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Fourier Analysis of GEVO (Gevo)


GEVO (Gevo) appears to have interesting cyclic behaviour every 36 weeks (174.6611*sine), 26 weeks (149.5758*sine), and 33 weeks (143.9645*sine).

GEVO (Gevo) has an average price of 884.62 (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 1/16/2018 for GEVO (Gevo), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0884.6171   0 
11,024.901 850.0737 (1*2π)/363363 weeks
2533.1628 741.0331 (2*2π)/363182 weeks
3262.1388 639.9756 (3*2π)/363121 weeks
4162.6307 419.4403 (4*2π)/36391 weeks
5242.5552 378.1014 (5*2π)/36373 weeks
6215.9709 449.0201 (6*2π)/36361 weeks
775.88201 492.6507 (7*2π)/36352 weeks
8-62.23975 406.5309 (8*2π)/36345 weeks
9-107.1337 278.9273 (9*2π)/36340 weeks
10-79.02086 174.6611 (10*2π)/36336 weeks
11-29.22494 143.9645 (11*2π)/36333 weeks
12-8.08676 123.5073 (12*2π)/36330 weeks
1327.02629 126.783 (13*2π)/36328 weeks
1420.59288 149.5758 (14*2π)/36326 weeks
15-11.9106 143.4723 (15*2π)/36324 weeks
16-11.82789 98.71826 (16*2π)/36323 weeks
1715.56329 87.46332 (17*2π)/36321 weeks
1838.74502 103.7007 (18*2π)/36320 weeks
1921.86678 124.002 (19*2π)/36319 weeks
208.60265 120.534 (20*2π)/36318 weeks
21-10.1209 124.3657 (21*2π)/36317 weeks
22-30.76657 102.1269 (22*2π)/36317 weeks
23-35.90316 80.56826 (23*2π)/36316 weeks
24-33.62531 57.75921 (24*2π)/36315 weeks
25-23.27258 39.11008 (25*2π)/36315 weeks
26-10.36602 26.32308 (26*2π)/36314 weeks
2710.19697 17.69265 (27*2π)/36313 weeks
2826.80276 18.9216 (28*2π)/36313 weeks
2951.2406 32.71544 (29*2π)/36313 weeks
3045.01097 57.53251 (30*2π)/36312 weeks
3135.9332 64.97617 (31*2π)/36312 weeks
3222.94273 68.27963 (32*2π)/36311 weeks
339.26486 59.53646 (33*2π)/36311 weeks
3416.32269 39.9395 (34*2π)/36311 weeks
3538.4444 48.26773 (35*2π)/36310 weeks
3629.9757 73.47409 (36*2π)/36310 weeks
374.98509 75.74449 (37*2π)/36310 weeks
38-14.07445 56.16025 (38*2π)/36310 weeks
39-6.50393 32.45035 (39*2π)/3639 weeks
408.47016 26.30692 (40*2π)/3639 weeks
4118.71666 34.70337 (41*2π)/3639 weeks
4211.69042 38.2692 (42*2π)/3639 weeks
435.45839 37.91508 (43*2π)/3638 weeks
44.50408 16.72408 (44*2π)/3638 weeks
4519.81042 9.03452 (45*2π)/3638 weeks
4633.30398 9.81041 (46*2π)/3638 weeks
4745.55288 18.28049 (47*2π)/3638 weeks
4851.28393 30.94631 (48*2π)/3638 weeks
4952.55122 40.55258 (49*2π)/3637 weeks
5049.16884 54.59203 (50*2π)/3637 weeks
5143.3443 61.30169 (51*2π)/3637 weeks
5236.5236 75.84364 (52*2π)/3637 weeks
539.04061 83.28382 (53*2π)/3637 weeks
54-12.77297 60.51278 (54*2π)/3637 weeks
55-5.30432 38.31777 (55*2π)/3637 weeks
568.87142 34.44601 (56*2π)/3636 weeks
5715.42834 44.05171 (57*2π)/3636 weeks
585.78355 49.56738 (58*2π)/3636 weeks
59-1.96764 46.51294 (59*2π)/3636 weeks
60-7.23069 32.88382 (60*2π)/3636 weeks
613.48018 26.1241 (61*2π)/3636 weeks
6213.9631 29.63415 (62*2π)/3636 weeks
637.49104 41.6204 (63*2π)/3636 weeks
641.62165 36.68534 (64*2π)/3636 weeks
651.45315 35.11365 (65*2π)/3636 weeks
66-4.09794 35.58517 (66*2π)/3636 weeks
67-5.35236 29.01064 (67*2π)/3635 weeks
68-9.24936 25.8245 (68*2π)/3635 weeks
69-6.2291 16.19424 (69*2π)/3635 weeks
70-1.16321 16.01104 (70*2π)/3635 weeks
71-1.9355 12.86225 (71*2π)/3635 weeks
725.18238 8.46561 (72*2π)/3635 weeks
738.64707 13.89113 (73*2π)/3635 weeks
746.69688 13.80086 (74*2π)/3635 weeks
757.43697 11.35658 (75*2π)/3635 weeks
769.85522 9.77023 (76*2π)/3635 weeks
7715.22577 12.84638 (77*2π)/3635 weeks
788.95991 15.63299 (78*2π)/3635 weeks
7910.4147 9.76605 (79*2π)/3635 weeks
8012.54358 8.3844 (80*2π)/3635 weeks
8119.7107 6.74322 (81*2π)/3634 weeks
8223.89164 15.86541 (82*2π)/3634 weeks
8316.34807 21.45397 (83*2π)/3634 weeks
8412.6436 16.22296 (84*2π)/3634 weeks
8513.66226 14.64738 (85*2π)/3634 weeks
8616.72212 10.95014 (86*2π)/3634 weeks
8721.96791 19.23813 (87*2π)/3634 weeks
8811.85282 23.35827 (88*2π)/3634 weeks
892.57624 15.35201 (89*2π)/3634 weeks
909.21491 .70354 (90*2π)/3634 weeks
9123.74051 -1.37436 (91*2π)/3634 weeks
9234.00935 11.22454 (92*2π)/3634 weeks
9330.802 21.22005 (93*2π)/3634 weeks
9423.37934 27.31195 (94*2π)/3634 weeks
9519.38663 24.13741 (95*2π)/3634 weeks
9617.89098 24.8654 (96*2π)/3634 weeks
9716.81943 27.7258 (97*2π)/3634 weeks
988.68524 27.66103 (98*2π)/3634 weeks
993.91999 20.34229 (99*2π)/3634 weeks
1007.38651 11.93549 (100*2π)/3634 weeks
10116.2809 8.74574 (101*2π)/3634 weeks
10223.00777 17.01521 (102*2π)/3634 weeks
10320.92725 23.31441 (103*2π)/3634 weeks
10415.62473 28.70483 (104*2π)/3633 weeks
1057.26714 24.85365 (105*2π)/3633 weeks
10610.70856 19.06497 (106*2π)/3633 weeks
10712.94401 21.28009 (107*2π)/3633 weeks
10816.09148 24.39178 (108*2π)/3633 weeks
10911.42464 35.43621 (109*2π)/3633 weeks
110-3.83857 35.22393 (110*2π)/3633 weeks
111-11.34421 23.58661 (111*2π)/3633 weeks
112-8.71612 15.08041 (112*2π)/3633 weeks
113-5.98362 13.83437 (113*2π)/3633 weeks
114-9.47755 8.69115 (114*2π)/3633 weeks
115-4.88007 2.11001 (115*2π)/3633 weeks
1162.21985 -1.38418 (116*2π)/3633 weeks
1177.79649 4.22596 (117*2π)/3633 weeks
1187.43671 7.92225 (118*2π)/3633 weeks
1191.55407 10.34129 (119*2π)/3633 weeks
120-1.53295 2.93963 (120*2π)/3633 weeks
1216.48418 -.97539 (121*2π)/3633 weeks
1226.09175 5.22071 (122*2π)/3633 weeks
1235.72048 1.98666 (123*2π)/3633 weeks
1244.35376 4.82588 (124*2π)/3633 weeks
125.34989 -1.11498 (125*2π)/3633 weeks
1265.70399 -7.82354 (126*2π)/3633 weeks
12713.79185 -8.83612 (127*2π)/3633 weeks
12821.57786 -1.90744 (128*2π)/3633 weeks
12918.55987 7.77336 (129*2π)/3633 weeks
13010.49488 9.38142 (130*2π)/3633 weeks
1316.48644 5.06448 (131*2π)/3633 weeks
1325.03028 1.13626 (132*2π)/3633 weeks
1336.77493 -4.35718 (133*2π)/3633 weeks
13410.57038 -7.54409 (134*2π)/3633 weeks
13516.57948 -7.98077 (135*2π)/3633 weeks
13619.9233 -5.32623 (136*2π)/3633 weeks
13723.26761 -4.75177 (137*2π)/3633 weeks
13828.84985 1.73565 (138*2π)/3633 weeks
13924.33077 12.61208 (139*2π)/3633 weeks
14011.86776 10.02345 (140*2π)/3633 weeks
14113.40712 1.55618 (141*2π)/3633 weeks
14216.26607 -1.63326 (142*2π)/3633 weeks
14326.52519 -1.31099 (143*2π)/3633 weeks
14426.71922 10.38943 (144*2π)/3633 weeks
14519.41548 12.30458 (145*2π)/3633 weeks
14616.98676 9.71358 (146*2π)/3632 weeks
14718.10706 6.11937 (147*2π)/3632 weeks
14824.14128 10.04089 (148*2π)/3632 weeks
14920.82552 16.6739 (149*2π)/3632 weeks
15016.09609 18.45295 (150*2π)/3632 weeks
15112.75097 20.27579 (151*2π)/3632 weeks
1522.8105 19.59923 (152*2π)/3632 weeks
153-.48807 9.64629 (153*2π)/3632 weeks
1542.84373 4.68817 (154*2π)/3632 weeks
1555.49148 .66012 (155*2π)/3632 weeks
15612.713 .82698 (156*2π)/3632 weeks
15713.4033 6.38677 (157*2π)/3632 weeks
15811.35004 8.29918 (158*2π)/3632 weeks
1598.43963 11.13583 (159*2π)/3632 weeks
160.575 6.72634 (160*2π)/3632 weeks
1613.39715 -1.95189 (161*2π)/3632 weeks
16210.2627 -3.32649 (162*2π)/3632 weeks
16313.98614 .13427 (163*2π)/3632 weeks
16415.09218 4.73694 (164*2π)/3632 weeks
16510.41129 9.08103 (165*2π)/3632 weeks
1664.11982 7.24974 (166*2π)/3632 weeks
1672.31065 -.30853 (167*2π)/3632 weeks
1688.63489 -3.65824 (168*2π)/3632 weeks
16910.99632 2.9825 (169*2π)/3632 weeks
1702.25375 .54839 (170*2π)/3632 weeks
1715.23234 -6.52544 (171*2π)/3632 weeks
1729.25243 -10.43757 (172*2π)/3632 weeks
17318.09799 -9.9815 (173*2π)/3632 weeks
17422.28318 -1.22644 (174*2π)/3632 weeks
17516.96171 2.9935 (175*2π)/3632 weeks
17615.46306 3.75466 (176*2π)/3632 weeks
17712.18533 3.38687 (177*2π)/3632 weeks
17811.77769 .82369 (178*2π)/3632 weeks
17915.30137 1.53193 (179*2π)/3632 weeks
18012.55789 6.64305 (180*2π)/3632 weeks
1814.64323 5.09157 (181*2π)/3632 weeks
1824.64323 -5.09157 (182*2π)/3632 weeks
18312.55789 -6.64305 (183*2π)/3632 weeks
18415.30137 -1.53193 (184*2π)/3632 weeks
18511.77769 -.82369 (185*2π)/3632 weeks
18612.18533 -3.38687 (186*2π)/3632 weeks
18715.46306 -3.75466 (187*2π)/3632 weeks
18816.96171 -2.9935 (188*2π)/3632 weeks
18922.28318 1.22644 (189*2π)/3632 weeks
19018.09799 9.9815 (190*2π)/3632 weeks
1919.25243 10.43757 (191*2π)/3632 weeks
1925.23234 6.52544 (192*2π)/3632 weeks
1932.25375 -.54839 (193*2π)/3632 weeks
19410.99632 -2.9825 (194*2π)/3632 weeks
1958.63489 3.65824 (195*2π)/3632 weeks
1962.31065 .30853 (196*2π)/3632 weeks
1974.11982 -7.24974 (197*2π)/3632 weeks
19810.41129 -9.08103 (198*2π)/3632 weeks
19915.09218 -4.73694 (199*2π)/3632 weeks
20013.98614 -.13427 (200*2π)/3632 weeks
20110.2627 3.32649 (201*2π)/3632 weeks
2023.39715 1.95189 (202*2π)/3632 weeks
203.575 -6.72634 (203*2π)/3632 weeks
2048.43963 -11.13583 (204*2π)/3632 weeks
20511.35004 -8.29918 (205*2π)/3632 weeks
20613.4033 -6.38677 (206*2π)/3632 weeks
20712.713 -.82698 (207*2π)/3632 weeks
2085.49148 -.66012 (208*2π)/3632 weeks
2092.84373 -4.68817 (209*2π)/3632 weeks
210-.48807 -9.64629 (210*2π)/3632 weeks
2112.8105 -19.59923 (211*2π)/3632 weeks
21212.75097 -20.27579 (212*2π)/3632 weeks
21316.09609 -18.45295 (213*2π)/3632 weeks
21420.82552 -16.6739 (214*2π)/3632 weeks
21524.14128 -10.04089 (215*2π)/3632 weeks
21618.10706 -6.11937 (216*2π)/3632 weeks
21716.98676 -9.71358 (217*2π)/3632 weeks
21819.41548 -12.30458 (218*2π)/3632 weeks
21926.71922 -10.38943 (219*2π)/3632 weeks
22026.52519 1.31099 (220*2π)/3632 weeks
22116.26607 1.63326 (221*2π)/3632 weeks
22213.40712 -1.55618 (222*2π)/3632 weeks
22311.86776 -10.02345 (223*2π)/3632 weeks
22424.33077 -12.61208 (224*2π)/3632 weeks
22528.84985 -1.73565 (225*2π)/3632 weeks
22623.26761 4.75177 (226*2π)/3632 weeks
22719.9233 5.32623 (227*2π)/3632 weeks
22816.57948 7.98077 (228*2π)/3632 weeks
22910.57038 7.54409 (229*2π)/3632 weeks
2306.77493 4.35718 (230*2π)/3632 weeks
2315.03028 -1.13626 (231*2π)/3632 weeks
2326.48644 -5.06448 (232*2π)/3632 weeks
23310.49488 -9.38142 (233*2π)/3632 weeks
23418.55987 -7.77336 (234*2π)/3632 weeks
23521.57786 1.90744 (235*2π)/3632 weeks
23613.79185 8.83612 (236*2π)/3632 weeks
2375.70399 7.82354 (237*2π)/3632 weeks
238.34989 1.11498 (238*2π)/3632 weeks
2394.35376 -4.82588 (239*2π)/3632 weeks
2405.72048 -1.98666 (240*2π)/3632 weeks
2416.09175 -5.22071 (241*2π)/3632 weeks
2426.48418 .97539 (242*2π)/3632 weeks
243-1.53295 -2.93963 (243*2π)/3631 weeks
2441.55407 -10.34129 (244*2π)/3631 weeks
2457.43671 -7.92225 (245*2π)/3631 weeks
2467.79649 -4.22596 (246*2π)/3631 weeks
2472.21985 1.38418 (247*2π)/3631 weeks
248-4.88007 -2.11001 (248*2π)/3631 weeks
249-9.47755 -8.69115 (249*2π)/3631 weeks
250-5.98362 -13.83437 (250*2π)/3631 weeks
251-8.71612 -15.08041 (251*2π)/3631 weeks
252-11.34421 -23.58661 (252*2π)/3631 weeks
253-3.83857 -35.22393 (253*2π)/3631 weeks
25411.42464 -35.43621 (254*2π)/3631 weeks
25516.09148 -24.39178 (255*2π)/3631 weeks
25612.94401 -21.28009 (256*2π)/3631 weeks
25710.70856 -19.06497 (257*2π)/3631 weeks
2587.26714 -24.85365 (258*2π)/3631 weeks
25915.62473 -28.70483 (259*2π)/3631 weeks
26020.92725 -23.31441 (260*2π)/3631 weeks
26123.00777 -17.01521 (261*2π)/3631 weeks
26216.2809 -8.74574 (262*2π)/3631 weeks
2637.38651 -11.93549 (263*2π)/3631 weeks
2643.91999 -20.34229 (264*2π)/3631 weeks
2658.68524 -27.66103 (265*2π)/3631 weeks
26616.81943 -27.7258 (266*2π)/3631 weeks
26717.89098 -24.8654 (267*2π)/3631 weeks
26819.38663 -24.13741 (268*2π)/3631 weeks
26923.37934 -27.31195 (269*2π)/3631 weeks
27030.802 -21.22005 (270*2π)/3631 weeks
27134.00935 -11.22454 (271*2π)/3631 weeks
27223.74051 1.37436 (272*2π)/3631 weeks
2739.21491 -.70354 (273*2π)/3631 weeks
2742.57624 -15.35201 (274*2π)/3631 weeks
27511.85282 -23.35827 (275*2π)/3631 weeks
27621.96791 -19.23813 (276*2π)/3631 weeks
27716.72212 -10.95014 (277*2π)/3631 weeks
27813.66226 -14.64738 (278*2π)/3631 weeks
27912.6436 -16.22296 (279*2π)/3631 weeks
28016.34807 -21.45397 (280*2π)/3631 weeks
28123.89164 -15.86541 (281*2π)/3631 weeks
28219.7107 -6.74322 (282*2π)/3631 weeks
28312.54358 -8.3844 (283*2π)/3631 weeks
28410.4147 -9.76605 (284*2π)/3631 weeks
2858.95991 -15.63299 (285*2π)/3631 weeks
28615.22577 -12.84638 (286*2π)/3631 weeks
2879.85522 -9.77023 (287*2π)/3631 weeks
2887.43697 -11.35658 (288*2π)/3631 weeks
2896.69688 -13.80086 (289*2π)/3631 weeks
2908.64707 -13.89113 (290*2π)/3631 weeks
2915.18238 -8.46561 (291*2π)/3631 weeks
292-1.9355 -12.86225 (292*2π)/3631 weeks
293-1.16321 -16.01104 (293*2π)/3631 weeks
294-6.2291 -16.19424 (294*2π)/3631 weeks
295-9.24936 -25.8245 (295*2π)/3631 weeks
296-5.35236 -29.01064 (296*2π)/3631 weeks
297-4.09794 -35.58517 (297*2π)/3631 weeks
2981.45315 -35.11365 (298*2π)/3631 weeks
2991.62165 -36.68534 (299*2π)/3631 weeks
3007.49104 -41.6204 (300*2π)/3631 weeks
30113.9631 -29.63415 (301*2π)/3631 weeks
3023.48018 -26.1241 (302*2π)/3631 weeks
303-7.23069 -32.88382 (303*2π)/3631 weeks
304-1.96764 -46.51294 (304*2π)/3631 weeks
3055.78355 -49.56738 (305*2π)/3631 weeks
30615.42834 -44.05171 (306*2π)/3631 weeks
3078.87142 -34.44601 (307*2π)/3631 weeks
308-5.30432 -38.31777 (308*2π)/3631 weeks
309-12.77297 -60.51278 (309*2π)/3631 weeks
3109.04061 -83.28382 (310*2π)/3631 weeks
31136.5236 -75.84364 (311*2π)/3631 weeks
31243.3443 -61.30169 (312*2π)/3631 weeks
31349.16884 -54.59203 (313*2π)/3631 weeks
31452.55122 -40.55258 (314*2π)/3631 weeks
31551.28393 -30.94631 (315*2π)/3631 weeks
31645.55288 -18.28049 (316*2π)/3631 weeks
31733.30398 -9.81041 (317*2π)/3631 weeks
31819.81042 -9.03452 (318*2π)/3631 weeks
319.50408 -16.72408 (319*2π)/3631 weeks
3205.45839 -37.91508 (320*2π)/3631 weeks
32111.69042 -38.2692 (321*2π)/3631 weeks
32218.71666 -34.70337 (322*2π)/3631 weeks
3238.47016 -26.30692 (323*2π)/3631 weeks
324-6.50393 -32.45035 (324*2π)/3631 weeks
325-14.07445 -56.16025 (325*2π)/3631 weeks
3264.98509 -75.74449 (326*2π)/3631 weeks
32729.9757 -73.47409 (327*2π)/3631 weeks
32838.4444 -48.26773 (328*2π)/3631 weeks
32916.32269 -39.9395 (329*2π)/3631 weeks
3309.26486 -59.53646 (330*2π)/3631 weeks
33122.94273 -68.27963 (331*2π)/3631 weeks
33235.9332 -64.97617 (332*2π)/3631 weeks
33345.01097 -57.53251 (333*2π)/3631 weeks
33451.2406 -32.71544 (334*2π)/3631 weeks
33526.80276 -18.9216 (335*2π)/3631 weeks
33610.19697 -17.69265 (336*2π)/3631 weeks
337-10.36602 -26.32308 (337*2π)/3631 weeks
338-23.27258 -39.11008 (338*2π)/3631 weeks
339-33.62531 -57.75921 (339*2π)/3631 weeks
340-35.90316 -80.56826 (340*2π)/3631 weeks
341-30.76657 -102.1269 (341*2π)/3631 weeks
342-10.1209 -124.3657 (342*2π)/3631 weeks
3438.60265 -120.534 (343*2π)/3631 weeks
34421.86678 -124.002 (344*2π)/3631 weeks
34538.74502 -103.7007 (345*2π)/3631 weeks
34615.56329 -87.46332 (346*2π)/3631 weeks
347-11.82789 -98.71826 (347*2π)/3631 weeks
348-11.9106 -143.4723 (348*2π)/3631 weeks
34920.59288 -149.5758 (349*2π)/3631 weeks
35027.02629 -126.783 (350*2π)/3631 weeks
351-8.08676 -123.5073 (351*2π)/3631 weeks
352-29.22494 -143.9645 (352*2π)/3631 weeks
353-79.02086 -174.6611 (353*2π)/3631 weeks
354-107.1337 -278.9273 (354*2π)/3631 weeks
355-62.23975 -406.5309 (355*2π)/3631 weeks
35675.88201 -492.6507 (356*2π)/3631 weeks
357215.9709 -449.0201 (357*2π)/3631 weeks
358242.5552 -378.1014 (358*2π)/3631 weeks
359162.6307 -419.4403 (359*2π)/3631 weeks
360262.1388 -639.9756 (360*2π)/3631 weeks
361533.1628 -741.0331 (361*2π)/3631 weeks



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