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# Fourier Analysis of ACL (Alcon Inc Common Shares)

ACL (Alcon Inc Common Shares) appears to have interesting cyclic behaviour every 26 weeks (155.9278*cosine), 31 weeks (148.4359*cosine), and 5 weeks (126.3523*cosine).

ACL (Alcon Inc Common Shares) has an average price of 124.83 (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 1/13/2000 to 4/17/2017 for ACL (Alcon Inc Common Shares), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0124.8328   0
1-35.43111 -82.19679 (1*2π)/899899 weeks
288.41417 98.5703 (2*2π)/899450 weeks
3125.0625 -77.0464 (3*2π)/899300 weeks
4-12.30036 11.15874 (4*2π)/899225 weeks
5138.4384 39.19173 (5*2π)/899180 weeks
651.82053 -75.70583 (6*2π)/899150 weeks
754.23212 45.53941 (7*2π)/899128 weeks
8109.0168 -37.55082 (8*2π)/899112 weeks
936.91222 -9.98827 (9*2π)/899100 weeks
1091.88002 -4.65296 (10*2π)/89990 weeks
1159.65163 -21.97128 (11*2π)/89982 weeks
1281.89159 -7.15696 (12*2π)/89975 weeks
1360.72102 -30.63526 (13*2π)/89969 weeks
1469.49329 5.67446 (14*2π)/89964 weeks
1588.23235 -37.10057 (15*2π)/89960 weeks
1637.90181 -18.20415 (16*2π)/89956 weeks
1794.6421 -1.44443 (17*2π)/89953 weeks
1861.96207 -51.73147 (18*2π)/89950 weeks
1954.46788 -1.57147 (19*2π)/89947 weeks
2084.77439 -27.61876 (20*2π)/89945 weeks
2163.21883 -33.65603 (21*2π)/89943 weeks
2255.56092 -26.8584 (22*2π)/89941 weeks
2373.22286 -8.46178 (23*2π)/89939 weeks
2480.85271 -57.09731 (24*2π)/89937 weeks
2521.21126 -19.30709 (25*2π)/89936 weeks
26111.2437 -.45102 (26*2π)/89935 weeks
2748.65472 -98.78976 (27*2π)/89933 weeks
2820.93327 34.5633 (28*2π)/89932 weeks
29148.4359 -57.3784 (29*2π)/89931 weeks
30-25.20497 -79.84753 (30*2π)/89930 weeks
3195.52017 60.56989 (31*2π)/89929 weeks
3299.53059 -133.1213 (32*2π)/89928 weeks
33-34.83947 6.72177 (33*2π)/89927 weeks
34155.9278 -9.75042 (34*2π)/89926 weeks
355.38951 -123.1666 (35*2π)/89926 weeks
3641.5767 50.05106 (36*2π)/89925 weeks
37119.3664 -96.35992 (37*2π)/89924 weeks
38-19.73206 -40.31426 (38*2π)/89924 weeks
39105.7186 -5.23614 (39*2π)/89923 weeks
4036.25331 -95.00278 (40*2π)/89922 weeks
4142.03277 -1.29487 (41*2π)/89922 weeks
4275.51809 -74.92755 (42*2π)/89921 weeks
4318.70685 -30.56131 (43*2π)/89921 weeks
4485.09818 -48.71583 (44*2π)/89920 weeks
4512.63807 -64.88232 (45*2π)/89920 weeks
4670.8774 -11.3952 (46*2π)/89920 weeks
4750.45107 -96.86895 (47*2π)/89919 weeks
4810.03317 -13.71279 (48*2π)/89919 weeks
4996.04063 -54.50372 (49*2π)/89918 weeks
503.82477 -82.30544 (50*2π)/89918 weeks
5148.0487 -4.25567 (51*2π)/89918 weeks
5268.5425 -85.17003 (52*2π)/89917 weeks
533.22724 -52.11918 (53*2π)/89917 weeks
5457.27101 -27.87489 (54*2π)/89917 weeks
5550.29812 -77.71897 (55*2π)/89916 weeks
5610.48663 -56.86074 (56*2π)/89916 weeks
5746.64325 -23.88115 (57*2π)/89916 weeks
5860.61131 -87.43385 (58*2π)/89916 weeks
59-18.09017 -54.63906 (59*2π)/89915 weeks
6075.39443 -9.93057 (60*2π)/89915 weeks
6135.58875 -127.958 (61*2π)/89915 weeks
62-29.01907 -3.01391 (62*2π)/89915 weeks
63115.5197 -53.31507 (63*2π)/89914 weeks
64-34.68315 -121.2264 (64*2π)/89914 weeks
6529.91557 35.14664 (65*2π)/89914 weeks
6686.42474 -128.0986 (66*2π)/89914 weeks
67-64.56083 -44.44625 (67*2π)/89913 weeks
6896.60719 -11.68969 (68*2π)/89913 weeks
69-2.00893 -133.2979 (69*2π)/89913 weeks
70-2.40545 9.66503 (70*2π)/89913 weeks
7173.36184 -93.91667 (71*2π)/89913 weeks
72-36.18739 -57.69335 (72*2π)/89912 weeks
7361.3234 -34.25326 (73*2π)/89912 weeks
74-7.96342 -97.01383 (74*2π)/89912 weeks
7521.59193 -11.41101 (75*2π)/89912 weeks
7634.62513 -105.2647 (76*2π)/89912 weeks
77-31.67377 -25.41686 (77*2π)/89912 weeks
7875.26586 -58.7701 (78*2π)/89912 weeks
79-42.37735 -98.33766 (79*2π)/89911 weeks
8028.28179 11.41507 (80*2π)/89911 weeks
8142.99711 -123.7411 (81*2π)/89911 weeks
82-60.32167 -31.00604 (82*2π)/89911 weeks
8374.90345 -30.82044 (83*2π)/89911 weeks
84-21.76183 -119.8757 (84*2π)/89911 weeks
85-16.60291 1.99337 (85*2π)/89911 weeks
8656.63347 -77.98466 (86*2π)/89910 weeks
87-39.17327 -78.63686 (87*2π)/89910 weeks
889.01287 -15.88437 (88*2π)/89910 weeks
8928.46805 -78.37247 (89*2π)/89910 weeks
90-29.24936 -69.25899 (90*2π)/89910 weeks
911.21574 -19.45075 (91*2π)/89910 weeks
9233.61637 -78.64479 (92*2π)/89910 weeks
93-49.41271 -70.67674 (93*2π)/89910 weeks
9418.95075 -.66655 (94*2π)/89910 weeks
9522.40058 -112.6555 (95*2π)/8999 weeks
96-69.85387 -28.5344 (96*2π)/8999 weeks
9761.53648 -24.07867 (97*2π)/8999 weeks
98-36.93799 -120.1403 (98*2π)/8999 weeks
99-29.90756 18.286 (99*2π)/8999 weeks
10052.02678 -88.69456 (100*2π)/8999 weeks
101-75.26723 -59.18106 (101*2π)/8999 weeks
10233.78453 -7.84084 (102*2π)/8999 weeks
103-21.40462 -103.6151 (103*2π)/8999 weeks
104-28.24012 -2.75917 (104*2π)/8999 weeks
10522.32586 -79.88268 (105*2π)/8999 weeks
106-58.31002 -35.32263 (106*2π)/8998 weeks
10736.27544 -36.44124 (107*2π)/8998 weeks
108-56.58055 -86.364 (108*2π)/8998 weeks
109-.48789 17.88054 (109*2π)/8998 weeks
11013.97326 -112.7505 (110*2π)/8998 weeks
111-87.77062 -7.50258 (111*2π)/8998 weeks
11267.75048 -26.27716 (112*2π)/8998 weeks
113-72.53407 -115.7055 (113*2π)/8998 weeks
114-24.95889 49.33195 (114*2π)/8998 weeks
11547.92889 -105.8085 (115*2π)/8998 weeks
116-109.1086 -40.16211 (116*2π)/8998 weeks
11742.82234 16.6422 (117*2π)/8998 weeks
118-25.12636 -118.21 (118*2π)/8998 weeks
119-67.32078 13.00837 (119*2π)/8998 weeks
12039.05606 -40.86263 (120*2π)/8997 weeks
121-56.34486 -74.18771 (121*2π)/8997 weeks
122-28.09322 2.14991 (122*2π)/8997 weeks
1236.18255 -48.68027 (123*2π)/8997 weeks
124-42.58457 -53.83947 (124*2π)/8997 weeks
125-33.21435 -9.38624 (125*2π)/8997 weeks
1268.05548 -38.2591 (126*2π)/8997 weeks
127-50.36828 -61.54824 (127*2π)/8997 weeks
128-29.12252 11.14717 (128*2π)/8997 weeks
12913.62513 -61.74557 (129*2π)/8997 weeks
130-75.87221 -36.91689 (130*2π)/8997 weeks
1318.91288 8.70975 (131*2π)/8997 weeks
132-25.56484 -80.10794 (132*2π)/8997 weeks
133-55.38134 8.07145 (133*2π)/8997 weeks
13415.75786 -39.19161 (134*2π)/8997 weeks
135-62.87356 -38.68748 (135*2π)/8997 weeks
136-1.13912 -2.16645 (136*2π)/8997 weeks
137-39.92141 -57.95616 (137*2π)/8997 weeks
138-26.99612 13.70211 (138*2π)/8997 weeks
139-4.24909 -65.13328 (139*2π)/8996 weeks
140-75.78793 3.48829 (140*2π)/8996 weeks
14139.1954 -14.79555 (141*2π)/8996 weeks
142-80.70055 -76.3664 (142*2π)/8996 weeks
143-18.9327 64.03799 (143*2π)/8996 weeks
14427.04273 -97.14716 (144*2π)/8996 weeks
145-123.5814 3.5833 (145*2π)/8996 weeks
14664.67065 29.11739 (146*2π)/8996 weeks
147-63.19113 -116.8886 (147*2π)/8996 weeks
148-65.30437 78.57449 (148*2π)/8996 weeks
14963.88068 -60.72947 (149*2π)/8996 weeks
150-116.9501 -44.11803 (150*2π)/8996 weeks
15116.95186 59.40967 (151*2π)/8996 weeks
152-8.61598 -90.21841 (152*2π)/8996 weeks
153-81.81107 21.82611 (153*2π)/8996 weeks
15427.30228 -3.11718 (154*2π)/8996 weeks
155-48.88676 -47.96627 (155*2π)/8996 weeks
156-32.83737 15.65648 (156*2π)/8996 weeks
157-9.12056 -18.15226 (157*2π)/8996 weeks
158-29.58995 -19.22901 (158*2π)/8996 weeks
159-35.91554 -7.94274 (159*2π)/8996 weeks
160-12.94186 3.92183 (160*2π)/8996 weeks
161-20.36979 -33.7669 (161*2π)/8996 weeks
162-48.26701 7.64222 (162*2π)/8996 weeks
1637.07153 -3.56742 (163*2π)/8996 weeks
164-43.71749 -32.1581 (164*2π)/8995 weeks
165-23.68823 21.74326 (165*2π)/8995 weeks
166-8.07901 -26.61587 (166*2π)/8995 weeks
167-40.68439 1.08834 (167*2π)/8995 weeks
168-7.78631 -7.44568 (168*2π)/8995 weeks
169-37.66965 -3.76597 (169*2π)/8995 weeks
1701.57203 -1.09115 (170*2π)/8995 weeks
171-48.50184 -26.04537 (171*2π)/8995 weeks
172-8.68695 41.40779 (172*2π)/8995 weeks
1733.04761 -58.1217 (173*2π)/8995 weeks
174-84.45424 28.29985 (174*2π)/8995 weeks
17559.52768 18.42866 (175*2π)/8995 weeks
176-70.19925 -78.78313 (176*2π)/8995 weeks
177-33.39214 96.22721 (177*2π)/8995 weeks
17861.96076 -68.6507 (178*2π)/8995 weeks
179-126.3523 -5.88193 (179*2π)/8995 weeks
18059.6871 75.35157 (180*2π)/8995 weeks
181-23.93027 -107.6634 (181*2π)/8995 weeks
182-81.28193 80.32868 (182*2π)/8995 weeks
18378.57527 -16.34451 (183*2π)/8995 weeks
184-90.64036 -46.52638 (184*2π)/8995 weeks
1856.36854 74.80456 (185*2π)/8995 weeks
18611.95385 -59.79641 (186*2π)/8995 weeks
187-63.58517 24.36627 (187*2π)/8995 weeks
18826.43135 9.93703 (188*2π)/8995 weeks
189-34.70361 -20.62583 (189*2π)/8995 weeks
190-7.39835 20.34154 (190*2π)/8995 weeks
191-15.69431 -12.61654 (191*2π)/8995 weeks
192-10.71185 17.73922 (192*2π)/8995 weeks
193-6.53256 -19.11263 (193*2π)/8995 weeks
194-31.98374 19.62721 (194*2π)/8995 weeks
19518.98812 .43441 (195*2π)/8995 weeks
196-36.01516 -17.32879 (196*2π)/8995 weeks
197-5.11871 32.4941 (197*2π)/8995 weeks
1985.39308 -20.48238 (198*2π)/8995 weeks
199-31.37589 5.53689 (199*2π)/8995 weeks
2001.42255 13.27504 (200*2π)/8994 weeks
201-3.46815 -5.43077 (201*2π)/8994 weeks
202-16.31638 -6.54033 (202*2π)/8994 weeks
203-17.2938 21.97222 (203*2π)/8994 weeks
20425.53157 -5.42341 (204*2π)/8994 weeks
205-45.72492 -23.76234 (205*2π)/8994 weeks
2064.91757 60.21946 (206*2π)/8994 weeks
20731.86308 -57.68394 (207*2π)/8994 weeks
208-84.95275 21.79551 (208*2π)/8994 weeks
20973.32545 45.95114 (209*2π)/8994 weeks
210-35.22596 -90.62403 (210*2π)/8994 weeks
211-47.30323 94.34608 (211*2π)/8994 weeks
21291.75368 -38.9915 (212*2π)/8994 weeks
213-102.6679 -32.89713 (213*2π)/8994 weeks
21445.86155 90.67972 (214*2π)/8994 weeks
21517.34795 -94.05977 (215*2π)/8994 weeks
216-75.58485 55.55966 (216*2π)/8994 weeks
21779.29428 5.39619 (217*2π)/8994 weeks
218-56.16519 -47.92859 (218*2π)/8994 weeks
2199.12342 61.59515 (219*2π)/8994 weeks
22019.5926 -46.97726 (220*2π)/8994 weeks
221-36.82883 24.5318 (221*2π)/8994 weeks
22235.0909 -5.81188 (222*2π)/8994 weeks
223-34.4533 -8.76498 (223*2π)/8994 weeks
22427.75416 21.99038 (224*2π)/8994 weeks
225-15.86893 -38.25367 (225*2π)/8994 weeks
226-9.09198 43.15077 (226*2π)/8994 weeks
22736.61351 -33.73767 (227*2π)/8994 weeks
228-51.15335 .01738 (228*2π)/8994 weeks
22940.16673 31.22749 (229*2π)/8994 weeks
230-5.64294 -51.97931 (230*2π)/8994 weeks
231-27.90002 34.59743 (231*2π)/8994 weeks
23242.60474 -6.31614 (232*2π)/8994 weeks
233-23.79478 -28.69559 (233*2π)/8994 weeks
234-5.38312 26.04428 (234*2π)/8994 weeks
23527.31942 -9.25714 (235*2π)/8994 weeks
236-14.21567 -26.99106 (236*2π)/8994 weeks
237-15.12647 25.82649 (237*2π)/8994 weeks
23845.2792 -8.45115 (238*2π)/8994 weeks
239-36.33565 -43.17444 (239*2π)/8994 weeks
240-1.21809 59.01723 (240*2π)/8994 weeks
24157.01988 -53.9415 (241*2π)/8994 weeks
242-79.10582 -10.19754 (242*2π)/8994 weeks
24361.66475 57.82493 (243*2π)/8994 weeks
2442.16055 -97.46507 (244*2π)/8994 weeks
245-60.65976 61.74093 (245*2π)/8994 weeks
24693.78159 -15.62307 (246*2π)/8994 weeks
247-70.33981 -59.40245 (247*2π)/8994 weeks
24822.37184 74.46508 (248*2π)/8994 weeks
24935.53389 -78.21307 (249*2π)/8994 weeks
250-60.72117 23.47933 (250*2π)/8994 weeks
25163.50979 1.20556 (251*2π)/8994 weeks
252-38.99827 -44.98937 (252*2π)/8994 weeks
25317.85877 37.50688 (253*2π)/8994 weeks
2548.30327 -55.38001 (254*2π)/8994 weeks
255-25.49667 29.42274 (255*2π)/8994 weeks
25648.06324 -32.34936 (256*2π)/8994 weeks
257-55.34618 -17.06494 (257*2π)/8993 weeks
25847.9604 32.24228 (258*2π)/8993 weeks
259-9.91995 -78.2304 (259*2π)/8993 weeks
260-35.13365 51.4023 (260*2π)/8993 weeks
26171.10837 -35.24076 (261*2π)/8993 weeks
262-67.20238 -40.67283 (262*2π)/8993 weeks
26329.55936 54.08466 (263*2π)/8993 weeks
26424.01983 -75.45754 (264*2π)/8993 weeks
265-56.13218 12.75116 (265*2π)/8993 weeks
26650.0879 9.35802 (266*2π)/8993 weeks
267-13.18162 -57.68506 (267*2π)/8993 weeks
268-24.82353 17.93404 (268*2π)/8993 weeks
26933.37328 -7.93003 (269*2π)/8993 weeks
270-10.21976 -45.21859 (270*2π)/8993 weeks
271-27.53904 11.9533 (271*2π)/8993 weeks
27241.28688 -3.98673 (272*2π)/8993 weeks
273-23.39506 -60.54755 (273*2π)/8993 weeks
274-24.9859 40.23571 (274*2π)/8993 weeks
27559.36686 -37.44924 (275*2π)/8993 weeks
276-66.48424 -43.24316 (276*2π)/8993 weeks
27725.2589 53.32192 (277*2π)/8993 weeks
27823.01666 -84.51155 (278*2π)/8993 weeks
279-67.47732 19.83511 (279*2π)/8993 weeks
28065.30822 -.60122 (280*2π)/8993 weeks
281-45.16896 -65.68627 (281*2π)/8993 weeks
282-1.16652 44.34924 (282*2π)/8993 weeks
28323.56737 -61.3734 (283*2π)/8993 weeks
284-47.69947 7.78571 (284*2π)/8993 weeks
28541.63364 -16.23001 (285*2π)/8993 weeks
286-48.01113 -36.31849 (286*2π)/8993 weeks
28725.10437 26.50586 (287*2π)/8993 weeks
288-10.27772 -74.59831 (288*2π)/8993 weeks
289-39.95281 42.10263 (289*2π)/8993 weeks
29062.87909 -44.55856 (290*2π)/8993 weeks
291-85.53951 -38.58722 (291*2π)/8993 weeks
29241.80982 56.88782 (292*2π)/8993 weeks
2933.61879 -106.4604 (293*2π)/8993 weeks
294-77.3211 45.65151 (294*2π)/8993 weeks
29583.95307 -14.45192 (295*2π)/8993 weeks
296-72.65108 -77.3145 (296*2π)/8993 weeks
297-4.64493 67.95416 (297*2π)/8993 weeks
29841.69989 -73.16962 (298*2π)/8993 weeks
299-77.20432 -11.63297 (299*2π)/8993 weeks
30032.56852 24.52759 (300*2π)/8993 weeks
301-7.77125 -63.28683 (301*2π)/8993 weeks
302-41.69884 5.8573 (302*2π)/8993 weeks
30316.41398 -2.32018 (303*2π)/8993 weeks
304-9.57583 -41.53452 (304*2π)/8993 weeks
305-37.7506 -5.62096 (305*2π)/8993 weeks
30613.96103 6.58118 (306*2π)/8993 weeks
307-9.70857 -54.2485 (307*2π)/8993 weeks
308-47.41594 13.29779 (308*2π)/8993 weeks
30936.30441 -8.0514 (309*2π)/8993 weeks
310-44.9412 -54.62174 (310*2π)/8993 weeks
311-16.14789 37.55696 (311*2π)/8993 weeks
31221.39611 -50.19678 (312*2π)/8993 weeks
313-59.85934 -7.40414 (313*2π)/8993 weeks
31423.69816 5.67996 (314*2π)/8993 weeks
315-33.85426 -45.57135 (315*2π)/8993 weeks
316-11.16129 21.36474 (316*2π)/8993 weeks
317-4.01855 -46.61575 (317*2π)/8993 weeks
318-41.65512 17.03695 (318*2π)/8993 weeks
31930.34748 -28.25074 (319*2π)/8993 weeks
320-71.69779 -26.67467 (320*2π)/8993 weeks
32127.84552 40.89994 (321*2π)/8993 weeks
322-17.18951 -90.35447 (322*2π)/8993 weeks
323-70.77399 56.72725 (323*2π)/8993 weeks
32477.03342 -29.03984 (324*2π)/8993 weeks
325-103.1898 -61.95382 (325*2π)/8993 weeks
32615.2627 88.10063 (326*2π)/8993 weeks
32725.83476 -106.1366 (327*2π)/8993 weeks
328-111.6547 31.30524 (328*2π)/8993 weeks
32976.84143 22.20761 (329*2π)/8993 weeks
330-61.74274 -91.674 (330*2π)/8993 weeks
331-39.04719 73.05251 (331*2π)/8993 weeks
33245.99945 -48.87109 (332*2π)/8993 weeks
333-80.39648 -21.70295 (333*2π)/8993 weeks
33410.78227 34.66566 (334*2π)/8993 weeks
335-9.8875 -46.23492 (335*2π)/8993 weeks
336-41.44961 5.26084 (336*2π)/8993 weeks
337-4.83037 -.01593 (337*2π)/8993 weeks
338-14.13697 -14.55471 (338*2π)/8993 weeks
339-28.65963 -14.2079 (339*2π)/8993 weeks
340-20.67996 13.10586 (340*2π)/8993 weeks
3412.37844 -20.75593 (341*2π)/8993 weeks
342-47.97655 -11.06284 (342*2π)/8993 weeks
343.12817 20.01727 (343*2π)/8993 weeks
344-16.18249 -36.20454 (344*2π)/8993 weeks
345-38.57739 15.71277 (345*2π)/8993 weeks
3464.63369 -8.55379 (346*2π)/8993 weeks
347-36.16933 -9.66138 (347*2π)/8993 weeks
348-6.45385 3.20743 (348*2π)/8993 weeks
349-33.24839 -11.94733 (349*2π)/8993 weeks
350-2.38828 16.43561 (350*2π)/8993 weeks
351-24.30498 -39.34646 (351*2π)/8993 weeks
352-42.1974 41.06049 (352*2π)/8993 weeks
35338.35274 -25.61697 (353*2π)/8993 weeks
354-88.55161 -24.49722 (354*2π)/8993 weeks
35524.47707 70.98153 (355*2π)/8993 weeks
356-1.06554 -92.82275 (356*2π)/8993 weeks
357-98.49339 60.24865 (357*2π)/8993 weeks
35886.93418 8.22713 (358*2π)/8993 weeks
359-92.55779 -79.21858 (359*2π)/8993 weeks
360-15.97433 108.8952 (360*2π)/8992 weeks
36151.66263 -80.0054 (361*2π)/8992 weeks
362-119.0113 13.33842 (362*2π)/8992 weeks
36360.1452 55.34176 (363*2π)/8992 weeks
364-37.83036 -82.34763 (364*2π)/8992 weeks
365-52.79309 68.80094 (365*2π)/8992 weeks
36642.21049 -21.70455 (366*2π)/8992 weeks
367-66.531 -13.65341 (367*2π)/8992 weeks
3685.29782 34.94823 (368*2π)/8992 weeks
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895-12.30036 -11.15874 (895*2π)/8991 weeks
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89788.41417 -98.5703 (897*2π)/8991 weeks