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Fourier Analysis of CLP (Colonial Properties Trust Commo)


CLP (Colonial Properties Trust Commo) appears to have interesting cyclic behaviour every 123 weeks (154.0952*cosine), 111 weeks (128.3983*sine), and 94 weeks (77.6566*cosine).

CLP (Colonial Properties Trust Commo) has an average price of 175.14 (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 3/13/2017 for CLP (Colonial Properties Trust Commo), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0175.1396   0 
1188.1998 -282.1574 (1*2π)/12261,226 weeks
2-123.6362 -309.0154 (2*2π)/1226613 weeks
3-315.7978 -67.25298 (3*2π)/1226409 weeks
4-220.4265 214.0773 (4*2π)/1226307 weeks
550.82204 284.037 (5*2π)/1226245 weeks
6244.8587 109.3541 (6*2π)/1226204 weeks
7208.2678 -129.1159 (7*2π)/1226175 weeks
89.29108 -218.9376 (8*2π)/1226153 weeks
9-153.1076 -114.6473 (9*2π)/1226136 weeks
10-154.0952 51.95605 (10*2π)/1226123 weeks
11-36.98156 128.3983 (11*2π)/1226111 weeks
1265.63857 82.1338 (12*2π)/1226102 weeks
1377.65659 -3.06382 (13*2π)/122694 weeks
1431.08981 -41.44684 (14*2π)/122688 weeks
15-2.80979 -28.51999 (15*2π)/122682 weeks
16-2.18825 -14.29562 (16*2π)/122677 weeks
17-2.54921 -23.43422 (17*2π)/122672 weeks
18-28.28252 -26.65924 (18*2π)/122668 weeks
19-52.03994 6.72386 (19*2π)/122665 weeks
20-30.51184 55.83281 (20*2π)/122661 weeks
2132.62793 64.19956 (21*2π)/122658 weeks
2276.87396 9.12846 (22*2π)/122656 weeks
2351.41522 -61.41251 (23*2π)/122653 weeks
24-23.89443 -76.57563 (24*2π)/122651 weeks
25-75.46278 -19.88046 (25*2π)/122649 weeks
26-53.28971 51.23378 (26*2π)/122647 weeks
2715.68023 66.34528 (27*2π)/122645 weeks
2859.1427 17.38511 (28*2π)/122644 weeks
2938.27028 -38.68376 (29*2π)/122642 weeks
30-14.92982 -44.67019 (30*2π)/122641 weeks
31-40.07669 -4.14238 (31*2π)/122640 weeks
32-15.86329 30.69953 (32*2π)/122638 weeks
3321.1853 22.09789 (33*2π)/122637 weeks
3425.83502 -12.77252 (34*2π)/122636 weeks
35-4.0162 -28.25622 (35*2π)/122635 weeks
36-28.50611 -6.2976 (36*2π)/122634 weeks
37-17.34827 24.69518 (37*2π)/122633 weeks
3815.66152 26.60869 (38*2π)/122632 weeks
3930.84617 -2.49952 (39*2π)/122631 weeks
4011.36622 -28.10813 (40*2π)/122631 weeks
41-19.00933 -21.68242 (41*2π)/122630 weeks
42-25.69771 6.92777 (42*2π)/122629 weeks
43-4.14926 23.62643 (43*2π)/122629 weeks
4417.83981 11.63842 (44*2π)/122628 weeks
4515.25293 -11.14181 (45*2π)/122627 weeks
46-5.24374 -16.1356 (46*2π)/122627 weeks
47-15.94924 .38509 (47*2π)/122626 weeks
48-4.18781 15.38671 (48*2π)/122626 weeks
4913.9207 9.29512 (49*2π)/122625 weeks
5014.51919 -10.09323 (50*2π)/122625 weeks
51-3.51501 -18.0794 (51*2π)/122624 weeks
52-17.92969 -4.53912 (52*2π)/122624 weeks
53-11.63269 13.75384 (53*2π)/122623 weeks
547.02613 15.31684 (54*2π)/122623 weeks
5515.06254 -.20857 (55*2π)/122622 weeks
564.35357 -12.06967 (56*2π)/122622 weeks
57-8.84045 -6.01867 (57*2π)/122622 weeks
58-6.27428 7.44126 (58*2π)/122621 weeks
598.00009 7.84384 (59*2π)/122621 weeks
6012.33927 -8.00131 (60*2π)/122620 weeks
61-4.02963 -18.75085 (61*2π)/122620 weeks
62-23.35384 -5.56681 (62*2π)/122620 weeks
63-19.03469 21.6122 (63*2π)/122619 weeks
6410.95338 31.46118 (64*2π)/122619 weeks
6536.54538 7.24954 (65*2π)/122619 weeks
6627.32931 -29.96636 (66*2π)/122619 weeks
67-11.93883 -41.28393 (67*2π)/122618 weeks
68-42.7541 -11.96392 (68*2π)/122618 weeks
69-33.01409 30.17983 (69*2π)/122618 weeks
707.96991 43.3984 (70*2π)/122618 weeks
7139.56097 15.69296 (71*2π)/122617 weeks
7232.2305 -23.79643 (72*2π)/122617 weeks
73-2.99716 -36.52346 (73*2π)/122617 weeks
74-28.89668 -14.58668 (74*2π)/122617 weeks
75-23.36725 14.70191 (75*2π)/122616 weeks
761.01067 22.48947 (76*2π)/122616 weeks
7715.61266 7.21297 (77*2π)/122616 weeks
788.95662 -8.19439 (78*2π)/122616 weeks
79-4.16153 -6.77311 (79*2π)/122616 weeks
80-4.90829 4.19132 (80*2π)/122615 weeks
815.86001 6.2853 (81*2π)/122615 weeks
8210.74195 -5.27763 (82*2π)/122615 weeks
83-.16248 -15.27524 (83*2π)/122615 weeks
84-15.83323 -8.51065 (84*2π)/122615 weeks
85-17.02007 10.35168 (85*2π)/122614 weeks
86-.02775 20.99979 (86*2π)/122614 weeks
8718.0558 11.28864 (87*2π)/122614 weeks
8818.74694 -8.97946 (88*2π)/122614 weeks
892.392 -19.30497 (89*2π)/122614 weeks
90-13.29245 -11.20428 (90*2π)/122614 weeks
91-14.10224 4.14411 (91*2π)/122613 weeks
92-3.46725 10.99305 (92*2π)/122613 weeks
934.8553 6.3938 (93*2π)/122613 weeks
944.35621 .24593 (94*2π)/122613 weeks
951.34879 .06715 (95*2π)/122613 weeks
963.16849 1.84688 (96*2π)/122613 weeks
976.85166 -2.11385 (97*2π)/122613 weeks
983.32978 -9.93014 (98*2π)/122613 weeks
99-8.18707 -10.53351 (99*2π)/122612 weeks
100-15.65117 1.43073 (100*2π)/122612 weeks
101-7.93742 15.67315 (101*2π)/122612 weeks
1029.97658 16.04711 (102*2π)/122612 weeks
10319.6413 -.29357 (103*2π)/122612 weeks
1049.80369 -17.36271 (104*2π)/122612 weeks
105-10.06478 -16.86801 (105*2π)/122612 weeks
106-18.95333 .66248 (106*2π)/122612 weeks
107-7.78363 16.1469 (107*2π)/122611 weeks
10810.26672 13.25846 (108*2π)/122611 weeks
10915.20292 -3.44764 (109*2π)/122611 weeks
1102.73628 -14.25421 (110*2π)/122611 weeks
111-11.41325 -7.45798 (111*2π)/122611 weeks
112-10.62807 7.54646 (112*2π)/122611 weeks
1133.15158 12.37084 (113*2π)/122611 weeks
11412.67527 1.60039 (114*2π)/122611 weeks
1156.35831 -11.22455 (115*2π)/122611 weeks
116-7.82742 -10.35953 (116*2π)/122611 weeks
117-12.60645 2.94264 (117*2π)/122610 weeks
118-2.44503 12.52387 (118*2π)/122610 weeks
11910.19647 7.06068 (119*2π)/122610 weeks
12010.10889 -6.29129 (120*2π)/122610 weeks
121-1.93322 -11.21916 (121*2π)/122610 weeks
122-10.60555 -2.08 (122*2π)/122610 weeks
123-5.32405 8.99459 (123*2π)/122610 weeks
1246.86486 7.89759 (124*2π)/122610 weeks
12510.02177 -4.14033 (125*2π)/122610 weeks
126-.47152 -11.58589 (126*2π)/122610 weeks
127-11.8183 -4.13248 (127*2π)/122610 weeks
128-9.14567 9.91347 (128*2π)/122610 weeks
1295.57202 13.34239 (129*2π)/122610 weeks
13015.20537 .75699 (130*2π)/12269 weeks
1317.7111 -13.77288 (131*2π)/12269 weeks
132-9.0211 -13.23049 (132*2π)/12269 weeks
133-15.75993 2.11605 (133*2π)/12269 weeks
134-4.85031 14.70451 (134*2π)/12269 weeks
13510.76582 10.21753 (135*2π)/12269 weeks
13613.00042 -5.4097 (136*2π)/12269 weeks
137-.04309 -13.31714 (137*2π)/12269 weeks
138-11.88462 -4.40206 (138*2π)/12269 weeks
139-7.87138 9.53945 (139*2π)/12269 weeks
1406.65034 10.68472 (140*2π)/12269 weeks
14113.05997 -2.90247 (141*2π)/12269 weeks
1422.14215 -14.40831 (142*2π)/12269 weeks
143-13.62031 -8.3405 (143*2π)/12269 weeks
144-14.471 9.71022 (144*2π)/12269 weeks
1452.56119 18.5755 (145*2π)/12268 weeks
14618.87468 6.57956 (146*2π)/12268 weeks
14715.20145 -14.30452 (147*2π)/12268 weeks
148-5.57432 -20.66516 (148*2π)/12268 weeks
149-20.94822 -4.88644 (149*2π)/12268 weeks
150-14.02972 15.90702 (150*2π)/12268 weeks
1517.26708 19.24185 (151*2π)/12268 weeks
15219.4462 2.25407 (152*2π)/12268 weeks
15310.06802 -15.28074 (153*2π)/12268 weeks
154-8.73972 -14.4928 (154*2π)/12268 weeks
155-15.26477 1.8858 (155*2π)/12268 weeks
156-3.71029 13.54884 (156*2π)/12268 weeks
15710.61697 7.52808 (157*2π)/12268 weeks
15810.0675 -7.3241 (158*2π)/12268 weeks
159-3.77587 -11.84551 (159*2π)/12268 weeks
160-12.89617 -.36334 (160*2π)/12268 weeks
161-5.23981 12.67425 (161*2π)/12268 weeks
16210.36994 10.42333 (162*2π)/12268 weeks
16314.71225 -5.56794 (163*2π)/12268 weeks
1641.35445 -16.53588 (164*2π)/12267 weeks
165-14.813 -8.89079 (165*2π)/12267 weeks
166-14.94468 9.46854 (166*2π)/12267 weeks
1671.72478 17.76654 (167*2π)/12267 weeks
16816.55043 6.47563 (168*2π)/12267 weeks
16912.99434 -11.73715 (169*2π)/12267 weeks
170-4.5977 -16.37928 (170*2π)/12267 weeks
171-16.19078 -2.90218 (171*2π)/12267 weeks
172-9.12655 12.82519 (172*2π)/12267 weeks
1737.51479 13.12214 (173*2π)/12267 weeks
17414.46222 -1.46523 (174*2π)/12267 weeks
1754.35923 -13.33869 (175*2π)/12267 weeks
176-10.17534 -9.11461 (176*2π)/12267 weeks
177-12.12714 5.51467 (177*2π)/12267 weeks
178.09371 13.07419 (178*2π)/12267 weeks
17911.80305 5.19758 (179*2π)/12267 weeks
1809.43056 -8.44314 (180*2π)/12267 weeks
181-3.57663 -11.83217 (181*2π)/12267 weeks
182-11.85916 -1.6889 (182*2π)/12267 weeks
183-6.30182 9.62187 (183*2π)/12267 weeks
1845.8726 9.30387 (184*2π)/12267 weeks
18510.33658 -1.46698 (185*2π)/12267 weeks
1862.66259 -9.50888 (186*2π)/12267 weeks
187-7.23629 -5.90778 (187*2π)/12267 weeks
188-7.86045 4.19448 (188*2π)/12267 weeks
189.86128 8.51595 (189*2π)/12266 weeks
1907.97514 2.36075 (190*2π)/12266 weeks
1915.205 -6.31194 (191*2π)/12266 weeks
192-3.61734 -7.20829 (192*2π)/12266 weeks
193-7.91429 .25475 (193*2π)/12266 weeks
194-3.07051 7.02039 (194*2π)/12266 weeks
1954.67313 5.5712 (195*2π)/12266 weeks
1966.62159 -1.56669 (196*2π)/12266 weeks
1971.42977 -5.91353 (197*2π)/12266 weeks
198-3.93532 -3.46023 (198*2π)/12266 weeks
199-3.88567 1.61604 (199*2π)/12266 weeks
200-.12099 3.05004 (200*2π)/12266 weeks
2011.80664 .57954 (201*2π)/12266 weeks
202.03993 -1.08112 (202*2π)/12266 weeks
203-1.41066 .72472 (203*2π)/12266 weeks
204.73681 2.64106 (204*2π)/12266 weeks
2053.95279 .5016 (205*2π)/12266 weeks
2062.87632 -4.21928 (206*2π)/12266 weeks
207-2.82419 -5.44081 (207*2π)/12266 weeks
208-6.89498 -.14686 (208*2π)/12266 weeks
209-3.74209 6.4289 (209*2π)/12266 weeks
2104.01288 6.63304 (210*2π)/12266 weeks
2117.84765 -.41404 (211*2π)/12266 weeks
2123.16831 -7.04453 (212*2π)/12266 weeks
213-4.68957 -5.68718 (213*2π)/12266 weeks
214-6.66075 1.77556 (214*2π)/12266 weeks
215-.81357 6.32555 (215*2π)/12266 weeks
2165.35659 2.65028 (216*2π)/12266 weeks
2173.97398 -4.23284 (217*2π)/12266 weeks
218-3.05051 -5.16603 (218*2π)/12266 weeks
219-6.40511 1.46041 (219*2π)/12266 weeks
220-.88448 7.31054 (220*2π)/12266 weeks
2217.21596 4.11872 (221*2π)/12266 weeks
2227.53522 -5.48445 (222*2π)/12266 weeks
223-1.75931 -10.04599 (223*2π)/12265 weeks
224-10.53277 -3.20238 (224*2π)/12265 weeks
225-8.02615 8.29758 (225*2π)/12265 weeks
2263.74863 11.2865 (226*2π)/12265 weeks
22711.913 1.86674 (227*2π)/12265 weeks
2287.03429 -9.70656 (228*2π)/12265 weeks
229-5.46362 -10.4268 (229*2π)/12265 weeks
230-11.35921 .41925 (230*2π)/12265 weeks
231-4.18766 10.05131 (231*2π)/12265 weeks
2327.29237 7.56383 (232*2π)/12265 weeks
2339.43662 -3.79878 (233*2π)/12265 weeks
234-.05559 -10.03443 (234*2π)/12265 weeks
235-9.44508 -3.58779 (235*2π)/12265 weeks
236-7.01843 7.6659 (236*2π)/12265 weeks
2374.64159 9.82738 (237*2π)/12265 weeks
23811.43426 -.38419 (238*2π)/12265 weeks
2394.5936 -11.11916 (239*2π)/12265 weeks
240-8.43259 -9.29665 (240*2π)/12265 weeks
241-12.43068 3.65506 (241*2π)/12265 weeks
242-2.25393 12.99686 (242*2π)/12265 weeks
24310.7196 7.83187 (243*2π)/12265 weeks
24411.68636 -6.15651 (244*2π)/12265 weeks
245-.42977 -12.94503 (245*2π)/12265 weeks
246-11.55794 -5.03185 (246*2π)/12265 weeks
247-9.06936 8.14549 (247*2π)/12265 weeks
2483.62847 11.15814 (248*2π)/12265 weeks
24911.41089 1.00518 (249*2π)/12265 weeks
2505.15086 -9.9779 (250*2π)/12265 weeks
251-7.26403 -8.52865 (251*2π)/12265 weeks
252-10.74164 3.52197 (252*2π)/12265 weeks
253-.95639 11.51453 (253*2π)/12265 weeks
25410.50486 5.6416 (254*2π)/12265 weeks
2559.74563 -7.52305 (255*2π)/12265 weeks
256-2.76152 -12.29661 (256*2π)/12265 weeks
257-12.54233 -2.8748 (257*2π)/12265 weeks
258-8.08876 10.11674 (258*2π)/12265 weeks
2595.55873 11.6796 (259*2π)/12265 weeks
26012.7846 .05322 (260*2π)/12265 weeks
2615.43513 -11.28246 (261*2π)/12265 weeks
262-7.70942 -9.44221 (262*2π)/12265 weeks
263-11.42234 3.01774 (263*2π)/12265 weeks
264-1.77417 11.34869 (264*2π)/12265 weeks
2659.51398 5.97184 (265*2π)/12265 weeks
2669.14765 -6.41562 (266*2π)/12265 weeks
267-2.33847 -10.96532 (267*2π)/12265 weeks
268-11.17661 -2.28612 (268*2π)/12265 weeks
269-6.82753 9.47816 (269*2π)/12265 weeks
2705.84443 10.46255 (270*2π)/12265 weeks
27112.26877 -.67691 (271*2π)/12265 weeks
2724.96153 -11.46895 (272*2π)/12265 weeks
273-7.87669 -9.73174 (273*2π)/12264 weeks
274-12.19673 2.39098 (274*2π)/12264 weeks
275-3.55611 11.52837 (275*2π)/12264 weeks
2768.0907 8.25127 (276*2π)/12264 weeks
27710.4034 -3.03103 (277*2π)/12264 weeks
2782.07736 -9.71396 (278*2π)/12264 weeks
279-6.89305 -5.71709 (279*2π)/12264 weeks
280-7.15673 3.14876 (280*2π)/12264 weeks
281-.16778 6.66832 (281*2π)/12264 weeks
2825.11868 2.28523 (282*2π)/12264 weeks
2833.21477 -3.41389 (283*2π)/12264 weeks
284-2.06953 -3.52457 (284*2π)/12264 weeks
285-3.66892 1.11523 (285*2π)/12264 weeks
286.10092 3.87957 (286*2π)/12264 weeks
2873.95476 1.19252 (287*2π)/12264 weeks
2882.77953 -3.39769 (288*2π)/12264 weeks
289-1.97805 -4.11225 (289*2π)/12264 weeks
290-4.5526 -.13203 (290*2π)/12264 weeks
291-2.17624 3.78081 (291*2π)/12264 weeks
2922.02493 3.38224 (292*2π)/12264 weeks
2933.34556 -.07172 (293*2π)/12264 weeks
2941.20487 -2.25459 (294*2π)/12264 weeks
295-.83207 -1.35442 (295*2π)/12264 weeks
296-.55601 .05267 (296*2π)/12264 weeks
297.42806 -.46748 (297*2π)/12264 weeks
298-.70822 -1.68394 (298*2π)/12264 weeks
299-2.97565 -.40287 (299*2π)/12264 weeks
300-2.52464 3.29035 (300*2π)/12264 weeks
3011.89017 4.73673 (301*2π)/12264 weeks
3025.98092 .93594 (302*2π)/12264 weeks
3034.25044 -5.27561 (303*2π)/12264 weeks
304-2.63992 -6.84118 (304*2π)/12264 weeks
305-7.6044 -1.11955 (305*2π)/12264 weeks
306-4.73178 6.229 (306*2π)/12264 weeks
3073.24585 7.1193 (307*2π)/12264 weeks
3087.68588 .30263 (308*2π)/12264 weeks
3093.5191 -6.55924 (309*2π)/12264 weeks
310-4.36318 -5.72426 (310*2π)/12264 weeks
311-6.72689 1.7093 (311*2π)/12264 weeks
312-.91551 6.74657 (312*2π)/12264 weeks
3135.99001 3.29861 (313*2π)/12264 weeks
3145.41519 -4.51792 (314*2π)/12264 weeks
315-2.26248 -7.04316 (315*2π)/12264 weeks
316-7.77502 -.7727 (316*2π)/12264 weeks
317-4.10556 7.14812 (317*2π)/12264 weeks
3184.89303 7.07832 (318*2π)/12264 weeks
3198.83176 -1.38301 (319*2π)/12264 weeks
3202.68387 -8.68549 (320*2π)/12264 weeks
321-6.60663 -6.2539 (321*2π)/12264 weeks
322-8.40271 3.16722 (322*2π)/12264 weeks
323-.687 8.66669 (323*2π)/12264 weeks
3247.35016 4.05876 (324*2π)/12264 weeks
3256.3216 -5.01031 (325*2π)/12264 weeks
326-2.21744 -7.47533 (326*2π)/12264 weeks
327-7.7092 -.5496 (327*2π)/12264 weeks
328-3.19304 7.1393 (328*2π)/12264 weeks
3295.79841 5.77641 (329*2π)/12264 weeks
3308.03838 -3.50323 (330*2π)/12264 weeks
331-.04361 -9.45412 (331*2π)/12264 weeks
332-9.29614 -4.21841 (332*2π)/12264 weeks
333-8.3766 6.98687 (333*2π)/12264 weeks
3342.62061 11.18258 (334*2π)/12264 weeks
33511.60289 2.92085 (335*2π)/12264 weeks
3368.12214 -9.14959 (336*2π)/12264 weeks
337-4.33541 -11.54004 (337*2π)/12264 weeks
338-12.09839 -1.48519 (338*2π)/12264 weeks
339-6.70151 9.81704 (339*2π)/12264 weeks
3405.53755 9.97258 (340*2π)/12264 weeks
34110.85797 -.60984 (341*2π)/12264 weeks
3423.7482 -9.5687 (342*2π)/12264 weeks
343-6.8734 -6.88772 (343*2π)/12264 weeks
344-8.61944 3.56974 (344*2π)/12264 weeks
345.14733 9.11251 (345*2π)/12264 weeks
3468.57658 3.21745 (346*2π)/12264 weeks
3476.37006 -6.94852 (347*2π)/12264 weeks
348-4.02336 -8.96584 (348*2π)/12264 weeks
349-10.32635 -.09894 (349*2π)/12264 weeks
350-4.77768 9.69583 (350*2π)/12264 weeks
3516.68312 8.94248 (351*2π)/12263 weeks
35211.30894 -1.8246 (352*2π)/12263 weeks
3533.763 -10.83698 (353*2π)/12263 weeks
354-7.60386 -8.44887 (354*2π)/12263 weeks
355-10.69433 2.5077 (355*2π)/12263 weeks
356-2.81792 10.02937 (356*2π)/12263 weeks
3576.94133 6.73369 (357*2π)/12263 weeks
3588.32097 -2.72707 (358*2π)/12263 weeks
3591.20545 -7.67114 (359*2π)/12263 weeks
360-5.59195 -3.78742 (360*2π)/12263 weeks
361-4.84223 3.13555 (361*2π)/12263 weeks
3621.13659 4.83387 (362*2π)/12263 weeks
3634.45211 .23906 (363*2π)/12263 weeks
3641.35957 -4.09218 (364*2π)/12263 weeks
365-3.6649 -2.6178 (365*2π)/12263 weeks
366-4.04433 2.71397 (366*2π)/12263 weeks
367.96263 5.18796 (367*2π)/12263 weeks
3685.3636 1.53596 (368*2π)/12263 weeks
3694.02901 -4.1919 (369*2π)/12263 weeks
370-1.64871 -5.57109 (370*2π)/12263 weeks
371-5.50892 -1.39319 (371*2π)/12263 weeks
372-3.78375 3.75694 (372*2π)/12263 weeks
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