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Fourier Analysis of GEVO (Gevo, Inc.)


GEVO (Gevo, Inc.) appears to have interesting cyclic behaviour every 25 weeks (170.0644*sine), 27 weeks (162.4356*sine), and 32 weeks (157.7859*sine).

GEVO (Gevo, Inc.) has an average price of 1,003.46 (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 3/20/2017 for GEVO (Gevo, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,003.464   0 
11,039.704 964.6314 (1*2π)/320320 weeks
2521.8693 818.1901 (2*2π)/320160 weeks
3209.4179 628.2239 (3*2π)/320107 weeks
4239.8719 413.2327 (4*2π)/32080 weeks
5265.3686 480.1674 (5*2π)/32064 weeks
6123.8549 562.0437 (6*2π)/32053 weeks
7-64.14532 469.5594 (7*2π)/32046 weeks
8-122.0517 306.2627 (8*2π)/32040 weeks
9-74.89956 183.8454 (9*2π)/32036 weeks
10-25.49077 157.7859 (10*2π)/32032 weeks
1111.80228 133.8237 (11*2π)/32029 weeks
1231.28689 162.4356 (12*2π)/32027 weeks
13-3.12393 170.0644 (13*2π)/32025 weeks
14-17.22247 116.5834 (14*2π)/32023 weeks
1518.08792 99.13314 (15*2π)/32021 weeks
1643.83672 123.3952 (16*2π)/32020 weeks
1718.27425 139.9641 (17*2π)/32019 weeks
185.07158 139.2737 (18*2π)/32018 weeks
19-28.67525 129.1852 (19*2π)/32017 weeks
20-39.22939 99.28204 (20*2π)/32016 weeks
21-39.30375 69.85662 (21*2π)/32015 weeks
22-27.11745 45.05087 (22*2π)/32015 weeks
23-10.19403 28.48674 (23*2π)/32014 weeks
2416.62689 20.71894 (24*2π)/32013 weeks
2540.28362 22.14744 (25*2π)/32013 weeks
2658.76936 54.93066 (26*2π)/32012 weeks
2744.24964 70.3611 (27*2π)/32012 weeks
2829.75502 77.63245 (28*2π)/32011 weeks
2911.74657 69.64149 (29*2π)/32011 weeks
3019.25954 44.95686 (30*2π)/32011 weeks
3145.24308 59.96712 (31*2π)/32010 weeks
3225.50377 86.83334 (32*2π)/32010 weeks
33-5.96378 79.58987 (33*2π)/32010 weeks
34-14.23593 45.75775 (34*2π)/3209 weeks
354.66231 30.62872 (35*2π)/3209 weeks
3620.9877 36.77353 (36*2π)/3209 weeks
3713.38881 43.53505 (37*2π)/3209 weeks
384.25495 42.12296 (38*2π)/3208 weeks
395.85778 13.58622 (39*2π)/3208 weeks
4027.75099 10.46609 (40*2π)/3208 weeks
4145.99812 15.19176 (41*2π)/3208 weeks
4257.22027 29.5573 (42*2π)/3208 weeks
4358.69689 43.37674 (43*2π)/3207 weeks
4456.68555 60.86007 (44*2π)/3207 weeks
4549.00122 69.99867 (45*2π)/3207 weeks
4637.53528 89.49367 (46*2π)/3207 weeks
47-.8737 89.5035 (47*2π)/3207 weeks
48-13.36174 54.73327 (48*2π)/3207 weeks
493.6901 38.69386 (49*2π)/3207 weeks
5017.27528 45.80714 (50*2π)/3206 weeks
518.29561 56.57457 (51*2π)/3206 weeks
52-2.10048 52.79008 (52*2π)/3206 weeks
53-7.11475 35.20205 (53*2π)/3206 weeks
546.50765 29.42491 (54*2π)/3206 weeks
5516.78073 40.88045 (55*2π)/3206 weeks
562.94742 44.26311 (56*2π)/3206 weeks
571.5179 39.78525 (57*2π)/3206 weeks
58-2.65255 41.29311 (58*2π)/3206 weeks
59-6.23681 33.06852 (59*2π)/3205 weeks
60-10.73238 28.58697 (60*2π)/3205 weeks
61-5.34081 17.49072 (61*2π)/3205 weeks
62-1.64593 18.20934 (62*2π)/3205 weeks
63.30598 10.91317 (63*2π)/3205 weeks
6410.12409 13.24299 (64*2π)/3205 weeks
657.92237 16.11295 (65*2π)/3205 weeks
668.06834 13.19231 (66*2π)/3205 weeks
6711.18688 11.08047 (67*2π)/3205 weeks
6817.13667 15.97292 (68*2π)/3205 weeks
699.08094 15.36324 (69*2π)/3205 weeks
7013.25294 10.8246 (70*2π)/3205 weeks
7117.38311 7.31122 (71*2π)/3205 weeks
7227.25433 14.10729 (72*2π)/3204 weeks
7320.61727 24.32979 (73*2π)/3204 weeks
7414.24318 18.70025 (74*2π)/3204 weeks
7515.44129 16.39494 (75*2π)/3204 weeks
7621.29018 12.72157 (76*2π)/3204 weeks
7721.60709 25.69847 (77*2π)/3204 weeks
788.03268 24.0908 (78*2π)/3204 weeks
794.94757 5.50954 (79*2π)/3204 weeks
8022.35985 -2.14463 (80*2π)/3204 weeks
8138.45187 10.71017 (81*2π)/3204 weeks
8234.863 24.20574 (82*2π)/3204 weeks
8324.80548 30.79178 (83*2π)/3204 weeks
8422.03845 27.70724 (84*2π)/3204 weeks
8520.38156 28.47455 (85*2π)/3204 weeks
8614.03433 32.9252 (86*2π)/3204 weeks
875.46529 26.27125 (87*2π)/3204 weeks
887.14093 14.71845 (88*2π)/3204 weeks
8917.93131 9.87096 (89*2π)/3204 weeks
9026.00991 20.26924 (90*2π)/3204 weeks
9123.04159 27.93537 (91*2π)/3204 weeks
9213.63302 32.74478 (92*2π)/3203 weeks
938.77328 23.36374 (93*2π)/3203 weeks
9414.50937 23.42913 (94*2π)/3203 weeks
9517.20109 25.82732 (95*2π)/3203 weeks
9614.3792 39.18226 (96*2π)/3203 weeks
97-4.91836 39.61598 (97*2π)/3203 weeks
98-12.7588 24.49091 (98*2π)/3203 weeks
99-8.41881 15.68364 (99*2π)/3203 weeks
100-8.87416 15.05032 (100*2π)/3203 weeks
101-8.12472 4.48497 (101*2π)/3203 weeks
102-.76653 -1.00333 (102*2π)/3203 weeks
1038.85545 3.61584 (103*2π)/3203 weeks
1048.45435 8.84452 (104*2π)/3203 weeks
105.89298 11.204 (105*2π)/3203 weeks
106-.61329 .9185 (106*2π)/3203 weeks
1079.73563 2.09648 (107*2π)/3203 weeks
1084.73758 3.80105 (108*2π)/3203 weeks
1097.11718 4.75706 (109*2π)/3203 weeks
110.48269 .96407 (110*2π)/3203 weeks
1115.77969 -8.53856 (111*2π)/3203 weeks
11216.14984 -9.91909 (112*2π)/3203 weeks
11324.86836 .26052 (113*2π)/3203 weeks
11418.18667 10.52219 (114*2π)/3203 weeks
1158.96379 8.58932 (115*2π)/3203 weeks
1166.43073 3.34026 (116*2π)/3203 weeks
1176.53862 -3.56344 (117*2π)/3203 weeks
11811.197 -8.03174 (118*2π)/3203 weeks
11918.71763 -9.0343 (119*2π)/3203 weeks
12022.82034 -5.87326 (120*2π)/3203 weeks
12128.30522 -4.55052 (121*2π)/3203 weeks
12232.69508 7.06145 (122*2π)/3203 weeks
12319.26146 15.69681 (123*2π)/3203 weeks
12413.40338 3.65108 (124*2π)/3203 weeks
12517.56637 -.65064 (125*2π)/3203 weeks
12629.3166 -2.26683 (126*2π)/3203 weeks
12729.74138 12.35241 (127*2π)/3203 weeks
12821.04894 13.35772 (128*2π)/3203 weeks
12918.88679 10.03283 (129*2π)/3202 weeks
13024.45542 7.05657 (130*2π)/3202 weeks
13125.84988 16.87539 (131*2π)/3202 weeks
13219.64027 20.69686 (132*2π)/3202 weeks
13315.13428 22.4126 (133*2π)/3202 weeks
1343.12702 22.20325 (134*2π)/3202 weeks
135-.09262 9.63117 (135*2π)/3202 weeks
1363.73819 4.36532 (136*2π)/3202 weeks
1379.36906 -.62 (137*2π)/3202 weeks
13816.00007 4.84465 (138*2π)/3202 weeks
13913.46737 8.95805 (139*2π)/3202 weeks
14010.92173 11.91447 (140*2π)/3202 weeks
141.85147 8.24947 (141*2π)/3202 weeks
1424.48963 -2.63548 (142*2π)/3202 weeks
14312.97821 -3.17721 (143*2π)/3202 weeks
14416.59869 1.62942 (144*2π)/3202 weeks
14515.39816 8.4672 (145*2π)/3202 weeks
1467.29194 9.78672 (146*2π)/3202 weeks
1472.01278 1.95676 (147*2π)/3202 weeks
1488.81953 -4.25828 (148*2π)/3202 weeks
14912.33829 3.5591 (149*2π)/3202 weeks
1502.27494 -1.29795 (150*2π)/3202 weeks
1517.02606 -8.34696 (151*2π)/3202 weeks
15214.6058 -12.96043 (152*2π)/3202 weeks
15324.70369 -6.55562 (153*2π)/3202 weeks
15420.91841 3.41515 (154*2π)/3202 weeks
15518.0001 3.81699 (155*2π)/3202 weeks
15613.84732 3.96497 (156*2π)/3202 weeks
15713.64742 .66289 (157*2π)/3202 weeks
15817.53535 3.27243 (158*2π)/3202 weeks
15911.30512 8.22646 (159*2π)/3202 weeks
1602.91649   (160*2π)/3202 weeks
16111.30512 -8.22646 (161*2π)/3202 weeks
16217.53535 -3.27243 (162*2π)/3202 weeks
16313.64742 -.66289 (163*2π)/3202 weeks
16413.84732 -3.96497 (164*2π)/3202 weeks
16518.0001 -3.81699 (165*2π)/3202 weeks
16620.91841 -3.41515 (166*2π)/3202 weeks
16724.70369 6.55562 (167*2π)/3202 weeks
16814.6058 12.96043 (168*2π)/3202 weeks
1697.02606 8.34696 (169*2π)/3202 weeks
1702.27494 1.29795 (170*2π)/3202 weeks
17112.33829 -3.5591 (171*2π)/3202 weeks
1728.81953 4.25828 (172*2π)/3202 weeks
1732.01278 -1.95676 (173*2π)/3202 weeks
1747.29194 -9.78672 (174*2π)/3202 weeks
17515.39816 -8.4672 (175*2π)/3202 weeks
17616.59869 -1.62942 (176*2π)/3202 weeks
17712.97821 3.17721 (177*2π)/3202 weeks
1784.48963 2.63548 (178*2π)/3202 weeks
179.85147 -8.24947 (179*2π)/3202 weeks
18010.92173 -11.91447 (180*2π)/3202 weeks
18113.46737 -8.95805 (181*2π)/3202 weeks
18216.00007 -4.84465 (182*2π)/3202 weeks
1839.36906 .62 (183*2π)/3202 weeks
1843.73819 -4.36532 (184*2π)/3202 weeks
185-.09262 -9.63117 (185*2π)/3202 weeks
1863.12702 -22.20325 (186*2π)/3202 weeks
18715.13428 -22.4126 (187*2π)/3202 weeks
18819.64027 -20.69686 (188*2π)/3202 weeks
18925.84988 -16.87539 (189*2π)/3202 weeks
19024.45542 -7.05657 (190*2π)/3202 weeks
19118.88679 -10.03283 (191*2π)/3202 weeks
19221.04894 -13.35772 (192*2π)/3202 weeks
19329.74138 -12.35241 (193*2π)/3202 weeks
19429.3166 2.26683 (194*2π)/3202 weeks
19517.56637 .65064 (195*2π)/3202 weeks
19613.40338 -3.65108 (196*2π)/3202 weeks
19719.26146 -15.69681 (197*2π)/3202 weeks
19832.69508 -7.06145 (198*2π)/3202 weeks
19928.30522 4.55052 (199*2π)/3202 weeks
20022.82034 5.87326 (200*2π)/3202 weeks
20118.71763 9.0343 (201*2π)/3202 weeks
20211.197 8.03174 (202*2π)/3202 weeks
2036.53862 3.56344 (203*2π)/3202 weeks
2046.43073 -3.34026 (204*2π)/3202 weeks
2058.96379 -8.58932 (205*2π)/3202 weeks
20618.18667 -10.52219 (206*2π)/3202 weeks
20724.86836 -.26052 (207*2π)/3202 weeks
20816.14984 9.91909 (208*2π)/3202 weeks
2095.77969 8.53856 (209*2π)/3202 weeks
210.48269 -.96407 (210*2π)/3202 weeks
2117.11718 -4.75706 (211*2π)/3202 weeks
2124.73758 -3.80105 (212*2π)/3202 weeks
2139.73563 -2.09648 (213*2π)/3202 weeks
214-.61329 -.9185 (214*2π)/3201 weeks
215.89298 -11.204 (215*2π)/3201 weeks
2168.45435 -8.84452 (216*2π)/3201 weeks
2178.85545 -3.61584 (217*2π)/3201 weeks
218-.76653 1.00333 (218*2π)/3201 weeks
219-8.12472 -4.48497 (219*2π)/3201 weeks
220-8.87416 -15.05032 (220*2π)/3201 weeks
221-8.41881 -15.68364 (221*2π)/3201 weeks
222-12.7588 -24.49091 (222*2π)/3201 weeks
223-4.91836 -39.61598 (223*2π)/3201 weeks
22414.3792 -39.18226 (224*2π)/3201 weeks
22517.20109 -25.82732 (225*2π)/3201 weeks
22614.50937 -23.42913 (226*2π)/3201 weeks
2278.77328 -23.36374 (227*2π)/3201 weeks
22813.63302 -32.74478 (228*2π)/3201 weeks
22923.04159 -27.93537 (229*2π)/3201 weeks
23026.00991 -20.26924 (230*2π)/3201 weeks
23117.93131 -9.87096 (231*2π)/3201 weeks
2327.14093 -14.71845 (232*2π)/3201 weeks
2335.46529 -26.27125 (233*2π)/3201 weeks
23414.03433 -32.9252 (234*2π)/3201 weeks
23520.38156 -28.47455 (235*2π)/3201 weeks
23622.03845 -27.70724 (236*2π)/3201 weeks
23724.80548 -30.79178 (237*2π)/3201 weeks
23834.863 -24.20574 (238*2π)/3201 weeks
23938.45187 -10.71017 (239*2π)/3201 weeks
24022.35985 2.14463 (240*2π)/3201 weeks
2414.94757 -5.50954 (241*2π)/3201 weeks
2428.03268 -24.0908 (242*2π)/3201 weeks
24321.60709 -25.69847 (243*2π)/3201 weeks
24421.29018 -12.72157 (244*2π)/3201 weeks
24515.44129 -16.39494 (245*2π)/3201 weeks
24614.24318 -18.70025 (246*2π)/3201 weeks
24720.61727 -24.32979 (247*2π)/3201 weeks
24827.25433 -14.10729 (248*2π)/3201 weeks
24917.38311 -7.31122 (249*2π)/3201 weeks
25013.25294 -10.8246 (250*2π)/3201 weeks
2519.08094 -15.36324 (251*2π)/3201 weeks
25217.13667 -15.97292 (252*2π)/3201 weeks
25311.18688 -11.08047 (253*2π)/3201 weeks
2548.06834 -13.19231 (254*2π)/3201 weeks
2557.92237 -16.11295 (255*2π)/3201 weeks
25610.12409 -13.24299 (256*2π)/3201 weeks
257.30598 -10.91317 (257*2π)/3201 weeks
258-1.64593 -18.20934 (258*2π)/3201 weeks
259-5.34081 -17.49072 (259*2π)/3201 weeks
260-10.73238 -28.58697 (260*2π)/3201 weeks
261-6.23681 -33.06852 (261*2π)/3201 weeks
262-2.65255 -41.29311 (262*2π)/3201 weeks
2631.5179 -39.78525 (263*2π)/3201 weeks
2642.94742 -44.26311 (264*2π)/3201 weeks
26516.78073 -40.88045 (265*2π)/3201 weeks
2666.50765 -29.42491 (266*2π)/3201 weeks
267-7.11475 -35.20205 (267*2π)/3201 weeks
268-2.10048 -52.79008 (268*2π)/3201 weeks
2698.29561 -56.57457 (269*2π)/3201 weeks
27017.27528 -45.80714 (270*2π)/3201 weeks
2713.6901 -38.69386 (271*2π)/3201 weeks
272-13.36174 -54.73327 (272*2π)/3201 weeks
273-.8737 -89.5035 (273*2π)/3201 weeks
27437.53528 -89.49367 (274*2π)/3201 weeks
27549.00122 -69.99867 (275*2π)/3201 weeks
27656.68555 -60.86007 (276*2π)/3201 weeks
27758.69689 -43.37674 (277*2π)/3201 weeks
27857.22027 -29.5573 (278*2π)/3201 weeks
27945.99812 -15.19176 (279*2π)/3201 weeks
28027.75099 -10.46609 (280*2π)/3201 weeks
2815.85778 -13.58622 (281*2π)/3201 weeks
2824.25495 -42.12296 (282*2π)/3201 weeks
28313.38881 -43.53505 (283*2π)/3201 weeks
28420.9877 -36.77353 (284*2π)/3201 weeks
2854.66231 -30.62872 (285*2π)/3201 weeks
286-14.23593 -45.75775 (286*2π)/3201 weeks
287-5.96378 -79.58987 (287*2π)/3201 weeks
28825.50377 -86.83334 (288*2π)/3201 weeks
28945.24308 -59.96712 (289*2π)/3201 weeks
29019.25954 -44.95686 (290*2π)/3201 weeks
29111.74657 -69.64149 (291*2π)/3201 weeks
29229.75502 -77.63245 (292*2π)/3201 weeks
29344.24964 -70.3611 (293*2π)/3201 weeks
29458.76936 -54.93066 (294*2π)/3201 weeks
29540.28362 -22.14744 (295*2π)/3201 weeks
29616.62689 -20.71894 (296*2π)/3201 weeks
297-10.19403 -28.48674 (297*2π)/3201 weeks
298-27.11745 -45.05087 (298*2π)/3201 weeks
299-39.30375 -69.85662 (299*2π)/3201 weeks
300-39.22939 -99.28204 (300*2π)/3201 weeks
301-28.67525 -129.1852 (301*2π)/3201 weeks
3025.07158 -139.2737 (302*2π)/3201 weeks
30318.27425 -139.9641 (303*2π)/3201 weeks
30443.83672 -123.3952 (304*2π)/3201 weeks
30518.08792 -99.13314 (305*2π)/3201 weeks
306-17.22247 -116.5834 (306*2π)/3201 weeks
307-3.12393 -170.0644 (307*2π)/3201 weeks
30831.28689 -162.4356 (308*2π)/3201 weeks
30911.80228 -133.8237 (309*2π)/3201 weeks
310-25.49077 -157.7859 (310*2π)/3201 weeks
311-74.89956 -183.8454 (311*2π)/3201 weeks
312-122.0517 -306.2627 (312*2π)/3201 weeks
313-64.14532 -469.5594 (313*2π)/3201 weeks
314123.8549 -562.0437 (314*2π)/3201 weeks
315265.3686 -480.1674 (315*2π)/3201 weeks
316239.8719 -413.2327 (316*2π)/3201 weeks
317209.4179 -628.2239 (317*2π)/3201 weeks
318521.8693 -818.1901 (318*2π)/3201 weeks

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