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Fourier Analysis of LIME (Lime Energy Co.)


LIME (Lime Energy Co.) appears to have interesting cyclic behaviour every 89 weeks (149.0737*sine), 60 weeks (143.1492*sine), and 64 weeks (131.7544*sine).

LIME (Lime Energy Co.) has an average price of 552.19 (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 1/31/2000 to 3/13/2017 for LIME (Lime Energy Co.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0552.1865   0 
1586.1273 597.6003 (1*2π)/893893 weeks
2137.3048 366.9138 (2*2π)/893447 weeks
3240.3806 157.3484 (3*2π)/893298 weeks
4274.5573 287.7526 (4*2π)/893223 weeks
5115.3965 319.8046 (5*2π)/893179 weeks
636.57112 227.6045 (6*2π)/893149 weeks
720.5171 140.1951 (7*2π)/893128 weeks
882.51572 78.59246 (8*2π)/893112 weeks
9127.0788 139.28 (9*2π)/89399 weeks
1056.37616 149.0737 (10*2π)/89389 weeks
1158.39569 91.27032 (11*2π)/89381 weeks
1293.32476 95.34803 (12*2π)/89374 weeks
1391.09656 114.7243 (13*2π)/89369 weeks
1486.63661 131.7544 (14*2π)/89364 weeks
1547.58793 143.1492 (15*2π)/89360 weeks
1622.03707 113.8547 (16*2π)/89356 weeks
1727.3914 95.38274 (17*2π)/89353 weeks
1819.15812 87.8632 (18*2π)/89350 weeks
1914.9999 64.92838 (19*2π)/89347 weeks
2023.73357 48.23945 (20*2π)/89345 weeks
2138.4966 22.07614 (21*2π)/89343 weeks
2289.09853 21.78228 (22*2π)/89341 weeks
23105.4156 72.80602 (23*2π)/89339 weeks
2475.31493 91.43206 (24*2π)/89337 weeks
2570.29792 87.09771 (25*2π)/89336 weeks
2662.87251 94.70042 (26*2π)/89334 weeks
2763.27633 95.89684 (27*2π)/89333 weeks
2854.53581 120.9397 (28*2π)/89332 weeks
297.37131 124.4349 (29*2π)/89331 weeks
30-14.47534 79.08748 (30*2π)/89330 weeks
314.96898 53.43034 (31*2π)/89329 weeks
3218.44628 46.51426 (32*2π)/89328 weeks
3336.85674 43.08775 (33*2π)/89327 weeks
3448.83812 61.92182 (34*2π)/89326 weeks
3534.4595 70.5734 (35*2π)/89326 weeks
3635.30158 63.50205 (36*2π)/89325 weeks
3740.50986 70.43118 (37*2π)/89324 weeks
3833.52809 81.31471 (38*2π)/89324 weeks
3921.74575 84.35354 (39*2π)/89323 weeks
405.70304 78.81966 (40*2π)/89322 weeks
413.27715 60.78136 (41*2π)/89322 weeks
4214.09831 58.77949 (42*2π)/89321 weeks
439.3262 63.59019 (43*2π)/89321 weeks
442.17134 57.0163 (44*2π)/89320 weeks
452.55588 45.36609 (45*2π)/89320 weeks
4614.31419 38.72221 (46*2π)/89319 weeks
4721.70543 45.45536 (47*2π)/89319 weeks
4820.0868 49.56491 (48*2π)/89319 weeks
4919.91138 48.70125 (49*2π)/89318 weeks
5024.90321 52.47508 (50*2π)/89318 weeks
5120.65572 62.09886 (51*2π)/89318 weeks
5210.39695 61.51526 (52*2π)/89317 weeks
537.30059 58.95858 (53*2π)/89317 weeks
54.36175 56.81528 (54*2π)/89317 weeks
55-3.18248 46.18708 (55*2π)/89316 weeks
564.98206 39.33025 (56*2π)/89316 weeks
5710.74866 44.14642 (57*2π)/89316 weeks
587.41312 46.7337 (58*2π)/89315 weeks
598.44061 44.86542 (59*2π)/89315 weeks
608.27994 51.24403 (60*2π)/89315 weeks
61-1.78107 50.00167 (61*2π)/89315 weeks
62-.8844 42.2899 (62*2π)/89314 weeks
63.52585 45.12036 (63*2π)/89314 weeks
64-6.207 42.79641 (64*2π)/89314 weeks
65-3.75014 35.29145 (65*2π)/89314 weeks
66-1.12134 37.23802 (66*2π)/89314 weeks
67-3.28355 35.0928 (67*2π)/89313 weeks
68.96772 34.32742 (68*2π)/89313 weeks
69-1.82152 41.22619 (69*2π)/89313 weeks
70-11.28627 36.57214 (70*2π)/89313 weeks
71-10.26094 30.54713 (71*2π)/89313 weeks
72-13.83267 28.89643 (72*2π)/89312 weeks
73-15.52843 15.79422 (73*2π)/89312 weeks
74-2.75501 10.31364 (74*2π)/89312 weeks
75.4802 14.78509 (75*2π)/89312 weeks
762.0881 10.2463 (76*2π)/89312 weeks
7711.58335 10.85795 (77*2π)/89312 weeks
7814.57034 17.83219 (78*2π)/89311 weeks
7914.86362 20.4669 (79*2π)/89311 weeks
8015.44709 25.56752 (80*2π)/89311 weeks
8112.17376 28.55401 (81*2π)/89311 weeks
8210.23953 30.39293 (82*2π)/89311 weeks
834.22286 33.44495 (83*2π)/89311 weeks
84-2.12497 25.89651 (84*2π)/89311 weeks
853.70718 19.89312 (85*2π)/89311 weeks
867.42937 24.26838 (86*2π)/89310 weeks
875.18126 26.33132 (87*2π)/89310 weeks
882.0911 28.37127 (88*2π)/89310 weeks
89-5.85401 24.0643 (89*2π)/89310 weeks
90-1.31115 12.54268 (90*2π)/89310 weeks
9110.13816 15.85266 (91*2π)/89310 weeks
927.23425 25.42025 (92*2π)/89310 weeks
931.58718 23.11167 (93*2π)/89310 weeks
942.49264 22.3703 (94*2π)/89310 weeks
95-1.71129 23.76833 (95*2π)/8939 weeks
96-5.2752 18.03848 (96*2π)/8939 weeks
97-2.59159 14.36159 (97*2π)/8939 weeks
98-2.99052 12.73874 (98*2π)/8939 weeks
99-1.66202 8.297 (99*2π)/8939 weeks
1001.69267 5.56261 (100*2π)/8939 weeks
1015.88537 2.99179 (101*2π)/8939 weeks
10213.80996 2.98912 (102*2π)/8939 weeks
10319.07669 9.75191 (103*2π)/8939 weeks
10417.84323 16.24248 (104*2π)/8939 weeks
10516.3564 19.16699 (105*2π)/8939 weeks
10613.81089 23.19723 (106*2π)/8938 weeks
1078.53352 24.6896 (107*2π)/8938 weeks
1084.38355 22.61856 (108*2π)/8938 weeks
1093.26458 19.94007 (109*2π)/8938 weeks
1101.88654 19.00815 (110*2π)/8938 weeks
111.28154 16.95267 (111*2π)/8938 weeks
112-1.66684 13.36277 (112*2π)/8938 weeks
113-.72802 6.64819 (113*2π)/8938 weeks
1147.70433 2.01587 (114*2π)/8938 weeks
11515.95484 7.64008 (115*2π)/8938 weeks
11614.8729 15.54021 (116*2π)/8938 weeks
11710.65343 16.05918 (117*2π)/8938 weeks
11811.71717 15.97925 (118*2π)/8938 weeks
11910.82127 19.13194 (119*2π)/8938 weeks
1208.43021 20.61721 (120*2π)/8937 weeks
1214.36823 22.61852 (121*2π)/8937 weeks
122-2.05085 19.92601 (122*2π)/8937 weeks
123-3.94561 13.29964 (123*2π)/8937 weeks
124-2.15848 8.24184 (124*2π)/8937 weeks
1251.72893 5.20667 (125*2π)/8937 weeks
1264.93787 5.39929 (126*2π)/8937 weeks
1275.99266 5.52526 (127*2π)/8937 weeks
1287.95657 3.81772 (128*2π)/8937 weeks
12912.27273 4.83001 (129*2π)/8937 weeks
13014.58232 8.52654 (130*2π)/8937 weeks
13113.41834 12.55074 (131*2π)/8937 weeks
13210.29666 13.91493 (132*2π)/8937 weeks
1337.34718 12.53156 (133*2π)/8937 weeks
1348.5356 9.86566 (134*2π)/8937 weeks
1359.66407 10.64512 (135*2π)/8937 weeks
1369.49047 11.47608 (136*2π)/8937 weeks
1378.40789 11.82796 (137*2π)/8937 weeks
1387.2969 10.60036 (138*2π)/8936 weeks
1398.56789 9.3029 (139*2π)/8936 weeks
1408.42615 10.99584 (140*2π)/8936 weeks
1415.52221 9.37446 (141*2π)/8936 weeks
1426.85927 4.73921 (142*2π)/8936 weeks
14311.24239 3.65343 (143*2π)/8936 weeks
14415.45081 4.37056 (144*2π)/8936 weeks
14519.82835 9.70652 (145*2π)/8936 weeks
14616.7615 17.30293 (146*2π)/8936 weeks
1479.43633 17.79091 (147*2π)/8936 weeks
1486.89536 14.29348 (148*2π)/8936 weeks
1496.1256 11.95253 (149*2π)/8936 weeks
1507.00945 8.83634 (150*2π)/8936 weeks
1519.47678 9.30764 (151*2π)/8936 weeks
1527.60513 10.24325 (152*2π)/8936 weeks
1537.70761 5.1723 (153*2π)/8936 weeks
15414.02281 5.22294 (154*2π)/8936 weeks
15515.58668 10.1647 (155*2π)/8936 weeks
15613.39185 12.20173 (156*2π)/8936 weeks
15712.58656 12.31118 (157*2π)/8936 weeks
15812.21568 13.46201 (158*2π)/8936 weeks
15910.56805 14.36655 (159*2π)/8936 weeks
1607.90465 14.48868 (160*2π)/8936 weeks
1615.52651 10.7413 (161*2π)/8936 weeks
1629.29757 7.10069 (162*2π)/8936 weeks
16312.83057 10.8544 (163*2π)/8935 weeks
1649.1416 13.23142 (164*2π)/8935 weeks
1657.18939 9.68755 (165*2π)/8935 weeks
16610.49683 7.3035 (166*2π)/8935 weeks
16714.32863 10.05109 (167*2π)/8935 weeks
16812.45606 14.48409 (168*2π)/8935 weeks
1698.96099 14.14537 (169*2π)/8935 weeks
1708.77266 12.38036 (170*2π)/8935 weeks
1719.80343 13.19543 (171*2π)/8935 weeks
1727.60543 15.08405 (172*2π)/8935 weeks
1734.47476 13.68469 (173*2π)/8935 weeks
1743.57211 10.74859 (174*2π)/8935 weeks
1754.98757 9.18142 (175*2π)/8935 weeks
1764.01674 9.44137 (176*2π)/8935 weeks
1772.31461 5.41368 (177*2π)/8935 weeks
1787.17645 .55407 (178*2π)/8935 weeks
17913.09175 2.77548 (179*2π)/8935 weeks
18014.78426 6.58299 (180*2π)/8935 weeks
18114.83105 10.10633 (181*2π)/8935 weeks
18212.5958 12.939 (182*2π)/8935 weeks
1839.30627 12.63393 (183*2π)/8935 weeks
1849.08348 10.76978 (184*2π)/8935 weeks
18510.31034 11.6783 (185*2π)/8935 weeks
1868.66087 13.36541 (186*2π)/8935 weeks
1876.05361 13.07325 (187*2π)/8935 weeks
1884.81055 11.21068 (188*2π)/8935 weeks
1894.4568 9.67604 (189*2π)/8935 weeks
1904.57529 8.10306 (190*2π)/8935 weeks
1915.81246 7.23502 (191*2π)/8935 weeks
1925.81344 8.03799 (192*2π)/8935 weeks
1933.79083 6.3389 (193*2π)/8935 weeks
1945.89488 2.60342 (194*2π)/8935 weeks
1959.98166 3.22031 (195*2π)/8935 weeks
19611.18623 6.03221 (196*2π)/8935 weeks
1979.88835 7.87135 (197*2π)/8935 weeks
1988.47007 7.51581 (198*2π)/8935 weeks
1998.55843 6.85408 (199*2π)/8934 weeks
2008.22368 7.61227 (200*2π)/8934 weeks
2015.89733 5.60785 (201*2π)/8934 weeks
2028.86812 1.8832 (202*2π)/8934 weeks
20313.04053 4.27053 (203*2π)/8934 weeks
20411.52346 7.25397 (204*2π)/8934 weeks
20511.17631 5.49115 (205*2π)/8934 weeks
20613.93205 7.25158 (206*2π)/8934 weeks
20712.14742 10.9898 (207*2π)/8934 weeks
2089.36172 10.50416 (208*2π)/8934 weeks
2097.93933 10.45265 (209*2π)/8934 weeks
2105.6042 8.70561 (210*2π)/8934 weeks
2116.0151 5.39382 (211*2π)/8934 weeks
2128.40487 4.90261 (212*2π)/8934 weeks
2137.98898 5.46462 (213*2π)/8934 weeks
2148.39584 3.35558 (214*2π)/8934 weeks
21511.67927 3.00881 (215*2π)/8934 weeks
21612.84436 6.06096 (216*2π)/8934 weeks
21710.56554 7.29638 (217*2π)/8934 weeks
2189.89615 5.37561 (218*2π)/8934 weeks
21911.87275 4.48987 (219*2π)/8934 weeks
22013.3869 6.21057 (220*2π)/8934 weeks
22113.29401 8.50172 (221*2π)/8934 weeks
22210.38968 9.39124 (222*2π)/8934 weeks
2239.64208 7.26136 (223*2π)/8934 weeks
22410.32269 7.14135 (224*2π)/8934 weeks
2259.72221 6.26936 (225*2π)/8934 weeks
22611.46361 5.03128 (226*2π)/8934 weeks
22713.55342 7.29377 (227*2π)/8934 weeks
22810.49453 9.23852 (228*2π)/8934 weeks
2299.40303 5.69399 (229*2π)/8934 weeks
23012.87536 5.00714 (230*2π)/8934 weeks
23113.76857 6.90869 (231*2π)/8934 weeks
23214.19462 8.23472 (232*2π)/8934 weeks
23313.74902 10.04047 (233*2π)/8934 weeks
23411.99262 11.02865 (234*2π)/8934 weeks
23510.76749 10.47157 (235*2π)/8934 weeks
2369.70296 10.43973 (236*2π)/8934 weeks
2378.86109 7.98051 (237*2π)/8934 weeks
23811.22793 7.32127 (238*2π)/8934 weeks
23911.91633 8.20403 (239*2π)/8934 weeks
24012.80207 8.75817 (240*2π)/8934 weeks
24113.11723 11.08446 (241*2π)/8934 weeks
24210.56091 11.92067 (242*2π)/8934 weeks
2439.93957 10.56562 (243*2π)/8934 weeks
24410.81824 10.29699 (244*2π)/8934 weeks
24510.74717 11.53992 (245*2π)/8934 weeks
2469.8759 12.11594 (246*2π)/8934 weeks
2478.38987 11.83219 (247*2π)/8934 weeks
2489.0392 9.79601 (248*2π)/8934 weeks
24912.25174 11.77773 (249*2π)/8934 weeks
2509.31964 16.71421 (250*2π)/8934 weeks
2514.1967 15.10798 (251*2π)/8934 weeks
2523.57043 11.94342 (252*2π)/8934 weeks
2534.47345 10.68234 (253*2π)/8934 weeks
2544.71002 10.95309 (254*2π)/8934 weeks
2554.45615 11.70495 (255*2π)/8934 weeks
2561.26641 11.56796 (256*2π)/8933 weeks
257.25438 7.92422 (257*2π)/8933 weeks
2582.00794 6.48054 (258*2π)/8933 weeks
2591.50703 5.93252 (259*2π)/8933 weeks
2602.18757 3.8821 (260*2π)/8933 weeks
2613.06427 2.83878 (261*2π)/8933 weeks
2624.56557 .7476 (262*2π)/8933 weeks
2638.50657 .53481 (263*2π)/8933 weeks
2649.94546 3.6543 (264*2π)/8933 weeks
2658.83028 3.74933 (265*2π)/8933 weeks
26611.65211 3.4491 (266*2π)/8933 weeks
26713.03332 7.57097 (267*2π)/8933 weeks
2689.81932 10.41078 (268*2π)/8933 weeks
2697.3793 8.78863 (269*2π)/8933 weeks
2708.51258 7.97883 (270*2π)/8933 weeks
2717.98655 9.81404 (271*2π)/8933 weeks
2726.57022 9.4113 (272*2π)/8933 weeks
2736.05174 9.89732 (273*2π)/8933 weeks
2744.20734 9.50105 (274*2π)/8933 weeks
2752.81264 7.99433 (275*2π)/8933 weeks
2763.24526 5.77668 (276*2π)/8933 weeks
2774.60679 5.10512 (277*2π)/8933 weeks
2785.4222 5.79487 (278*2π)/8933 weeks
2794.17174 6.67112 (279*2π)/8933 weeks
2802.66417 4.53672 (280*2π)/8933 weeks
2814.54039 2.20468 (281*2π)/8933 weeks
2826.49342 2.62113 (282*2π)/8933 weeks
2837.37025 3.1906 (283*2π)/8933 weeks
2848.06277 3.93894 (284*2π)/8933 weeks
2858.48296 4.99062 (285*2π)/8933 weeks
2868.29995 5.93579 (286*2π)/8933 weeks
2877.56738 7.5259 (287*2π)/8933 weeks
2885.2512 7.39405 (288*2π)/8933 weeks
2894.5131 5.44719 (289*2π)/8933 weeks
2905.9719 4.84298 (290*2π)/8933 weeks
2916.08193 6.10877 (291*2π)/8933 weeks
2924.54425 7.00084 (292*2π)/8933 weeks
2931.80199 5.61829 (293*2π)/8933 weeks
2941.79781 1.85987 (294*2π)/8933 weeks
2954.55267 .45629 (295*2π)/8933 weeks
2964.99 .85044 (296*2π)/8933 weeks
2976.31688 -1.44253 (297*2π)/8933 weeks
29810.315 -.45197 (298*2π)/8933 weeks
29910.55847 2.59971 (299*2π)/8933 weeks
3009.8468 2.19566 (300*2π)/8933 weeks
30112.82945 2.96055 (301*2π)/8933 weeks
30212.90127 7.68078 (302*2π)/8933 weeks
3039.57396 9.92194 (303*2π)/8933 weeks
3045.82794 10.31092 (304*2π)/8933 weeks
3052.69368 6.84371 (305*2π)/8933 weeks
3064.62465 3.63543 (306*2π)/8933 weeks
3076.09107 4.53559 (307*2π)/8933 weeks
3084.57415 4.11986 (308*2π)/8933 weeks
3096.23449 1.3064 (309*2π)/8933 weeks
3109.54472 2.92448 (310*2π)/8933 weeks
3119.00659 5.28713 (311*2π)/8933 weeks
3128.47529 6.41508 (312*2π)/8933 weeks
3136.7018 7.22029 (313*2π)/8933 weeks
3145.64884 5.74771 (314*2π)/8933 weeks
3156.78459 5.53973 (315*2π)/8933 weeks
3166.28509 6.97611 (316*2π)/8933 weeks
3175.00422 6.58607 (317*2π)/8933 weeks
3184.85079 6.42719 (318*2π)/8933 weeks
3194.0946 6.59094 (319*2π)/8933 weeks
3203.2526 6.42039 (320*2π)/8933 weeks
3211.84411 6.52946 (321*2π)/8933 weeks
322-.84678 4.28581 (322*2π)/8933 weeks
323.14083 .39589 (323*2π)/8933 weeks
3242.6914 -.96992 (324*2π)/8933 weeks
3254.45263 -.90181 (325*2π)/8933 weeks
3266.08464 -.83148 (326*2π)/8933 weeks
3277.67911 .60129 (327*2π)/8933 weeks
3287.08476 2.49248 (328*2π)/8933 weeks
3295.97615 2.27378 (329*2π)/8933 weeks
3306.51731 1.50178 (330*2π)/8933 weeks
3317.71974 2.73513 (331*2π)/8933 weeks
3326.29255 4.67916 (332*2π)/8933 weeks
3333.88767 3.30002 (333*2π)/8933 weeks
3344.73162 1.44905 (334*2π)/8933 weeks
3355.99132 1.83192 (335*2π)/8933 weeks
3365.25447 2.24559 (336*2π)/8933 weeks
3375.65394 1.198 (337*2π)/8933 weeks
3386.86052 2.07404 (338*2π)/8933 weeks
3395.73626 2.95881 (339*2π)/8933 weeks
3405.30417 1.90277 (340*2π)/8933 weeks
3416.23552 1.39565 (341*2π)/8933 weeks
3427.72201 2.17318 (342*2π)/8933 weeks
3437.72752 4.66573 (343*2π)/8933 weeks
3445.61182 6.52671 (344*2π)/8933 weeks
3452.40112 6.41195 (345*2π)/8933 weeks
346.34299 4.34646 (346*2π)/8933 weeks
347-.70514 1.78591 (347*2π)/8933 weeks
348.24222 -1.27914 (348*2π)/8933 weeks
3492.732 -1.92694 (349*2π)/8933 weeks
3503.38108 -1.24794 (350*2π)/8933 weeks
3513.39902 -2.02848 (351*2π)/8933 weeks
3525.28088 -2.48983 (352*2π)/8933 weeks
3536.36248 -.38952 (353*2π)/8933 weeks
3544.92334 .95417 (354*2π)/8933 weeks
3553.30455 .65998 (355*2π)/8933 weeks
3562.07072 -.10453 (356*2π)/8933 weeks
357.64405 -2.32599 (357*2π)/8933 weeks
3582.14251 -6.02877 (358*2π)/8932 weeks
3595.95698 -6.20913 (359*2π)/8932 weeks
3607.2727 -4.29529 (360*2π)/8932 weeks
3616.64048 -3.11186 (361*2π)/8932 weeks
3625.54045 -3.90013 (362*2π)/8932 weeks
3636.68511 -6.00347 (363*2π)/8932 weeks
3649.45832 -5.66725 (364*2π)/8932 weeks
36510.5937 -3.86084 (365*2π)/8932 weeks
36610.35846 -2.96122 (366*2π)/8932 weeks
36711.341 -2.43863 (367*2π)/8932 weeks
36811.80297 -.40465 (368*2π)/8932 weeks
36910.86454 1.39992 (369*2π)/8932 weeks
3709.10547 2.53801 (370*2π)/8932 weeks
3717.36582 2.56003 (371*2π)/8932 weeks
3725.63369 2.19939 (372*2π)/8932 weeks
3733.8355 .84058 (373*2π)/8932 weeks
3742.95196 -1.81688 (374*2π)/8932 weeks
3754.52459 -4.62478 (375*2π)/8932 weeks
3766.83177 -5.03909 (376*2π)/8932 weeks
3778.64883 -5.18319 (377*2π)/8932 weeks
37810.87587 -3.44036 (378*2π)/8932 weeks
37910.52203 -.60154 (379*2π)/8932 weeks
3807.78785 .1302 (380*2π)/8932 weeks
3817.17272 -2.03371 (381*2π)/8932 weeks
3828.76267 -1.82155 (382*2π)/8932 weeks
3838.0348 -.42329 (383*2π)/8932 weeks
3846.08513 -.95224 (384*2π)/8932 weeks
3855.74894 -3.15258 (385*2π)/8932 weeks
3867.54435 -4.55768 (386*2π)/8932 weeks
3879.35939 -3.26139 (387*2π)/8932 weeks
3888.01055 -1.58179 (388*2π)/8932 weeks
3895.80421 -2.89306 (389*2π)/8932 weeks
3906.44266 -6.07758 (390*2π)/8932 weeks
3919.3884 -7.06125 (391*2π)/8932 weeks
39211.36444 -5.75671 (392*2π)/8932 weeks
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780-.72802 -6.64819