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# Fourier Analysis of INAP (InterNAP Network Services)

INAP (InterNAP Network Services) appears to have interesting cyclic behaviour every 95 weeks (97.5824*sine), 86 weeks (92.6182*sine), and 95 weeks (49.9276*cosine).

INAP (InterNAP Network Services) has an average price of 118.12 (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 1/3/2000 to 3/12/2018 for INAP (InterNAP Network Services), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0118.1246   0
1172.5914 30.67484 (1*2π)/950950 weeks
2160.6795 41.76863 (2*2π)/950475 weeks
3157.8358 70.14745 (3*2π)/950317 weeks
4139.3515 77.47858 (4*2π)/950238 weeks
5135.4498 96.14091 (5*2π)/950190 weeks
6102.4957 106.317 (6*2π)/950158 weeks
788.28091 95.46847 (7*2π)/950136 weeks
877.60979 97.3221 (8*2π)/950119 weeks
962.30746 97.24384 (9*2π)/950106 weeks
1049.92762 97.58235 (10*2π)/95095 weeks
1136.41715 92.61819 (11*2π)/95086 weeks
1228.10068 82.96149 (12*2π)/95079 weeks
1324.89834 75.12341 (13*2π)/95073 weeks
1420.26792 69.78636 (14*2π)/95068 weeks
1515.12953 64.06631 (15*2π)/95063 weeks
1614.07308 54.81129 (16*2π)/95059 weeks
1714.67975 50.47276 (17*2π)/95056 weeks
1817.85233 48.01188 (18*2π)/95053 weeks
1917.17604 45.14061 (19*2π)/95050 weeks
2016.64812 42.10421 (20*2π)/95048 weeks
2120.29982 40.1721 (21*2π)/95045 weeks
2220.84698 39.92897 (22*2π)/95043 weeks
2323.04326 39.4738 (23*2π)/95041 weeks
2422.31529 41.24285 (24*2π)/95040 weeks
2522.38911 40.01995 (25*2π)/95038 weeks
2623.82617 43.00158 (26*2π)/95037 weeks
2720.41586 44.9994 (27*2π)/95035 weeks
2818.57797 44.51751 (28*2π)/95034 weeks
2917.09932 46.00841 (29*2π)/95033 weeks
3015.01988 44.80745 (30*2π)/95032 weeks
3113.95208 44.0835 (31*2π)/95031 weeks
3213.32383 44.69751 (32*2π)/95030 weeks
3310.76489 44.59742 (33*2π)/95029 weeks
349.00761 43.23145 (34*2π)/95028 weeks
358.47519 43.18427 (35*2π)/95027 weeks
367.32171 42.92271 (36*2π)/95026 weeks
376.06572 43.60114 (37*2π)/95026 weeks
382.91761 44.6541 (38*2π)/95025 weeks
39-.17657 42.88237 (39*2π)/95024 weeks
40-1.19369 41.06212 (40*2π)/95024 weeks
41-3.7719 40.32176 (41*2π)/95023 weeks
42-5.97517 39.07738 (42*2π)/95023 weeks
43-7.85532 37.16346 (43*2π)/95022 weeks
44-9.93258 33.79084 (44*2π)/95022 weeks
45-10.28874 31.82001 (45*2π)/95021 weeks
46-10.17015 29.81607 (46*2π)/95021 weeks
47-10.61222 28.47946 (47*2π)/95020 weeks
48-11.26881 26.25635 (48*2π)/95020 weeks
49-10.50261 23.78474 (49*2π)/95019 weeks
50-10.44922 23.56298 (50*2π)/95019 weeks
51-10.65205 21.78579 (51*2π)/95019 weeks
52-11.02781 21.4352 (52*2π)/95018 weeks
53-11.53077 20.32669 (53*2π)/95018 weeks
54-10.81988 18.81219 (54*2π)/95018 weeks
55-11.74823 18.01912 (55*2π)/95017 weeks
56-12.13421 16.46744 (56*2π)/95017 weeks
57-12.47288 14.42773 (57*2π)/95017 weeks
58-12.12502 12.88353 (58*2π)/95016 weeks
59-12.39599 11.6051 (59*2π)/95016 weeks
60-12.07973 9.41331 (60*2π)/95016 weeks
61-11.53321 8.36103 (61*2π)/95016 weeks
62-10.7204 6.18342 (62*2π)/95015 weeks
63-9.26198 4.87769 (63*2π)/95015 weeks
64-8.61777 3.84541 (64*2π)/95015 weeks
65-7.35979 2.86398 (65*2π)/95015 weeks
66-6.44978 2.00037 (66*2π)/95014 weeks
67-4.97541 .55492 (67*2π)/95014 weeks
68-3.46792 .75745 (68*2π)/95014 weeks
69-2.10661 .46526 (69*2π)/95014 weeks
70-1.05842 1.04762 (70*2π)/95014 weeks
71-.58676 .63122 (71*2π)/95013 weeks
72.61638 .06736 (72*2π)/95013 weeks
731.63165 .71102 (73*2π)/95013 weeks
742.26952 .53901 (74*2π)/95013 weeks
752.97932 .88266 (75*2π)/95013 weeks
763.55117 .99889 (76*2π)/95013 weeks
774.3229 1.41846 (77*2π)/95012 weeks
784.31307 1.57243 (78*2π)/95012 weeks
795.45353 1.89783 (79*2π)/95012 weeks
805.68401 2.5689 (80*2π)/95012 weeks
816.04114 3.0503 (81*2π)/95012 weeks
826.02081 3.80555 (82*2π)/95012 weeks
835.54908 4.15538 (83*2π)/95011 weeks
845.7951 4.81603 (84*2π)/95011 weeks
854.71392 5.51381 (85*2π)/95011 weeks
863.75076 5.0301 (86*2π)/95011 weeks
873.45342 4.54021 (87*2π)/95011 weeks
882.71498 3.71622 (88*2π)/95011 weeks
892.45555 3.10414 (89*2π)/95011 weeks
902.2357 2.15842 (90*2π)/95011 weeks
912.29082 .54036 (91*2π)/95010 weeks
923.11548 -.60049 (92*2π)/95010 weeks
934.02869 -1.74554 (93*2π)/95010 weeks
945.40434 -2.69522 (94*2π)/95010 weeks
956.51174 -2.77164 (95*2π)/95010 weeks
967.65525 -3.34246 (96*2π)/95010 weeks
979.33957 -3.42847 (97*2π)/95010 weeks
9810.97501 -3.16618 (98*2π)/95010 weeks
9912.09494 -2.47241 (99*2π)/95010 weeks
10013.50812 -1.85207 (100*2π)/95010 weeks
10114.55346 -.98511 (101*2π)/9509 weeks
10215.90052 -.12631 (102*2π)/9509 weeks
10316.60393 1.55585 (103*2π)/9509 weeks
10416.86065 2.77424 (104*2π)/9509 weeks
10517.48585 3.94284 (105*2π)/9509 weeks
10617.69222 5.44779 (106*2π)/9509 weeks
10717.88161 6.97996 (107*2π)/9509 weeks
10817.51291 8.6996 (108*2π)/9509 weeks
10916.56757 9.74365 (109*2π)/9509 weeks
11015.75853 10.84011 (110*2π)/9509 weeks
11114.64076 11.71788 (111*2π)/9509 weeks
11213.72162 12.38745 (112*2π)/9508 weeks
11312.57726 12.85895 (113*2π)/9508 weeks
11411.76539 12.76206 (114*2π)/9508 weeks
11510.96459 12.91967 (115*2π)/9508 weeks
1169.99158 12.51826 (116*2π)/9508 weeks
1179.7606 12.56308 (117*2π)/9508 weeks
1188.87353 12.38808 (118*2π)/9508 weeks
1198.56534 12.1829 (119*2π)/9508 weeks
1208.22699 12.22955 (120*2π)/9508 weeks
1217.88783 11.81592 (121*2π)/9508 weeks
1227.69004 11.90559 (122*2π)/9508 weeks
1237.24971 11.38679 (123*2π)/9508 weeks
1247.21917 11.35665 (124*2π)/9508 weeks
1256.80716 11.09749 (125*2π)/9508 weeks
1266.5499 10.86114 (126*2π)/9508 weeks
1276.65771 10.70062 (127*2π)/9507 weeks
1286.78853 10.82966 (128*2π)/9507 weeks
1296.4588 10.52916 (129*2π)/9507 weeks
1306.39758 10.49575 (130*2π)/9507 weeks
1316.59643 10.11945 (131*2π)/9507 weeks
1326.63589 10.04713 (132*2π)/9507 weeks
1336.8259 10.64201 (133*2π)/9507 weeks
1346.38157 10.84987 (134*2π)/9507 weeks
1356.49049 10.71553 (135*2π)/9507 weeks
1366.72759 11.21287 (136*2π)/9507 weeks
1376.27619 11.44037 (137*2π)/9507 weeks
1385.96037 11.86691 (138*2π)/9507 weeks
1395.11715 12.15683 (139*2π)/9507 weeks
1404.77943 11.91702 (140*2π)/9507 weeks
1414.41045 12.11007 (141*2π)/9507 weeks
1423.96107 12.13631 (142*2π)/9507 weeks
1433.42499 12.07843 (143*2π)/9507 weeks
1442.88929 11.86564 (144*2π)/9507 weeks
1452.4602 11.83083 (145*2π)/9507 weeks
1461.75846 11.58876 (146*2π)/9507 weeks
1471.01578 11.3629 (147*2π)/9506 weeks
148.34179 10.47966 (148*2π)/9506 weeks
149.15058 9.85905 (149*2π)/9506 weeks
150.0558 9.20948 (150*2π)/9506 weeks
151-.04029 8.55137 (151*2π)/9506 weeks
152-.34634 7.6526 (152*2π)/9506 weeks
153.16738 6.64922 (153*2π)/9506 weeks
154.62641 6.46657 (154*2π)/9506 weeks
155.88955 5.93466 (155*2π)/9506 weeks
1561.52002 5.7998 (156*2π)/9506 weeks
1571.6491 5.66019 (157*2π)/9506 weeks
1582.12228 5.36748 (158*2π)/9506 weeks
1592.42268 5.65602 (159*2π)/9506 weeks
1602.68817 5.6065 (160*2π)/9506 weeks
1612.81347 5.8155 (161*2π)/9506 weeks
1622.53157 5.62369 (162*2π)/9506 weeks
1632.88112 5.18797 (163*2π)/9506 weeks
1643.13876 5.33346 (164*2π)/9506 weeks
1653.19979 5.27636 (165*2π)/9506 weeks
1663.32156 5.09506 (166*2π)/9506 weeks
1673.58713 4.90003 (167*2π)/9506 weeks
1683.84773 4.70901 (168*2π)/9506 weeks
1694.47114 4.62448 (169*2π)/9506 weeks
1705.00618 5.16352 (170*2π)/9506 weeks
1715.31097 5.40692 (171*2π)/9506 weeks
1725.65911 5.71233 (172*2π)/9506 weeks
1735.88116 6.13418 (173*2π)/9505 weeks
1746.24055 6.68339 (174*2π)/9505 weeks
1756.20774 7.61118 (175*2π)/9505 weeks
1765.71251 8.29398 (176*2π)/9505 weeks
1775.48928 8.78075 (177*2π)/9505 weeks
1785.13198 9.31275 (178*2π)/9505 weeks
1794.80782 9.92303 (179*2π)/9505 weeks
1803.83302 10.30329 (180*2π)/9505 weeks
1813.06156 10.37206 (181*2π)/9505 weeks
1822.27004 10.66998 (182*2π)/9505 weeks
1831.18691 10.44583 (183*2π)/9505 weeks
184.25033 10.33574 (184*2π)/9505 weeks
185-.59622 9.72151 (185*2π)/9505 weeks
186-1.10031 8.87386 (186*2π)/9505 weeks
187-1.57232 8.22584 (187*2π)/9505 weeks
188-2.00353 7.21155 (188*2π)/9505 weeks
189-2.00619 6.13525 (189*2π)/9505 weeks
190-1.81138 5.35294 (190*2π)/9505 weeks
191-1.47966 4.47852 (191*2π)/9505 weeks
192-.69125 4.09527 (192*2π)/9505 weeks
193-.27613 3.8602 (193*2π)/9505 weeks
194.39907 3.78718 (194*2π)/9505 weeks
195.9175 3.76694 (195*2π)/9505 weeks
1961.34356 3.87483 (196*2π)/9505 weeks
1971.46683 4.47283 (197*2π)/9505 weeks
1981.50577 4.6804 (198*2π)/9505 weeks
1991.21108 5.06266 (199*2π)/9505 weeks
200.80869 4.94306 (200*2π)/9505 weeks
201.86458 5.00322 (201*2π)/9505 weeks
202.3859 5.05695 (202*2π)/9505 weeks
203.08781 4.67525 (203*2π)/9505 weeks
204-.05645 4.44021 (204*2π)/9505 weeks
205-.19605 3.82986 (205*2π)/9505 weeks
206-.04932 3.44052 (206*2π)/9505 weeks
207.05003 3.17417 (207*2π)/9505 weeks
208.12733 2.80497 (208*2π)/9505 weeks
209.33569 2.5365 (209*2π)/9505 weeks
210.74094 2.08196 (210*2π)/9505 weeks
2111.2648 2.09654 (211*2π)/9505 weeks
2121.53521 1.98243 (212*2π)/9504 weeks
2131.91074 2.10242 (213*2π)/9504 weeks
2142.16335 2.21742 (214*2π)/9504 weeks
2152.58164 2.31769 (215*2π)/9504 weeks
2162.84961 2.81344 (216*2π)/9504 weeks
2172.71591 3.01756 (217*2π)/9504 weeks
2182.8477 3.15994 (218*2π)/9504 weeks
2192.86148 3.70421 (219*2π)/9504 weeks
2202.50073 3.90935 (220*2π)/9504 weeks
2212.40808 3.90862 (221*2π)/9504 weeks
2222.10642 4.21035 (222*2π)/9504 weeks
2231.98602 4.30049 (223*2π)/9504 weeks
2241.53026 4.52474 (224*2π)/9504 weeks
225.93714 4.33509 (225*2π)/9504 weeks
226.54678 4.05539 (226*2π)/9504 weeks
227.39174 3.74938 (227*2π)/9504 weeks
228-.01871 3.46062 (228*2π)/9504 weeks
229-.23486 2.99113 (229*2π)/9504 weeks
230-.10682 2.19991 (230*2π)/9504 weeks
231.1196 1.70735 (231*2π)/9504 weeks
232.52183 1.34938 (232*2π)/9504 weeks
233.70513 1.20289 (233*2π)/9504 weeks
2341.02495 1.06384 (234*2π)/9504 weeks
2351.45591 .98427 (235*2π)/9504 weeks
2361.92868 1.0474 (236*2π)/9504 weeks
2372.17953 1.33288 (237*2π)/9504 weeks
2382.28554 1.34269 (238*2π)/9504 weeks
2392.23955 1.68785 (239*2π)/9504 weeks
2402.20611 1.80037 (240*2π)/9504 weeks
2412.15833 1.81362 (241*2π)/9504 weeks
2422.03358 2.10831 (242*2π)/9504 weeks
2431.75995 2.06418 (243*2π)/9504 weeks
2441.74555 1.87712 (244*2π)/9504 weeks
2451.78152 1.99629 (245*2π)/9504 weeks
2461.62456 1.77466 (246*2π)/9504 weeks
2471.52956 1.6656 (247*2π)/9504 weeks
2481.46942 1.55748 (248*2π)/9504 weeks
2491.4217 1.35448 (249*2π)/9504 weeks
2501.43642 1.19454 (250*2π)/9504 weeks
2511.65576 1.08027 (251*2π)/9504 weeks
2521.66927 1.03933 (252*2π)/9504 weeks
2531.77842 .92151 (253*2π)/9504 weeks
2541.80153 1.12996 (254*2π)/9504 weeks
2551.6176 .88375 (255*2π)/9504 weeks
2561.72025 1.00609 (256*2π)/9504 weeks
2571.47144 1.11714 (257*2π)/9504 weeks
2581.30131 .83064 (258*2π)/9504 weeks
2591.12465 .59386 (259*2π)/9504 weeks
260.9438 .21879 (260*2π)/9504 weeks
261.94813 -.22245 (261*2π)/9504 weeks
262.95539 -.56251 (262*2π)/9504 weeks
2631.0975 -1.08953 (263*2π)/9504 weeks
2641.32766 -1.6395 (264*2π)/9504 weeks
2651.78107 -2.02592 (265*2π)/9504 weeks
2662.22814 -2.50258 (266*2π)/9504 weeks
2672.93007 -2.85516 (267*2π)/9504 weeks
2683.57129 -2.87444 (268*2π)/9504 weeks
2694.26847 -3.05575 (269*2π)/9504 weeks
2705.27365 -3.03297 (270*2π)/9504 weeks
2715.94406 -2.43345 (271*2π)/9504 weeks
2726.46275 -1.98435 (272*2π)/9503 weeks
2736.96177 -1.41809 (273*2π)/9503 weeks
2747.42892 -.78834 (274*2π)/9503 weeks
2757.77189 -.19131 (275*2π)/9503 weeks
2767.8008 .91495 (276*2π)/9503 weeks
2777.42591 1.48917 (277*2π)/9503 weeks
2787.34101 1.90901 (278*2π)/9503 weeks
2797.15286 2.75116 (279*2π)/9503 weeks
2806.68117 3.17387 (280*2π)/9503 weeks
2816.29885 3.80383 (281*2π)/9503 weeks
2825.40031 3.94163 (282*2π)/9503 weeks
2835.03952 4.05477 (283*2π)/9503 weeks
2844.38569 4.36594 (284*2π)/9503 weeks
2853.69721 4.22771 (285*2π)/9503 weeks
2862.98704 4.06765 (286*2π)/9503 weeks
2872.30173 3.41073 (287*2π)/9503 weeks
2882.19353 2.8395 (288*2π)/9503 weeks
2891.75226 2.51977 (289*2π)/9503 weeks
2901.60397 1.66324 (290*2π)/9503 weeks
2911.95646 1.08 (291*2π)/9503 weeks
2922.09851 .5245 (292*2π)/9503 weeks
2932.67562 .012 (293*2π)/9503 weeks
2943.07743 -.06791 (294*2π)/9503 weeks
2953.43454 -.29234 (295*2π)/9503 weeks
2964.01452 -.30554 (296*2π)/9503 weeks
2974.38955 -.13877 (297*2π)/9503 weeks
2984.84165 -.05467 (298*2π)/9503 weeks
2995.15102 .27664 (299*2π)/9503 weeks
3005.41137 .52109 (300*2π)/9503 weeks
3015.61876 .95558 (301*2π)/9503 weeks
3025.77428 1.17175 (302*2π)/9503 weeks
3035.92506 1.80049 (303*2π)/9503 weeks
3045.69961 2.15754 (304*2π)/9503 weeks
3055.56913 2.48611 (305*2π)/9503 weeks
3065.40503 2.71363 (306*2π)/9503 weeks
3075.34641 2.88417 (307*2π)/9503 weeks
3085.17309 3.39665 (308*2π)/9503 weeks
3094.76236 3.59668 (309*2π)/9503 weeks
3104.40426 3.65677 (310*2π)/9503 weeks
3114.28582 3.91102 (311*2π)/9503 weeks
3123.79007 4.12147 (312*2π)/9503 weeks
3133.33934 4.13309 (313*2π)/9503 weeks
3142.8362 4.10879 (314*2π)/9503 weeks
3152.42366 3.88134 (315*2π)/9503 weeks
3162.17253 3.68955 (316*2π)/9503 weeks
3171.8529 3.59774 (317*2π)/9503 weeks
3181.35536 3.33487 (318*2π)/9503 weeks
3191.16176 2.97533 (319*2π)/9503 weeks
320.87222 2.41468 (320*2π)/9503 weeks
3211.00928 2.03298 (321*2π)/9503 weeks
322.90981 1.67928 (322*2π)/9503 weeks
323.8439 1.26792 (323*2π)/9503 weeks
3241.03603 .97196 (324*2π)/9503 weeks
3251.20743 .53411 (325*2π)/9503 weeks
3261.56256 .27105 (326*2π)/9503 weeks
3271.85198 .32374 (327*2π)/9503 weeks
3281.9646 .2981 (328*2π)/9503 weeks
3292.17669 .33757 (329*2π)/9503 weeks
3302.20729 .29004 (330*2π)/9503 weeks
3312.37836 .24866 (331*2π)/9503 weeks
3322.36737 .4671 (332*2π)/9503 weeks
3332.27095 .42927 (333*2π)/9503 weeks
3342.16436 .3605 (334*2π)/9503 weeks
3352.11677 .29135 (335*2π)/9503 weeks
3362.15682 .1539 (336*2π)/9503 weeks
3371.86205 .02688 (337*2π)/9503 weeks
3382.07299 -.34514 (338*2π)/9503 weeks
3391.95179 -.59207 (339*2π)/9503 weeks
3402.29592 -.99826 (340*2π)/9503 weeks
3412.49769 -.91567 (341*2π)/9503 weeks
3422.54858 -1.26338 (342*2π)/9503 weeks
3433.01381 -1.40963 (343*2π)/9503 weeks
3443.30933 -1.49661 (344*2π)/9503 weeks
3453.69918 -1.50923 (345*2π)/9503 weeks
3463.93382 -1.30476 (346*2π)/9503 weeks
3474.27106 -1.30104 (347*2π)/9503 weeks
3484.49248 -1.14652 (348*2π)/9503 weeks
3494.83261 -.94288 (349*2π)/9503 weeks
3505.19665 -.59828 (350*2π)/9503 weeks
3515.24408 -.2336 (351*2π)/9503 weeks
3525.36435 .04686 (352*2π)/9503 weeks
3535.3206 .53 (353*2π)/9503 weeks
3545.25774 .92877 (354*2π)/9503 weeks
3555.03858 1.34435 (355*2π)/9503 weeks
3564.5225 1.63968 (356*2π)/9503 weeks
3574.08999 1.60982 (357*2π)/9503 weeks
3583.82846 1.55798 (358*2π)/9503 weeks
3593.58037 1.75445 (359*2π)/9503 weeks
3603.07686 1.61834 (360*2π)/9503 weeks
3612.7789 1.41587 (361*2π)/9503 weeks
3622.54514 1.05531 (362*2π)/9503 weeks
3632.46262 .58635 (363*2π)/9503 weeks
3642.50255 .3481 (364*2π)/9503 weeks
3652.45776 .02124 (365*2π)/9503 weeks
3662.54414 -.29247 (366*2π)/9503 weeks
3672.71612 -.58086 (367*2π)/9503 weeks
3683.07336 -.76838 (368*2π)/9503 weeks
3693.38009 -.89209 (369*2π)/9503 weeks
3703.66617 -.8931 (370*2π)/9503 weeks
3713.86044 -.79699 (371*2π)/9503 weeks
3724.23868 -.8883 (372*2π)/9503 weeks
3734.4378 -.51737 (373*2π)/9503 weeks
3744.44639 -.37521 (374*2π)/9503 weeks
3754.69471 -.12145 (375*2π)/9503 weeks
3764.53054 .10699 (376*2π)/9503 weeks
3774.66448 .14751 (377*2π)/9503 weeks
3784.71741 .40723 (378*2π)/9503 weeks
3794.63469 .75131 (379*2π)/9503 weeks
3804.62058 1.00363 (380*2π)/9503 weeks
3814.26324 1.1584 (381*2π)/9502 weeks
3824.0967 1.39813 (382*2π)/9502 weeks
3833.79527 1.53679 (383*2π)/9502 weeks
3843.41563 1.58078 (384*2π)/9502 weeks
3853.01194 1.77 (385*2π)/9502 weeks
3862.50819 1.49998 (386*2π)/9502 weeks
3872.2258 1.18022 (387*2π)/9502 weeks
3881.86735 .75431 (388*2π)/9502 weeks
3891.80811 .49028 (389*2π)/9502 weeks
3901.667 .03732 (390*2π)/9502 weeks
3911.79144 -.48398 (391*2π)/9502 weeks
3922.01697 -.82187 (392*2π)/9502 weeks
3932.24273 -1.02053 (393*2π)/9502 weeks
3942.42536 -1.17915 (394*2π)/9502 weeks
3952.54282 -1.41968 (395*2π)/9502 weeks
3962.98493 -1.41379 (396*2π)/9502 weeks
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