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# Fourier Analysis of ARM (ARM Holdings plc)

ARM (ARM Holdings plc) appears to have interesting cyclic behaviour every 90 weeks (1474.786*sine), 82 weeks (1443.418*sine), and 69 weeks (404.4981*cosine).

ARM (ARM Holdings plc) has an average price of 3,467.08 (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 1/6/2000 to 4/17/2017 for ARM (ARM Holdings plc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
03,467.084   0
16,219.772 -2,524.594 (1*2π)/903903 weeks
24,403.633 -4,231.287 (2*2π)/903452 weeks
32,196.741 -4,697.325 (3*2π)/903301 weeks
4371.7324 -4,034.257 (4*2π)/903226 weeks
5-579.4486 -2,778.989 (5*2π)/903181 weeks
6-624.016 -1,595.268 (6*2π)/903151 weeks
7-131.1779 -940.95 (7*2π)/903129 weeks
8383.1139 -899.0937 (8*2π)/903113 weeks
9549.3456 -1,206.665 (9*2π)/903100 weeks
10314.2694 -1,474.786 (10*2π)/90390 weeks
11-104.3664 -1,443.418 (11*2π)/90382 weeks
12-403.3478 -1,108.571 (12*2π)/90375 weeks
13-404.4981 -673.1446 (13*2π)/90369 weeks
14-148.1915 -390.2547 (14*2π)/90365 weeks
15168.6165 -386.6876 (15*2π)/90360 weeks
16334.6519 -594.6031 (16*2π)/90356 weeks
17258.6107 -822.6527 (17*2π)/90353 weeks
1825.42197 -898.8899 (18*2π)/90350 weeks
19-184.6743 -776.0781 (19*2π)/90348 weeks
20-234.7258 -547.4741 (20*2π)/90345 weeks
21-118.6456 -373.8524 (21*2π)/90343 weeks
2258.57612 -362.3305 (22*2π)/90341 weeks
23156.7258 -491.8979 (23*2π)/90339 weeks
2497.58879 -644.1362 (24*2π)/90338 weeks
25-78.15551 -694.1148 (25*2π)/90336 weeks
26-245.6799 -592.887 (26*2π)/90335 weeks
27-292.0086 -401.2997 (27*2π)/90333 weeks
28-194.8122 -244.2872 (28*2π)/90332 weeks
29-31.27341 -216.2172 (29*2π)/90331 weeks
3075.71132 -318.2866 (30*2π)/90330 weeks
3147.90899 -462.8684 (31*2π)/90329 weeks
32-94.62851 -532.2476 (32*2π)/90328 weeks
33-255.4167 -461.1425 (33*2π)/90327 weeks
34-326.6693 -285.6206 (34*2π)/90327 weeks
35-257.1587 -112.7859 (35*2π)/90326 weeks
36-92.34564 -40.83653 (36*2π)/90325 weeks
3757.33325 -97.47993 (37*2π)/90324 weeks
38102.4574 -231.6944 (38*2π)/90324 weeks
3932.34491 -341.757 (39*2π)/90323 weeks
40-90.24957 -347.1812 (40*2π)/90323 weeks
41-172.6728 -249.009 (41*2π)/90322 weeks
42-150.1783 -122.4876 (42*2π)/90322 weeks
43-36.12367 -56.4068 (43*2π)/90321 weeks
4490.00624 -96.28014 (44*2π)/90321 weeks
45143.4952 -215.841 (45*2π)/90320 weeks
4691.7384 -334.6194 (46*2π)/90320 weeks
47-29.28571 -376.1958 (47*2π)/90319 weeks
48-138.7015 -320.5519 (48*2π)/90319 weeks
49-169.9631 -209.7841 (49*2π)/90318 weeks
50-115.581 -118.8019 (50*2π)/90318 weeks
51-24.85105 -107.0121 (51*2π)/90318 weeks
5234.77409 -169.8293 (52*2π)/90317 weeks
5319.55019 -248.8402 (53*2π)/90317 weeks
54-60.57637 -281.593 (54*2π)/90317 weeks
55-143.3497 -242.7068 (55*2π)/90316 weeks
56-168.4194 -152.9493 (56*2π)/90316 weeks
57-122.7249 -68.72175 (57*2π)/90316 weeks
58-39.60663 -44.8958 (58*2π)/90316 weeks
5928.3107 -88.9784 (59*2π)/90315 weeks
6038.86805 -158.46 (60*2π)/90315 weeks
61-7.61495 -200.0182 (61*2π)/90315 weeks
62-65.99375 -184.61 (62*2π)/90315 weeks
63-84.60233 -125.7147 (63*2π)/90314 weeks
64-45.24093 -71.89799 (64*2π)/90314 weeks
6528.35129 -68.28435 (65*2π)/90314 weeks
6685.8311 -124.05 (66*2π)/90314 weeks
6784.80291 -209.307 (67*2π)/90313 weeks
6823.54123 -274.9641 (68*2π)/90313 weeks
69-61.17983 -280.6424 (69*2π)/90313 weeks
70-123.8208 -228.5399 (70*2π)/90313 weeks
71-135.688 -160.9883 (71*2π)/90313 weeks
72-101.326 -122.4576 (72*2π)/90313 weeks
73-62.15582 -126.8231 (73*2π)/90312 weeks
74-60.19635 -158.1815 (74*2π)/90312 weeks
75-100.6423 -180.2884 (75*2π)/90312 weeks
76-153.6086 -157.0974 (76*2π)/90312 weeks
77-180.7899 -87.43233 (77*2π)/90312 weeks
78-156.1408 -9.04174 (78*2π)/90312 weeks
79-84.43015 33.45999 (79*2π)/90311 weeks
80-6.16213 19.20348 (80*2π)/90311 weeks
8134.18934 -36.13213 (81*2π)/90311 weeks
8222.69036 -92.08636 (82*2π)/90311 weeks
83-20.73852 -110.05 (83*2π)/90311 weeks
84-55.5181 -83.09458 (84*2π)/90311 weeks
85-48.1392 -35.89142 (85*2π)/90311 weeks
862.35255 -5.56702 (86*2π)/90311 weeks
8763.04131 -23.25364 (87*2π)/90310 weeks
8896.14143 -86.15533 (88*2π)/90310 weeks
8981.07188 -155.5856 (89*2π)/90310 weeks
9024.92913 -190.4394 (90*2π)/90310 weeks
91-37.4144 -178.8513 (91*2π)/90310 weeks
92-64.52786 -136.3198 (92*2π)/90310 weeks
93-47.03885 -93.68568 (93*2π)/90310 weeks
94-8.99301 -83.65855 (94*2π)/90310 weeks
9516.52824 -115.0431 (95*2π)/90310 weeks
966.21887 -160.9188 (96*2π)/9039 weeks
97-40.30649 -183.335 (97*2π)/9039 weeks
98-94.58331 -164.0744 (98*2π)/9039 weeks
99-120.1134 -112.1089 (99*2π)/9039 weeks
100-102.3747 -58.45547 (100*2π)/9039 weeks
101-55.68602 -35.95214 (101*2π)/9039 weeks
102-11.51124 -53.56796 (102*2π)/9039 weeks
103-.43088 -93.79189 (103*2π)/9039 weeks
104-27.65641 -126.8645 (104*2π)/9039 weeks
105-69.53099 -128.1212 (105*2π)/9039 weeks
106-95.62592 -92.26539 (106*2π)/9039 weeks
107-89.4472 -46.32839 (107*2π)/9038 weeks
108-53.38306 -24.39186 (108*2π)/9038 weeks
109-11.01108 -36.29459 (109*2π)/9038 weeks
1106.09135 -69.08541 (110*2π)/9038 weeks
111-12.10102 -101.8777 (111*2π)/9038 weeks
112-47.24821 -111.4853 (112*2π)/9038 weeks
113-72.67751 -89.01756 (113*2π)/9038 weeks
114-72.64278 -53.17068 (114*2π)/9038 weeks
115-47.00285 -33.0387 (115*2π)/9038 weeks
116-14.96379 -41.80044 (116*2π)/9038 weeks
117-3.27256 -71.07542 (117*2π)/9038 weeks
118-20.82009 -98.26395 (118*2π)/9038 weeks
119-54.8812 -101.7118 (119*2π)/9038 weeks
120-83.03352 -76.87132 (120*2π)/9038 weeks
121-84.39266 -40.0376 (121*2π)/9037 weeks
122-56.38273 -13.15905 (122*2π)/9037 weeks
123-19.95144 -11.8225 (123*2π)/9037 weeks
124-.5881 -37.76979 (124*2π)/9037 weeks
125-7.05067 -69.35525 (125*2π)/9037 weeks
126-32.56691 -78.29786 (126*2π)/9037 weeks
127-59.13572 -59.23678 (127*2π)/9037 weeks
128-63.13291 -28.5748 (128*2π)/9037 weeks
129-37.47914 -5.11821 (129*2π)/9037 weeks
130-1.0423 -2.9935 (130*2π)/9037 weeks
13122.19191 -27.35685 (131*2π)/9037 weeks
13220.03284 -61.18011 (132*2π)/9037 weeks
133-2.45603 -77.95654 (133*2π)/9037 weeks
134-27.23805 -68.36961 (134*2π)/9037 weeks
135-32.93696 -44.04124 (135*2π)/9037 weeks
136-13.81897 -25.7894 (136*2π)/9037 weeks
13715.15497 -31.21659 (137*2π)/9037 weeks
13833.14607 -60.89996 (138*2π)/9037 weeks
13924.01544 -96.23111 (139*2π)/9036 weeks
140-12.65736 -114.8122 (140*2π)/9036 weeks
141-54.20405 -104.535 (141*2π)/9036 weeks
142-72.86607 -67.79307 (142*2π)/9036 weeks
143-61.10613 -25.83216 (143*2π)/9036 weeks
144-28.28827 -7.52878 (144*2π)/9036 weeks
1457.68067 -21.99442 (145*2π)/9036 weeks
14624.21185 -53.56005 (146*2π)/9036 weeks
14710.216 -81.28448 (147*2π)/9036 weeks
148-19.88606 -91.62405 (148*2π)/9036 weeks
149-41.90297 -79.01158 (149*2π)/9036 weeks
150-44.56622 -54.71778 (150*2π)/9036 weeks
151-31.62886 -41.2621 (151*2π)/9036 weeks
152-16.77345 -48.10963 (152*2π)/9036 weeks
153-16.51333 -65.04855 (153*2π)/9036 weeks
154-34.78387 -74.42314 (154*2π)/9036 weeks
155-58.08734 -63.47606 (155*2π)/9036 weeks
156-68.82691 -32.58675 (156*2π)/9036 weeks
157-55.93178 .10388 (157*2π)/9036 weeks
158-21.14225 15.167 (158*2π)/9036 weeks
15916.86466 5.93269 (159*2π)/9036 weeks
16034.54903 -23.05119 (160*2π)/9036 weeks
16127.06309 -55.53894 (161*2π)/9036 weeks
1627.70765 -69.27435 (162*2π)/9036 weeks
163-8.8118 -59.03158 (163*2π)/9036 weeks
164-10.47974 -42.3953 (164*2π)/9036 weeks
1656.77987 -38.96022 (165*2π)/9035 weeks
16626.89268 -54.55024 (166*2π)/9035 weeks
16726.08862 -84.11369 (167*2π)/9035 weeks
168-2.11697 -111.3399 (168*2π)/9035 weeks
169-44.14883 -113.5069 (169*2π)/9035 weeks
170-78.27525 -82.32012 (170*2π)/9035 weeks
171-83.89445 -34.68692 (171*2π)/9035 weeks
172-56.59701 3.03492 (172*2π)/9035 weeks
173-14.10704 11.87023 (173*2π)/9035 weeks
17418.51548 -10.87638 (174*2π)/9035 weeks
17525.44438 -45.67338 (175*2π)/9035 weeks
1764.6532 -67.69867 (176*2π)/9035 weeks
177-25.41736 -63.87589 (177*2π)/9035 weeks
178-36.37434 -39.12914 (178*2π)/9035 weeks
179-17.97498 -10.80962 (179*2π)/9035 weeks
18015.81994 -3.56516 (180*2π)/9035 weeks
18144.4242 -29.19007 (181*2π)/9035 weeks
18251.58729 -71.18996 (182*2π)/9035 weeks
18328.71689 -103.7465 (183*2π)/9035 weeks
184-13.40647 -111.6773 (184*2π)/9035 weeks
185-46.09996 -93.39487 (185*2π)/9035 weeks
186-52.25803 -59.83403 (186*2π)/9035 weeks
187-35.45557 -33.84927 (187*2π)/9035 weeks
188-11.07786 -32.1228 (188*2π)/9035 weeks
1892.88705 -49.21437 (189*2π)/9035 weeks
190-3.16711 -68.67347 (190*2π)/9035 weeks
191-22.34875 -74.80822 (191*2π)/9035 weeks
192-38.15447 -61.87962 (192*2π)/9035 weeks
193-39.32664 -39.42741 (193*2π)/9035 weeks
194-22.47554 -26.14356 (194*2π)/9035 weeks
1951.93288 -31.13496 (195*2π)/9035 weeks
19612.62072 -50.09017 (196*2π)/9035 weeks
197.01428 -72.02379 (197*2π)/9035 weeks
198-24.65175 -80.23086 (198*2π)/9035 weeks
199-43.90221 -63.63134 (199*2π)/9035 weeks
200-47.27981 -33.29969 (200*2π)/9035 weeks
201-29.31659 -11.86526 (201*2π)/9034 weeks
2022.95806 -11.26282 (202*2π)/9034 weeks
20327.22293 -29.40452 (203*2π)/9034 weeks
20428.15247 -57.33554 (204*2π)/9034 weeks
20510.41936 -77.94009 (205*2π)/9034 weeks
206-10.77851 -77.93164 (206*2π)/9034 weeks
207-20.76794 -62.74145 (207*2π)/9034 weeks
208-13.42011 -48.66846 (208*2π)/9034 weeks
2094.10377 -47.921 (209*2π)/9034 weeks
21015.84322 -64.61254 (210*2π)/9034 weeks
21111.52037 -89.39531 (211*2π)/9034 weeks
212-10.03465 -104.0104 (212*2π)/9034 weeks
213-39.66263 -98.52518 (213*2π)/9034 weeks
214-58.10529 -78.45018 (214*2π)/9034 weeks
215-53.53961 -54.45933 (215*2π)/9034 weeks
216-34.72663 -39.50784 (216*2π)/9034 weeks
217-19.45102 -44.651 (217*2π)/9034 weeks
218-15.66388 -62.73902 (218*2π)/9034 weeks
219-25.92236 -73.95367 (219*2π)/9034 weeks
220-45.84662 -68.12361 (220*2π)/9034 weeks
221-58.63048 -49.00313 (221*2π)/9034 weeks
222-49.97885 -26.60152 (222*2π)/9034 weeks
223-25.37889 -14.32929 (223*2π)/9034 weeks
224-1.58114 -22.08165 (224*2π)/9034 weeks
2258.88824 -43.73379 (225*2π)/9034 weeks
2261.93372 -63.36503 (226*2π)/9034 weeks
227-15.07901 -69.75317 (227*2π)/9034 weeks
228-27.16816 -61.19974 (228*2π)/9034 weeks
229-25.79215 -45.71984 (229*2π)/9034 weeks
230-12.17656 -39.65674 (230*2π)/9034 weeks
2315.38331 -51.96809 (231*2π)/9034 weeks
23210.8424 -74.59576 (232*2π)/9034 weeks
233-6.20889 -93.8559 (233*2π)/9034 weeks
234-35.7559 -99.76232 (234*2π)/9034 weeks
235-58.00546 -85.36203 (235*2π)/9034 weeks
236-63.59438 -55.84062 (236*2π)/9034 weeks
237-51.96292 -31.88393 (237*2π)/9034 weeks
238-27.32677 -28.14505 (238*2π)/9034 weeks
239-5.29533 -41.73447 (239*2π)/9034 weeks
240-1.89772 -62.35567 (240*2π)/9034 weeks
241-15.93994 -78.02125 (241*2π)/9034 weeks
242-32.78225 -79.33656 (242*2π)/9034 weeks
243-41.80235 -68.46172 (243*2π)/9034 weeks
244-38.85215 -58.02293 (244*2π)/9034 weeks
245-29.10185 -57.55205 (245*2π)/9034 weeks
246-24.7336 -67.84344 (246*2π)/9034 weeks
247-32.82303 -82.11816 (247*2π)/9034 weeks
248-50.0493 -86.82502 (248*2π)/9034 weeks
249-68.61681 -73.58067 (249*2π)/9034 weeks
250-76.9656 -50.55856 (250*2π)/9034 weeks
251-65.52991 -32.19693 (251*2π)/9034 weeks
252-42.58927 -26.05641 (252*2π)/9034 weeks
253-27.23072 -34.60306 (253*2π)/9034 weeks
254-26.65619 -54.01291 (254*2π)/9034 weeks
255-37.53198 -68.30121 (255*2π)/9034 weeks
256-53.39856 -64.43159 (256*2π)/9034 weeks
257-64.18899 -48.57352 (257*2π)/9034 weeks
258-59.65691 -33.92696 (258*2π)/9034 weeks
259-43.49903 -28.75229 (259*2π)/9033 weeks
260-31.19237 -36.62103 (260*2π)/9033 weeks
261-32.29687 -52.36039 (261*2π)/9033 weeks
262-46.32124 -61.35418 (262*2π)/9033 weeks
263-63.73203 -55.53677 (263*2π)/9033 weeks
264-71.98699 -37.60617 (264*2π)/9033 weeks
265-64.02751 -16.04621 (265*2π)/9033 weeks
266-44.97899 -4.61986 (266*2π)/9033 weeks
267-25.61045 -12.23277 (267*2π)/9033 weeks
268-15.29259 -30.88901 (268*2π)/9033 weeks
269-21.62025 -44.24018 (269*2π)/9033 weeks
270-37.63021 -45.46133 (270*2π)/9033 weeks
271-44.60735 -36.19627 (271*2π)/9033 weeks
272-33.72536 -22.32194 (272*2π)/9033 weeks
273-14.23602 -18.30054 (273*2π)/9033 weeks
2742.10375 -35.81036 (274*2π)/9033 weeks
2754.97774 -66.65375 (275*2π)/9033 weeks
276-14.25842 -91.26926 (276*2π)/9033 weeks
277-48.82696 -96.0827 (277*2π)/9033 weeks
278-77.2007 -78.7371 (278*2π)/9033 weeks
279-83.85803 -48.8415 (279*2π)/9033 weeks
280-69.63328 -24.85303 (280*2π)/9033 weeks
281-45.96955 -20.27896 (281*2π)/9033 weeks
282-30.16932 -33.60188 (282*2π)/9033 weeks
283-34.01113 -54.24161 (283*2π)/9033 weeks
284-53.50454 -65.65755 (284*2π)/9033 weeks
285-74.04272 -54.49897 (285*2π)/9033 weeks
286-82.02904 -27.21702 (286*2π)/9033 weeks
287-69.09451 -4.07881 (287*2π)/9033 weeks
288-38.97835 1.99326 (288*2π)/9033 weeks
289-12.78077 -10.45325 (289*2π)/9033 weeks
290-7.83925 -36.36817 (290*2π)/9033 weeks
291-21.62006 -61.21056 (291*2π)/9033 weeks
292-42.67924 -67.06657 (292*2π)/9033 weeks
293-60.17899 -52.82275 (293*2π)/9033 weeks
294-61.97236 -33.86063 (294*2π)/9033 weeks
295-46.4367 -24.96911 (295*2π)/9033 weeks
296-29.06899 -31.15144 (296*2π)/9033 weeks
297-24.82097 -48.70842 (297*2π)/9033 weeks
298-35.95195 -65.48256 (298*2π)/9033 weeks
299-56.16759 -69.78817 (299*2π)/9033 weeks
300-73.2284 -60.3083 (300*2π)/9033 weeks
301-76.39915 -44.20097 (301*2π)/9033 weeks
302-67.8364 -31.92695 (302*2π)/9033 weeks
303-59.28503 -33.424 (303*2π)/9033 weeks
304-58.5222 -45.77308 (304*2π)/9033 weeks
305-69.69859 -52.39461 (305*2π)/9033 weeks
306-89.89353 -42.86048 (306*2π)/9033 weeks
307-102.4477 -21.82362 (307*2π)/9033 weeks
308-93.53713 2.98836 (308*2π)/9033 weeks
309-67.71465 20.58789 (309*2π)/9033 weeks
310-40.82452 17.68764 (310*2π)/9033 weeks
311-24.87585 -5.60221 (311*2π)/9033 weeks
312-27.70136 -30.4619 (312*2π)/9033 weeks
313-47.92371 -40.10898 (313*2π)/9033 weeks
314-69.03782 -30.67221 (314*2π)/9033 weeks
315-72.96949 -9.80746 (315*2π)/9033 weeks
316-57.43543 7.50799 (316*2π)/9033 weeks
317-32.60009 6.72665 (317*2π)/9033 weeks
318-14.69735 -12.78038 (318*2π)/9033 weeks
319-17.60513 -39.47194 (319*2π)/9033 weeks
320-40.91149 -58.96724 (320*2π)/9033 weeks
321-69.32792 -56.89278 (321*2π)/9033 weeks
322-87.26304 -32.71577 (322*2π)/9033 weeks
323-86.71619 -5.60722 (323*2π)/9033 weeks
324-68.40617 6.64273 (324*2π)/9033 weeks
325-46.40786 3.32606 (325*2π)/9033 weeks
326-39.57316 -9.38572 (326*2π)/9033 weeks
327-50.62918 -22.7114 (327*2π)/9033 weeks
328-66.99779 -22.41738 (328*2π)/9033 weeks
329-75.97184 -2.732 (329*2π)/9033 weeks
330-69.4723 21.92014 (330*2π)/9033 weeks
331-45.70844 33.33405 (331*2π)/9033 weeks
332-16.72522 25.70021 (332*2π)/9033 weeks
333.17377 2.90725 (333*2π)/9033 weeks
334-2.50045 -23.60419 (334*2π)/9033 weeks
335-19.51131 -39.66892 (335*2π)/9033 weeks
336-40.24731 -39.65254 (336*2π)/9033 weeks
337-50.94611 -28.77212 (337*2π)/9033 weeks
338-46.70016 -16.44928 (338*2π)/9033 weeks
339-36.93486 -14.0862 (339*2π)/9033 weeks
340-32.82453 -26.06989 (340*2π)/9033 weeks
341-38.33974 -39.95487 (341*2π)/9033 weeks
342-54.09336 -41.20829 (342*2π)/9033 weeks
343-71.8792 -28.96179 (343*2π)/9033 weeks
344-76.71804 -11.29684 (344*2π)/9033 weeks
345-63.59489 5.86837 (345*2π)/9033 weeks
346-44.30282 12.02237 (346*2π)/9033 weeks
347-31.25367 .9376 (347*2π)/9033 weeks
348-28.66799 -17.30303 (348*2π)/9033 weeks
349-38.18549 -26.91634 (349*2π)/9033 weeks
350-51.98826 -23.24331 (350*2π)/9033 weeks
351-57.31767 -11.53255 (351*2π)/9033 weeks
352-49.84544 -.72734 (352*2π)/9033 weeks
353-36.13775 .03844 (353*2π)/9033 weeks
354-24.71875 -11.6606 (354*2π)/9033 weeks
355-25.36135 -28.39124 (355*2π)/9033 weeks
356-40.35376 -40.69319 (356*2π)/9033 weeks
357-58.55099 -41.52296 (357*2π)/9033 weeks
358-68.88176 -28.36713 (358*2π)/9033 weeks
359-69.06615 -10.96961 (359*2π)/9033 weeks
360-61.22405 -4.4993 (360*2π)/9033 weeks
361-50.45111 -10.66402 (361*2π)/9033 weeks
362-48.99028 -19.6278 (362*2π)/9032 weeks
363-61.86042 -25.51004 (363*2π)/9032 weeks
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74416.86466 -5.93269 (744*2π)/9031 weeks
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