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Fourier Analysis of CXPO (Crimson Exploration Inc.)


CXPO (Crimson Exploration Inc.) appears to have interesting cyclic behaviour every 88 weeks (83.5703*sine), 50 weeks (79.6354*sine), and 95 weeks (78.5345*cosine).

CXPO (Crimson Exploration Inc.) has an average price of 221.09 (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 10/31/1994 to 1/16/2017 for CXPO (Crimson Exploration Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0221.0852   0 
1229.1888 31.62936 (1*2π)/11451,145 weeks
252.91497 -127.8416 (2*2π)/1145573 weeks
3-27.44867 -250.8927 (3*2π)/1145382 weeks
459.60498 -222.46 (4*2π)/1145286 weeks
559.80237 -11.39918 (5*2π)/1145229 weeks
6-31.93326 63.05597 (6*2π)/1145191 weeks
7-78.70979 -13.16203 (7*2π)/1145164 weeks
81.2822 -118.269 (8*2π)/1145143 weeks
987.77271 -106.7256 (9*2π)/1145127 weeks
1063.35653 -2.75842 (10*2π)/1145115 weeks
11-43.68985 21.85213 (11*2π)/1145104 weeks
12-78.53448 -16.34319 (12*2π)/114595 weeks
13-16.63781 -83.57025 (13*2π)/114588 weeks
1474.46104 -38.32243 (14*2π)/114582 weeks
1564.95643 -.19469 (15*2π)/114576 weeks
16-6.97787 23.17583 (16*2π)/114572 weeks
17-71.22449 -51.43258 (17*2π)/114567 weeks
18-19.26726 -76.27449 (18*2π)/114564 weeks
1931.93428 -44.65899 (19*2π)/114560 weeks
2029.76999 44.1049 (20*2π)/114557 weeks
21-16.72598 13.44144 (21*2π)/114555 weeks
22-27.83932 -2.92311 (22*2π)/114552 weeks
23-19.43907 -79.63538 (23*2π)/114550 weeks
2454.30788 -33.4435 (24*2π)/114548 weeks
2510.6422 17.61416 (25*2π)/114546 weeks
26-16.17304 21.8452 (26*2π)/114544 weeks
27-36.07418 -23.11777 (27*2π)/114542 weeks
2810.51584 -52.20254 (28*2π)/114541 weeks
2931.65161 -24.52025 (29*2π)/114539 weeks
30-.42541 3.45461 (30*2π)/114538 weeks
31-9.34324 -4.60407 (31*2π)/114537 weeks
32-32.61624 2.2393 (32*2π)/114536 weeks
332.90626 -31.0873 (33*2π)/114535 weeks
3414.07247 -9.28361 (34*2π)/114534 weeks
3523.69646 -15.82058 (35*2π)/114533 weeks
36-1.40239 10.14068 (36*2π)/114532 weeks
37-19.36904 -20.43412 (37*2π)/114531 weeks
38-21.747 -9.46962 (38*2π)/114530 weeks
395.13091 -33.12394 (39*2π)/114529 weeks
4019.87387 4.68095 (40*2π)/114529 weeks
419.83957 7.38357 (41*2π)/114528 weeks
42-21.04525 -4.56328 (42*2π)/114527 weeks
43-6.76765 -28.60435 (43*2π)/114527 weeks
44-15.65828 -21.50639 (44*2π)/114526 weeks
4518.09267 -21.21445 (45*2π)/114525 weeks
464.86517 25.10574 (46*2π)/114525 weeks
47-9.95918 8.93304 (47*2π)/114524 weeks
48-30.98823 -10.2609 (48*2π)/114524 weeks
4914.60638 -49.18963 (49*2π)/114523 weeks
5021.56809 .35411 (50*2π)/114523 weeks
511.79345 18.80222 (51*2π)/114522 weeks
52-29.18906 10.72046 (52*2π)/114522 weeks
53-10.8375 -16.36915 (53*2π)/114522 weeks
547.33189 -19.96886 (54*2π)/114521 weeks
5532.18609 -7.95827 (55*2π)/114521 weeks
562.69835 12.8923 (56*2π)/114520 weeks
57-13.70157 7.53969 (57*2π)/114520 weeks
58-27.62283 -20.86416 (58*2π)/114520 weeks
5914.456 -24.95459 (59*2π)/114519 weeks
6021.90237 -7.69845 (60*2π)/114519 weeks
6122.03621 21.87017 (61*2π)/114519 weeks
62-34.59299 -4.42941 (62*2π)/114518 weeks
63-11.31154 -27.76797 (63*2π)/114518 weeks
643.27711 -41.30172 (64*2π)/114518 weeks
6534.85654 17.00305 (65*2π)/114518 weeks
66-31.90192 25.46279 (66*2π)/114517 weeks
67-7.49218 -18.82238 (67*2π)/114517 weeks
68-4.37457 -21.67508 (68*2π)/114517 weeks
6924.81704 -5.01017 (69*2π)/114517 weeks
70-11.82973 -.07275 (70*2π)/114516 weeks
71-4.34304 -1.45509 (71*2π)/114516 weeks
72-10.28835 -4.55954 (72*2π)/114516 weeks
735.57099 -5.89415 (73*2π)/114516 weeks
74-1.44003 -1.17027 (74*2π)/114515 weeks
752.22887 -8.91372 (75*2π)/114515 weeks
763.53872 -12.39441 (76*2π)/114515 weeks
77-3.08777 4.90997 (77*2π)/114515 weeks
78-8.03346 -5.06035 (78*2π)/114515 weeks
79-13.30256 -.8441 (79*2π)/114514 weeks
8013.70543 -26.78593 (80*2π)/114514 weeks
8113.8595 22.65973 (81*2π)/114514 weeks
82-10.93612 -11.55431 (82*2π)/114514 weeks
83-12.87212 -1.7608 (83*2π)/114514 weeks
841.40287 -31.33962 (84*2π)/114514 weeks
8512.98796 18.52022 (85*2π)/114513 weeks
86-15.75271 -6.99475 (86*2π)/114513 weeks
87.86917 10.81957 (87*2π)/114513 weeks
88-10.91371 -33.36675 (88*2π)/114513 weeks
8932.16847 8.30499 (89*2π)/114513 weeks
90-25.57612 16.5885 (90*2π)/114513 weeks
91-16.09706 -23.9889 (91*2π)/114513 weeks
9215.91054 -14.76094 (92*2π)/114512 weeks
9317.53945 11.33048 (93*2π)/114512 weeks
94-6.68554 18.66225 (94*2π)/114512 weeks
95-36.37426 -19.64944 (95*2π)/114512 weeks
9622.8253 -39.01746 (96*2π)/114512 weeks
9714.14788 16.66056 (97*2π)/114512 weeks
98-5.01001 15.38383 (98*2π)/114512 weeks
99-31.07928 8.04247 (99*2π)/114512 weeks
1006.28086 -33.18743 (100*2π)/114511 weeks
10113.2738 -5.23554 (101*2π)/114511 weeks
10226.33179 3.35525 (102*2π)/114511 weeks
103-25.63342 19.59565 (103*2π)/114511 weeks
104-15.7357 -26.50689 (104*2π)/114511 weeks
105.79887 -8.85121 (105*2π)/114511 weeks
10617.78175 -10.58688 (106*2π)/114511 weeks
107-.93915 18.90327 (107*2π)/114511 weeks
108.14137 -4.13262 (108*2π)/114511 weeks
109-23.04541 -2.49895 (109*2π)/114511 weeks
1108.85711 -31.82273 (110*2π)/114510 weeks
11111.55691 11.64057 (111*2π)/114510 weeks
112-9.52423 2.65658 (112*2π)/114510 weeks
113-2.25977 -2.5469 (113*2π)/114510 weeks
114-5.04568 -3.09343 (114*2π)/114510 weeks
115-.69399 -13.461 (115*2π)/114510 weeks
1162.3094 3.35348 (116*2π)/114510 weeks
117-9.95577 -16.61041 (117*2π)/114510 weeks
11822.03653 17.72865 (118*2π)/114510 weeks
119-35.27097 2.40237 (119*2π)/114510 weeks
12013.12215 -17.34592 (120*2π)/114510 weeks
121-2.26406 -5.81664 (121*2π)/11459 weeks
12216.93688 -4.10101 (122*2π)/11459 weeks
123-12.99359 10.65706 (123*2π)/11459 weeks
124-7.93109 -4.69345 (124*2π)/11459 weeks
125-11.8186 -11.75611 (125*2π)/11459 weeks
12615.86376 -5.80992 (126*2π)/11459 weeks
1274.10667 5.61857 (127*2π)/11459 weeks
128-3.21742 8.11811 (128*2π)/11459 weeks
129-13.73939 -15.78641 (129*2π)/11459 weeks
1307.52735 1.08204 (130*2π)/11459 weeks
131-9.73756 -15.05616 (131*2π)/11459 weeks
13216.59318 10.81783 (132*2π)/11459 weeks
133-15.76697 1.52099 (133*2π)/11459 weeks
1344.30744 -7.74413 (134*2π)/11459 weeks
135-7.57134 -4.41635 (135*2π)/11458 weeks
1367.96027 -5.99823 (136*2π)/11458 weeks
137-7.42735 1.77097 (137*2π)/11458 weeks
138-5.05456 -1.43813 (138*2π)/11458 weeks
13911.47973 -7.171 (139*2π)/11458 weeks
140-9.7911 17.69079 (140*2π)/11458 weeks
141-5.63017 -24.07601 (141*2π)/11458 weeks
14210.01211 3.65721 (142*2π)/11458 weeks
143-3.49284 -8.34485 (143*2π)/11458 weeks
1441.39894 11.37535 (144*2π)/11458 weeks
145-6.60743 -8.10559 (145*2π)/11458 weeks
146-.35485 6.6775 (146*2π)/11458 weeks
147-5.27659 -17.40806 (147*2π)/11458 weeks
14810.46068 -2.56732 (148*2π)/11458 weeks
1498.98793 -3.54606 (149*2π)/11458 weeks
150-15.89757 22.85426 (150*2π)/11458 weeks
151-16.67999 -21.18601 (151*2π)/11458 weeks
152.95329 -10.79569 (152*2π)/11458 weeks
15324.34963 -14.48094 (153*2π)/11457 weeks
15412.27877 39.35526 (154*2π)/11457 weeks
155-41.82326 -4.70114 (155*2π)/11457 weeks
156-8.15674 -26.81695 (156*2π)/11457 weeks
15724.57559 -24.08006 (157*2π)/11457 weeks
15820.87955 28.63418 (158*2π)/11457 weeks
159-25.81869 23.2206 (159*2π)/11457 weeks
160-21.97414 -28.91991 (160*2π)/11457 weeks
16121.70799 -15.75392 (161*2π)/11457 weeks
162.47824 3.70344 (162*2π)/11457 weeks
16310.39479 8.48434 (163*2π)/11457 weeks
164-28.6399 3.98612 (164*2π)/11457 weeks
16513.54799 -12.78834 (165*2π)/11457 weeks
166-11.52671 6.15586 (166*2π)/11457 weeks
16715.43292 -16.79056 (167*2π)/11457 weeks
168-10.94997 12.83274 (168*2π)/11457 weeks
16911.68075 -19.37813 (169*2π)/11457 weeks
170-8.73667 21.77527 (170*2π)/11457 weeks
171-13.91945 -9.00445 (171*2π)/11457 weeks
172-2.57087 -13.73472 (172*2π)/11457 weeks
17321.53284 -10.38144 (173*2π)/11457 weeks
1745.95871 22.32821 (174*2π)/11457 weeks
175-15.72343 1.7931 (175*2π)/11457 weeks
176-22.73121 -10.94715 (176*2π)/11457 weeks
1779.11383 -25.02225 (177*2π)/11456 weeks
17822.44546 4.08231 (178*2π)/11456 weeks
179-.08569 32.20839 (179*2π)/11456 weeks
180-28.40796 -6.32986 (180*2π)/11456 weeks
181-2.15088 -17.84319 (181*2π)/11456 weeks
18212.37415 -23.80588 (182*2π)/11456 weeks
18320.22512 23.72912 (183*2π)/11456 weeks
184-27.0136 2.28367 (184*2π)/11456 weeks
1855.57195 -1.13511 (185*2π)/11456 weeks
186-17.94808 -9.31726 (186*2π)/11456 weeks
18715.43587 -7.38591 (187*2π)/11456 weeks
188-2.25296 -10.82418 (188*2π)/11456 weeks
18919.56768 18.43398 (189*2π)/11456 weeks
190-33.83496 8.42451 (190*2π)/11456 weeks
191-1.81141 -16.91695 (191*2π)/11456 weeks
192-1.87559 -9.87722 (192*2π)/11456 weeks
19325.27096 -4.72227 (193*2π)/11456 weeks
1942.08103 21.48506 (194*2π)/11456 weeks
195-21.34719 7.62879 (195*2π)/11456 weeks
196-16.01138 -23.72169 (196*2π)/11456 weeks
19712.39524 -13.7751 (197*2π)/11456 weeks
19817.85075 .7634 (198*2π)/11456 weeks
199.79997 28.00897 (199*2π)/11456 weeks
200-20.29824 -3.10088 (200*2π)/11456 weeks
201-15.80679 -13.09251 (201*2π)/11456 weeks
20218.20996 -30.91412 (202*2π)/11456 weeks
20319.40716 20.54717 (203*2π)/11456 weeks
204-6.42793 12.0606 (204*2π)/11456 weeks
205-25.71968 16.542 (205*2π)/11456 weeks
206-11.24275 -50.20275 (206*2π)/11456 weeks
20740.13772 7.10922 (207*2π)/11456 weeks
208-5.58355 12.84435 (208*2π)/11456 weeks
209-12.68008 5.88943 (209*2π)/11455 weeks
210-9.67748 -13.6616 (210*2π)/11455 weeks
211.97479 -3.80517 (211*2π)/11455 weeks
2127.36555 -8.28884 (212*2π)/11455 weeks
213.37107 8.50507 (213*2π)/11455 weeks
214.86599 -5.73658 (214*2π)/11455 weeks
215-7.12333 9.59995 (215*2π)/11455 weeks
216-9.23833 -12.95802 (216*2π)/11455 weeks
217-2.74558 -.97968 (217*2π)/11455 weeks
21815.63298 -12.63498 (218*2π)/11455 weeks
2191.58671 21.88966 (219*2π)/11455 weeks
220-8.77837 .40255 (220*2π)/11455 weeks
221-13.86112 -8.77111 (221*2π)/11455 weeks
2225.59731 -19.94572 (222*2π)/11455 weeks
22314.53508 6.20044 (223*2π)/11455 weeks
224.18401 11.4911 (224*2π)/11455 weeks
225-19.75102 2.99155 (225*2π)/11455 weeks
2265.24234 -9.28926 (226*2π)/11455 weeks
227-13.95926 -15.22835 (227*2π)/11455 weeks
22832.70107 -9.18214 (228*2π)/11455 weeks
229-12.20312 30.09952 (229*2π)/11455 weeks
230-15.23885 -10.26467 (230*2π)/11455 weeks
231-12.11133 -5.79678 (231*2π)/11455 weeks
23214.84973 -15.62694 (232*2π)/11455 weeks
2337.1504 5.95493 (233*2π)/11455 weeks
2344.51791 11.47276 (234*2π)/11455 weeks
235-23.70157 4.64205 (235*2π)/11455 weeks
236-4.18277 -18.69655 (236*2π)/11455 weeks
237-.66975 -12.17475 (237*2π)/11455 weeks
23832.55703 7.5782 (238*2π)/11455 weeks
239-21.40288 27.32366 (239*2π)/11455 weeks
240-17.44976 -12.84883 (240*2π)/11455 weeks
241.32194 -21.87947 (241*2π)/11455 weeks
24223.81915 -5.83867 (242*2π)/11455 weeks
2431.5053 26.57092 (243*2π)/11455 weeks
244-23.74985 4.32869 (244*2π)/11455 weeks
245-7.62079 -26.4118 (245*2π)/11455 weeks
24620.37722 -1.94013 (246*2π)/11455 weeks
2478.29392 4.19306 (247*2π)/11455 weeks
248-17.57201 24.07658 (248*2π)/11455 weeks
249-19.46007 -41.1746 (249*2π)/11455 weeks
25034.55097 13.14656 (250*2π)/11455 weeks
251-21.87453 5.32428 (251*2π)/11455 weeks
2525.79462 2.97598 (252*2π)/11455 weeks
253-17.75342 -13.2788 (253*2π)/11455 weeks
25427.57136 -3.35765 (254*2π)/11455 weeks
255-19.11646 14.96615 (255*2π)/11454 weeks
256-.15173 -9.219 (256*2π)/11454 weeks
257-3.3367 -3.39867 (257*2π)/11454 weeks
2585.09865 -1.04867 (258*2π)/11454 weeks
2595.93748 3.68538 (259*2π)/11454 weeks
260-11.67985 5.35002 (260*2π)/11454 weeks
261-2.69605 -16.73134 (261*2π)/11454 weeks
2628.9273 2.77949 (262*2π)/11454 weeks
263.20413 1.45414 (263*2π)/11454 weeks
264-8.93611 10.97683 (264*2π)/11454 weeks
265-3.95071 -18.0803 (265*2π)/11454 weeks
2667.81376 -.09453 (266*2π)/11454 weeks
2679.45664 -2.2403 (267*2π)/11454 weeks
268-14.21316 16.49872 (268*2π)/11454 weeks
269-6.99498 -19.80009 (269*2π)/11454 weeks
270-4.38679 .40338 (270*2π)/11454 weeks
27121.40646 -16.35189 (271*2π)/11454 weeks
272-.05293 39.36396 (272*2π)/11454 weeks
273-29.78673 -20.6919 (273*2π)/11454 weeks
2747.143 -10.28743 (274*2π)/11454 weeks
27510.22671 -17.27093 (275*2π)/11454 weeks
27611.08971 28.33327 (276*2π)/11454 weeks
277-26.60064 .91671 (277*2π)/11454 weeks
278-3.12411 -9.77587 (278*2π)/11454 weeks
279.61135 -9.93613 (279*2π)/11454 weeks
28014.18743 -6.55611 (280*2π)/11454 weeks
2818.5601 22.84067 (281*2π)/11454 weeks
282-29.93062 .64613 (282*2π)/11454 weeks
2832.53674 -14.27774 (283*2π)/11454 weeks
284-3.22779 -9.4374 (284*2π)/11454 weeks
28530.30627 -1.52894 (285*2π)/11454 weeks
286-19.38253 28.7434 (286*2π)/11454 weeks
287-5.15232 -17.37813 (287*2π)/11454 weeks
288-13.44708 -4.66897 (288*2π)/11454 weeks
28914.78673 -15.71348 (289*2π)/11454 weeks
2907.34085 11.63639 (290*2π)/11454 weeks
291-2.97626 11.01521 (291*2π)/11454 weeks
292-22.38161 .61708 (292*2π)/11454 weeks
2938.64117 -21.57317 (293*2π)/11454 weeks
294-3.47492 1.55502 (294*2π)/11454 weeks
29517.10353 -3.19417 (295*2π)/11454 weeks
296-7.53865 20.11195 (296*2π)/11454 weeks
297-18.04703 1.30758 (297*2π)/11454 weeks
298-11.39486 -23.07405 (298*2π)/11454 weeks
29931.89796 -11.0019 (299*2π)/11454 weeks
3001.7241 25.2143 (300*2π)/11454 weeks
301-18.66066 10.93391 (301*2π)/11454 weeks
302-19.99144 -22.00615 (302*2π)/11454 weeks
30320.48525 -12.40908 (303*2π)/11454 weeks
30410.03765 13.60064 (304*2π)/11454 weeks
305-5.5793 16.24414 (305*2π)/11454 weeks
306-20.66453 -17.14803 (306*2π)/11454 weeks
30716.42157 -3.58088 (307*2π)/11454 weeks
308-5.12743 -6.41215 (308*2π)/11454 weeks
3097.78463 11.65902 (309*2π)/11454 weeks
310-17.70895 -1.09305 (310*2π)/11454 weeks
3117.14328 -8.49691 (311*2π)/11454 weeks
3121.30294 1.4114 (312*2π)/11454 weeks
313-1.28506 7.65793 (313*2π)/11454 weeks
314-6.44358 -15.84123 (314*2π)/11454 weeks
3158.72265 13.09272 (315*2π)/11454 weeks
316-15.83439 -9.72603 (316*2π)/11454 weeks
31714.29857 2.73122 (317*2π)/11454 weeks
318-7.1316 .89901 (318*2π)/11454 weeks
319-.37195 5.83478 (319*2π)/11454 weeks
320-7.75536 -14.83199 (320*2π)/11454 weeks
32110.18796 .16807 (321*2π)/11454 weeks
322-1.34032 3.96094 (322*2π)/11454 weeks
323-3.9511 10.46004 (323*2π)/11454 weeks
324-14.83087 -12.42183 (324*2π)/11454 weeks
32511.84718 -2.9795 (325*2π)/11454 weeks
3265.8728 -4.44386 (326*2π)/11454 weeks
327.88765 12.18613 (327*2π)/11454 weeks
328-9.06918 4.7259 (328*2π)/11453 weeks
329-20.19894 -13.11497 (329*2π)/11453 weeks
33023.39966 -19.80511 (330*2π)/11453 weeks
3319.06216 26.99964 (331*2π)/11453 weeks
332-10.47811 2.05425 (332*2π)/11453 weeks
333-21.52138 .13212 (333*2π)/11453 weeks
33412.37462 -33.04253 (334*2π)/11453 weeks
33512.08443 18.08229 (335*2π)/11453 weeks
3361.42192 3.02281 (336*2π)/11453 weeks
337-23.44691 18.53435 (337*2π)/11453 weeks
338-3.60028 -40.46817 (338*2π)/11453 weeks
33926.21032 13.28381 (339*2π)/11453 weeks
340-9.40732 6.89216 (340*2π)/11453 weeks
341-8.84172 3.06472 (341*2π)/11453 weeks
342-7.63938 -16.542 (342*2π)/11453 weeks
34316.6215 .03752 (343*2π)/11453 weeks
344-3.41883 15.47946 (344*2π)/11453 weeks
345-17.1014 -9.71577 (345*2π)/11453 weeks
34614.39162 -7.1013 (346*2π)/11453 weeks
347-8.05875 2.31663 (347*2π)/11453 weeks
34810.08884 .85923 (348*2π)/11453 weeks
349-16.07935 6.07445 (349*2π)/11453 weeks
3502.58155 -5.50411 (350*2π)/11453 weeks
351-7.76424 -8.98021 (351*2π)/11453 weeks
35222.12914 -1.38568 (352*2π)/11453 weeks
353-13.06885 16.07273 (353*2π)/11453 weeks
354-2.86789 -5.11475 (354*2π)/11453 weeks
355-21.27586 -7.3271 (355*2π)/11453 weeks
35625.88934 -14.52042 (356*2π)/11453 weeks
357-2.26724 14.35505 (357*2π)/11453 weeks
3585.8905 10.22569 (358*2π)/11453 weeks
359-29.82964 3.35383 (359*2π)/11453 weeks
3605.74806 -34.86947 (360*2π)/11453 weeks
36115.59549 9.67552 (361*2π)/11453 weeks
3623.72192 6.62983 (362*2π)/11453 weeks
363-12.47761 14.27046 (363*2π)/11453 weeks
364-16.04303 -6.648 (364*2π)/11453 weeks
3654.22204 -18.97151 (365*2π)/11453 weeks
3668.76978 .43759 (366*2π)/11453 weeks
36716.19091 -1.84914 (367*2π)/11453 weeks
368-8.01377 40.80706 (368*2π)/11453 weeks
369-41.75882 -26.68266 (369*2π)/11453 weeks
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