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Fourier Analysis of CITY (AVALON CORRECTNL)


CITY (AVALON CORRECTNL) appears to have interesting cyclic behaviour every 95 weeks (5784.18*cosine), 35 weeks (3339.775*sine), and 87 weeks (3158.496*sine).

CITY (AVALON CORRECTNL) has an average price of 70,327.2 (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 10/17/1995 to 9/5/2016 for CITY (AVALON CORRECTNL), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
070,327.2   0 
126,379.66 -13,054.07 (1*2π)/953953 weeks
22,761.181 3,983.638 (2*2π)/953477 weeks
3-5,015.554 6,647.234 (3*2π)/953318 weeks
4-11,288.82 5,621.103 (4*2π)/953238 weeks
5-7,247.644 5,879.569 (5*2π)/953191 weeks
65,049.635 2,346.034 (6*2π)/953159 weeks
72,821.243 4,460.167 (7*2π)/953136 weeks
83,068.176 -7,003.917 (8*2π)/953119 weeks
9-4,010.183 -4,141.643 (9*2π)/953106 weeks
10-5,784.18 3,079.46 (10*2π)/95395 weeks
11-567.5882 3,158.496 (11*2π)/95387 weeks
12-1,676.09 494.9693 (12*2π)/95379 weeks
13-697.3488 -621.4043 (13*2π)/95373 weeks
14-1,229.009 -1,557.943 (14*2π)/95368 weeks
15-2,874.475 605.1127 (15*2π)/95364 weeks
16128.1936 534.1206 (16*2π)/95360 weeks
17-119.2349 -535.7 (17*2π)/95356 weeks
18-2,847.765 -1,673.607 (18*2π)/95353 weeks
19-3,051.715 -3,063.919 (19*2π)/95350 weeks
201,261.114 -374.8668 (20*2π)/95348 weeks
21353.6606 -1,222.894 (21*2π)/95345 weeks
22-1,985.663 -3,143.516 (22*2π)/95343 weeks
23-1,458.616 -878.7819 (23*2π)/95341 weeks
24-62.98175 -492.4612 (24*2π)/95340 weeks
25381.9359 532.4675 (25*2π)/95338 weeks
262,505.593 -2,326.594 (26*2π)/95337 weeks
271,142.186 -3,339.775 (27*2π)/95335 weeks
28-2,042.587 -2,752.386 (28*2π)/95334 weeks
29-671.7855 -27.70095 (29*2π)/95333 weeks
302,009.787 304.6353 (30*2π)/95332 weeks
312,847.403 -19.00604 (31*2π)/95331 weeks
322,318.048 -1,646.629 (32*2π)/95330 weeks
33738.1328 -1,279.45 (33*2π)/95329 weeks
34-512.1111 -880.4384 (34*2π)/95328 weeks
35-56.584 869.9887 (35*2π)/95327 weeks
36503.8893 1,382.648 (36*2π)/95326 weeks
372,318.212 1,999.545 (37*2π)/95326 weeks
382,194.555 -181.1161 (38*2π)/95325 weeks
391,021.637 -1,430.319 (39*2π)/95324 weeks
40-783.9505 -694.9315 (40*2π)/95324 weeks
41-1,089.983 166.0333 (41*2π)/95323 weeks
42-1,446.233 575.8285 (42*2π)/95323 weeks
431,098.69 1,677.816 (43*2π)/95322 weeks
441,640.808 606.9029 (44*2π)/95322 weeks
451,082.845 -243.5934 (45*2π)/95321 weeks
46204.2249 -45.0807 (46*2π)/95321 weeks
47699.7213 -536.4088 (47*2π)/95320 weeks
48553.733 -196.3521 (48*2π)/95320 weeks
49-750.6768 817.736 (49*2π)/95319 weeks
50-217.4909 2,200.614 (50*2π)/95319 weeks
51-292.4414 1,489.21 (51*2π)/95319 weeks
52-253.7151 362.622 (52*2π)/95318 weeks
53-174.9493 -883.6359 (53*2π)/95318 weeks
54-892.681 -701.6281 (54*2π)/95318 weeks
55-850.1295 832.4346 (55*2π)/95317 weeks
56542.7662 853.9439 (56*2π)/95317 weeks
57496.9256 -228.3419 (57*2π)/95317 weeks
58-320.3366 -820.6363 (58*2π)/95316 weeks
59-958.2225 -536.5189 (59*2π)/95316 weeks
60-1,551.391 -323.8039 (60*2π)/95316 weeks
61347.7014 1,137.16 (61*2π)/95316 weeks
62733.0145 347.316 (62*2π)/95315 weeks
63-144.0831 -551.6075 (63*2π)/95315 weeks
64-368.7352 -791.0245 (64*2π)/95315 weeks
6528.09621 -140.4618 (65*2π)/95315 weeks
66-64.42934 -247.5253 (66*2π)/95314 weeks
67-590.0845 -42.64397 (67*2π)/95314 weeks
68-482.7829 41.52719 (68*2π)/95314 weeks
69-465.8292 -285.6394 (69*2π)/95314 weeks
7080.56577 -615.6569 (70*2π)/95314 weeks
71195.84 -883.8099 (71*2π)/95313 weeks
72340.3129 -1,228.072 (72*2π)/95313 weeks
73422.9273 -721.338 (73*2π)/95313 weeks
74738.7399 -494.3835 (74*2π)/95313 weeks
75773.5354 409.1451 (75*2π)/95313 weeks
76723.2786 310.0529 (76*2π)/95313 weeks
77973.5909 281.2821 (77*2π)/95312 weeks
78125.0498 291.4846 (78*2π)/95312 weeks
79714.4855 361.792 (79*2π)/95312 weeks
80331.2685 -673.629 (80*2π)/95312 weeks
81-63.77319 74.66621 (81*2π)/95312 weeks
82-390.1708 1,088.723 (82*2π)/95312 weeks
83217.423 808.0214 (83*2π)/95311 weeks
84425.6415 445.0886 (84*2π)/95311 weeks
85351.9991 591.4374 (85*2π)/95311 weeks
86670.6127 679.2584 (86*2π)/95311 weeks
87372.8665 -334.8667 (87*2π)/95311 weeks
88-925.7094 -304.7702 (88*2π)/95311 weeks
89-1,308.794 352.2443 (89*2π)/95311 weeks
90-637.4567 413.4055 (90*2π)/95311 weeks
91-423.4904 943.2991 (91*2π)/95310 weeks
92835.0311 1,055.999 (92*2π)/95310 weeks
931,181.275 97.34651 (93*2π)/95310 weeks
94-385.3035 -887.243 (94*2π)/95310 weeks
95-1,379.622 -142.3479 (95*2π)/95310 weeks
96-1,393.888 128.1694 (96*2π)/95310 weeks
97-258.0406 357.4712 (97*2π)/95310 weeks
98-362.185 -204.5806 (98*2π)/95310 weeks
99-241.1595 28.56743 (99*2π)/95310 weeks
100221.0278 71.83643 (100*2π)/95310 weeks
10136.78869 -662.8916 (101*2π)/9539 weeks
102-639.5457 -274.9588 (102*2π)/9539 weeks
10326.74828 -480.9148 (103*2π)/9539 weeks
104-460.2076 -471.9234 (104*2π)/9539 weeks
105-253.6545 -20.61713 (105*2π)/9539 weeks
10636.09927 -81.56352 (106*2π)/9539 weeks
107288.0064 -564.1495 (107*2π)/9539 weeks
108-101.632 -587.4224 (108*2π)/9539 weeks
10969.97778 -354.1921 (109*2π)/9539 weeks
110300.8358 -115.6055 (110*2π)/9539 weeks
111984.0525 -422.6416 (111*2π)/9539 weeks
112384.8366 -175.8562 (112*2π)/9539 weeks
113171.097 170.4112 (113*2π)/9538 weeks
114-115.3766 401.413 (114*2π)/9538 weeks
115-111.0472 518.4052 (115*2π)/9538 weeks
116390.4168 366.1494 (116*2π)/9538 weeks
117178.4167 145.8633 (117*2π)/9538 weeks
118288.2493 -545.5693 (118*2π)/9538 weeks
119-306.2946 -707.0517 (119*2π)/9538 weeks
120-391.5604 -208.0137 (120*2π)/9538 weeks
121-313.5418 688.7675 (121*2π)/9538 weeks
122149.9601 985.179 (122*2π)/9538 weeks
123699.2607 277.7611 (123*2π)/9538 weeks
124658.5069 -497.1312 (124*2π)/9538 weeks
125455.4419 -354.899 (125*2π)/9538 weeks
126-726.6627 -132.8211 (126*2π)/9538 weeks
127-931.9012 271.9044 (127*2π)/9538 weeks
128-437.2993 382.2525 (128*2π)/9537 weeks
129209.4788 -80.01956 (129*2π)/9537 weeks
130210.246 156.5658 (130*2π)/9537 weeks
131443.1709 275.2635 (131*2π)/9537 weeks
132590.9699 39.46303 (132*2π)/9537 weeks
133-48.11714 -186.2822 (133*2π)/9537 weeks
134-418.4681 -224.4529 (134*2π)/9537 weeks
135-805.6185 118.2681 (135*2π)/9537 weeks
136-382.1002 345.1224 (136*2π)/9537 weeks
13765.11678 209.3879 (137*2π)/9537 weeks
138140.4257 114.1286 (138*2π)/9537 weeks
139-39.75387 58.61197 (139*2π)/9537 weeks
140-452.0256 -404.6702 (140*2π)/9537 weeks
141-117.6214 -372.353 (141*2π)/9537 weeks
142211.2494 -119.6925 (142*2π)/9537 weeks
143143.6426 -579.6095 (143*2π)/9537 weeks
144-541.3773 45.26405 (144*2π)/9537 weeks
145110.0443 355.1274 (145*2π)/9537 weeks
146-7.47298 245.4984 (146*2π)/9537 weeks
14720.69637 -113.7144 (147*2π)/9536 weeks
14878.83814 -319.4291 (148*2π)/9536 weeks
14918.09213 -556.1743 (149*2π)/9536 weeks
150-48.37907 -346.4775 (150*2π)/9536 weeks
151-294.5335 -3.651 (151*2π)/9536 weeks
15296.23177 181.5677 (152*2π)/9536 weeks
153372.6983 -114.0552 (153*2π)/9536 weeks
154328.3858 .78998 (154*2π)/9536 weeks
155401.5364 -58.37834 (155*2π)/9536 weeks
15689.20657 -426.4229 (156*2π)/9536 weeks
157-203.7767 -80.33076 (157*2π)/9536 weeks
15871.21311 329.8837 (158*2π)/9536 weeks
15968.73499 93.66429 (159*2π)/9536 weeks
160276.476 95.87477 (160*2π)/9536 weeks
16195.39349 .53506 (161*2π)/9536 weeks
162197.01 280.9987 (162*2π)/9536 weeks
163581.4988 495.3136 (163*2π)/9536 weeks
164-34.17207 33.62751 (164*2π)/9536 weeks
165-539.2558 -203.0991 (165*2π)/9536 weeks
166-91.53532 -184.6008 (166*2π)/9536 weeks
167-346.773 293.0451 (167*2π)/9536 weeks
168-247.1147 397.5288 (168*2π)/9536 weeks
169140.7612 239.0397 (169*2π)/9536 weeks
170251.0204 120.5988 (170*2π)/9536 weeks
171148.1683 59.48016 (171*2π)/9536 weeks
172-122.6902 -131.2126 (172*2π)/9536 weeks
17381.99396 -359.4827 (173*2π)/9536 weeks
174-748.7119 -344.2144 (174*2π)/9535 weeks
175-887.0104 -36.45676 (175*2π)/9535 weeks
17627.23641 572.3051 (176*2π)/9535 weeks
177538.0961 307.9206 (177*2π)/9535 weeks
178423.5705 -134.978 (178*2π)/9535 weeks
179333.7686 -629.0484 (179*2π)/9535 weeks
180-348.5153 -702.2628 (180*2π)/9535 weeks
181-607.1055 17.15118 (181*2π)/9535 weeks
182105.6923 234.215 (182*2π)/9535 weeks
183184.8884 256.4937 (183*2π)/9535 weeks
184327.6042 312.7493 (184*2π)/9535 weeks
185324.6081 -14.38032 (185*2π)/9535 weeks
18636.52708 -322.115 (186*2π)/9535 weeks
187-267.65 -248.6694 (187*2π)/9535 weeks
188-178.4113 -39.0296 (188*2π)/9535 weeks
189-20.39692 204.8652 (189*2π)/9535 weeks
190204.0672 274.317 (190*2π)/9535 weeks
191312.2596 424.3366 (191*2π)/9535 weeks
192150.2915 111.0845 (192*2π)/9535 weeks
193-303.4162 -459.3469 (193*2π)/9535 weeks
194-225.7467 -45.73391 (194*2π)/9535 weeks
195-136.688 96.22356 (195*2π)/9535 weeks
196-19.69978 -64.83646 (196*2π)/9535 weeks
197-40.0393 234.5027 (197*2π)/9535 weeks
198287.9733 221.8193 (198*2π)/9535 weeks
19980.84212 141.0242 (199*2π)/9535 weeks
200-71.83772 -82.96252 (200*2π)/9535 weeks
201-300.9777 42.46423 (201*2π)/9535 weeks
202-149.8472 131.2127 (202*2π)/9535 weeks
203-139.7556 58.45553 (203*2π)/9535 weeks
204-62.88433 -198.309 (204*2π)/9535 weeks
205-117.4943 -345.7412 (205*2π)/9535 weeks
206-353.7917 162.8423 (206*2π)/9535 weeks
20723.46705 346.3642 (207*2π)/9535 weeks
208100.1958 116.5967 (208*2π)/9535 weeks
209-18.29314 -74.42368 (209*2π)/9535 weeks
210-8.22794 -383.5307 (210*2π)/9535 weeks
211-275.6912 -458.4433 (211*2π)/9535 weeks
212-534.3604 5.09983 (212*2π)/9534 weeks
21379.94662 126.0634 (213*2π)/9534 weeks
214336.246 -442.5476 (214*2π)/9534 weeks
215170.6889 -277.0512 (215*2π)/9534 weeks
2163.77839 301.0635 (216*2π)/9534 weeks
217145.2838 218.9292 (217*2π)/9534 weeks
218215.0686 -296.2455 (218*2π)/9534 weeks
219-156.4749 13.92226 (219*2π)/9534 weeks
220154.331 72.0929 (220*2π)/9534 weeks
22159.89814 76.93812 (221*2π)/9534 weeks
222-444.4922 -88.45283 (222*2π)/9534 weeks
223-117.2452 194.0766 (223*2π)/9534 weeks
224270.8149 -311.4078 (224*2π)/9534 weeks
22515.3131 -125.9726 (225*2π)/9534 weeks
226-194.5074 49.01725 (226*2π)/9534 weeks
227456.5571 116.1054 (227*2π)/9534 weeks
228135.8006 -178.5181 (228*2π)/9534 weeks
229-97.66687 249.7964 (229*2π)/9534 weeks
230-211.7645 256.854 (230*2π)/9534 weeks
231-75.17052 2.17735 (231*2π)/9534 weeks
232-271.8262 -303.5396 (232*2π)/9534 weeks
233-189.9931 -298.7798 (233*2π)/9534 weeks
234235.0291 -73.53997 (234*2π)/9534 weeks
235367.051 -339.6679 (235*2π)/9534 weeks
236-58.82028 -137.9348 (236*2π)/9534 weeks
237366.2692 533.8361 (237*2π)/9534 weeks
238373.3411 349.473 (238*2π)/9534 weeks
23936.32238 47.94299 (239*2π)/9534 weeks
240-148.9848 -29.93836 (240*2π)/9534 weeks
241-142.567 -234.5359 (241*2π)/9534 weeks
242-160.6003 127.0481 (242*2π)/9534 weeks
243-206.7798 428.6259 (243*2π)/9534 weeks
24453.80904 512.5316 (244*2π)/9534 weeks
245294.4345 -221.4059 (245*2π)/9534 weeks
246-238.239 -460.4783 (246*2π)/9534 weeks
247-313.6984 34.01423 (247*2π)/9534 weeks
24865.24466 91.36201 (248*2π)/9534 weeks
24999.40686 91.23162 (249*2π)/9534 weeks
25090.89498 327.1546 (250*2π)/9534 weeks
251-208.2876 104.8695 (251*2π)/9534 weeks
252-210.3635 -43.27124 (252*2π)/9534 weeks
253-212.0874 -332.3465 (253*2π)/9534 weeks
254-262.5204 -129.829 (254*2π)/9534 weeks
255-58.2584 60.5689 (255*2π)/9534 weeks
256-146.367 86.93598 (256*2π)/9534 weeks
257168.0985 -167.6964 (257*2π)/9534 weeks
258285.961 -67.94651 (258*2π)/9534 weeks
259198.0097 -141.5011 (259*2π)/9534 weeks
260-253.3667 -200.914 (260*2π)/9534 weeks
261-459.4248 -47.21586 (261*2π)/9534 weeks
262-84.05233 223.1713 (262*2π)/9534 weeks
263281.8018 -56.03819 (263*2π)/9534 weeks
264-64.23706 -245.4935 (264*2π)/9534 weeks
26534.31552 -105.8356 (265*2π)/9534 weeks
266340.6704 -160.9233 (266*2π)/9534 weeks
26764.89431 -274.1278 (267*2π)/9534 weeks
268224.7593 176.6978 (268*2π)/9534 weeks
269173.552 446.4674 (269*2π)/9534 weeks
27095.98006 -40.00614 (270*2π)/9534 weeks
271-152.9803 -101.2568 (271*2π)/9534 weeks
272-213.0453 68.67601 (272*2π)/9534 weeks
273-125.8917 172.1866 (273*2π)/9533 weeks
274175.0603 27.6751 (274*2π)/9533 weeks
275278.5959 220.2581 (275*2π)/9533 weeks
276177.8374 157.5467 (276*2π)/9533 weeks
277141.5652 -70.12946 (277*2π)/9533 weeks
278-448.8594 -189.4937 (278*2π)/9533 weeks
279-333.6886 331.9773 (279*2π)/9533 weeks
28054.46628 165.1435 (280*2π)/9533 weeks
281-53.76186 201.0654 (281*2π)/9533 weeks
282-291.2507 66.8689 (282*2π)/9533 weeks
283-27.1902 90.8719 (283*2π)/9533 weeks
284155.482 -149.5562 (284*2π)/9533 weeks
285-135.4145 -520.5101 (285*2π)/9533 weeks
286-476.7027 -165.9319 (286*2π)/9533 weeks
28747.11308 500.8749 (287*2π)/9533 weeks
288206.0588 51.09796 (288*2π)/9533 weeks
289-173.5377 25.33988 (289*2π)/9533 weeks
29011.47069 83.84671 (290*2π)/9533 weeks
29131.32281 -447.4213 (291*2π)/9533 weeks
292-374.3169 -398.7546 (292*2π)/9533 weeks
293-36.30392 183.7027 (293*2π)/9533 weeks
294240.494 306.1288 (294*2π)/9533 weeks
295143.9353 -166.3222 (295*2π)/9533 weeks
296-307.2705 56.03893 (296*2π)/9533 weeks
29725.81674 447.0595 (297*2π)/9533 weeks
298266.0787 -17.19496 (298*2π)/9533 weeks
299-209.7422 -625.4982 (299*2π)/9533 weeks
300-314.1231 -12.54402 (300*2π)/9533 weeks
301-179.7141 35.79763 (301*2π)/9533 weeks
302-151.6098 -9.79843 (302*2π)/9533 weeks
303-88.12787 183.8823 (303*2π)/9533 weeks
30420.41552 443.0733 (304*2π)/9533 weeks
305401.1953 -173.509 (305*2π)/9533 weeks
306-65.59022 -596.1736 (306*2π)/9533 weeks
307-405.6703 -350.0696 (307*2π)/9533 weeks
308-168.2239 -22.59488 (308*2π)/9533 weeks
309-12.34426 -5.50916 (309*2π)/9533 weeks
310-389.8979 87.05731 (310*2π)/9533 weeks
311132.2054 261.5834 (311*2π)/9533 weeks
312534.2419 -177.263 (312*2π)/9533 weeks
31374.12968 -510.7187 (313*2π)/9533 weeks
314-375.1974 -141.9815 (314*2π)/9533 weeks
315106.2965 -23.81646 (315*2π)/9533 weeks
316361.04 -352.5033 (316*2π)/9533 weeks
317-311.0834 -29.49056 (317*2π)/9533 weeks
31827.32626 550.5095 (318*2π)/9533 weeks
319539.1727 19.3241 (319*2π)/9533 weeks
320148.3805 -244.739 (320*2π)/9533 weeks
321-270.9483 113.4661 (321*2π)/9533 weeks
322-72.31092 110.39 (322*2π)/9533 weeks
323-54.11726 -146.1071 (323*2π)/9533 weeks
324-172.3918 96.05753 (324*2π)/9533 weeks
325220.7275 102.4051 (325*2π)/9533 weeks
326299.2723 -220.4772 (326*2π)/9533 weeks
327-430.7442 -112.5031 (327*2π)/9533 weeks
328-323.9551 197.1157 (328*2π)/9533 weeks
329427.699 105.8341 (329*2π)/9533 weeks
330258.5395 -211.8118 (330*2π)/9533 weeks
331-46.56952 -27.42935 (331*2π)/9533 weeks
332-204.4922 56.85397 (332*2π)/9533 weeks
333-299.4858 131.8967 (333*2π)/9533 weeks
334-95.70054 134.3403 (334*2π)/9533 weeks
335-49.7323 87.15862 (335*2π)/9533 weeks
336174.6072 -93.40046 (336*2π)/9533 weeks
33722.19547 -228.0564 (337*2π)/9533 weeks
338-181.4608 -389.6577 (338*2π)/9533 weeks
339-292.3045 -253.2185 (339*2π)/9533 weeks
340-133.7452 -47.54176 (340*2π)/9533 weeks
34131.19976 117.2332 (341*2π)/9533 weeks
342143.1467 32.55842 (342*2π)/9533 weeks
343419.4266 -29.11464 (343*2π)/9533 weeks
344417.5631 -276.95 (344*2π)/9533 weeks
34585.46112 -109.7353 (345*2π)/9533 weeks
346-358.3771 -47.24501 (346*2π)/9533 weeks
347-194.2457 -120.5971 (347*2π)/9533 weeks
34817.00433 -.66414 (348*2π)/9533 weeks
349171.8019 255.6522 (349*2π)/9533 weeks
350273.7729 112.0355 (350*2π)/9533 weeks
351228.4281 51.98906 (351*2π)/9533 weeks
352146.2341 -146.6036 (352*2π)/9533 weeks
35322.61791 -181.3268 (353*2π)/9533 weeks
354-286.3924 100.5712 (354*2π)/9533 weeks
355136.159 280.7068 (355*2π)/9533 weeks
35614.43867 -116.9168 (356*2π)/9533 weeks
357-221.0017 70.53438 (357*2π)/9533 weeks
358-85.43129 318.7346 (358*2π)/9533 weeks
35962.12431 -197.4081 (359*2π)/9533 weeks
360127.117 -261.8641 (360*2π)/9533 weeks
361362.4989 -70.94437 (361*2π)/9533 weeks
36261.95038 38.9422 (362*2π)/9533 weeks
363-111.9569 92.75858 (363*2π)/9533 weeks
364-340.5794 277.5005 (364*2π)/9533 weeks
365-1.43139 280.1776 (365*2π)/9533 weeks
366354.8239 -184.313 (366*2π)/9533 weeks
367-164.5502 -134.2192 (367*2π)/9533 weeks
368-225.1046 173.4073 (368*2π)/9533 weeks
369241.8521 -185.2483 (369*2π)/9533 weeks
370-128.6557 -152.8988 (370*2π)/9533 weeks
371-198.4759 145.5136 (371*2π)/9533 weeks
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75480.84212 -141.0242 (754*2π)/9531 weeks
755287.9733 -221.8193 (755*2π)/9531 weeks
756-40.0393 -234.5027 (756*2π)/9531 weeks
757-19.69978