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# Fourier Analysis of CGLD (Buscar Company)

CGLD (Buscar Company) appears to have interesting cyclic behaviour every 29 weeks (2642.563*sine), 26 weeks (2192.176*sine), and 15 weeks (713.8755*cosine).

CGLD (Buscar Company) has an average price of 3,339.62 (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.

## Fourier Analysis

Using data from 10/2/2012 to 4/16/2018 for CGLD (Buscar Company), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
03,339.616   0
16,278.785 1,293.714 (1*2π)/290290 weeks
25,745.873 2,243.928 (2*2π)/290145 weeks
35,072.806 2,970.603 (3*2π)/29097 weeks
44,251.416 3,611.258 (4*2π)/29073 weeks
53,295.142 3,897.855 (5*2π)/29058 weeks
62,458.213 3,908.535 (6*2π)/29048 weeks
71,688.664 3,797.34 (7*2π)/29041 weeks
81,035.634 3,517.498 (8*2π)/29036 weeks
9510.2762 3,089.244 (9*2π)/29032 weeks
10191.3557 2,642.563 (10*2π)/29029 weeks
115.15185 2,192.176 (11*2π)/29026 weeks
12-53.5528 1,772.242 (12*2π)/29024 weeks
13-19.39412 1,429.773 (13*2π)/29022 weeks
14109.4002 1,149.284 (14*2π)/29021 weeks
15247.1514 974.1465 (15*2π)/29019 weeks
16409.0414 880.3366 (16*2π)/29018 weeks
17536.0518 856.1589 (17*2π)/29017 weeks
18614.7833 863.9276 (18*2π)/29016 weeks
19674.7064 894.6573 (19*2π)/29015 weeks
20713.8755 930.6083 (20*2π)/29015 weeks
21701.8238 990.8505 (21*2π)/29014 weeks
22678.3687 1,017.538 (22*2π)/29013 weeks
23654.3524 1,041.627 (23*2π)/29013 weeks
24604.0463 1,070.437 (24*2π)/29012 weeks
25561.3427 1,076.396 (25*2π)/29012 weeks
26516.6912 1,077.016 (26*2π)/29011 weeks
27466.078 1,098.959 (27*2π)/29011 weeks
28395.3664 1,088.688 (28*2π)/29010 weeks
29341.3404 1,075.471 (29*2π)/29010 weeks
30268.0483 1,069.847 (30*2π)/29010 weeks
31187.9446 1,033.559 (31*2π)/2909 weeks
32113.1822 969.1948 (32*2π)/2909 weeks
3370.68052 906.2083 (33*2π)/2909 weeks
3421.15933 834.205 (34*2π)/2909 weeks
35-9.99899 747.323 (35*2π)/2908 weeks
36-12.78767 653.2715 (36*2π)/2908 weeks
3712.09771 575.3234 (37*2π)/2908 weeks
3840.23032 512.2613 (38*2π)/2908 weeks
3988.64189 458.0842 (39*2π)/2907 weeks
40144.7265 430.7984 (40*2π)/2907 weeks
41196.3567 428.2768 (41*2π)/2907 weeks
42235.3058 445.1155 (42*2π)/2907 weeks
43258.4201 475.7138 (43*2π)/2907 weeks
44252.166 512.1349 (44*2π)/2907 weeks
45233.2252 535.2596 (45*2π)/2906 weeks
46200.0745 558.9668 (46*2π)/2906 weeks
47144.7566 560.1329 (47*2π)/2906 weeks
4895.41254 535.8268 (48*2π)/2906 weeks
4961.37044 498.1057 (49*2π)/2906 weeks
5025.00866 459.596 (50*2π)/2906 weeks
514.67534 396.9931 (51*2π)/2906 weeks
528.25031 337.8502 (52*2π)/2906 weeks
5322.67349 289.1068 (53*2π)/2905 weeks
5445.43035 248.0778 (54*2π)/2905 weeks
5572.45627 213.2924 (55*2π)/2905 weeks
56104.1113 193.3682 (56*2π)/2905 weeks
57131.7215 182.1729 (57*2π)/2905 weeks
58148.6865 174.7339 (58*2π)/2905 weeks
59164.6654 165.6347 (59*2π)/2905 weeks
60182.777 155.6087 (60*2π)/2905 weeks
61194.4372 148.2086 (61*2π)/2905 weeks
62214.0575 136.997 (62*2π)/2905 weeks
63234.1764 129.4099 (63*2π)/2905 weeks
64256.0356 128.3478 (64*2π)/2905 weeks
65279.7317 128.0889 (65*2π)/2904 weeks
66303.4865 138.7672 (66*2π)/2904 weeks
67319.6668 155.2045 (67*2π)/2904 weeks
68333.785 175.2231 (68*2π)/2904 weeks
69335.1638 203.1243 (69*2π)/2904 weeks
70321.3745 227.1619 (70*2π)/2904 weeks
71303.4208 235.8994 (71*2π)/2904 weeks
72283.6085 246.1119 (72*2π)/2904 weeks
73255.6684 242.0897 (73*2π)/2904 weeks
74234.1076 223.6753 (74*2π)/2904 weeks
75223.3907 203.0958 (75*2π)/2904 weeks
76214.5263 177.7852 (76*2π)/2904 weeks
77217.1646 144.702 (77*2π)/2904 weeks
78236.7186 116.9893 (78*2π)/2904 weeks
79262.0452 97.49624 (79*2π)/2904 weeks
80293.791 87.53703 (80*2π)/2904 weeks
81330.0473 88.46191 (81*2π)/2904 weeks
82363.8693 103.8179 (82*2π)/2904 weeks
83389.8701 133.4173 (83*2π)/2903 weeks
84401.4189 166.6597 (84*2π)/2903 weeks
85403.5642 200.4044 (85*2π)/2903 weeks
86398.1929 236.8143 (86*2π)/2903 weeks
87375.8503 270.1826 (87*2π)/2903 weeks
88346.424 290.8685 (88*2π)/2903 weeks
89315.8113 305.3273 (89*2π)/2903 weeks
90279.8797 310.0918 (90*2π)/2903 weeks
91245.1106 305.6033 (91*2π)/2903 weeks
92214.7676 292.1389 (92*2π)/2903 weeks
93185.6111 271.8867 (93*2π)/2903 weeks
94168.9791 242.9039 (94*2π)/2903 weeks
95159.4854 216.8701 (95*2π)/2903 weeks
96155.0829 188.8582 (96*2π)/2903 weeks
97160.8762 160.7572 (97*2π)/2903 weeks
98175.3265 141.4291 (98*2π)/2903 weeks
99188.1632 130.6194 (99*2π)/2903 weeks
100202.7396 120.436 (100*2π)/2903 weeks
101220.2894 119.8491 (101*2π)/2903 weeks
102232.2361 126.9459 (102*2π)/2903 weeks
103237.3414 135.3617 (103*2π)/2903 weeks
104239.1465 144.839 (104*2π)/2903 weeks
105237.5535 153.5842 (105*2π)/2903 weeks
106231.8262 164.2675 (106*2π)/2903 weeks
107221.4195 173.1301 (107*2π)/2903 weeks
108206.2284 178.7286 (108*2π)/2903 weeks
109190.2733 181.0379 (109*2π)/2903 weeks
110170.1123 182.9268 (110*2π)/2903 weeks
111144.2927 176.235 (111*2π)/2903 weeks
112119.0287 162.3343 (112*2π)/2903 weeks
11396.70058 138.1608 (113*2π)/2903 weeks
11479.29617 108.9065 (114*2π)/2903 weeks
11570.53807 71.51987 (115*2π)/2903 weeks
11673.50709 33.20269 (116*2π)/2903 weeks
11785.30647 -2.40653 (117*2π)/2902 weeks
118106.5392 -34.57184 (118*2π)/2902 weeks
119135.3002 -60.50976 (119*2π)/2902 weeks
120172.0455 -75.10503 (120*2π)/2902 weeks
121207.6498 -76.47456 (121*2π)/2902 weeks
122239.3319 -68.78073 (122*2π)/2902 weeks
123266.3648 -51.8234 (123*2π)/2902 weeks
124284.3225 -26.84361 (124*2π)/2902 weeks
125286.4832 .86402 (125*2π)/2902 weeks
126281.8317 20.84628 (126*2π)/2902 weeks
127268.9404 40.32848 (127*2π)/2902 weeks
128248.0971 49.2662 (128*2π)/2902 weeks
129227.4443 46.97914 (129*2π)/2902 weeks
130211.1793 38.1871 (130*2π)/2902 weeks
131195.1782 25.42865 (131*2π)/2902 weeks
132187.2874 -.14714 (132*2π)/2902 weeks
133191.7605 -19.62043 (133*2π)/2902 weeks
134197.3609 -37.11298 (134*2π)/2902 weeks
135205.6344 -57.36129 (135*2π)/2902 weeks
136227.9418 -74.80777 (136*2π)/2902 weeks
137251.3152 -76.88608 (137*2π)/2902 weeks
138267.435 -78.56085 (138*2π)/2902 weeks
139290.259 -76.33092 (139*2π)/2902 weeks
140309.0965 -64.43546 (140*2π)/2902 weeks
141318.3744 -48.88684 (141*2π)/2902 weeks
142324.7458 -39.1049 (142*2π)/2902 weeks
143333.6839 -25.29015 (143*2π)/2902 weeks
144332.4032 -9.19642 (144*2π)/2902 weeks
145331.9286   (145*2π)/2902 weeks
146332.4032 9.19642 (146*2π)/2902 weeks
147333.6839 25.29015 (147*2π)/2902 weeks
148324.7458 39.1049 (148*2π)/2902 weeks
149318.3744 48.88684 (149*2π)/2902 weeks
150309.0965 64.43546 (150*2π)/2902 weeks
151290.259 76.33092 (151*2π)/2902 weeks
152267.435 78.56085 (152*2π)/2902 weeks
153251.3152 76.88608 (153*2π)/2902 weeks
154227.9418 74.80777 (154*2π)/2902 weeks
155205.6344 57.36129 (155*2π)/2902 weeks
156197.3609 37.11298 (156*2π)/2902 weeks
157191.7605 19.62043 (157*2π)/2902 weeks
158187.2874 .14714 (158*2π)/2902 weeks
159195.1782 -25.42865 (159*2π)/2902 weeks
160211.1793 -38.1871 (160*2π)/2902 weeks
161227.4443 -46.97914 (161*2π)/2902 weeks
162248.0971 -49.2662 (162*2π)/2902 weeks
163268.9404 -40.32848 (163*2π)/2902 weeks
164281.8317 -20.84628 (164*2π)/2902 weeks
165286.4832 -.86402 (165*2π)/2902 weeks
166284.3225 26.84361 (166*2π)/2902 weeks
167266.3648 51.8234 (167*2π)/2902 weeks
168239.3319 68.78073 (168*2π)/2902 weeks
169207.6498 76.47456 (169*2π)/2902 weeks
170172.0455 75.10503 (170*2π)/2902 weeks
171135.3002 60.50976 (171*2π)/2902 weeks
172106.5392 34.57184 (172*2π)/2902 weeks
17385.30647 2.40653 (173*2π)/2902 weeks
17473.50709 -33.20269 (174*2π)/2902 weeks
17570.53807 -71.51987 (175*2π)/2902 weeks
17679.29617 -108.9065 (176*2π)/2902 weeks
17796.70058 -138.1608 (177*2π)/2902 weeks
178119.0287 -162.3343 (178*2π)/2902 weeks
179144.2927 -176.235 (179*2π)/2902 weeks
180170.1123 -182.9268 (180*2π)/2902 weeks
181190.2733 -181.0379 (181*2π)/2902 weeks
182206.2284 -178.7286 (182*2π)/2902 weeks
183221.4195 -173.1301 (183*2π)/2902 weeks
184231.8262 -164.2675 (184*2π)/2902 weeks
185237.5535 -153.5842 (185*2π)/2902 weeks
186239.1465 -144.839 (186*2π)/2902 weeks
187237.3414 -135.3617 (187*2π)/2902 weeks
188232.2361 -126.9459 (188*2π)/2902 weeks
189220.2894 -119.8491 (189*2π)/2902 weeks
190202.7396 -120.436 (190*2π)/2902 weeks
191188.1632 -130.6194 (191*2π)/2902 weeks
192175.3265 -141.4291 (192*2π)/2902 weeks
193160.8762 -160.7572 (193*2π)/2902 weeks
194155.0829 -188.8582 (194*2π)/2901 weeks
195159.4854 -216.8701 (195*2π)/2901 weeks
196168.9791 -242.9039 (196*2π)/2901 weeks
197185.6111 -271.8867 (197*2π)/2901 weeks
198214.7676 -292.1389 (198*2π)/2901 weeks
199245.1106 -305.6033 (199*2π)/2901 weeks
200279.8797 -310.0918 (200*2π)/2901 weeks
201315.8113 -305.3273 (201*2π)/2901 weeks
202346.424 -290.8685 (202*2π)/2901 weeks
203375.8503 -270.1826 (203*2π)/2901 weeks
204398.1929 -236.8143 (204*2π)/2901 weeks
205403.5642 -200.4044 (205*2π)/2901 weeks
206401.4189 -166.6597 (206*2π)/2901 weeks
207389.8701 -133.4173 (207*2π)/2901 weeks
208363.8693 -103.8179 (208*2π)/2901 weeks
209330.0473 -88.46191 (209*2π)/2901 weeks
210293.791 -87.53703 (210*2π)/2901 weeks
211262.0452 -97.49624 (211*2π)/2901 weeks
212236.7186 -116.9893 (212*2π)/2901 weeks
213217.1646 -144.702 (213*2π)/2901 weeks
214214.5263 -177.7852 (214*2π)/2901 weeks
215223.3907 -203.0958 (215*2π)/2901 weeks
216234.1076 -223.6753 (216*2π)/2901 weeks
217255.6684 -242.0897 (217*2π)/2901 weeks
218283.6085 -246.1119 (218*2π)/2901 weeks
219303.4208 -235.8994 (219*2π)/2901 weeks
220321.3745 -227.1619 (220*2π)/2901 weeks
221335.1638 -203.1243 (221*2π)/2901 weeks
222333.785 -175.2231 (222*2π)/2901 weeks
223319.6668 -155.2045 (223*2π)/2901 weeks
224303.4865 -138.7672 (224*2π)/2901 weeks
225279.7317 -128.0889 (225*2π)/2901 weeks
226256.0356 -128.3478 (226*2π)/2901 weeks
227234.1764 -129.4099 (227*2π)/2901 weeks
228214.0575 -136.997 (228*2π)/2901 weeks
229194.4372 -148.2086 (229*2π)/2901 weeks
230182.777 -155.6087 (230*2π)/2901 weeks
231164.6654 -165.6347 (231*2π)/2901 weeks
232148.6865 -174.7339 (232*2π)/2901 weeks
233131.7215 -182.1729 (233*2π)/2901 weeks
234104.1113 -193.3682 (234*2π)/2901 weeks
23572.45627 -213.2924 (235*2π)/2901 weeks
23645.43035 -248.0778 (236*2π)/2901 weeks
23722.67349 -289.1068 (237*2π)/2901 weeks
2388.25031 -337.8502 (238*2π)/2901 weeks
2394.67534 -396.9931 (239*2π)/2901 weeks
24025.00866 -459.596 (240*2π)/2901 weeks
24161.37044 -498.1057 (241*2π)/2901 weeks
24295.41254 -535.8268 (242*2π)/2901 weeks
243144.7566 -560.1329 (243*2π)/2901 weeks
244200.0745 -558.9668 (244*2π)/2901 weeks
245233.2252 -535.2596 (245*2π)/2901 weeks
246252.166 -512.1349 (246*2π)/2901 weeks
247258.4201 -475.7138 (247*2π)/2901 weeks
248235.3058 -445.1155 (248*2π)/2901 weeks
249196.3567 -428.2768 (249*2π)/2901 weeks
250144.7265 -430.7984 (250*2π)/2901 weeks
25188.64189 -458.0842 (251*2π)/2901 weeks
25240.23032 -512.2613 (252*2π)/2901 weeks
25312.09771 -575.3234 (253*2π)/2901 weeks
254-12.78767 -653.2715 (254*2π)/2901 weeks
255-9.99899 -747.323 (255*2π)/2901 weeks
25621.15933 -834.205 (256*2π)/2901 weeks
25770.68052 -906.2083 (257*2π)/2901 weeks
258113.1822 -969.1948 (258*2π)/2901 weeks
259187.9446 -1,033.559 (259*2π)/2901 weeks
260268.0483 -1,069.847 (260*2π)/2901 weeks
261341.3404 -1,075.471 (261*2π)/2901 weeks
262395.3664 -1,088.688 (262*2π)/2901 weeks
263466.078 -1,098.959 (263*2π)/2901 weeks
264516.6912 -1,077.016 (264*2π)/2901 weeks
265561.3427 -1,076.396 (265*2π)/2901 weeks
266604.0463 -1,070.437 (266*2π)/2901 weeks
267654.3524 -1,041.627 (267*2π)/2901 weeks
268678.3687 -1,017.538 (268*2π)/2901 weeks
269701.8238 -990.8505 (269*2π)/2901 weeks
270713.8755 -930.6083 (270*2π)/2901 weeks
271674.7064 -894.6573 (271*2π)/2901 weeks
272614.7833 -863.9276 (272*2π)/2901 weeks
273536.0518 -856.1589 (273*2π)/2901 weeks
274409.0414 -880.3366 (274*2π)/2901 weeks
275247.1514 -974.1465 (275*2π)/2901 weeks
276109.4002 -1,149.284 (276*2π)/2901 weeks
277-19.39412 -1,429.773 (277*2π)/2901 weeks
278-53.5528 -1,772.242 (278*2π)/2901 weeks
2795.15185 -2,192.176 (279*2π)/2901 weeks
280191.3557 -2,642.563 (280*2π)/2901 weeks
281510.2762 -3,089.244 (281*2π)/2901 weeks
2821,035.634 -3,517.498 (282*2π)/2901 weeks
2831,688.664 -3,797.34 (283*2π)/2901 weeks
2842,458.213 -3,908.535 (284*2π)/2901 weeks
2853,295.142 -3,897.855 (285*2π)/2901 weeks
2864,251.416 -3,611.258 (286*2π)/2901 weeks
2875,072.806 -2,970.603 (287*2π)/2901 weeks
2885,745.873 -2,243.928 (288*2π)/2901 weeks