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# Fourier Analysis of AWGI (Ambient Water Corporation)

AWGI (Ambient Water Corporation) appears to have interesting cyclic behaviour every 31 weeks (.0108*sine), 28 weeks (.0074*sine), and 31 weeks (.0029*cosine).

AWGI (Ambient Water Corporation) has an average price of .05 (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 6/18/2012 to 5/14/2018 for AWGI (Ambient Water Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0.04613   0
1.03583 .04914 (1*2π)/309309 weeks
2.01483 .03821 (2*2π)/309155 weeks
3-.00818 .02375 (3*2π)/309103 weeks
4-.00139 .00919 (4*2π)/30977 weeks
5.0036 .00288 (5*2π)/30962 weeks
6.00648 .00896 (6*2π)/30952 weeks
7.00769 .00403 (7*2π)/30944 weeks
8.0075 .01289 (8*2π)/30939 weeks
9.00362 .00816 (9*2π)/30934 weeks
10.0029 .01081 (10*2π)/30931 weeks
11.00136 .00742 (11*2π)/30928 weeks
12.00106 .00711 (12*2π)/30926 weeks
13.00203 .00669 (13*2π)/30924 weeks
14-.00045 .00653 (14*2π)/30922 weeks
15.00146 .00449 (15*2π)/30921 weeks
16.00015 .00609 (16*2π)/30919 weeks
17.00021 .00397 (17*2π)/30918 weeks
18-.00004 .00441 (18*2π)/30917 weeks
19-.00005 .00284 (19*2π)/30916 weeks
20.00101 .00234 (20*2π)/30915 weeks
21.00181 .00339 (21*2π)/30915 weeks
22.00078 .00325 (22*2π)/30914 weeks
23.00149 .00353 (23*2π)/30913 weeks
24-.00028 .00353 (24*2π)/30913 weeks
25.00042 .00189 (25*2π)/30912 weeks
26.00092 .00244 (26*2π)/30912 weeks
27.00064 .0019 (27*2π)/30911 weeks
28.00187 .00219 (28*2π)/30911 weeks
29.00068 .00327 (29*2π)/30911 weeks
30.00015 .00187 (30*2π)/30910 weeks
31.00087 .00192 (31*2π)/30910 weeks
32.00057 .00181 (32*2π)/30910 weeks
33.00038 .00128 (33*2π)/3099 weeks
34.00188 .00024 (34*2π)/3099 weeks
35.00253 .00245 (35*2π)/3099 weeks
36.00155 .00253 (36*2π)/3099 weeks
37.00055 .00288 (37*2π)/3098 weeks
38.00064 .00154 (38*2π)/3098 weeks
39.00066 .00168 (39*2π)/3098 weeks
40.00163 .00144 (40*2π)/3098 weeks
41.00098 .00246 (41*2π)/3098 weeks
42.00067 .00214 (42*2π)/3097 weeks
43.00024 .00164 (43*2π)/3097 weeks
44.00132 .00202 (44*2π)/3097 weeks
45-.00084 .00287 (45*2π)/3097 weeks
46-.0011 .0006 (46*2π)/3097 weeks
47-.00056 -.00016 (47*2π)/3097 weeks
48.00059 -.00059 (48*2π)/3096 weeks
49.00107 -.00072 (49*2π)/3096 weeks
50.00219 -.0001 (50*2π)/3096 weeks
51.00209 .00012 (51*2π)/3096 weeks
52.00269 .00154 (52*2π)/3096 weeks
53.00082 .00103 (53*2π)/3096 weeks
54.00237 .00086 (54*2π)/3096 weeks
55.00142 .0012 (55*2π)/3096 weeks
56.00213 .00163 (56*2π)/3096 weeks
57.00118 .0013 (57*2π)/3095 weeks
58.00127 .00212 (58*2π)/3095 weeks
59.00036 .00046 (59*2π)/3095 weeks
60.0014 .00082 (60*2π)/3095 weeks
61.00204 .00007 (61*2π)/3095 weeks
62.00227 .00211 (62*2π)/3095 weeks
63.00147 .00142 (63*2π)/3095 weeks
64.00139 .00226 (64*2π)/3095 weeks
65.00055 .00188 (65*2π)/3095 weeks
66-.00027 .00096 (66*2π)/3095 weeks
67.00143 -.00007 (67*2π)/3095 weeks
68.00136 .0008 (68*2π)/3095 weeks
69.00228 .00108 (69*2π)/3094 weeks
70.00115 .00176 (70*2π)/3094 weeks
71.00146 .00188 (71*2π)/3094 weeks
72-.00013 .00141 (72*2π)/3094 weeks
73.00114 .00048 (73*2π)/3094 weeks
74.00101 .00089 (74*2π)/3094 weeks
75.00163 .00105 (75*2π)/3094 weeks
76.00089 .00137 (76*2π)/3094 weeks
77.00121 .00106 (77*2π)/3094 weeks
78.00109 .00121 (78*2π)/3094 weeks
79.00103 .00144 (79*2π)/3094 weeks
80.00062 .00109 (80*2π)/3094 weeks
81.00093 .00075 (81*2π)/3094 weeks
82.00157 .00105 (82*2π)/3094 weeks
83.00067 .00151 (83*2π)/3094 weeks
84.00144 .00072 (84*2π)/3094 weeks
85.0011 .00183 (85*2π)/3094 weeks
86.00121 .00152 (86*2π)/3094 weeks
87.0004 .00226 (87*2π)/3094 weeks
88-.00003 .00158 (88*2π)/3094 weeks
89-.0002 .00115 (89*2π)/3093 weeks
90-.00023 .00106 (90*2π)/3093 weeks
91-.00045 .00004 (91*2π)/3093 weeks
92.00079 -.00006 (92*2π)/3093 weeks
93.00079 .00025 (93*2π)/3093 weeks
94.00142 .00079 (94*2π)/3093 weeks
95.00049 .00116 (95*2π)/3093 weeks
96.00051 .00099 (96*2π)/3093 weeks
97.00003 .00049 (97*2π)/3093 weeks
98.00058 .00039 (98*2π)/3093 weeks
99.00072 .00021 (99*2π)/3093 weeks
100.00073 .00059 (100*2π)/3093 weeks
101.00126 .00029 (101*2π)/3093 weeks
102.00089 .00136 (102*2π)/3093 weeks
103.00055 .00103 (103*2π)/3093 weeks
104.00005 .00099 (104*2π)/3093 weeks
105.00042 .00077 (105*2π)/3093 weeks
106-.00046 .00089 (106*2π)/3093 weeks
107-.00031 -.00018 (107*2π)/3093 weeks
108.00025 -.00041 (108*2π)/3093 weeks
109.00076 -.0003 (109*2π)/3093 weeks
110.00104 .00024 (110*2π)/3093 weeks
111.00019 .00042 (111*2π)/3093 weeks
112.00059 -.00026 (112*2π)/3093 weeks
113.0003 -.00002 (113*2π)/3093 weeks
114.00087 -.00105 (114*2π)/3093 weeks
115.00207 -.0002 (115*2π)/3093 weeks
116.00173 .00087 (116*2π)/3093 weeks
117.00092 .0014 (117*2π)/3093 weeks
118-.00013 .00099 (118*2π)/3093 weeks
119-.00048 -.00014 (119*2π)/3093 weeks
120.00058 -.00108 (120*2π)/3093 weeks
121.00141 -.00036 (121*2π)/3093 weeks
122.0014 -.00008 (122*2π)/3093 weeks
123.00133 .00067 (123*2π)/3093 weeks
124.00053 .00025 (124*2π)/3092 weeks
125.00096 .00004 (125*2π)/3092 weeks
126.00095 .00002 (126*2π)/3092 weeks
127.00098 .00001 (127*2π)/3092 weeks
128.00149 -.00009 (128*2π)/3092 weeks
129.00129 .00067 (129*2π)/3092 weeks
130.0011 .00033 (130*2π)/3092 weeks
131.00102 .00068 (131*2π)/3092 weeks
132.00084 .0005 (132*2π)/3092 weeks
133.00068 .00039 (133*2π)/3092 weeks
134.00079 .00039 (134*2π)/3092 weeks
135.00049 -.00008 (135*2π)/3092 weeks
136.0013 -.00009 (136*2π)/3092 weeks
137.00108 .00023 (137*2π)/3092 weeks
138.00149 .0001 (138*2π)/3092 weeks
139.00134 .00094 (139*2π)/3092 weeks
140.00097 .00058 (140*2π)/3092 weeks
141.00071 .00101 (141*2π)/3092 weeks
142.00072 .00005 (142*2π)/3092 weeks
143.00124 .00073 (143*2π)/3092 weeks
144.001 .00095 (144*2π)/3092 weeks
145.00048 .00101 (145*2π)/3092 weeks
146.00069 .00107 (146*2π)/3092 weeks
147-.00037 .00104 (147*2π)/3092 weeks
148.00002 .00015 (148*2π)/3092 weeks
149.00021 .00032 (149*2π)/3092 weeks
150.00018 .00045 (150*2π)/3092 weeks
151-.00023 .00022 (151*2π)/3092 weeks
152-.0001 -.00023 (152*2π)/3092 weeks
153.00037 -.00053 (153*2π)/3092 weeks
154.0007 -.00009 (154*2π)/3092 weeks
155.0007 .00009 (155*2π)/3092 weeks
156.00037 .00053 (156*2π)/3092 weeks
157-.0001 .00023 (157*2π)/3092 weeks
158-.00023 -.00022 (158*2π)/3092 weeks
159.00018 -.00045 (159*2π)/3092 weeks
160.00021 -.00032 (160*2π)/3092 weeks
161.00002 -.00015 (161*2π)/3092 weeks
162-.00037 -.00104 (162*2π)/3092 weeks
163.00069 -.00107 (163*2π)/3092 weeks
164.00048 -.00101 (164*2π)/3092 weeks
165.001 -.00095 (165*2π)/3092 weeks
166.00124 -.00073 (166*2π)/3092 weeks
167.00072 -.00005 (167*2π)/3092 weeks
168.00071 -.00101 (168*2π)/3092 weeks
169.00097 -.00058 (169*2π)/3092 weeks
170.00134 -.00094 (170*2π)/3092 weeks
171.00149 -.0001 (171*2π)/3092 weeks
172.00108 -.00023 (172*2π)/3092 weeks
173.0013 .00009 (173*2π)/3092 weeks
174.00049 .00008 (174*2π)/3092 weeks
175.00079 -.00039 (175*2π)/3092 weeks
176.00068 -.00039 (176*2π)/3092 weeks
177.00084 -.0005 (177*2π)/3092 weeks
178.00102 -.00068 (178*2π)/3092 weeks
179.0011 -.00033 (179*2π)/3092 weeks
180.00129 -.00067 (180*2π)/3092 weeks
181.00149 .00009 (181*2π)/3092 weeks
182.00098 -.00001 (182*2π)/3092 weeks
183.00095 -.00002 (183*2π)/3092 weeks
184.00096 -.00004 (184*2π)/3092 weeks
185.00053 -.00025 (185*2π)/3092 weeks
186.00133 -.00067 (186*2π)/3092 weeks
187.0014 .00008 (187*2π)/3092 weeks
188.00141 .00036 (188*2π)/3092 weeks
189.00058 .00108 (189*2π)/3092 weeks
190-.00048 .00014 (190*2π)/3092 weeks
191-.00013 -.00099 (191*2π)/3092 weeks
192.00092 -.0014 (192*2π)/3092 weeks
193.00173 -.00087 (193*2π)/3092 weeks
194.00207 .0002 (194*2π)/3092 weeks
195.00087 .00105 (195*2π)/3092 weeks
196.0003 .00002 (196*2π)/3092 weeks
197.00059 .00026 (197*2π)/3092 weeks
198.00019 -.00042 (198*2π)/3092 weeks
199.00104 -.00024 (199*2π)/3092 weeks
200.00076 .0003 (200*2π)/3092 weeks
201.00025 .00041 (201*2π)/3092 weeks
202-.00031 .00018 (202*2π)/3092 weeks
203-.00046 -.00089 (203*2π)/3092 weeks
204.00042 -.00077 (204*2π)/3092 weeks
205.00005 -.00099 (205*2π)/3092 weeks
206.00055 -.00103 (206*2π)/3092 weeks
207.00089 -.00136 (207*2π)/3091 weeks
208.00126 -.00029 (208*2π)/3091 weeks
209.00073 -.00059 (209*2π)/3091 weeks
210.00072 -.00021 (210*2π)/3091 weeks
211.00058 -.00039 (211*2π)/3091 weeks
212.00003 -.00049 (212*2π)/3091 weeks
213.00051 -.00099 (213*2π)/3091 weeks
214.00049 -.00116 (214*2π)/3091 weeks
215.00142 -.00079 (215*2π)/3091 weeks
216.00079 -.00025 (216*2π)/3091 weeks
217.00079 .00006 (217*2π)/3091 weeks
218-.00045 -.00004 (218*2π)/3091 weeks
219-.00023 -.00106 (219*2π)/3091 weeks
220-.0002 -.00115 (220*2π)/3091 weeks
221-.00003 -.00158 (221*2π)/3091 weeks
222.0004 -.00226 (222*2π)/3091 weeks
223.00121 -.00152 (223*2π)/3091 weeks
224.0011 -.00183 (224*2π)/3091 weeks
225.00144 -.00072 (225*2π)/3091 weeks
226.00067 -.00151 (226*2π)/3091 weeks
227.00157 -.00105 (227*2π)/3091 weeks
228.00093 -.00075 (228*2π)/3091 weeks
229.00062 -.00109 (229*2π)/3091 weeks
230.00103 -.00144 (230*2π)/3091 weeks
231.00109 -.00121 (231*2π)/3091 weeks
232.00121 -.00106 (232*2π)/3091 weeks
233.00089 -.00137 (233*2π)/3091 weeks
234.00163 -.00105 (234*2π)/3091 weeks
235.00101 -.00089 (235*2π)/3091 weeks
236.00114 -.00048 (236*2π)/3091 weeks
237-.00013 -.00141 (237*2π)/3091 weeks
238.00146 -.00188 (238*2π)/3091 weeks
239.00115 -.00176 (239*2π)/3091 weeks
240.00228 -.00108 (240*2π)/3091 weeks
241.00136 -.0008 (241*2π)/3091 weeks
242.00143 .00007 (242*2π)/3091 weeks
243-.00027 -.00096 (243*2π)/3091 weeks
244.00055 -.00188 (244*2π)/3091 weeks
245.00139 -.00226 (245*2π)/3091 weeks
246.00147 -.00142 (246*2π)/3091 weeks
247.00227 -.00211 (247*2π)/3091 weeks
248.00204 -.00007 (248*2π)/3091 weeks
249.0014 -.00082 (249*2π)/3091 weeks
250.00036 -.00046 (250*2π)/3091 weeks
251.00127 -.00212 (251*2π)/3091 weeks
252.00118 -.0013 (252*2π)/3091 weeks
253.00213 -.00163 (253*2π)/3091 weeks
254.00142 -.0012 (254*2π)/3091 weeks
255.00237 -.00086 (255*2π)/3091 weeks
256.00082 -.00103 (256*2π)/3091 weeks
257.00269 -.00154 (257*2π)/3091 weeks
258.00209 -.00012 (258*2π)/3091 weeks
259.00219 .0001 (259*2π)/3091 weeks
260.00107 .00072 (260*2π)/3091 weeks
261.00059 .00059 (261*2π)/3091 weeks
262-.00056 .00016 (262*2π)/3091 weeks
263-.0011 -.0006 (263*2π)/3091 weeks
264-.00084 -.00287 (264*2π)/3091 weeks
265.00132 -.00202 (265*2π)/3091 weeks
266.00024 -.00164 (266*2π)/3091 weeks
267.00067 -.00214 (267*2π)/3091 weeks
268.00098 -.00246 (268*2π)/3091 weeks
269.00163 -.00144 (269*2π)/3091 weeks
270.00066 -.00168 (270*2π)/3091 weeks
271.00064 -.00154 (271*2π)/3091 weeks
272.00055 -.00288 (272*2π)/3091 weeks
273.00155 -.00253 (273*2π)/3091 weeks
274.00253 -.00245 (274*2π)/3091 weeks
275.00188 -.00024 (275*2π)/3091 weeks
276.00038 -.00128 (276*2π)/3091 weeks
277.00057 -.00181 (277*2π)/3091 weeks
278.00087 -.00192 (278*2π)/3091 weeks
279.00015 -.00187 (279*2π)/3091 weeks
280.00068 -.00327 (280*2π)/3091 weeks
281.00187 -.00219 (281*2π)/3091 weeks
282.00064 -.0019 (282*2π)/3091 weeks
283.00092 -.00244 (283*2π)/3091 weeks
284.00042 -.00189 (284*2π)/3091 weeks
285-.00028 -.00353 (285*2π)/3091 weeks
286.00149 -.00353 (286*2π)/3091 weeks
287.00078 -.00325 (287*2π)/3091 weeks
288.00181 -.00339 (288*2π)/3091 weeks
289.00101 -.00234 (289*2π)/3091 weeks
290-.00005 -.00284 (290*2π)/3091 weeks
291-.00004 -.00441 (291*2π)/3091 weeks
292.00021 -.00397 (292*2π)/3091 weeks
293.00015 -.00609 (293*2π)/3091 weeks
294.00146 -.00449 (294*2π)/3091 weeks
295-.00045 -.00653 (295*2π)/3091 weeks
296.00203 -.00669 (296*2π)/3091 weeks
297.00106 -.00711 (297*2π)/3091 weeks
298.00136 -.00742 (298*2π)/3091 weeks
299.0029 -.01081 (299*2π)/3091 weeks
300.00362 -.00816 (300*2π)/3091 weeks
301.0075 -.01289 (301*2π)/3091 weeks
302.00769 -.00403 (302*2π)/3091 weeks
303.00648 -.00896 (303*2π)/3091 weeks
304.0036 -.00288 (304*2π)/3091 weeks
305-.00139 -.00919 (305*2π)/3091 weeks
306-.00818 -.02375 (306*2π)/3091 weeks
307.01483 -.03821 (307*2π)/3091 weeks