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Fourier Analysis of TRAC (TRACK DATA CORP)


TRAC (TRACK DATA CORP) appears to have interesting cyclic behaviour every 117 weeks (133.1341*sine), 106 weeks (99.7622*cosine), and 49 weeks (84.919*cosine).

TRAC (TRACK DATA CORP) has an average price of 396.38 (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 8/11/1994 to 1/17/2017 for TRAC (TRACK DATA CORP), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0396.3828   0 
1-44.39517 407.9242 (1*2π)/11711,171 weeks
2-146.9363 13.43033 (2*2π)/1171586 weeks
34.46459 -147.7469 (3*2π)/1171390 weeks
4195.832 -2.69059 (4*2π)/1171293 weeks
5117.7181 189.9572 (5*2π)/1171234 weeks
6-130.9815 141.6102 (6*2π)/1171195 weeks
7-72.27458 -38.60687 (7*2π)/1171167 weeks
819.8229 -48.83809 (8*2π)/1171146 weeks
998.47034 47.07164 (9*2π)/1171130 weeks
10-56.72346 133.1341 (10*2π)/1171117 weeks
11-99.76215 -61.82747 (11*2π)/1171106 weeks
1269.70004 -53.99039 (12*2π)/117198 weeks
1337.04345 73.96186 (13*2π)/117190 weeks
14-40.35166 14.18669 (14*2π)/117184 weeks
15-1.39489 -17.56931 (15*2π)/117178 weeks
1639.63657 -6.77183 (16*2π)/117173 weeks
1727.17941 50.06765 (17*2π)/117169 weeks
18-34.68832 42.23103 (18*2π)/117165 weeks
19-10.87801 -39.47563 (19*2π)/117162 weeks
2059.2268 10.69976 (20*2π)/117159 weeks
217.27483 75.11584 (21*2π)/117156 weeks
22-65.25945 27.68955 (22*2π)/117153 weeks
23-29.89665 -61.36646 (23*2π)/117151 weeks
2484.91896 -23.78134 (24*2π)/117149 weeks
2534.2403 86.66355 (25*2π)/117147 weeks
26-62.68938 61.45905 (26*2π)/117145 weeks
27-63.00015 -40.00819 (27*2π)/117143 weeks
2834.76012 -53.79498 (28*2π)/117142 weeks
2960.26635 33.80264 (29*2π)/117140 weeks
30-23.25113 79.15646 (30*2π)/117139 weeks
31-82.0676 -9.3135 (31*2π)/117138 weeks
3210.87964 -67.39037 (32*2π)/117137 weeks
3355.51175 22.94473 (33*2π)/117135 weeks
34-22.35717 49.85037 (34*2π)/117134 weeks
35-43.00674 -13.24031 (35*2π)/117133 weeks
368.60715 -35.59337 (36*2π)/117133 weeks
3735.57198 10.65839 (37*2π)/117132 weeks
38-15.026 32.22099 (38*2π)/117131 weeks
39-24.23616 -12.84027 (39*2π)/117130 weeks
4013.4144 -23.6004 (40*2π)/117129 weeks
4123.37119 9.54739 (41*2π)/117129 weeks
421.60716 15.67153 (42*2π)/117128 weeks
43-10.213 10.05491 (43*2π)/117127 weeks
44-3.43706 -14.78503 (44*2π)/117127 weeks
4521.38216 2.78568 (45*2π)/117126 weeks
46-5.31638 24.71758 (46*2π)/117125 weeks
47-17.48031 -15.99472 (47*2π)/117125 weeks
4824.3363 -9.427 (48*2π)/117124 weeks
4913.77404 22.46613 (49*2π)/117124 weeks
50-10.62651 13.2616 (50*2π)/117123 weeks
51-15.7538 -4.49515 (51*2π)/117123 weeks
5214.11407 -14.66153 (52*2π)/117123 weeks
5314.43905 10.96507 (53*2π)/117122 weeks
545.75716 18.86138 (54*2π)/117122 weeks
55-11.63952 9.52779 (55*2π)/117121 weeks
56-4.19505 -4.06467 (56*2π)/117121 weeks
579.97733 1.98703 (57*2π)/117121 weeks
58-.27018 11.06684 (58*2π)/117120 weeks
59-2.09518 5.52 (59*2π)/117120 weeks
60-1.5667 3.52757 (60*2π)/117120 weeks
61-5.14781 7.39075 (61*2π)/117119 weeks
62-5.83076 -3.79022 (62*2π)/117119 weeks
635.23192 -2.85571 (63*2π)/117119 weeks
64-1.26687 7.3539 (64*2π)/117118 weeks
65-4.22512 -4.25366 (65*2π)/117118 weeks
661.81553 -2.4989 (66*2π)/117118 weeks
675.81573 -1.50361 (67*2π)/117117 weeks
686.13904 7.37684 (68*2π)/117117 weeks
69-8.8002 6.89525 (69*2π)/117117 weeks
70-4.81675 -13.38536 (70*2π)/117117 weeks
7118.80019 -6.25196 (71*2π)/117116 weeks
7212.40679 13.73511 (72*2π)/117116 weeks
73-1.29678 19.43081 (73*2π)/117116 weeks
74-18.59258 2.67487 (74*2π)/117116 weeks
751.81404 -17.81056 (75*2π)/117116 weeks
7621.89029 5.27515 (76*2π)/117115 weeks
77-1.2976 18.81854 (77*2π)/117115 weeks
78-11.76121 4.89627 (78*2π)/117115 weeks
79-5.73041 -7.8369 (79*2π)/117115 weeks
8012.23999 -6.73793 (80*2π)/117115 weeks
815.29105 15.29419 (81*2π)/117114 weeks
82-9.64722 1.904 (82*2π)/117114 weeks
83.27393 -8.47551 (83*2π)/117114 weeks
8411.20801 .97431 (84*2π)/117114 weeks
85.99461 7.98591 (85*2π)/117114 weeks
86-6.28763 -.36368 (86*2π)/117114 weeks
878.41997 -7.02606 (87*2π)/117113 weeks
8810.63846 12.61398 (88*2π)/117113 weeks
89-9.86731 9.00871 (89*2π)/117113 weeks
90-2.58248 -9.31199 (90*2π)/117113 weeks
9112.81913 -3.11994 (91*2π)/117113 weeks
929.76002 13.15577 (92*2π)/117113 weeks
93-5.66979 18.55601 (93*2π)/117113 weeks
94-24.16699 -4.65147 (94*2π)/117112 weeks
9510.9642 -26.97332 (95*2π)/117112 weeks
9631.20237 12.20307 (96*2π)/117112 weeks
97-5.54832 32.22009 (97*2π)/117112 weeks
98-27.97925 -1.9306 (98*2π)/117112 weeks
99.5406 -25.23775 (99*2π)/117112 weeks
10027.25655 -1.34807 (100*2π)/117112 weeks
1012.6471 26.33 (101*2π)/117112 weeks
102-18.98593 1.48958 (102*2π)/117111 weeks
103.74842 -14.01438 (103*2π)/117111 weeks
10415.22906 -.1124 (104*2π)/117111 weeks
1051.06795 11.93434 (105*2π)/117111 weeks
106-3.6338 2.05795 (106*2π)/117111 weeks
107-.1326 -3.46449 (107*2π)/117111 weeks
1088.41748 1.18452 (108*2π)/117111 weeks
1094.00869 11.70105 (109*2π)/117111 weeks
110-8.96602 1.76999 (110*2π)/117111 weeks
1117.21796 -5.9946 (111*2π)/117111 weeks
1129.85422 10.55844 (112*2π)/117110 weeks
113-7.23607 12.71173 (113*2π)/117110 weeks
114-8.94459 -3.83686 (114*2π)/117110 weeks
1157.13126 -9.33174 (115*2π)/117110 weeks
11614.62179 11.91029 (116*2π)/117110 weeks
117-11.08198 16.56321 (117*2π)/117110 weeks
118-13.50388 -7.57143 (118*2π)/117110 weeks
1195.82915 -12.86477 (119*2π)/117110 weeks
12014.41404 .86574 (120*2π)/117110 weeks
1215.30317 18.302 (121*2π)/117110 weeks
122-18.7443 6.12547 (122*2π)/117110 weeks
123-4.37099 -16.26438 (123*2π)/117110 weeks
12414.87623 -4.19562 (124*2π)/11719 weeks
1257.72304 9.17995 (125*2π)/11719 weeks
126-7.09567 13.32834 (126*2π)/11719 weeks
127-11.73423 -7.67853 (127*2π)/11719 weeks
1289.80569 -10.5609 (128*2π)/11719 weeks
12911.66344 11.84497 (129*2π)/11719 weeks
130-7.28594 9.68515 (130*2π)/11719 weeks
131-6.4311 -4.15145 (131*2π)/11719 weeks
1327.21168 -6.94414 (132*2π)/11719 weeks
13310.6975 7.44361 (133*2π)/11719 weeks
134-4.06728 12.75061 (134*2π)/11719 weeks
135-11.13557 -5.37609 (135*2π)/11719 weeks
13610.85843 -8.33792 (136*2π)/11719 weeks
1379.22325 9.2526 (137*2π)/11719 weeks
138-3.11863 6.2193 (138*2π)/11718 weeks
139-1.02969 -.06823 (139*2π)/11718 weeks
1402.56131 -2.69413 (140*2π)/11718 weeks
1415.90858 4.72927 (141*2π)/11718 weeks
142-2.35623 7.14014 (142*2π)/11718 weeks
143-2.85468 -1.93579 (143*2π)/11718 weeks
1442.47988 2.98927 (144*2π)/11718 weeks
1451.03089 .849 (145*2π)/11718 weeks
146.67099 6.17921 (146*2π)/11718 weeks
147-7.38848 3.53392 (147*2π)/11718 weeks
148-3.29597 -6.79669 (148*2π)/11718 weeks
1496.09494 1.38523 (149*2π)/11718 weeks
150-1.27782 2.81312 (150*2π)/11718 weeks
1511.7414 3.82977 (151*2π)/11718 weeks
152-7.19711 3.03661 (152*2π)/11718 weeks
153.3757 -9.67895 (153*2π)/11718 weeks
15410.27349 1.42225 (154*2π)/11718 weeks
1553.62451 7.99173 (155*2π)/11718 weeks
156-5.91554 6.24093 (156*2π)/11718 weeks
157-5.89643 -5.64967 (157*2π)/11717 weeks
1589.45752 -7.82437 (158*2π)/11717 weeks
1599.18513 8.6677 (159*2π)/11717 weeks
160-4.42081 8.18755 (160*2π)/11717 weeks
161-8.41279 -2.65318 (161*2π)/11717 weeks
1622.93208 -9.6648 (162*2π)/11717 weeks
16312.04742 1.43129 (163*2π)/11717 weeks
164.25532 12.41877 (164*2π)/11717 weeks
165-10.40722 -.37875 (165*2π)/11717 weeks
1661.9347 -9.53685 (166*2π)/11717 weeks
1679.04987 2.36644 (167*2π)/11717 weeks
168-.93061 6.61989 (168*2π)/11717 weeks
169-2.83745 -.59237 (169*2π)/11717 weeks
1703.08765 -.98919 (170*2π)/11717 weeks
1714.59471 4.13302 (171*2π)/11717 weeks
172-2.96206 6.06503 (172*2π)/11717 weeks
173-2.15054 -4.3083 (173*2π)/11717 weeks
1746.76136 -1.67113 (174*2π)/11717 weeks
1755.54546 6.1423 (175*2π)/11717 weeks
176-.64951 8.51287 (176*2π)/11717 weeks
177-9.78383 .59723 (177*2π)/11717 weeks
1783.63309 -11.18688 (178*2π)/11717 weeks
17914.98373 3.7746 (179*2π)/11717 weeks
180-1.30066 14.07876 (180*2π)/11717 weeks
181-10.11935 .43578 (181*2π)/11716 weeks
182-2.73867 -8.51358 (182*2π)/11716 weeks
1839.78795 -6.81363 (183*2π)/11716 weeks
18410.97645 11.97817 (184*2π)/11716 weeks
185-10.37244 11.12022 (185*2π)/11716 weeks
186-9.73852 -7.74039 (186*2π)/11716 weeks
1876.68634 -9.74638 (187*2π)/11716 weeks
18812.63238 5.26757 (188*2π)/11716 weeks
189-3.65043 13.9258 (189*2π)/11716 weeks
190-10.87056 -2.52687 (190*2π)/11716 weeks
1913.46669 -7.53204 (191*2π)/11716 weeks
1927.81391 3.08433 (192*2π)/11716 weeks
1932.13046 7.46969 (193*2π)/11716 weeks
194-3.90069 4.04121 (194*2π)/11716 weeks
195-1.81161 -2.59509 (195*2π)/11716 weeks
1964.55029 .86171 (196*2π)/11716 weeks
197.40046 4.25226 (197*2π)/11716 weeks
198-1.44653 2.09621 (198*2π)/11716 weeks
199.10687 -.89018 (199*2π)/11716 weeks
2002.4045 1.84064 (200*2π)/11716 weeks
201-1.53871 1.84413 (201*2π)/11716 weeks
202-.70664 -1.90459 (202*2π)/11716 weeks
2033.13141 -.91245 (203*2π)/11716 weeks
2041.6805 3.5959 (204*2π)/11716 weeks
205-3.53092 2.0904 (205*2π)/11716 weeks
206-.74694 -4.49961 (206*2π)/11716 weeks
2076.20807 -.87355 (207*2π)/11716 weeks
2081.37774 5.67795 (208*2π)/11716 weeks
209-1.32523 2.47087 (209*2π)/11716 weeks
210-3.88677 .43033 (210*2π)/11716 weeks
2112.5175 -3.93059 (211*2π)/11716 weeks
2125.94898 4.56703 (212*2π)/11716 weeks
213-2.95186 6.22289 (213*2π)/11715 weeks
214-2.94822 .62451 (214*2π)/11715 weeks
215-2.10394 -3.21511 (215*2π)/11715 weeks
2164.01184 -2.32824 (216*2π)/11715 weeks
2173.87241 3.98693 (217*2π)/11715 weeks
218-2.03642 3.19323 (218*2π)/11715 weeks
219-.94054 .59354 (219*2π)/11715 weeks
220-.64609 -2.79718 (220*2π)/11715 weeks
2215.00984 -1.98971 (221*2π)/11715 weeks
2224.77163 4.908 (222*2π)/11715 weeks
223-4.63038 5.17094 (223*2π)/11715 weeks
224-2.30166 -3.75632 (224*2π)/11715 weeks
2252.03496 -1.78231 (225*2π)/11715 weeks
2265.12896 .79346 (226*2π)/11715 weeks
2271.85126 6.99079 (227*2π)/11715 weeks
228-5.61847 2.53643 (228*2π)/11715 weeks
229-1.86478 -4.85116 (229*2π)/11715 weeks
2305.05433 -1.40867 (230*2π)/11715 weeks
2311.68811 5.01112 (231*2π)/11715 weeks
232-3.57754 3.59739 (232*2π)/11715 weeks
233-2.88693 -3.42263 (233*2π)/11715 weeks
2343.51106 -2.26443 (234*2π)/11715 weeks
2353.20772 1.71916 (235*2π)/11715 weeks
236-.40365 1.46782 (236*2π)/11715 weeks
2371.57684 .09523 (237*2π)/11715 weeks
238-.96756 1.39937 (238*2π)/11715 weeks
239.60102 -1.98203 (239*2π)/11715 weeks
2402.26016 .00425 (240*2π)/11715 weeks
2412.84638 .20533 (241*2π)/11715 weeks
2422.73094 3.15174 (242*2π)/11715 weeks
243-3.58262 2.78852 (243*2π)/11715 weeks
244-.20105 -5.62763 (244*2π)/11715 weeks
2457.10225 .11808 (245*2π)/11715 weeks
2463.30313 6.74084 (246*2π)/11715 weeks
247-4.1609 5.13389 (247*2π)/11715 weeks
248-4.63804 -1.93273 (248*2π)/11715 weeks
2492.37997 -6.76029 (249*2π)/11715 weeks
2509.07583 2.25055 (250*2π)/11715 weeks
251.52797 7.24141 (251*2π)/11715 weeks
252-4.2603 3.4472 (252*2π)/11715 weeks
253-3.36971 -5.19696 (253*2π)/11715 weeks
2548.38385 -4.44191 (254*2π)/11715 weeks
2557.20228 8.13923 (255*2π)/11715 weeks
256-6.01206 5.41671 (256*2π)/11715 weeks
257-2.01275 -4.32332 (257*2π)/11715 weeks
2584.89564 -.94538 (258*2π)/11715 weeks
2591.72477 3.02969 (259*2π)/11715 weeks
260.43787 2.79181 (260*2π)/11715 weeks
261-.20097 -.41637 (261*2π)/11714 weeks
2623.51926 1.37156 (262*2π)/11714 weeks
263.03811 5.42243 (263*2π)/11714 weeks
264-4.69123 -.55619 (264*2π)/11714 weeks
2652.05973 -3.36297 (265*2π)/11714 weeks
2665.07458 3.02922 (266*2π)/11714 weeks
267-.16486 6.63206 (267*2π)/11714 weeks
268-6.15908 2.28697 (268*2π)/11714 weeks
269-.13739 -7.9209 (269*2π)/11714 weeks
27011.20352 1.34285 (270*2π)/11714 weeks
271-.10517 11.89322 (271*2π)/11714 weeks
272-9.11505 1.88742 (272*2π)/11714 weeks
273-2.78762 -6.27494 (273*2π)/11714 weeks
2747.50711 -4.26335 (274*2π)/11714 weeks
2755.54189 9.53033 (275*2π)/11714 weeks
276-8.12898 3.63178 (276*2π)/11714 weeks
277-2.35421 -6.35162 (277*2π)/11714 weeks
2783.9399 -2.66992 (278*2π)/11714 weeks
2793.92848 .15161 (279*2π)/11714 weeks
2801.99645 5.26317 (280*2π)/11714 weeks
281-4.35584 2.06397 (281*2π)/11714 weeks
2821.05055 -3.31119 (282*2π)/11714 weeks
2832.35369 3.34819 (283*2π)/11714 weeks
284-1.92968 1.45592 (284*2π)/11714 weeks
285-.17816 -1.51439 (285*2π)/11714 weeks
2861.88735 1.52252 (286*2π)/11714 weeks
287.62253 2.84964 (287*2π)/11714 weeks
288-3.28575 3.22136 (288*2π)/11714 weeks
289-2.12348 -3.9584 (289*2π)/11714 weeks
2904.88903 -1.69453 (290*2π)/11714 weeks
2912.91501 3.90699 (291*2π)/11714 weeks
292-1.86282 2.87113 (292*2π)/11714 weeks
293-2.7635 -.8569 (293*2π)/11714 weeks
2943.36675 -4.87659 (294*2π)/11714 weeks
2955.80075 3.87109 (295*2π)/11714 weeks
296-1.41132 5.29689 (296*2π)/11714 weeks
297-3.90764 -1.8833 (297*2π)/11714 weeks
2981.87049 -3.09899 (298*2π)/11714 weeks
2994.20266 .01488 (299*2π)/11714 weeks
3001.16742 5.28685 (300*2π)/11714 weeks
301-5.72034 2.88374 (301*2π)/11714 weeks
302-2.5115 -5.87275 (302*2π)/11714 weeks
3034.41677 -2.29935 (303*2π)/11714 weeks
3043.60284 2.99595 (304*2π)/11714 weeks
305-2.77006 4.12656 (305*2π)/11714 weeks
306-3.93597 -1.04467 (306*2π)/11714 weeks
307.61551 -3.44093 (307*2π)/11714 weeks
3083.35718 .6018 (308*2π)/11714 weeks
309.89094 2.91902 (309*2π)/11714 weeks
310-.52891 -.05754 (310*2π)/11714 weeks
311.34772 .14 (311*2π)/11714 weeks
3121.48723 -1.93125 (312*2π)/11714 weeks
3132.51551 1.2436 (313*2π)/11714 weeks
314.11223 1.36001 (314*2π)/11714 weeks
3151.38659 -.81778 (315*2π)/11714 weeks
3161.69561 1.29467 (316*2π)/11714 weeks
317.7676 -.05294 (317*2π)/11714 weeks
3181.55947 .15429 (318*2π)/11714 weeks
319-.13869 .31051 (319*2π)/11714 weeks
320.37687 -.9223 (320*2π)/11714 weeks
321.95218 -1.52824 (321*2π)/11714 weeks
3222.79822 1.34589 (322*2π)/11714 weeks
323.1772 1.43441 (323*2π)/11714 weeks
324-.00151 .19416 (324*2π)/11714 weeks
3252.24442 .07438 (325*2π)/11714 weeks
326-1.08447 2.78837 (326*2π)/11714 weeks
327-1.64028 -1.507 (327*2π)/11714 weeks
3282.97211 -1.6153 (328*2π)/11714 weeks
3292.65853 4.06294 (329*2π)/11714 weeks
330-1.2965 2.75295 (330*2π)/11714 weeks
331-2.33832 .20203 (331*2π)/11714 weeks
332.40369 -3.18682 (332*2π)/11714 weeks
3335.47474 -1.2984 (333*2π)/11714 weeks
3342.91089 5.07327 (334*2π)/11714 weeks
335-2.98992 2.79998 (335*2π)/11713 weeks
336-2.03647 -3.72063 (336*2π)/11713 weeks
3375.68315 -3.40544 (337*2π)/11713 weeks
3385.61387 4.77989 (338*2π)/11713 weeks
339-3.76431 4.22105 (339*2π)/11713 weeks
340-1.8808 -3.94992 (340*2π)/11713 weeks
3413.97974 -1.73282 (341*2π)/11713 weeks
3423.27897 3.44548 (342*2π)/11713 weeks
343-1.16848 4.77071 (343*2π)/11713 weeks
344-6.32905 -.57279 (344*2π)/11713 weeks
3452.0113 -7.28739 (345*2π)/11713 weeks
3466.8168 2.2707 (346*2π)/11713 weeks
347-1.54327 4.70293 (347*2π)/11713 weeks
348-1.98458 .20531 (348*2π)/11713 weeks
349-1.3657 -1.91586 (349*2π)/11713 weeks
3504.69527 -2.00468 (350*2π)/11713 weeks
3512.10662 4.34615 (351*2π)/11713 weeks
352-1.37096 -.64053 (352*2π)/11713 weeks
3533.37178 -.62618 (353*2π)/11713 weeks
3542.11243 2.11373 (354*2π)/11713 weeks
355.85341 3.38436 (355*2π)/11713 weeks
356-2.69148 1.47802 (356*2π)/11713 weeks
357.36927 -4.41339 (357*2π)/11713 weeks
3588.55872 2.06 (358*2π)/11713 weeks
359-1.9253 8.09602 (359*2π)/11713 weeks
360-6.67709 -1.49099 (360*2π)/11713 weeks
3611.30332 -5.76225 (361*2π)/11713 weeks
3624.49349 .32419 (362*2π)/11713 weeks
3631.20244 6.09427 (363*2π)/11713 weeks
364-6.58384 .43958 (364*2π)/11713 weeks
365-.552 -6.38879 (365*2π)/11713 weeks
3667.21944 -1.71211 (366*2π)/11713 weeks
3672.41142 5.55209 (367*2π)/11713 weeks
368-4.44097 3.71135 (368*2π)/11713 weeks
369-3.87513 -5.7905 (369*2π)/11713 weeks
3707.33535 -4.65931 (370*2π)/11713 weeks
3717.37156 7.28163 (371*2π)/11713 weeks
372-4.10258 7.1455 (372*2π)/11713 weeks
373-5.28162 -2.46344 (373*2π)/11713 weeks
3742.74577 -5.06724 (374*2π)/11713 weeks
3755.61514 1.10179 (375*2π)/11713 weeks
3761.19735 6.50591 (376*2π)/11713 weeks
377-5.04225 .90772 (377*2π)/11713 weeks
378.14287 -2.86147 (378*2π)/11713 weeks
3792.3101 -1.06925 (379*2π)/11713 weeks
3802.99894 1.20479 (380*2π)/11713 weeks
381-.88427 2.84455 (381*2π)/11713 weeks
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