071 3.38914 (120*2π)/3503 weeks
1212.19539 -5.48531 (121*2π)/3503 weeks
12210.125 -9.17606 (122*2π)/3503 weeks
12319.76861 -6.4186 (123*2π)/3503 weeks
12421.75057 4.88129 (124*2π)/3503 weeks
12513.81025 10.20174 (125*2π)/3503 weeks
1267.40458 6.74299 (126*2π)/3503 weeks
1275.66196 2.52445 (127*2π)/3503 weeks
1286.09514 -3.40747 (128*2π)/3503 weeks
1299.94466 -7.123 (129*2π)/3503 weeks
13016.21955 -8.57972 (130*2π)/3503 weeks
13120.41383 -5.82099 (131*2π)/3503 weeks
13223.54661 -5.06772 (132*2π)/3503 weeks
13329.74591 1.14892 (133*2π)/3503 weeks
13425.52831 12.88934 (134*2π)/3503 weeks
13512.20065 10.23732 (135*2π)/3503 weeks
13614.15136 1.45134 (136*2π)/3503 weeks
13717.3682 -2.18883 (137*2π)/3503 weeks
13828.6591 .05101 (138*2π)/3503 weeks
13926.39161 11.91265 (139*2π)/3503 weeks
14019.2167 12.21637 (140*2π)/3503 weeks
14117.35381 9.46779 (141*2π)/3502 weeks
14220.77369 5.97747 (142*2π)/3502 weeks
14324.81594 13.26832 (143*2π)/3502 weeks
14419.80156 18.24249 (144*2π)/3502 weeks
14515.3453 19.32591 (145*2π)/3502 weeks
1469.55588 22.42187 (146*2π)/3502 weeks
147-.254 15.69101 (147*2π)/3502 weeks
1481.3135 6.54885 (148*2π)/3502 weeks
1493.94777 2.93021 (149*2π)/3502 weeks
1509.92218 -.63245 (150*2π)/3502 weeks
15114.60029 4.82782 (151*2π)/3502 weeks
15212.41131 8.13975 (152*2π)/3502 weeks
15310.54611 10.38521 (153*2π)/3502 weeks
1542.16165 9.70735 (154*2π)/3502 weeks
1551.99854 -.50691 (155*2π)/3502 weeks
1569.23979 -3.73477 (156*2π)/3502 weeks
15714.16797 -.50456 (157*2π)/3502 weeks
15815.71938 4.10785 (158*2π)/3502 weeks
15911.46396 9.27073 (159*2π)/3502 weeks
1604.60504 7.80427 (160*2π)/3502 weeks
1612.33135 -.17449 (161*2π)/3502 weeks
1629.08044 -3.74758 (162*2π)/3502 weeks
16311.0161 3.48367 (163*2π)/3502 weeks
1642.13064 -.43268 (164*2π)/3502 weeks
1655.89039 -7.15908 (165*2π)/3502 weeks
16610.93268 -11.41208 (166*2π)/3502 weeks
16720.41145 -9.10528 (167*2π)/3502 weeks
16822.14308 1.00336 (168*2π)/3502 weeks
16916.95095 2.87349 (169*2π)/3502 weeks
17014.96006 4.364 (170*2π)/3502 weeks
17112.10665 2.62452 (171*2π)/3502 weeks
17213.40298 .0636 (172*2π)/3502 weeks
17315.7851 4.22213 (173*2π)/3502 weeks
1749.51996 7.48669 (174*2π)/3502 weeks
1752.66246   (175*2π)/3502 weeks
1769.51996 -7.48669 (176*2π)/3502 weeks
17715.7851 -4.22213 (177*2π)/3502 weeks
17813.40298 -.0636 (178*2π)/3502 weeks
17912.10665 -2.62452 (179*2π)/3502 weeks
18014.96006 -4.364 (180*2π)/3502 weeks
18116.95095 -2.87349 (181*2π)/3502 weeks
18222.14308 -1.00336 (182*2π)/3502 weeks
18320.41145 9.10528 (183*2π)/3502 weeks
18410.93268 11.41208 (184*2π)/3502 weeks
1855.89039 7.15908 (185*2π)/3502 weeks
1862.13064 .43268 (186*2π)/3502 weeks
18711.0161 -3.48367 (187*2π)/3502 weeks
1889.08044 3.74758 (188*2π)/3502 weeks
1892.33135 .17449 (189*2π)/3502 weeks
1904.60504 -7.80427 (190*2π)/3502 weeks
19111.46396 -9.27073 (191*2π)/3502 weeks
19215.71938 -4.10785 (192*2π)/3502 weeks
19314.16797 .50456 (193*2π)/3502 weeks
1949.23979 3.73477 (194*2π)/3502 weeks
1951.99854 .50691 (195*2π)/3502 weeks
1962.16165 -9.70735 (196*2π)/3502 weeks
19710.54611 -10.38521 (197*2π)/3502 weeks
19812.41131 -8.13975 (198*2π)/3502 weeks
19914.60029 -4.82782 (199*2π)/3502 weeks
2009.92218 .63245 (200*2π)/3502 weeks
2013.94777 -2.93021 (201*2π)/3502 weeks
2021.3135 -6.54885 (202*2π)/3502 weeks
203-.254 -15.69101 (203*2π)/3502 weeks
2049.55588 -22.42187 (204*2π)/3502 weeks
20515.3453 -19.32591 (205*2π)/3502 weeks
20619.80156 -18.24249 (206*2π)/3502 weeks
20724.81594 -13.26832 (207*2π)/3502 weeks
20820.77369 -5.97747 (208*2π)/3502 weeks
20917.35381 -9.46779 (209*2π)/3502 weeks
21019.2167 -12.21637 (210*2π)/3502 weeks
21126.39161 -11.91265 (211*2π)/3502 weeks
21228.6591 -.05101 (212*2π)/3502 weeks
21317.3682 2.18883 (213*2π)/3502 weeks
21414.15136 -1.45134 (214*2π)/3502 weeks
21512.20065 -10.23732 (215*2π)/3502 weeks
21625.52831 -12.88934 (216*2π)/3502 weeks
21729.74591 -1.14892 (217*2π)/3502 weeks
21823.54661 5.06772 (218*2π)/3502 weeks
21920.41383 5.82099 (219*2π)/3502 weeks
22016.21955 8.57972 (220*2π)/3502 weeks
2219.94466 7.123 (221*2π)/3502 weeks
2226.09514 3.40747 (222*2π)/3502 weeks
2235.66196 -2.52445 (223*2π)/3502 weeks
2247.40458 -6.74299 (224*2π)/3502 weeks
22513.81025 -10.20174 (225*2π)/3502 weeks
22621.75057 -4.88129 (226*2π)/3502 weeks
22719.76861 6.4186 (227*2π)/3502 weeks
22810.125 9.17606 (228*2π)/3502 weeks
2292.19539 5.48531 (229*2π)/3502 weeks
2301.64071 -3.38914 (230*2π)/3502 weeks
2316.94352 -3.36816 (231*2π)/3502 weeks
2324.46472 -4.18661 (232*2π)/3502 weeks
2338.81767 -1.6202 (233*2π)/3502 weeks
234-.12547 -.32924 (234*2π)/3501 weeks
235-.24629 -9.25662 (235*2π)/3501 weeks
2367.13852 -9.52459 (236*2π)/3501 weeks
2377.92731 -5.31925 (237*2π)/3501 weeks
2383.97832 1.13214 (238*2π)/3501 weeks
239-4.44456 -1.67442 (239*2π)/3501 weeks
240-9.71472 -8.13605 (240*2π)/3501 weeks
241-6.30823 -14.38808 (241*2π)/3501 weeks
242-9.00839 -15.57495 (242*2π)/3501 weeks
243-11.73056 -24.79928 (243*2π)/3501 weeks
244-3.10643 -37.00756 (244*2π)/3501 weeks
24513.178 -35.80928 (245*2π)/3501 weeks
24616.15881 -24.2119 (246*2π)/3501 weeks
24713.35708 -21.85488 (247*2π)/3501 weeks
2489.73838 -19.96316 (248*2π)/3501 weeks
2498.87407 -27.97631 (249*2π)/3501 weeks
25018.63092 -28.50287 (250*2π)/3501 weeks
25122.42037 -22.47209 (251*2π)/3501 weeks
25223.12614 -13.78521 (252*2π)/3501 weeks
25312.35896 -9.51139 (253*2π)/3501 weeks
2545.09705 -15.45618 (254*2π)/3501 weeks
2555.6921 -25.3285 (255*2π)/3501 weeks
25613.47271 -30.1382 (256*2π)/3501 weeks
25718.61843 -26.12482 (257*2π)/3501 weeks
25819.9525 -25.59907 (258*2π)/3501 weeks
25920.9071 -27.23425 (259*2π)/3501 weeks
26030.37502 -24.84393 (260*2π)/3501 weeks
26134.61118 -15.86631 (261*2π)/3501 weeks
26229.13545 -.53081 (262*2π)/3501 weeks
26312.8341 .64745 (263*2π)/3501 weeks
2642.1317 -12.46274 (264*2π)/3501 weeks
26510.68609 -23.71702 (265*2π)/3501 weeks
26622.00948 -21.40337 (266*2π)/3501 weeks
26718.13483 -11.33461 (267*2π)/3501 weeks
26814.1475 -15.11069 (268*2π)/3501 weeks
26913.11724 -16.77464 (269*2π)/3501 weeks
27017.24775 -22.30799 (270*2π)/3501 weeks
27124.91254 -15.73422 (271*2π)/3501 weeks
27219.38956 -6.63373 (272*2π)/3501 weeks
27312.7165 -9.15829 (273*2π)/3501 weeks
2749.94665 -10.53881 (274*2π)/3501 weeks
27510.95215 -17.23554 (275*2π)/3501 weeks
27615.00029 -11.24687 (276*2π)/3501 weeks
2779.33195 -10.8015 (277*2π)/3501 weeks
2786.98181 -12.61854 (278*2π)/3501 weeks
2797.34014 -14.82464 (279*2π)/3501 weeks
2809.27818 -12.12357 (280*2π)/3501 weeks
2811.06037 -9.49551 (281*2π)/3501 weeks
282-1.88953 -16.08205 (282*2π)/3501 weeks
283-2.77713 -15.83167 (283*2π)/3501 weeks
284-9.96608 -21.5794 (284*2π)/3501 weeks
285-6.11064 -29.92891 (285*2π)/3501 weeks
286-6.36001 -33.78379 (286*2π)/3501 weeks
287.84084 -37.31182 (287*2π)/3501 weeks
2881.41889 -37.1364 (288*2π)/3501 weeks
2894.49465 -42.20631 (289*2π)/3501 weeks
29015.70794 -34.48441 (290*2π)/3501 weeks
2915.3262 -26.9698 (291*2π)/3501 weeks
292-6.16028 -31.64314 (292*2π)/3501 weeks
293-3.31541 -47.52935 (293*2π)/3501 weeks
2945.24831 -51.1397 (294*2π)/3501 weeks
29515.85557 -46.28487 (295*2π)/3501 weeks
2969.27554 -35.72951 (296*2π)/3501 weeks
297-5.96597 -40.17054 (297*2π)/3501 weeks
298-12.79168 -64.89156 (298*2π)/3501 weeks
29912.96376 -87.0528 (299*2π)/3501 weeks
30040.10353 -76.00722 (300*2π)/3501 weeks
30145.42659 -62.21062 (301*2π)/3501 weeks
30252.9484 -54.03024 (302*2π)/3501 weeks
30353.54427 -39.31238 (303*2π)/3501 weeks
30452.61773 -27.9816 (304*2π)/3501 weeks
30543.91424 -15.52403 (305*2π)/3501 weeks
30628.90501 -9.49455 (306*2π)/3501 weeks
30713.44882 -9.33634 (307*2π)/3501 weeks
308-2.01922 -29.70751 (308*2π)/3501 weeks
30910.75761 -39.22317 (309*2π)/3501 weeks
31016.02206 -40.56 (310*2π)/3501 weeks
31115.57116 -28.95403 (311*2π)/3501 weeks
312-.14746 -29.55343 (312*2π)/3501 weeks
313-14.73905 -46.99245 (313*2π)/3501 weeks
314-3.21168 -74.48754 (314*2π)/3501 weeks
31523.36975 -79.40246 (315*2π)/3501 weeks
31641.60395 -57.77378 (316*2π)/3501 weeks
31722.4413 -39.83465 (317*2π)/3501 weeks
3188.31771 -57.72818 (318*2π)/3501 weeks
31921.63264 -70.43285 (319*2π)/3501 weeks
32036.01411 -68.31953 (320*2π)/3501 weeks
32145.66599 -60.39307 (321*2π)/3501 weeks
32253.66427 -35.29657 (322*2π)/3501 weeks
32327.86955 -19.60726 (323*2π)/3501 weeks
3249.77922 -18.32416 (324*2π)/3501 weeks
325-11.74595 -28.29245 (325*2π)/3501 weeks
326-25.63111 -42.30897 (326*2π)/3501 weeks
327-35.79369 -63.14885 (327*2π)/3501 weeks
328-36.49698 -87.83192 (328*2π)/3501 weeks
329-29.85661 -111.7981 (329*2π)/3501 weeks
330-2.54706 -129.4678 (330*2π)/3501 weeks
33111.10799 -125.6435 (331*2π)/3501 weeks
33230.90821 -126.0944 (332*2π)/3501 weeks
33334.37849 -96.08379 (333*2π)/3501 weeks
3345.88228 -92.67558 (334*2π)/3501 weeks
335-21.44348 -121.893 (335*2π)/3501 weeks
3365.86341 -157.9237 (336*2π)/3501 weeks
33730.07059 -145.4531 (337*2π)/3501 weeks
3389.42929 -122.2902 (338*2π)/3501 weeks
339-22.18384 -143.0149 (339*2π)/3501 weeks
340-58.24251 -161.0294 (340*2π)/3501 weeks
341-110.0863 -248.4424 (341*2π)/3501 weeks
342-88.25363 -381.3768 (342*2π)/3501 weeks
34334.3614 -498.0252 (343*2π)/3501 weeks
344202.9193 -485.1095 (344*2π)/3501 weeks
345254.0631 -404.7559 (345*2π)/3501 weeks
346179.2938 -410.1004 (346*2π)/3501 weeks
347245.3082 -641.7101 (347*2π)/3501 weeks
348531.8268 -762.3079 (348*2π)/3501 weeks



Back to list of Stocks