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Fourier Analysis of TRAC (Track Data Corporation)


TRAC (Track Data Corporation) appears to have interesting cyclic behaviour every 96 weeks (111.951*cosine), 87 weeks (100.0685*sine), and 96 weeks (82.4684*sine).

TRAC (Track Data Corporation) has an average price of 300.11 (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 1/3/2000 to 6/4/2018 for TRAC (Track Data Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0300.1137   0 
1193.1816 233.3145 (1*2π)/962962 weeks
277.15631 97.47385 (2*2π)/962481 weeks
386.01641 90.70963 (3*2π)/962321 weeks
478.86037 53.60272 (4*2π)/962241 weeks
5105.9893 79.69052 (5*2π)/962192 weeks
648.64075 76.10432 (6*2π)/962160 weeks
750.57732 15.9874 (7*2π)/962137 weeks
8103.1648 .78205 (8*2π)/962120 weeks
9131.1401 48.05196 (9*2π)/962107 weeks
10111.951 82.46838 (10*2π)/96296 weeks
1179.94794 100.0685 (11*2π)/96287 weeks
1244.2219 76.51309 (12*2π)/96280 weeks
1357.09032 57.22573 (13*2π)/96274 weeks
1460.33441 56.62123 (14*2π)/96269 weeks
1572.16953 62.92765 (15*2π)/96264 weeks
1658.02383 76.79745 (16*2π)/96260 weeks
1748.42476 68.83509 (17*2π)/96257 weeks
1846.51455 64.62985 (18*2π)/96253 weeks
1953.51672 68.38187 (19*2π)/96251 weeks
2036.38271 79.61069 (20*2π)/96248 weeks
2128.08647 62.97359 (21*2π)/96246 weeks
2233.29682 59.92077 (22*2π)/96244 weeks
2332.37238 57.37199 (23*2π)/96242 weeks
2436.63339 52.37462 (24*2π)/96240 weeks
2544.96249 58.58113 (25*2π)/96238 weeks
2642.30909 72.46235 (26*2π)/96237 weeks
2728.9231 81.77911 (27*2π)/96236 weeks
2815.58706 76.94256 (28*2π)/96234 weeks
2911.41604 70.10856 (29*2π)/96233 weeks
3012.78265 67.1089 (30*2π)/96232 weeks
316.04143 70.58076 (31*2π)/96231 weeks
32-1.37323 62.4251 (32*2π)/96230 weeks
33-2.71745 57.68757 (33*2π)/96229 weeks
34-6.08194 49.71331 (34*2π)/96228 weeks
351.39424 41.11386 (35*2π)/96227 weeks
369.04368 48.95643 (36*2π)/96227 weeks
374.41228 55.49774 (37*2π)/96226 weeks
38-4.1349 61.21139 (38*2π)/96225 weeks
39-18.08657 51.62437 (39*2π)/96225 weeks
40-17.11706 40.05527 (40*2π)/96224 weeks
41-11.51584 32.76952 (41*2π)/96223 weeks
42-8.6359 39.24 (42*2π)/96223 weeks
43-17.32828 32.21432 (43*2π)/96222 weeks
44-7.48949 27.82063 (44*2π)/96222 weeks
45-9.35339 32.04652 (45*2π)/96221 weeks
46-10.16985 29.87747 (46*2π)/96221 weeks
47-14.10547 29.75635 (47*2π)/96220 weeks
48-14.91076 22.24182 (48*2π)/96220 weeks
49-12.86186 21.6139 (49*2π)/96220 weeks
50-14.43355 16.51639 (50*2π)/96219 weeks
51-9.74185 13.61331 (51*2π)/96219 weeks
52-6.02321 12.54977 (52*2π)/96219 weeks
53-2.49136 17.48388 (53*2π)/96218 weeks
54-8.54632 18.92334 (54*2π)/96218 weeks
55-10.01657 14.17473 (55*2π)/96217 weeks
56-8.95782 9.89806 (56*2π)/96217 weeks
57-4.92428 7.70193 (57*2π)/96217 weeks
58-1.0925 9.18548 (58*2π)/96217 weeks
59-2.8623 14.09845 (59*2π)/96216 weeks
60-9.22845 10.18893 (60*2π)/96216 weeks
61-6.6865 4.08397 (61*2π)/96216 weeks
62-2.3885 1.12026 (62*2π)/96216 weeks
632.73773 4.58676 (63*2π)/96215 weeks
64-.59311 7.81236 (64*2π)/96215 weeks
65-4.71662 5.69503 (65*2π)/96215 weeks
66-3.67029 -1.96896 (66*2π)/96215 weeks
674.08965 -1.78098 (67*2π)/96214 weeks
683.685 -.0922 (68*2π)/96214 weeks
696.48741 -1.00328 (69*2π)/96214 weeks
706.47998 -.60485 (70*2π)/96214 weeks
7110.27782 -2.46706 (71*2π)/96214 weeks
7213.45035 1.35612 (72*2π)/96213 weeks
7312.37774 5.53703 (73*2π)/96213 weeks
747.86873 6.27925 (74*2π)/96213 weeks
756.15611 3.31189 (75*2π)/96213 weeks
765.24951 -2.44607 (76*2π)/96213 weeks
7713.76659 -7.38385 (77*2π)/96212 weeks
7820.45587 -2.0522 (78*2π)/96212 weeks
7920.02881 2.53633 (79*2π)/96212 weeks
8019.83547 4.09532 (80*2π)/96212 weeks
8119.27941 5.28492 (81*2π)/96212 weeks
8222.0483 5.16188 (82*2π)/96212 weeks
8324.30673 10.38752 (83*2π)/96212 weeks
8420.82811 14.3457 (84*2π)/96211 weeks
8518.60294 13.42694 (85*2π)/96211 weeks
8617.89571 15.81837 (86*2π)/96211 weeks
8712.85216 13.56099 (87*2π)/96211 weeks
8815.32638 10.91115 (88*2π)/96211 weeks
8916.94046 11.11843 (89*2π)/96211 weeks
9020.29628 14.61717 (90*2π)/96211 weeks
9116.70277 18.90814 (91*2π)/96211 weeks
9214.40289 17.72116 (92*2π)/96210 weeks
9313.06562 16.87035 (93*2π)/96210 weeks
9414.34809 15.81348 (94*2π)/96210 weeks
9513.99983 19.37461 (95*2π)/96210 weeks
969.13509 19.91088 (96*2π)/96210 weeks
977.38313 16.25361 (97*2π)/96210 weeks
988.35893 13.70059 (98*2π)/96210 weeks
9912.70758 13.60913 (99*2π)/96210 weeks
10011.98982 19.23322 (100*2π)/96210 weeks
1017.55018 18.66422 (101*2π)/96210 weeks
1024.19121 15.34528 (102*2π)/9629 weeks
1038.11792 9.67644 (103*2π)/9629 weeks
10411.66425 13.91679 (104*2π)/9629 weeks
10510.99187 15.61002 (105*2π)/9629 weeks
1069.1154 18.1151 (106*2π)/9629 weeks
1077.05714 15.40303 (107*2π)/9629 weeks
1089.45425 14.39747 (108*2π)/9629 weeks
10910.20884 15.66197 (109*2π)/9629 weeks
11011.08504 17.12785 (110*2π)/9629 weeks
1119.28795 22.0747 (111*2π)/9629 weeks
1122.81972 22.05825 (112*2π)/9629 weeks
113.24989 18.86968 (113*2π)/9629 weeks
114.78826 14.91778 (114*2π)/9628 weeks
1153.74176 15.94752 (115*2π)/9628 weeks
1161.67996 16.83646 (116*2π)/9628 weeks
117-.34313 16.71729 (117*2π)/9628 weeks
118-3.26751 11.74349 (118*2π)/9628 weeks
1192.17329 9.2129 (119*2π)/9628 weeks
1202.83434 12.34562 (120*2π)/9628 weeks
1212.01545 14.01731 (121*2π)/9628 weeks
122-2.03066 15.99087 (122*2π)/9628 weeks
123-6.57395 10.64326 (123*2π)/9628 weeks
124-2.61231 4.45339 (124*2π)/9628 weeks
1252.72308 5.06161 (125*2π)/9628 weeks
1263.07095 9.57414 (126*2π)/9628 weeks
127-1.44188 8.86855 (127*2π)/9628 weeks
128-.78696 6.08094 (128*2π)/9628 weeks
129.44057 4.71182 (129*2π)/9627 weeks
1303.27827 5.53188 (130*2π)/9627 weeks
1311.67892 7.23964 (131*2π)/9627 weeks
132.25294 4.75934 (132*2π)/9627 weeks
1331.42348 2.96377 (133*2π)/9627 weeks
1342.79165 1.47373 (134*2π)/9627 weeks
1355.37623 1.65014 (135*2π)/9627 weeks
1366.63601 2.99894 (136*2π)/9627 weeks
1377.33571 4.84497 (137*2π)/9627 weeks
1386.4211 6.17108 (138*2π)/9627 weeks
1395.61462 6.08621 (139*2π)/9627 weeks
1405.47672 4.93382 (140*2π)/9627 weeks
1417.3819 5.2063 (141*2π)/9627 weeks
1426.29227 7.54793 (142*2π)/9627 weeks
1434.19708 6.52718 (143*2π)/9627 weeks
1443.62888 4.60679 (144*2π)/9627 weeks
1456.91871 2.54922 (145*2π)/9627 weeks
1469.07377 5.87784 (146*2π)/9627 weeks
1478.02664 7.99261 (147*2π)/9627 weeks
1484.92873 9.26459 (148*2π)/9627 weeks
1491.95989 6.3968 (149*2π)/9626 weeks
1502.57628 2.2857 (150*2π)/9626 weeks
1516.91458 1.55837 (151*2π)/9626 weeks
1527.84597 4.73346 (152*2π)/9626 weeks
1536.84509 5.01468 (153*2π)/9626 weeks
1546.85325 3.66593 (154*2π)/9626 weeks
1559.45145 3.31541 (155*2π)/9626 weeks
15610.27187 5.90183 (156*2π)/9626 weeks
1578.88661 7.48357 (157*2π)/9626 weeks
1586.68695 7.26851 (158*2π)/9626 weeks
1596.51098 5.63075 (159*2π)/9626 weeks
1607.55129 4.8818 (160*2π)/9626 weeks
1619.27941 6.0921 (161*2π)/9626 weeks
1628.1242 7.07492 (162*2π)/9626 weeks
1638.54551 6.06604 (163*2π)/9626 weeks
1649.49383 6.82249 (164*2π)/9626 weeks
1658.71294 7.98469 (165*2π)/9626 weeks
1668.25388 8.08195 (166*2π)/9626 weeks
1678.13224 8.64367 (167*2π)/9626 weeks
1688.16278 9.14384 (168*2π)/9626 weeks
1697.33135 10.02773 (169*2π)/9626 weeks
1706.13952 9.91635 (170*2π)/9626 weeks
1714.46823 7.90585 (171*2π)/9626 weeks
1727.40122 5.79197 (172*2π)/9626 weeks
1738.52141 9.06293 (173*2π)/9626 weeks
1746.56774 10.84818 (174*2π)/9626 weeks
1753.57616 10.7582 (175*2π)/9625 weeks
1763.99628 7.67052 (176*2π)/9625 weeks
1775.61947 8.73663 (177*2π)/9625 weeks
1785.22803 9.15185 (178*2π)/9625 weeks
1793.69492 10.38183 (179*2π)/9625 weeks
1801.34337 8.02186 (180*2π)/9625 weeks
1812.46437 6.36019 (181*2π)/9625 weeks
1822.77627 6.11211 (182*2π)/9625 weeks
1834.53143 5.70524 (183*2π)/9625 weeks
1845.15321 8.87881 (184*2π)/9625 weeks
1851.7375 9.22385 (185*2π)/9625 weeks
186.98098 6.68323 (186*2π)/9625 weeks
1871.66468 5.09695 (187*2π)/9625 weeks
1882.03094 4.84373 (188*2π)/9625 weeks
1892.31129 4.51168 (189*2π)/9625 weeks
1902.13998 5.21271 (190*2π)/9625 weeks
1911.4791 3.95148 (191*2π)/9625 weeks
1922.96374 3.47555 (192*2π)/9625 weeks
1932.89898 3.35676 (193*2π)/9625 weeks
1944.1717 2.60011 (194*2π)/9625 weeks
1954.15518 4.1676 (195*2π)/9625 weeks
1961.88662 3.59107 (196*2π)/9625 weeks
1972.15067 1.1027 (197*2π)/9625 weeks
1984.18129 .59083 (198*2π)/9625 weeks
1996.19019 1.26372 (199*2π)/9625 weeks
2007.10647 4.17778 (200*2π)/9625 weeks
2014.79891 5.15562 (201*2π)/9625 weeks
2024.15693 3.85955 (202*2π)/9625 weeks
2033.6818 3.42884 (203*2π)/9625 weeks
2043.78291 1.89032 (204*2π)/9625 weeks
2055.00526 2.79776 (205*2π)/9625 weeks
2062.76966 3.84761 (206*2π)/9625 weeks
2071.55531 .83525 (207*2π)/9625 weeks
2084.24269 -1.01611 (208*2π)/9625 weeks
2096.3602 -.89725 (209*2π)/9625 weeks
2108.28316 .53244 (210*2π)/9625 weeks
2117.09793 2.24332 (211*2π)/9625 weeks
2126.29752 2.40442 (212*2π)/9625 weeks
2134.59999 1.36812 (213*2π)/9625 weeks
2146.87581 -.31551 (214*2π)/9624 weeks
2158.08219 .8936 (215*2π)/9624 weeks
2168.96502 1.66576 (216*2π)/9624 weeks
2177.93855 2.64832 (217*2π)/9624 weeks
2187.46071 1.49393 (218*2π)/9624 weeks
2197.91179 .51375 (219*2π)/9624 weeks
22010.27975 .37592 (220*2π)/9624 weeks
22111.20732 3.17735 (221*2π)/9624 weeks
2229.57616 4.99108 (222*2π)/9624 weeks
2238.10381 4.33071 (223*2π)/9624 weeks
2248.94132 2.71933 (224*2π)/9624 weeks
22511.85215 3.64914 (225*2π)/9624 weeks
22611.07815 7.67826 (226*2π)/9624 weeks
2277.33062 7.71441 (227*2π)/9624 weeks
2285.8407 5.96699 (228*2π)/9624 weeks
2296.41315 3.49025 (229*2π)/9624 weeks
2309.18421 4.01257 (230*2π)/9624 weeks
23110.04943 6.11814 (231*2π)/9624 weeks
2328.23616 8.41286 (232*2π)/9624 weeks
2335.74091 6.7209 (233*2π)/9624 weeks
2345.78175 5.51015 (234*2π)/9624 weeks
2356.05808 3.82922 (235*2π)/9624 weeks
2368.29313 4.7034 (236*2π)/9624 weeks
2377.46331 6.66996 (237*2π)/9624 weeks
2386.29167 6.23747 (238*2π)/9624 weeks
2396.73733 5.59117 (239*2π)/9624 weeks
2407.38959 5.19907 (240*2π)/9624 weeks
2418.60895 6.98988 (241*2π)/9624 weeks
2425.73067 8.21539 (242*2π)/9624 weeks
2435.03978 6.69728 (243*2π)/9624 weeks
2443.9645 6.38198 (244*2π)/9624 weeks
2454.86143 4.38131 (245*2π)/9624 weeks
2466.29475 5.16248 (246*2π)/9624 weeks
2476.84928 5.85696 (247*2π)/9624 weeks
2485.85851 7.15797 (248*2π)/9624 weeks
2494.86265 5.53042 (249*2π)/9624 weeks
2505.96813 5.68918 (250*2π)/9624 weeks
2515.17013 6.10605 (251*2π)/9624 weeks
2525.39082 6.39158 (252*2π)/9624 weeks
2534.76683 6.80665 (253*2π)/9624 weeks
2544.69324 6.94845 (254*2π)/9624 weeks
2553.17191 6.23893 (255*2π)/9624 weeks
2564.46555 4.18445 (256*2π)/9624 weeks
2575.51472 5.43123 (257*2π)/9624 weeks
2585.17996 6.2108 (258*2π)/9624 weeks
2593.8175 7.36648 (259*2π)/9624 weeks
2602.50087 6.40141 (260*2π)/9624 weeks
2612.60734 5.80711 (261*2π)/9624 weeks
2623.12394 5.60114 (262*2π)/9624 weeks
2632.30947 6.12366 (263*2π)/9624 weeks
2641.70439 4.22054 (264*2π)/9624 weeks
2652.7097 4.10548 (265*2π)/9624 weeks
2661.75511 3.55297 (266*2π)/9624 weeks
2673.22264 2.82683 (267*2π)/9624 weeks
2683.27864 4.47657 (268*2π)/9624 weeks
2692.71131 4.30582 (269*2π)/9624 weeks
2702.33774 4.88132 (270*2π)/9624 weeks
2711.34046 3.17935 (271*2π)/9624 weeks
2722.59061 2.16015 (272*2π)/9624 weeks
2733.00133 1.94407 (273*2π)/9624 weeks
2743.50413 2.70706 (274*2π)/9624 weeks
2752.45966 3.00407 (275*2π)/9623 weeks
2762.7074 2.50131 (276*2π)/9623 weeks
2772.979 2.44341 (277*2π)/9623 weeks
2783.56901 2.62959 (278*2π)/9623 weeks
2792.7689 3.33117 (279*2π)/9623 weeks
2801.41839 2.02515 (280*2π)/9623 weeks
2811.47337 .43996 (281*2π)/9623 weeks
2822.71772 -1.58253 (282*2π)/9623 weeks
2835.92179 -.71302 (283*2π)/9623 weeks
2846.33937 2.36517 (284*2π)/9623 weeks
2854.37162 4.27783 (285*2π)/9623 weeks
2861.95086 2.88745 (286*2π)/9623 weeks
2873.21915 .35743 (287*2π)/9623 weeks
2885.24068 1.32216 (288*2π)/9623 weeks
2894.03905 3.14101 (289*2π)/9623 weeks
2901.36257 2.4463 (290*2π)/9623 weeks
291.9546 -.57408 (291*2π)/9623 weeks
2923.07938 -1.85107 (292*2π)/9623 weeks
2935.5232 -2.17034 (293*2π)/9623 weeks
2947.59079 .4998 (294*2π)/9623 weeks
2955.56879 1.95198 (295*2π)/9623 weeks
2964.79964 1.32511 (296*2π)/9623 weeks
2973.76072 .35757 (297*2π)/9623 weeks
2985.85865 -.50231 (298*2π)/9623 weeks
2995.67224 1.74351 (299*2π)/9623 weeks
3005.17981 1.19233 (300*2π)/9623 weeks
3014.72651 1.63258 (301*2π)/9623 weeks
3024.87599 -.32936 (302*2π)/9623 weeks
3036.599 .2024 (303*2π)/9623 weeks
3046.60112 .79678 (304*2π)/9623 weeks
3056.41428 1.72165 (305*2π)/9623 weeks
3065.43102 1.51911 (306*2π)/9623 weeks
3075.58018 1.51936 (307*2π)/9623 weeks
3085.35174 1.08825 (308*2π)/9623 weeks
3097.2303 1.31503 (309*2π)/9623 weeks
3106.64106 3.49842 (310*2π)/9623 weeks
3114.83283 2.8355 (311*2π)/9623 weeks
3124.78945 1.37547 (312*2π)/9623 weeks
3136.18825 1.12805 (313*2π)/9623 weeks
3146.50975 3.16351 (314*2π)/9623 weeks
3154.96033 4.24495 (315*2π)/9623 weeks
3163.16628 3.70662 (316*2π)/9623 weeks
3172.90807 1.46243 (317*2π)/9623 weeks
3184.46274 .55869 (318*2π)/9623 weeks
3195.39532 .91362 (319*2π)/9623 weeks
3205.71236 2.06262 (320*2π)/9623 weeks
3214.64881 3.36516 (321*2π)/9623 weeks
3222.97515 3.16519 (322*2π)/9623 weeks
3232.53795 2.33119 (323*2π)/9623 weeks
3242.05925 1.47258 (324*2π)/9623 weeks
3252.53904 .0834 (325*2π)/9623 weeks
3263.73909 -.28745 (326*2π)/9623 weeks
3274.02089 .31639 (327*2π)/9623 weeks
3283.18818 .13278 (328*2π)/9623 weeks
3293.57578 -1.20625 (329*2π)/9623 weeks
3305.04535 -.52441 (330*2π)/9623 weeks
3314.89437 .5045 (331*2π)/9623 weeks
3324.64828 1.40391 (332*2π)/9623 weeks
3332.99108 .75336 (333*2π)/9623 weeks
3343.52056 -.77571 (334*2π)/9623 weeks
3353.61357 -1.2115 (335*2π)/9623 weeks
3364.36771 -1.51715 (336*2π)/9623 weeks
3374.515 -.97954 (337*2π)/9623 weeks
3384.59048 -.28996 (338*2π)/9623 weeks
3393.30414 -.85575 (339*2π)/9623 weeks
3405.10647 -2.54493 (340*2π)/9623 weeks
3416.1549 -1.10291 (341*2π)/9623 weeks
3425.52219 -.54635 (342*2π)/9623 weeks
3433.90306 -.5379 (343*2π)/9623 weeks
3443.32335 -2.99691 (344*2π)/9623 weeks
3455.6551 -3.62312 (345*2π)/9623 weeks
3466.56322 -2.52887 (346*2π)/9623 weeks
3476.98494 -1.55137 (347*2π)/9623 weeks
3486.24201 -1.45229 (348*2π)/9623 weeks
3496.81545 -2.06553 (349*2π)/9623 weeks
3506.81437 -2.82529 (350*2π)/9623 weeks
3519.18095 -2.51813 (351*2π)/9623 weeks
3527.75 .21916 (352*2π)/9623 weeks
3536.17738 -1.01471 (353*2π)/9623 weeks
3546.60207 -1.59265 (354*2π)/9623 weeks
3557.55828 -2.33776 (355*2π)/9623 weeks
3569.27966 -1.83221 (356*2π)/9623 weeks
3579.2964 -.60144 (357*2π)/9623 weeks
3588.81773 -.78594 (358*2π)/9623 weeks
3599.06515 -.21773 (359*2π)/9623 weeks
3608.2406 .36702 (360*2π)/9623 weeks
3617.70841 .3132 (361*2π)/9623 weeks
3627.78122 -.65264 (362*2π)/9623 weeks
3639.48586 -.23881 (363*2π)/9623 weeks
3648.75591 .70334 (364*2π)/9623 weeks
3658.59458 .08203 (365*2π)/9623 weeks
3668.7572 -.69376 (366*2π)/9623 weeks
36710.48905 -.28921 (367*2π)/9623 weeks
3689.77225 1.71775 (368*2π)/9623 weeks
3699.07026 1.5035 (369*2π)/9623 weeks
3708.957 2.20455 (370*2π)/9623 weeks
3718.86294 1.89934 (371*2π)/9623 weeks
3728.91354 2.23381 (372*2π)/9623 weeks
3739.11678 1.71448 (373*2π)/9623 weeks
3749.08911 2.78009 (374*2π)/9623 weeks
3757.88619 2.40209 (375*2π)/9623 weeks
3768.03732 2.17796 (376*2π)/9623 weeks
3778.44346 2.30124 (377*2π)/9623 weeks
3788.66493 3.22659 (378*2π)/9623 weeks
3798.25917 3.55433 (379*2π)/9623 weeks
3807.80344 3.54549 (380*2π)/9623 weeks
3816.98632 3.21205 (381*2π)/9623 weeks
3827.12919 2.55063 (382*2π)/9623 weeks
3836.51582 3.07276 (383*2π)/9623 weeks
3846.9174 2.04754 (384*2π)/9623 weeks
3857.52596 3.558 (385*2π)/9622 weeks
3866.62574 3.4216 (386*2π)/9622 weeks
3876.29136 3.49211 (387*2π)/9622 weeks
3886.18562 2.03345 (388*2π)/9622 weeks
3897.42766 2.55406 (389*2π)/9622 weeks
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953131.1401