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Fourier Analysis of CLP (Colonial Properties Trust Commo)


CLP (Colonial Properties Trust Commo) appears to have interesting cyclic behaviour every 122 weeks (424.3112*cosine), 101 weeks (265.6861*sine), and 111 weeks (264.7692*sine).

CLP (Colonial Properties Trust Commo) has an average price of 463.28 (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 9/23/1993 to 1/9/2017 for CLP (Colonial Properties Trust Commo), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0463.2836   0 
1525.386 -727.4965 (1*2π)/12161,216 weeks
2-265.1361 -840.844 (2*2π)/1216608 weeks
3-811.3167 -272.2026 (3*2π)/1216405 weeks
4-663.9861 471.0984 (4*2π)/1216304 weeks
5-12.51563 763.2715 (5*2π)/1216243 weeks
6562.5023 429.5472 (6*2π)/1216203 weeks
7618.951 -181.2457 (7*2π)/1216174 weeks
8197.2312 -540.446 (8*2π)/1216152 weeks
9-275.715 -418.4696 (9*2π)/1216135 weeks
10-424.3112 -25.07124 (10*2π)/1216122 weeks
11-225.2743 264.7692 (11*2π)/1216111 weeks
1256.16504 265.6861 (12*2π)/1216101 weeks
13176.7728 89.54033 (13*2π)/121694 weeks
14120.5152 -47.0464 (14*2π)/121687 weeks
1534.86574 -59.24943 (15*2π)/121681 weeks
1623.09145 -29.88116 (16*2π)/121676 weeks
1738.63673 -55.63963 (17*2π)/121672 weeks
18-11.39985 -107.8756 (18*2π)/121668 weeks
19-118.3213 -82.52363 (19*2π)/121664 weeks
20-165.4215 50.9486 (20*2π)/121661 weeks
21-64.38368 183.012 (21*2π)/121658 weeks
22118.1006 170.0032 (22*2π)/121655 weeks
23212.5359 1.60696 (23*2π)/121653 weeks
24122.1193 -173.0335 (24*2π)/121651 weeks
25-72.44831 -191.8074 (25*2π)/121649 weeks
26-188.4348 -42.58728 (26*2π)/121647 weeks
27-126.1542 124.4267 (27*2π)/121645 weeks
2835.87034 154.9197 (28*2π)/121643 weeks
29133.19 40.93777 (29*2π)/121642 weeks
3085.55358 -84.30965 (30*2π)/121641 weeks
31-33.09323 -97.21923 (31*2π)/121639 weeks
32-88.28725 -6.32177 (32*2π)/121638 weeks
33-33.09864 72.148 (33*2π)/121637 weeks
3454.31271 52.66553 (34*2π)/121636 weeks
3568.6558 -32.2682 (35*2π)/121635 weeks
36-2.57055 -78.18614 (36*2π)/121634 weeks
37-74.16351 -32.3091 (37*2π)/121633 weeks
38-63.58744 52.0519 (38*2π)/121632 weeks
3915.51861 80.12425 (39*2π)/121631 weeks
4075.29844 24.16137 (40*2π)/121630 weeks
4154.06738 -51.4223 (41*2π)/121630 weeks
42-18.37535 -65.80648 (42*2π)/121629 weeks
43-60.03384 -11.88294 (43*2π)/121628 weeks
44-31.58544 43.88049 (44*2π)/121628 weeks
4525.69983 40.32384 (45*2π)/121627 weeks
4642.4077 -9.93118 (46*2π)/121626 weeks
473.77493 -41.95273 (47*2π)/121626 weeks
48-39.12997 -17.99726 (48*2π)/121625 weeks
49-32.93704 31.20828 (49*2π)/121625 weeks
5015.52306 45.06924 (50*2π)/121624 weeks
5148.57257 6.39055 (51*2π)/121624 weeks
5228.10493 -39.80901 (52*2π)/121623 weeks
53-21.07314 -41.77863 (53*2π)/121623 weeks
54-42.82137 -.22353 (54*2π)/121623 weeks
55-15.77814 33.76862 (55*2π)/121622 weeks
5621.8909 22.05568 (56*2π)/121622 weeks
5722.35979 -14.31579 (57*2π)/121621 weeks
58-12.17443 -24.07048 (58*2π)/121621 weeks
59-32.29376 9.82408 (59*2π)/121621 weeks
60-1.61968 44.50558 (60*2π)/121620 weeks
6150.6127 26.44302 (61*2π)/121620 weeks
6258.64368 -38.5546 (62*2π)/121620 weeks
63-3.29908 -82.71957 (63*2π)/121619 weeks
64-81.56856 -46.92275 (64*2π)/121619 weeks
65-92.28542 47.13484 (65*2π)/121619 weeks
66-12.54274 110.4687 (66*2π)/121618 weeks
6788.71124 75.0709 (67*2π)/121618 weeks
68114.0653 -32.09227 (68*2π)/121618 weeks
6937.45499 -111.9928 (69*2π)/121618 weeks
70-69.49843 -91.47354 (70*2π)/121617 weeks
71-109.0771 5.74362 (71*2π)/121617 weeks
72-51.94688 86.61309 (72*2π)/121617 weeks
7338.68538 81.74464 (73*2π)/121617 weeks
7477.46847 10.99521 (74*2π)/121616 weeks
7542.23541 -49.4023 (75*2π)/121616 weeks
76-16.42204 -48.2611 (76*2π)/121616 weeks
77-36.56451 -5.35817 (77*2π)/121616 weeks
78-11.03957 21.81676 (78*2π)/121616 weeks
7915.57713 7.5699 (79*2π)/121615 weeks
806.59162 -19.13815 (80*2π)/121615 weeks
81-24.10134 -15.57734 (81*2π)/121615 weeks
82-32.12081 19.69155 (82*2π)/121615 weeks
831.14728 45.48347 (83*2π)/121615 weeks
8444.17346 26.28625 (84*2π)/121614 weeks
8549.54589 -24.12763 (85*2π)/121614 weeks
867.9793 -55.92642 (86*2π)/121614 weeks
87-40.95155 -37.74784 (87*2π)/121614 weeks
88-51.42059 11.4869 (88*2π)/121614 weeks
89-18.22985 44.03783 (89*2π)/121614 weeks
9021.66715 34.65262 (90*2π)/121614 weeks
9132.74586 2.21678 (91*2π)/121613 weeks
9215.49325 -17.77596 (92*2π)/121613 weeks
93-1.95871 -13.73879 (93*2π)/121613 weeks
94-2.39341 -4.00931 (94*2π)/121613 weeks
952.74798 -7.28456 (95*2π)/121613 weeks
96-5.81115 -16.05341 (96*2π)/121613 weeks
97-24.69387 -8.19996 (97*2π)/121613 weeks
98-27.47775 19.79537 (98*2π)/121612 weeks
99.5399 40.54613 (99*2π)/121612 weeks
10038.22015 25.32959 (100*2π)/121612 weeks
10145.79504 -19.18599 (101*2π)/121612 weeks
1029.47011 -51.05886 (102*2π)/121612 weeks
103-38.48059 -36.05914 (103*2π)/121612 weeks
104-50.42596 13.43802 (104*2π)/121612 weeks
105-14.01467 48.55407 (105*2π)/121612 weeks
10633.20267 34.56512 (106*2π)/121611 weeks
10743.38553 -11.59999 (107*2π)/121611 weeks
1088.92869 -40.71407 (108*2π)/121611 weeks
109-30.35192 -23.9961 (109*2π)/121611 weeks
110-32.26257 16.62252 (110*2π)/121611 weeks
1112.2616 34.58689 (111*2π)/121611 weeks
11231.97893 11.33764 (112*2π)/121611 weeks
11323.1814 -24.74119 (113*2π)/121611 weeks
114-13.02004 -31.56246 (114*2π)/121611 weeks
115-34.30259 -1.75651 (115*2π)/121611 weeks
116-16.63278 30.04477 (116*2π)/121610 weeks
11719.37024 27.80643 (117*2π)/121610 weeks
11832.5594 -5.04252 (118*2π)/121610 weeks
1199.03489 -30.29051 (119*2π)/121610 weeks
120-22.73463 -19.7269 (120*2π)/121610 weeks
121-25.70842 12.6452 (121*2π)/121610 weeks
1222.2728 27.66054 (122*2π)/121610 weeks
12326.70526 7.61677 (123*2π)/121610 weeks
12417.21478 -23.117 (124*2π)/121610 weeks
125-15.93225 -26.28242 (125*2π)/121610 weeks
126-32.94384 4.28335 (126*2π)/121610 weeks
127-11.16462 34.16012 (127*2π)/121610 weeks
12827.23175 27.16168 (128*2π)/121610 weeks
12938.6925 -11.98543 (129*2π)/12169 weeks
1308.1401 -41.07478 (130*2π)/12169 weeks
131-32.5074 -27.20626 (131*2π)/12169 weeks
132-39.17696 15.39757 (132*2π)/12169 weeks
133-4.67574 40.67455 (133*2π)/12169 weeks
13432.52833 21.83231 (134*2π)/12169 weeks
13532.07306 -18.65657 (135*2π)/12169 weeks
136-3.62599 -34.82545 (136*2π)/12169 weeks
137-32.04646 -9.46681 (137*2π)/12169 weeks
138-19.98869 26.01072 (138*2π)/12169 weeks
13917.67502 28.5986 (139*2π)/12169 weeks
14035.3143 -6.24793 (140*2π)/12169 weeks
1419.05004 -38.08949 (141*2π)/12169 weeks
142-33.51932 -26.86505 (142*2π)/12169 weeks
143-42.73863 19.20049 (143*2π)/12169 weeks
144-3.66641 50.28724 (144*2π)/12168 weeks
14544.59639 29.54046 (145*2π)/12168 weeks
14649.77738 -24.95182 (146*2π)/12168 weeks
1473.60951 -56.71709 (147*2π)/12168 weeks
148-47.13354 -31.89346 (148*2π)/12168 weeks
149-50.48821 24.162 (149*2π)/12168 weeks
150-4.10785 53.84535 (150*2π)/12168 weeks
15142.47173 28.42699 (151*2π)/12168 weeks
15242.19841 -22.06709 (152*2π)/12168 weeks
153-.23716 -43.74854 (153*2π)/12168 weeks
154-35.96185 -17.07821 (154*2π)/12168 weeks
155-27.56664 23.77607 (155*2π)/12168 weeks
15611.06625 32.09869 (156*2π)/12168 weeks
15732.80996 .82307 (157*2π)/12168 weeks
15812.42049 -30.75123 (158*2π)/12168 weeks
159-25.13079 -24.08135 (159*2π)/12168 weeks
160-34.30863 14.35955 (160*2π)/12168 weeks
161-1.85197 39.85519 (161*2π)/12168 weeks
16237.01426 20.83442 (162*2π)/12168 weeks
16337.53833 -24.15024 (163*2π)/12167 weeks
164-3.38845 -46.12582 (164*2π)/12167 weeks
165-42.85186 -19.70226 (165*2π)/12167 weeks
166-38.16082 28.00769 (166*2π)/12167 weeks
1675.94708 46.52773 (167*2π)/12167 weeks
16842.76798 16.74329 (168*2π)/12167 weeks
16933.92657 -28.83537 (169*2π)/12167 weeks
170-9.35557 -41.82247 (170*2π)/12167 weeks
171-39.76367 -10.35145 (171*2π)/12167 weeks
172-25.96867 29.66499 (172*2π)/12167 weeks
17314.59872 34.98714 (173*2π)/12167 weeks
17436.66475 2.029 (174*2π)/12167 weeks
17517.30108 -31.30621 (175*2π)/12167 weeks
176-20.14139 -28.67601 (176*2π)/12167 weeks
177-34.04969 5.30577 (177*2π)/12167 weeks
178-10.29993 32.30003 (178*2π)/12167 weeks
17923.7052 23.22937 (179*2π)/12167 weeks
18030.6002 -10.24753 (180*2π)/12167 weeks
1814.67525 -30.81477 (181*2π)/12167 weeks
182-24.29484 -17.40229 (182*2π)/12167 weeks
183-25.15888 13.24096 (183*2π)/12167 weeks
184.78623 26.86576 (184*2π)/12167 weeks
18523.18542 10.2935 (185*2π)/12167 weeks
18618.23981 -15.79215 (186*2π)/12167 weeks
187-6.5065 -22.20018 (187*2π)/12167 weeks
188-22.13912 -3.15795 (188*2π)/12166 weeks
189-11.89591 18.28878 (189*2π)/12166 weeks
19011.21056 18.34335 (190*2π)/12166 weeks
19121.06793 -1.88935 (191*2π)/12166 weeks
1927.76626 -19.09384 (192*2π)/12166 weeks
193-12.63687 -15.23598 (193*2π)/12166 weeks
194-18.27812 3.45994 (194*2π)/12166 weeks
195-5.34206 16.08747 (195*2π)/12166 weeks
1969.95652 10.92684 (196*2π)/12166 weeks
19711.87824 -2.81736 (197*2π)/12166 weeks
1982.26769 -8.98487 (198*2π)/12166 weeks
199-4.9346 -3.69026 (199*2π)/12166 weeks
200-2.13761 2.55618 (200*2π)/12166 weeks
2013.34643 .24574 (201*2π)/12166 weeks
202.72567 -6.19528 (202*2π)/12166 weeks
203-8.23969 -4.72474 (203*2π)/12166 weeks
204-10.73269 6.68195 (204*2π)/12166 weeks
205.50744 15.38444 (205*2π)/12166 weeks
20615.48525 8.5463 (206*2π)/12166 weeks
20716.73663 -9.73523 (207*2π)/12166 weeks
208.28523 -20.41061 (208*2π)/12166 weeks
209-17.77893 -10.85841 (209*2π)/12166 weeks
210-18.03488 9.97509 (210*2π)/12166 weeks
211.0977 19.78432 (211*2π)/12166 weeks
21216.57262 8.41486 (212*2π)/12166 weeks
21313.57399 -10.69108 (213*2π)/12166 weeks
214-4.48352 -15.44917 (214*2π)/12166 weeks
215-15.39546 -.87582 (215*2π)/12166 weeks
216-5.74039 14.58652 (216*2π)/12166 weeks
21712.86937 11.06294 (217*2π)/12166 weeks
21816.85567 -8.91682 (218*2π)/12166 weeks
219-1.38963 -21.52173 (219*2π)/12166 weeks
220-22.32402 -9.3267 (220*2π)/12166 weeks
221-20.56217 16.91798 (221*2π)/12166 weeks
2225.30217 28.27656 (222*2π)/12165 weeks
22328.81208 9.72191 (223*2π)/12165 weeks
22423.47814 -20.95181 (224*2π)/12165 weeks
225-6.7341 -31.2007 (225*2π)/12165 weeks
226-30.44032 -9.36523 (226*2π)/12165 weeks
227-22.37825 21.83831 (227*2π)/12165 weeks
2288.58379 28.99854 (228*2π)/12165 weeks
22928.57921 5.24418 (229*2π)/12165 weeks
23016.46434 -22.58371 (230*2π)/12165 weeks
231-13.31283 -23.5506 (231*2π)/12165 weeks
232-26.44016 2.72058 (232*2π)/12165 weeks
233-8.00284 25.4921 (233*2π)/12165 weeks
23420.73995 18.05261 (234*2π)/12165 weeks
23526.14649 -11.97187 (235*2π)/12165 weeks
236.41731 -30.25006 (236*2π)/12165 weeks
237-28.23057 -14.60617 (237*2π)/12165 weeks
238-27.08536 19.19516 (238*2π)/12165 weeks
2394.39903 34.01704 (239*2π)/12165 weeks
24032.65726 12.51048 (240*2π)/12165 weeks
24126.74196 -22.93143 (241*2π)/12165 weeks
242-7.45035 -34.18662 (242*2π)/12165 weeks
243-33.04717 -9.31148 (243*2π)/12165 weeks
244-22.84848 24.35311 (244*2π)/12165 weeks
24511.08244 30.31074 (245*2π)/12165 weeks
24630.9974 3.15991 (246*2π)/12165 weeks
24715.6208 -25.94803 (247*2π)/12165 weeks
248-16.85292 -24.558 (248*2π)/12165 weeks
249-29.20328 5.28702 (249*2π)/12165 weeks
250-7.36325 29.06072 (250*2π)/12165 weeks
25123.81375 19.41988 (251*2π)/12165 weeks
25228.68985 -13.47108 (252*2π)/12165 weeks
253.72368 -32.66365 (253*2π)/12165 weeks
254-29.47518 -15.9287 (254*2π)/12165 weeks
255-28.3089 19.02418 (255*2π)/12165 weeks
2563.60508 34.19994 (256*2π)/12165 weeks
25731.77509 12.8287 (257*2π)/12165 weeks
25825.86046 -21.78125 (258*2π)/12165 weeks
259-7.17901 -32.29596 (259*2π)/12165 weeks
260-31.1259 -8.06068 (260*2π)/12165 weeks
261-20.42079 23.5713 (261*2π)/12165 weeks
26212.01909 27.84524 (262*2π)/12165 weeks
26329.72461 1.00324 (263*2π)/12165 weeks
26413.41175 -26.36452 (264*2π)/12165 weeks
265-18.29049 -23.52896 (265*2π)/12165 weeks
266-29.67068 6.38375 (266*2π)/12165 weeks
267-7.71983 30.15632 (267*2π)/12165 weeks
26823.83383 21.29643 (268*2π)/12165 weeks
26930.74641 -11.15045 (269*2π)/12165 weeks
2705.24506 -32.74369 (270*2π)/12165 weeks
271-25.86572 -20.79013 (271*2π)/12164 weeks
272-30.55382 11.74638 (272*2π)/12164 weeks
273-5.19072 31.30161 (273*2π)/12164 weeks
27423.13562 19.38759 (274*2π)/12164 weeks
27526.5233 -9.39807 (275*2π)/12164 weeks
2764.75638 -25.22548 (276*2π)/12164 weeks
277-17.49207 -14.76367 (277*2π)/12164 weeks
278-18.48174 7.27365 (278*2π)/12164 weeks
279-1.53284 16.76229 (279*2π)/12164 weeks
28012.28749 6.86966 (280*2π)/12164 weeks
2819.03405 -7.70063 (281*2π)/12164 weeks
282-4.17777 -9.62834 (282*2π)/12164 weeks
283-10.03589 1.34164 (283*2π)/12164 weeks
284-1.93252 10.30559 (284*2π)/12164 weeks
2859.42167 6.04584 (285*2π)/12164 weeks
28610.06714 -6.2209 (286*2π)/12164 weeks
287-.78203 -12.12506 (287*2π)/12164 weeks
288-10.73714 -5.23331 (288*2π)/12164 weeks
289-9.39075 6.10976 (289*2π)/12164 weeks
290.2442 9.91292 (290*2π)/12164 weeks
2916.98574 4.10982 (291*2π)/12164 weeks
2925.12491 -2.68816 (292*2π)/12164 weeks
293.19282 -3.10864 (293*2π)/12164 weeks
294-.2867 .07433 (294*2π)/12164 weeks
2952.94377 -.56481 (295*2π)/12164 weeks
2962.12088 -5.81507 (296*2π)/12164 weeks
297-5.7171 -7.36323 (297*2π)/12164 weeks
298-12.1197 1.08856 (298*2π)/12164 weeks
299-6.87474 13.0579 (299*2π)/12164 weeks
3008.42554 14.74668 (300*2π)/12164 weeks
30118.69199 .79921 (301*2π)/12164 weeks
30211.22389 -16.4468 (302*2π)/12164 weeks
303-8.47834 -18.78779 (303*2π)/12164 weeks
304-20.68969 -2.32563 (304*2π)/12164 weeks
305-12.16463 16.65108 (305*2π)/12164 weeks
3068.56526 18.14471 (306*2π)/12164 weeks
30719.34547 .69055 (307*2π)/12164 weeks
3088.72033 -16.51399 (308*2π)/12164 weeks
309-11.10881 -14.38542 (309*2π)/12164 weeks
310-17.51683 4.41904 (310*2π)/12164 weeks
311-2.931 18.15358 (311*2π)/12164 weeks
31216.06902 10.4201 (312*2π)/12164 weeks
31317.10581 -10.76136 (313*2π)/12164 weeks
314-2.28649 -21.26046 (314*2π)/12164 weeks
315-20.98872 -8.03639 (315*2π)/12164 weeks
316-17.59278 15.39804 (316*2π)/12164 weeks
3175.40203 23.35329 (317*2π)/12164 weeks
31823.28658 6.37336 (318*2π)/12164 weeks
31916.46462 -17.36909 (319*2π)/12164 weeks
320-7.56878 -22.12574 (320*2π)/12164 weeks
321-22.36422 -3.09878 (321*2π)/12164 weeks
322-11.94058 18.06511 (322*2π)/12164 weeks
32311.14993 17.65413 (323*2π)/12164 weeks
32420.19158 -3.31844 (324*2π)/12164 weeks
3254.62309 -20.08077 (325*2π)/12164 weeks
326-17.41642 -12.38159 (326*2π)/12164 weeks
327-19.44562 11.73336 (327*2π)/12164 weeks
3282.63761 24.33273 (328*2π)/12164 weeks
32924.83104 9.10845 (329*2π)/12164 weeks
33020.99898 -19.1089 (330*2π)/12164 weeks
331-7.14337 -29.23022 (331*2π)/12164 weeks
332-30.26685 -8.42444 (332*2π)/12164 weeks
333-22.95019 22.72511 (333*2π)/12164 weeks
3348.3782 31.53935 (334*2π)/12164 weeks
33531.34943 8.35163 (335*2π)/12164 weeks
33622.20044 -22.66905 (336*2π)/12164 weeks
337-8.73569 -29.31098 (337*2π)/12164 weeks
338-28.55475 -5.85906 (338*2π)/12164 weeks
339-17.24912 21.50933 (339*2π)/12164 weeks
34011.17636 23.55356 (340*2π)/12164 weeks
34124.8723 -.29928 (341*2π)/12164 weeks
3429.53973 -22.28833 (342*2π)/12164 weeks
343-16.63218 -17.63327 (343*2π)/12164 weeks
344-23.41803 8.1721 (344*2π)/12164 weeks
345-2.66612 25.72927 (345*2π)/12164 weeks
34622.93572 14.55059 (346*2π)/12164 weeks
34724.68817 -14.16127 (347*2π)/12164 weeks
348-.487 -29.53485 (348*2π)/12163 weeks
349-26.48701 -14.59847 (349*2π)/12163 weeks
350-26.19772 15.5456 (350*2π)/12163 weeks
351-.07019 30.14279 (351*2π)/12163 weeks
35225.03157 15.10763 (352*2π)/12163 weeks
35324.55715 -12.98553 (353*2π)/12163 weeks
3541.25166 -25.79452 (354*2π)/12163 weeks
355-19.67924 -12.74122 (355*2π)/12163 weeks
356-18.3646 9.74158 (356*2π)/12163 weeks
357.14109 18.04632 (357*2π)/12163 weeks
35814.00878 6.43353 (358*2π)/12163 weeks
3599.64004 -9.10424 (359*2π)/12163 weeks
360-4.94768 -10.78484 (360*2π)/12163 weeks
361-11.35616 1.45018 (361*2π)/12163 weeks
362-2.43033 11.65762 (362*2π)/12163 weeks
36310.67853 7.23057 (363*2π)/12163 weeks
36412.07173 -7.00633 (364*2π)/12163 weeks
365-.43985 -14.83644 (365*2π)/12163 weeks
366-13.49271 -7.38586 (366*2π)/12163 weeks
367-13.41151 7.63406 (367*2π)/12163 weeks
368-.79953 14.9801 (368*2π)/12163 weeks
36911.32428 8.32776 (369*2π)/12163 weeks
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6494.65942