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# Fourier Analysis of FRP (FairPoint Communications, Inc.)

FRP (FairPoint Communications, Inc.) appears to have interesting cyclic behaviour every 32 weeks (.4393*cosine), 29 weeks (.3819*cosine), and 17 weeks (.2674*cosine).

FRP (FairPoint Communications, Inc.) has an average price of 12.26 (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 1/25/2011 to 3/13/2017 for FRP (FairPoint Communications, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
012.25533   0
1.55519 -5.70341 (1*2π)/321321 weeks
21.65017 -.41891 (2*2π)/321161 weeks
32.25801 -.30032 (3*2π)/321107 weeks
41.81715 .16706 (4*2π)/32180 weeks
5.41763 -.08371 (5*2π)/32164 weeks
6.70179 .41767 (6*2π)/32154 weeks
7.651 -.02255 (7*2π)/32146 weeks
8.09926 .19495 (8*2π)/32140 weeks
9.12447 .51682 (9*2π)/32136 weeks
10.43927 .13398 (10*2π)/32132 weeks
11-.38188 -.00604 (11*2π)/32129 weeks
12-.01332 .24903 (12*2π)/32127 weeks
13-.1412 .27156 (13*2π)/32125 weeks
14-.00125 .15465 (14*2π)/32123 weeks
15-.05175 .19001 (15*2π)/32121 weeks
16-.04504 .24686 (16*2π)/32120 weeks
17-.04769 .36898 (17*2π)/32119 weeks
18.23485 .11816 (18*2π)/32118 weeks
19.26738 .23544 (19*2π)/32117 weeks
20-.11126 -.00728 (20*2π)/32116 weeks
21-.03621 .08512 (21*2π)/32115 weeks
22.05213 .16137 (22*2π)/32115 weeks
23.03157 .25643 (23*2π)/32114 weeks
24.16674 .13348 (24*2π)/32113 weeks
25.13087 .23086 (25*2π)/32113 weeks
26.08386 .21075 (26*2π)/32112 weeks
27.11605 .10374 (27*2π)/32112 weeks
28.04888 .24034 (28*2π)/32111 weeks
29.15392 .03422 (29*2π)/32111 weeks
30-.11086 .17366 (30*2π)/32111 weeks
31.03784 .18507 (31*2π)/32110 weeks
32-.10738 .06257 (32*2π)/32110 weeks
33-.12163 .10292 (33*2π)/32110 weeks
34-.08728 .2091 (34*2π)/3219 weeks
35-.04319 .21634 (35*2π)/3219 weeks
36-.1025 .05005 (36*2π)/3219 weeks
37-.08265 .06502 (37*2π)/3219 weeks
38.02231 .08001 (38*2π)/3218 weeks
39-.09649 -.08041 (39*2π)/3218 weeks
40-.09636 .06306 (40*2π)/3218 weeks
41.07777 .09745 (41*2π)/3218 weeks
42.10331 -.02663 (42*2π)/3218 weeks
43.02579 -.01108 (43*2π)/3217 weeks
44.10477 .07357 (44*2π)/3217 weeks
45-.0018 -.00529 (45*2π)/3217 weeks
46.03668 .04753 (46*2π)/3217 weeks
47.0957 -.00345 (47*2π)/3217 weeks
48.11766 -.01789 (48*2π)/3217 weeks
49.03627 .00282 (49*2π)/3217 weeks
50.07453 .0167 (50*2π)/3216 weeks
51.053 .05012 (51*2π)/3216 weeks
52.08741 .04297 (52*2π)/3216 weeks
53.02368 .13403 (53*2π)/3216 weeks
54.06107 .08234 (54*2π)/3216 weeks
55-.03642 .01261 (55*2π)/3216 weeks
56.06886 -.01139 (56*2π)/3216 weeks
57-.00502 -.03643 (57*2π)/3216 weeks
58-.02252 .01743 (58*2π)/3216 weeks
59.00818 -.03392 (59*2π)/3215 weeks
60.01752 -.02548 (60*2π)/3215 weeks
61.04075 .03372 (61*2π)/3215 weeks
62.03536 -.04033 (62*2π)/3215 weeks
63-.01791 .06028 (63*2π)/3215 weeks
64.11678 .03839 (64*2π)/3215 weeks
65.19527 .01087 (65*2π)/3215 weeks
66.09824 -.03171 (66*2π)/3215 weeks
67.01527 -.04312 (67*2π)/3215 weeks
68.04648 .0343 (68*2π)/3215 weeks
69.08216 .03877 (69*2π)/3215 weeks
70.02398 .04856 (70*2π)/3215 weeks
71.03007 .06914 (71*2π)/3215 weeks
72.02794 -.00272 (72*2π)/3214 weeks
73-.04991 .04424 (73*2π)/3214 weeks
74.0207 .01331 (74*2π)/3214 weeks
75-.00805 -.01266 (75*2π)/3214 weeks
76.02276 .03136 (76*2π)/3214 weeks
77.06672 -.0364 (77*2π)/3214 weeks
78-.02551 -.00132 (78*2π)/3214 weeks
79-.00457 .01887 (79*2π)/3214 weeks
80.00958 .00524 (80*2π)/3214 weeks
81-.03516 .01072 (81*2π)/3214 weeks
82-.02944 -.03388 (82*2π)/3214 weeks
83-.05276 -.01514 (83*2π)/3214 weeks
84.01511 .04491 (84*2π)/3214 weeks
85.01646 -.06278 (85*2π)/3214 weeks
86.01274 -.04969 (86*2π)/3214 weeks
87.08182 .04084 (87*2π)/3214 weeks
88.06494 -.03835 (88*2π)/3214 weeks
89.04163 .00691 (89*2π)/3214 weeks
90-.01748 .01255 (90*2π)/3214 weeks
91.03811 .00374 (91*2π)/3214 weeks
92.04627 -.0022 (92*2π)/3213 weeks
93.00788 .02481 (93*2π)/3213 weeks
94.03309 -.00652 (94*2π)/3213 weeks
95.04706 .00171 (95*2π)/3213 weeks
96-.04376 -.01262 (96*2π)/3213 weeks
97.00869 .04332 (97*2π)/3213 weeks
98.0164 -.02451 (98*2π)/3213 weeks
99-.00204 -.03144 (99*2π)/3213 weeks
100.00598 -.04331 (100*2π)/3213 weeks
101.02635 -.02081 (101*2π)/3213 weeks
102.03209 -.00513 (102*2π)/3213 weeks
103.01595 -.04361 (103*2π)/3213 weeks
104.04943 -.0322 (104*2π)/3213 weeks
105.06877 .01611 (105*2π)/3213 weeks
106.07366 .02394 (106*2π)/3213 weeks
107.06925 .02326 (107*2π)/3213 weeks
108.04567 .0131 (108*2π)/3213 weeks
109.0653 .02363 (109*2π)/3213 weeks
110.02047 .05102 (110*2π)/3213 weeks
111.02443 .03538 (111*2π)/3213 weeks
112.0788 .01435 (112*2π)/3213 weeks
113.06115 -.01801 (113*2π)/3213 weeks
114.03576 -.00002 (114*2π)/3213 weeks
115.07732 .0494 (115*2π)/3213 weeks
116.02983 .04802 (116*2π)/3213 weeks
117.05246 .06529 (117*2π)/3213 weeks
118.04131 .03925 (118*2π)/3213 weeks
119-.01269 .02653 (119*2π)/3213 weeks
120.02713 .01847 (120*2π)/3213 weeks
121.05003 -.00056 (121*2π)/3213 weeks
122-.02536 -.03501 (122*2π)/3213 weeks
123.01079 -.02866 (123*2π)/3213 weeks
124.00788 .01761 (124*2π)/3213 weeks
125.0629 .04577 (125*2π)/3213 weeks
126.04954 -.01313 (126*2π)/3213 weeks
127.03854 .037 (127*2π)/3213 weeks
128.06431 .00697 (128*2π)/3213 weeks
129.02056 -.0041 (129*2π)/3212 weeks
130.03201 .04508 (130*2π)/3212 weeks
131.04165 .02943 (131*2π)/3212 weeks
132.06655 .03428 (132*2π)/3212 weeks
133.06579 -.01471 (133*2π)/3212 weeks
134.02291 .0173 (134*2π)/3212 weeks
135.03842 .0152 (135*2π)/3212 weeks
136.05161 -.02318 (136*2π)/3212 weeks
137.00302 .01692 (137*2π)/3212 weeks
138-.01005 .04371 (138*2π)/3212 weeks
139.03796 .00463 (139*2π)/3212 weeks
140-.02042 .01664 (140*2π)/3212 weeks
141-.00129 .01451 (141*2π)/3212 weeks
142-.01109 -.00328 (142*2π)/3212 weeks
143-.00929 -.00405 (143*2π)/3212 weeks
144.00023 -.01478 (144*2π)/3212 weeks
145.04133 -.02951 (145*2π)/3212 weeks
146.00483 .02926 (146*2π)/3212 weeks
147.05297 -.02693 (147*2π)/3212 weeks
148.04017 .03616 (148*2π)/3212 weeks
149.11223 .02298 (149*2π)/3212 weeks
150.02022 .00282 (150*2π)/3212 weeks
151.03755 .09081 (151*2π)/3212 weeks
152.03248 -.01901 (152*2π)/3212 weeks
153.03955 -.00506 (153*2π)/3212 weeks
154-.02396 -.0098 (154*2π)/3212 weeks
155-.02051 .02433 (155*2π)/3212 weeks
156.02143 -.00705 (156*2π)/3212 weeks
157-.03465 -.04202 (157*2π)/3212 weeks
158-.03928 -.00635 (158*2π)/3212 weeks
159.03466 .00295 (159*2π)/3212 weeks
160-.01443 -.01876 (160*2π)/3212 weeks
161-.01443 .01876 (161*2π)/3212 weeks
162.03466 -.00295 (162*2π)/3212 weeks
163-.03928 .00635 (163*2π)/3212 weeks
164-.03465 .04202 (164*2π)/3212 weeks
165.02143 .00705 (165*2π)/3212 weeks
166-.02051 -.02433 (166*2π)/3212 weeks
167-.02396 .0098 (167*2π)/3212 weeks
168.03955 .00506 (168*2π)/3212 weeks
169.03248 .01901 (169*2π)/3212 weeks
170.03755 -.09081 (170*2π)/3212 weeks
171.02022 -.00282 (171*2π)/3212 weeks
172.11223 -.02298 (172*2π)/3212 weeks
173.04017 -.03616 (173*2π)/3212 weeks
174.05297 .02693 (174*2π)/3212 weeks
175.00483 -.02926 (175*2π)/3212 weeks
176.04133 .02951 (176*2π)/3212 weeks
177.00023 .01478 (177*2π)/3212 weeks
178-.00929 .00405 (178*2π)/3212 weeks
179-.01109 .00328 (179*2π)/3212 weeks
180-.00129 -.01451 (180*2π)/3212 weeks
181-.02042 -.01664 (181*2π)/3212 weeks
182.03796 -.00463 (182*2π)/3212 weeks
183-.01005 -.04371 (183*2π)/3212 weeks
184.00302 -.01692 (184*2π)/3212 weeks
185.05161 .02318 (185*2π)/3212 weeks
186.03842 -.0152 (186*2π)/3212 weeks
187.02291 -.0173 (187*2π)/3212 weeks
188.06579 .01471 (188*2π)/3212 weeks
189.06655 -.03428 (189*2π)/3212 weeks
190.04165 -.02943 (190*2π)/3212 weeks
191.03201 -.04508 (191*2π)/3212 weeks
192.02056 .0041 (192*2π)/3212 weeks
193.06431 -.00697 (193*2π)/3212 weeks
194.03854 -.037 (194*2π)/3212 weeks
195.04954 .01313 (195*2π)/3212 weeks
196.0629 -.04577 (196*2π)/3212 weeks
197.00788 -.01761 (197*2π)/3212 weeks
198.01079 .02866 (198*2π)/3212 weeks
199-.02536 .03501 (199*2π)/3212 weeks
200.05003 .00056 (200*2π)/3212 weeks
201.02713 -.01847 (201*2π)/3212 weeks
202-.01269 -.02653 (202*2π)/3212 weeks
203.04131 -.03925 (203*2π)/3212 weeks
204.05246 -.06529 (204*2π)/3212 weeks
205.02983 -.04802 (205*2π)/3212 weeks
206.07732 -.0494 (206*2π)/3212 weeks
207.03576 .00002 (207*2π)/3212 weeks
208.06115 .01801 (208*2π)/3212 weeks
209.0788 -.01435 (209*2π)/3212 weeks
210.02443 -.03538 (210*2π)/3212 weeks
211.02047 -.05102 (211*2π)/3212 weeks
212.0653 -.02363 (212*2π)/3212 weeks
213.04567 -.0131 (213*2π)/3212 weeks
214.06925 -.02326 (214*2π)/3212 weeks
215.07366 -.02394 (215*2π)/3211 weeks
216.06877 -.01611 (216*2π)/3211 weeks
217.04943 .0322 (217*2π)/3211 weeks
218.01595 .04361 (218*2π)/3211 weeks
219.03209 .00513 (219*2π)/3211 weeks
220.02635 .02081 (220*2π)/3211 weeks
221.00598 .04331 (221*2π)/3211 weeks
222-.00204 .03144 (222*2π)/3211 weeks
223.0164 .02451 (223*2π)/3211 weeks
224.00869 -.04332 (224*2π)/3211 weeks
225-.04376 .01262 (225*2π)/3211 weeks
226.04706 -.00171 (226*2π)/3211 weeks
227.03309 .00652 (227*2π)/3211 weeks
228.00788 -.02481 (228*2π)/3211 weeks
229.04627 .0022 (229*2π)/3211 weeks
230.03811 -.00374 (230*2π)/3211 weeks
231-.01748 -.01255 (231*2π)/3211 weeks
232.04163 -.00691 (232*2π)/3211 weeks
233.06494 .03835 (233*2π)/3211 weeks
234.08182 -.04084 (234*2π)/3211 weeks
235.01274 .04969 (235*2π)/3211 weeks
236.01646 .06278 (236*2π)/3211 weeks
237.01511 -.04491 (237*2π)/3211 weeks
238-.05276 .01514 (238*2π)/3211 weeks
239-.02944 .03388 (239*2π)/3211 weeks
240-.03516 -.01072 (240*2π)/3211 weeks
241.00958 -.00524 (241*2π)/3211 weeks
242-.00457 -.01887 (242*2π)/3211 weeks
243-.02551 .00132 (243*2π)/3211 weeks
244.06672 .0364 (244*2π)/3211 weeks
245.02276 -.03136 (245*2π)/3211 weeks
246-.00805 .01266 (246*2π)/3211 weeks
247.0207 -.01331 (247*2π)/3211 weeks
248-.04991 -.04424 (248*2π)/3211 weeks
249.02794 .00272 (249*2π)/3211 weeks
250.03007 -.06914 (250*2π)/3211 weeks
251.02398 -.04856 (251*2π)/3211 weeks
252.08216 -.03877 (252*2π)/3211 weeks
253.04648 -.0343 (253*2π)/3211 weeks
254.01527 .04312 (254*2π)/3211 weeks
255.09824 .03171 (255*2π)/3211 weeks
256.19527 -.01087 (256*2π)/3211 weeks
257.11678 -.03839 (257*2π)/3211 weeks
258-.01791 -.06028 (258*2π)/3211 weeks
259.03536 .04033 (259*2π)/3211 weeks
260.04075 -.03372 (260*2π)/3211 weeks
261.01752 .02548 (261*2π)/3211 weeks
262.00818 .03392 (262*2π)/3211 weeks
263-.02252 -.01743 (263*2π)/3211 weeks
264-.00502 .03643 (264*2π)/3211 weeks
265.06886 .01139 (265*2π)/3211 weeks
266-.03642 -.01261 (266*2π)/3211 weeks
267.06107 -.08234 (267*2π)/3211 weeks
268.02368 -.13403 (268*2π)/3211 weeks
269.08741 -.04297 (269*2π)/3211 weeks
270.053 -.05012 (270*2π)/3211 weeks
271.07453 -.0167 (271*2π)/3211 weeks
272.03627 -.00282 (272*2π)/3211 weeks
273.11766 .01789 (273*2π)/3211 weeks
274.0957 .00345 (274*2π)/3211 weeks
275.03668 -.04753 (275*2π)/3211 weeks
276-.0018 .00529 (276*2π)/3211 weeks
277.10477 -.07357 (277*2π)/3211 weeks
278.02579 .01108 (278*2π)/3211 weeks
279.10331 .02663 (279*2π)/3211 weeks
280.07777 -.09745 (280*2π)/3211 weeks
281-.09636 -.06306 (281*2π)/3211 weeks
282-.09649 .08041 (282*2π)/3211 weeks
283.02231 -.08001 (283*2π)/3211 weeks
284-.08265 -.06502 (284*2π)/3211 weeks
285-.1025 -.05005 (285*2π)/3211 weeks
286-.04319 -.21634 (286*2π)/3211 weeks
287-.08728 -.2091 (287*2π)/3211 weeks
288-.12163 -.10292 (288*2π)/3211 weeks
289-.10738 -.06257 (289*2π)/3211 weeks
290.03784 -.18507 (290*2π)/3211 weeks
291-.11086 -.17366 (291*2π)/3211 weeks
292.15392 -.03422 (292*2π)/3211 weeks
293.04888 -.24034 (293*2π)/3211 weeks
294.11605 -.10374 (294*2π)/3211 weeks
295.08386 -.21075 (295*2π)/3211 weeks
296.13087 -.23086 (296*2π)/3211 weeks
297.16674 -.13348 (297*2π)/3211 weeks
298.03157 -.25643 (298*2π)/3211 weeks
299.05213 -.16137 (299*2π)/3211 weeks
300-.03621 -.08512 (300*2π)/3211 weeks
301-.11126 .00728 (301*2π)/3211 weeks
302.26738 -.23544 (302*2π)/3211 weeks
303.23485 -.11816 (303*2π)/3211 weeks
304-.04769 -.36898 (304*2π)/3211 weeks
305-.04504 -.24686 (305*2π)/3211 weeks
306-.05175 -.19001 (306*2π)/3211 weeks
307-.00125 -.15465 (307*2π)/3211 weeks
308-.1412 -.27156 (308*2π)/3211 weeks
309-.01332 -.24903 (309*2π)/3211 weeks
310-.38188 .00604 (310*2π)/3211 weeks
311.43927 -.13398 (311*2π)/3211 weeks
312.12447 -.51682 (312*2π)/3211 weeks
313.09926 -.19495 (313*2π)/3211 weeks
314.651 .02255 (314*2π)/3211 weeks
315.70179 -.41767 (315*2π)/3211 weeks
316.41763 .08371 (316*2π)/3211 weeks
3171.81715 -.16706 (317*2π)/3211 weeks
3182.25801 .30032 (318*2π)/3211 weeks
3191.65017 .41891 (319*2π)/3211 weeks