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Fourier Analysis of AMEN (AMEN PROPERTIES INC)


AMEN (AMEN PROPERTIES INC) appears to have interesting cyclic behaviour every 92 weeks (72.1582*cosine), 78 weeks (62.489*cosine), and 53 weeks (46.2211*cosine).

AMEN (AMEN PROPERTIES INC) has an average price of 432.33 (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 9/24/1997 to 2/13/2017 for AMEN (AMEN PROPERTIES INC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0432.3293   0 
1308.3343 67.77862 (1*2π)/10121,012 weeks
2221.8596 183.7796 (2*2π)/1012506 weeks
3-49.50459 248.7997 (3*2π)/1012337 weeks
4-100.2088 181.5319 (4*2π)/1012253 weeks
5-156.9661 67.33233 (5*2π)/1012202 weeks
6-165.0866 16.21486 (6*2π)/1012169 weeks
7-96.76361 -90.70734 (7*2π)/1012145 weeks
8-50.12867 -83.90861 (8*2π)/1012127 weeks
932.55318 -101.4975 (9*2π)/1012112 weeks
1054.73399 -60.83784 (10*2π)/1012101 weeks
1172.15818 -15.97486 (11*2π)/101292 weeks
1259.59026 -11.4467 (12*2π)/101284 weeks
1362.489 21.42244 (13*2π)/101278 weeks
1431.96366 24.5153 (14*2π)/101272 weeks
1528.67222 50.9399 (15*2π)/101267 weeks
166.24047 37.72208 (16*2π)/101263 weeks
17-21.8576 41.41235 (17*2π)/101260 weeks
18-28.71497 33.50716 (18*2π)/101256 weeks
19-46.22112 5.47049 (19*2π)/101253 weeks
20-31.54965 -7.61108 (20*2π)/101251 weeks
21-19.78692 -26.80369 (21*2π)/101248 weeks
22-8.26894 -20.69556 (22*2π)/101246 weeks
23-1.0939 -30.09744 (23*2π)/101244 weeks
2413.34588 -27.99127 (24*2π)/101242 weeks
2516.20401 -20.67003 (25*2π)/101240 weeks
2628.24866 -9.11312 (26*2π)/101239 weeks
2725.82843 7.22739 (27*2π)/101237 weeks
285.15176 5.37093 (28*2π)/101236 weeks
292.88703 2.21159 (29*2π)/101235 weeks
3014.62514 -7.91218 (30*2π)/101234 weeks
3119.45755 -3.07166 (31*2π)/101233 weeks
3225.14307 .38919 (32*2π)/101232 weeks
3325.92761 13.87034 (33*2π)/101231 weeks
3420.21245 15.81382 (34*2π)/101230 weeks
3516.43049 23.25359 (35*2π)/101229 weeks
363.73931 25.64618 (36*2π)/101228 weeks
37-1.02973 26.15088 (37*2π)/101227 weeks
38-8.55445 20.43773 (38*2π)/101227 weeks
39-17.34757 8.18925 (39*2π)/101226 weeks
40-17.10043 9.35587 (40*2π)/101225 weeks
41-19.67165 2.80523 (41*2π)/101225 weeks
42-11.17876 -3.52559 (42*2π)/101224 weeks
43-15.91334 -9.94953 (43*2π)/101224 weeks
44-3.31196 -18.20557 (44*2π)/101223 weeks
455.88083 -16.36925 (45*2π)/101222 weeks
4615.73627 -15.13845 (46*2π)/101222 weeks
4723.39832 -8.30341 (47*2π)/101222 weeks
4830.09633 4.13986 (48*2π)/101221 weeks
4926.45313 14.28068 (49*2π)/101221 weeks
5018.94886 25.22001 (50*2π)/101220 weeks
513.38153 28.13432 (51*2π)/101220 weeks
52-3.8612 27.25473 (52*2π)/101219 weeks
53-11.57969 17.60606 (53*2π)/101219 weeks
54-20.40463 11.77926 (54*2π)/101219 weeks
55-18.00616 3.75769 (55*2π)/101218 weeks
56-20.32363 -7.3732 (56*2π)/101218 weeks
57-8.61542 -15.89758 (57*2π)/101218 weeks
58-3.76759 -15.41139 (58*2π)/101217 weeks
592.62165 -15.26152 (59*2π)/101217 weeks
6010.70054 -15.02388 (60*2π)/101217 weeks
6113.87609 -15.48457 (61*2π)/101217 weeks
6223.47453 -10.35378 (62*2π)/101216 weeks
6323.04811 4.30399 (63*2π)/101216 weeks
6419.66411 13.10502 (64*2π)/101216 weeks
6512.10574 18.32059 (65*2π)/101216 weeks
66-2.33396 23.32359 (66*2π)/101215 weeks
67-4.16691 17.8374 (67*2π)/101215 weeks
68-13.47536 13.49274 (68*2π)/101215 weeks
69-13.57094 4.47002 (69*2π)/101215 weeks
70-9.0145 -2.72702 (70*2π)/101214 weeks
71-2.6644 -8.79211 (71*2π)/101214 weeks
725.92382 -10.90648 (72*2π)/101214 weeks
7313.85481 -5.63452 (73*2π)/101214 weeks
7415.03661 -.40914 (74*2π)/101214 weeks
7515.70607 9.12649 (75*2π)/101213 weeks
7612.0789 11.98732 (76*2π)/101213 weeks
77.14195 16.77494 (77*2π)/101213 weeks
78-3.22524 15.29544 (78*2π)/101213 weeks
79-5.46545 12.03749 (79*2π)/101213 weeks
80-7.18153 5.67875 (80*2π)/101213 weeks
81-7.83941 5.87784 (81*2π)/101212 weeks
82-5.97895 .1519 (82*2π)/101212 weeks
83-4.2839 -5.30667 (83*2π)/101212 weeks
841.36529 -2.18087 (84*2π)/101212 weeks
855.78331 -2.06304 (85*2π)/101212 weeks
864.7277 5.78246 (86*2π)/101212 weeks
872.78201 8.08334 (87*2π)/101212 weeks
88-2.68253 8.86992 (88*2π)/101212 weeks
89-3.54579 6.61529 (89*2π)/101211 weeks
90-6.07898 8.23228 (90*2π)/101211 weeks
91-11.31666 1.90252 (91*2π)/101211 weeks
92-11.26238 -1.35179 (92*2π)/101211 weeks
93-9.51417 -6.43414 (93*2π)/101211 weeks
94-3.34339 -11.38439 (94*2π)/101211 weeks
952.28678 -11.51899 (95*2π)/101211 weeks
965.2335 -9.32019 (96*2π)/101211 weeks
9711.14933 -6.1415 (97*2π)/101210 weeks
9811.42365 -1.47598 (98*2π)/101210 weeks
9911.64282 4.40793 (99*2π)/101210 weeks
1008.11372 8.42122 (100*2π)/101210 weeks
1013.25277 11.7385 (101*2π)/101210 weeks
102-1.3666 11.42893 (102*2π)/101210 weeks
103-2.62382 10.10569 (103*2π)/101210 weeks
104-4.47127 7.90956 (104*2π)/101210 weeks
105-6.06543 4.11152 (105*2π)/101210 weeks
106-6.83229 1.31854 (106*2π)/101210 weeks
107-7.11084 -1.95412 (107*2π)/10129 weeks
108-4.03356 -2.9376 (108*2π)/10129 weeks
109-4.09051 -5.55284 (109*2π)/10129 weeks
110-.25964 -4.12607 (110*2π)/10129 weeks
1111.18734 -5.22329 (111*2π)/10129 weeks
1121.50559 -2.61511 (112*2π)/10129 weeks
1132.18028 -3.20709 (113*2π)/10129 weeks
114-.44413 -2.41314 (114*2π)/10129 weeks
1151.84964 -1.67722 (115*2π)/10129 weeks
1164.61432 -2.15651 (116*2π)/10129 weeks
1177.91347 2.03079 (117*2π)/10129 weeks
1185.29325 5.48252 (118*2π)/10129 weeks
1193.60357 8.18633 (119*2π)/10129 weeks
120-1.07761 5.07452 (120*2π)/10128 weeks
121-2.98873 5.40302 (121*2π)/10128 weeks
122-1.15736 1.95088 (122*2π)/10128 weeks
123-3.03382 1.40435 (123*2π)/10128 weeks
124-2.44159 1.86481 (124*2π)/10128 weeks
125-1.9836 -.04948 (125*2π)/10128 weeks
126-.34152 -2.30018 (126*2π)/10128 weeks
127-1.98423 -1.38879 (127*2π)/10128 weeks
128.87721 -4.68642 (128*2π)/10128 weeks
1291.30894 -6.21536 (129*2π)/10128 weeks
1306.35001 -2.23669 (130*2π)/10128 weeks
13110.15746 -.70447 (131*2π)/10128 weeks
1328.30267 4.17011 (132*2π)/10128 weeks
1337.63524 7.2222 (133*2π)/10128 weeks
1344.97955 9.14562 (134*2π)/10128 weeks
135-1.67991 8.66286 (135*2π)/10127 weeks
136-5.25038 9.56005 (136*2π)/10127 weeks
137-7.27845 2.18007 (137*2π)/10127 weeks
138-5.71394 -1.21938 (138*2π)/10127 weeks
139-1.93966 -.89469 (139*2π)/10127 weeks
140-.00338 .87838 (140*2π)/10127 weeks
141.68647 2.18634 (141*2π)/10127 weeks
142-2.02536 2.83333 (142*2π)/10127 weeks
143-2.24799 .87842 (143*2π)/10127 weeks
144-4.54046 -1.22629 (144*2π)/10127 weeks
145-4.04391 .33699 (145*2π)/10127 weeks
146-2.24501 -5.45248 (146*2π)/10127 weeks
147-.01923 -3.25195 (147*2π)/10127 weeks
1484.66947 -1.92265 (148*2π)/10127 weeks
1496.35323 2.60911 (149*2π)/10127 weeks
1504.97935 5.31875 (150*2π)/10127 weeks
1512.5516 7.68593 (151*2π)/10127 weeks
152.90031 7.79995 (152*2π)/10127 weeks
153-3.24284 5.50682 (153*2π)/10127 weeks
154-2.00554 6.57725 (154*2π)/10127 weeks
155-4.13904 2.99372 (155*2π)/10127 weeks
156-6.60934 1.97113 (156*2π)/10126 weeks
157-6.23969 .63907 (157*2π)/10126 weeks
158-6.40354 -3.35674 (158*2π)/10126 weeks
159-5.58141 -5.06181 (159*2π)/10126 weeks
160-3.12633 -6.70407 (160*2π)/10126 weeks
161.60726 -8.77655 (161*2π)/10126 weeks
1622.55835 -6.93611 (162*2π)/10126 weeks
1637.48898 -5.08008 (163*2π)/10126 weeks
1648.61844 -2.37389 (164*2π)/10126 weeks
1657.31125 1.55471 (165*2π)/10126 weeks
1666.80082 3.46639 (166*2π)/10126 weeks
1673.99887 4.64542 (167*2π)/10126 weeks
1682.5962 3.84322 (168*2π)/10126 weeks
1691.87488 5.4859 (169*2π)/10126 weeks
170.35904 4.9434 (170*2π)/10126 weeks
171-1.10788 4.4202 (171*2π)/10126 weeks
172-1.77109 3.23373 (172*2π)/10126 weeks
173-2.32222 1.77336 (173*2π)/10126 weeks
174-2.76787 .60395 (174*2π)/10126 weeks
175-2.04601 -.7263 (175*2π)/10126 weeks
176-.55411 -1.53524 (176*2π)/10126 weeks
1771.54901 -.52176 (177*2π)/10126 weeks
178.70719 -2.26656 (178*2π)/10126 weeks
1791.38149 -2.15812 (179*2π)/10126 weeks
180.89159 -3.31556 (180*2π)/10126 weeks
1812.14692 -2.46553 (181*2π)/10126 weeks
1823.8609 -.96832 (182*2π)/10126 weeks
1833.25982 -.21081 (183*2π)/10126 weeks
1844.65383 1.9524 (184*2π)/10126 weeks
1853.50856 4.10656 (185*2π)/10125 weeks
186.2955 4.93982 (186*2π)/10125 weeks
187-2.5767 6.15688 (187*2π)/10125 weeks
188-3.76575 3.56298 (188*2π)/10125 weeks
189-5.63777 .53254 (189*2π)/10125 weeks
190-4.91398 -2.65237 (190*2π)/10125 weeks
191-2.70811 -2.65091 (191*2π)/10125 weeks
192-1.30412 -4.29533 (192*2π)/10125 weeks
193-.65547 -3.07092 (193*2π)/10125 weeks
194-.29704 -3.42767 (194*2π)/10125 weeks
195-.03239 -3.26048 (195*2π)/10125 weeks
196-.69038 -5.3713 (196*2π)/10125 weeks
1972.52119 -6.26019 (197*2π)/10125 weeks
1986.42199 -5.27419 (198*2π)/10125 weeks
19910.05153 -2.87125 (199*2π)/10125 weeks
20012.5972 4.435 (200*2π)/10125 weeks
2018.79464 5.92288 (201*2π)/10125 weeks
2023.08893 10.28425 (202*2π)/10125 weeks
203-.6913 9.04697 (203*2π)/10125 weeks
204-3.3547 7.54849 (204*2π)/10125 weeks
205-7.66583 5.7242 (205*2π)/10125 weeks
206-6.63342 2.35502 (206*2π)/10125 weeks
207-4.95602 -1.23282 (207*2π)/10125 weeks
208-3.92161 -3.24063 (208*2π)/10125 weeks
209-2.54006 -1.81601 (209*2π)/10125 weeks
210-1.06673 -3.45754 (210*2π)/10125 weeks
211-.92152 -4.83489 (211*2π)/10125 weeks
2123.60924 -4.33708 (212*2π)/10125 weeks
2134.24758 -4.94574 (213*2π)/10125 weeks
2145.91935 -2.9382 (214*2π)/10125 weeks
2158.46879 -1.03635 (215*2π)/10125 weeks
2166.54666 1.5942 (216*2π)/10125 weeks
2176.53018 5.60013 (217*2π)/10125 weeks
2183.19188 8.07305 (218*2π)/10125 weeks
219.69805 6.71963 (219*2π)/10125 weeks
220-2.65686 6.66471 (220*2π)/10125 weeks
221-3.08951 4.55198 (221*2π)/10125 weeks
222-3.63708 4.34824 (222*2π)/10125 weeks
223-4.39254 2.35581 (223*2π)/10125 weeks
224-4.31078 -.36189 (224*2π)/10125 weeks
225-2.98856 -1.25235 (225*2π)/10124 weeks
226-2.92389 -3.62937 (226*2π)/10124 weeks
227-2.07814 -3.41698 (227*2π)/10124 weeks
228-.0629 -4.40514 (228*2π)/10124 weeks
2292.88188 -4.2283 (229*2π)/10124 weeks
2304.88103 -3.17027 (230*2π)/10124 weeks
2315.76408 -1.6415 (231*2π)/10124 weeks
2326.88516 .48937 (232*2π)/10124 weeks
2335.36284 3.45063 (233*2π)/10124 weeks
2344.73613 2.6904 (234*2π)/10124 weeks
235.26906 3.93677 (235*2π)/10124 weeks
236.9743 2.61294 (236*2π)/10124 weeks
237-.61937 1.96274 (237*2π)/10124 weeks
238-.07943 1.02822 (238*2π)/10124 weeks
239-2.0118 1.90961 (239*2π)/10124 weeks
240-1.23885 4.01222 (240*2π)/10124 weeks
241-2.63468 1.6771 (241*2π)/10124 weeks
242-2.76432 1.37586 (242*2π)/10124 weeks
243-3.66681 .98684 (243*2π)/10124 weeks
244-3.78514 -.13196 (244*2π)/10124 weeks
245-2.37615 -3.50632 (245*2π)/10124 weeks
246-2.39814 -2.56233 (246*2π)/10124 weeks
247.83137 -4.24798 (247*2π)/10124 weeks
2481.57115 -4.22242 (248*2π)/10124 weeks
2493.88308 -3.043 (249*2π)/10124 weeks
2505.96509 -2.7699 (250*2π)/10124 weeks
2517.18069 .94448 (251*2π)/10124 weeks
2526.56427 4.10921 (252*2π)/10124 weeks
2535.35976 6.82934 (253*2π)/10124 weeks
254.29188 8.40756 (254*2π)/10124 weeks
255-2.82998 8.86166 (255*2π)/10124 weeks
256-4.23845 4.92407 (256*2π)/10124 weeks
257-6.54827 1.84757 (257*2π)/10124 weeks
258-4.18457 .32759 (258*2π)/10124 weeks
259-3.65186 -2.93843 (259*2π)/10124 weeks
260-4.11718 -4.47597 (260*2π)/10124 weeks
261-2.05493 -5.76732 (261*2π)/10124 weeks
262.19972 -6.91112 (262*2π)/10124 weeks
2633.03011 -6.9216 (263*2π)/10124 weeks
2645.39808 -4.20313 (264*2π)/10124 weeks
2656.32577 -1.85383 (265*2π)/10124 weeks
2667.83118 .54393 (266*2π)/10124 weeks
2678.35912 3.90317 (267*2π)/10124 weeks
2685.04877 5.28043 (268*2π)/10124 weeks
2692.41327 7.6845 (269*2π)/10124 weeks
270-.44973 7.51456 (270*2π)/10124 weeks
271-2.24421 6.67028 (271*2π)/10124 weeks
272-4.26148 2.89296 (272*2π)/10124 weeks
273-6.85105 1.73765 (273*2π)/10124 weeks
274-5.38783 -.98693 (274*2π)/10124 weeks
275-5.66693 -2.99034 (275*2π)/10124 weeks
276-3.48988 -3.71423 (276*2π)/10124 weeks
277-1.81691 -3.12846 (277*2π)/10124 weeks
278-1.23176 -3.88025 (278*2π)/10124 weeks
279.57492 -3.37771 (279*2π)/10124 weeks
2802.51991 -4.52071 (280*2π)/10124 weeks
2813.01832 -3.92711 (281*2π)/10124 weeks
2825.70643 -1.50436 (282*2π)/10124 weeks
2835.06073 -1.29344 (283*2π)/10124 weeks
2847.3633 1.65189 (284*2π)/10124 weeks
2855.89864 3.9885 (285*2π)/10124 weeks
2863.62702 4.02092 (286*2π)/10124 weeks
2871.31293 4.56317 (287*2π)/10124 weeks
288-.71363 5.95224 (288*2π)/10124 weeks
289-1.08705 4.61829 (289*2π)/10124 weeks
290-4.67592 5.35862 (290*2π)/10123 weeks
291-5.7549 2.16259 (291*2π)/10123 weeks
292-7.69404 -.54829 (292*2π)/10123 weeks
293-6.38903 -5.53589 (293*2π)/10123 weeks
294-3.70109 -8.8771 (294*2π)/10123 weeks
295-.68248 -8.99927 (295*2π)/10123 weeks
2964.68658 -9.24696 (296*2π)/10123 weeks
2978.34781 -7.02636 (297*2π)/10123 weeks
2989.62833 -1.6442 (298*2π)/10123 weeks
2999.24192 1.50264 (299*2π)/10123 weeks
3006.80078 5.42802 (300*2π)/10123 weeks
3015.34931 6.68909 (301*2π)/10123 weeks
3023.66343 7.73317 (302*2π)/10123 weeks
3031.23782 8.64216 (303*2π)/10123 weeks
304-.86817 9.04065 (304*2π)/10123 weeks
305-2.75013 8.00938 (305*2π)/10123 weeks
306-5.72082 8.30845 (306*2π)/10123 weeks
307-7.23486 5.49041 (307*2π)/10123 weeks
308-9.59369 2.54116 (308*2π)/10123 weeks
309-9.03489 -.69514 (309*2π)/10123 weeks
310-8.53674 -6.40483 (310*2π)/10123 weeks
311-4.8556 -9.24645 (311*2π)/10123 weeks
312.5321 -11.37238 (312*2π)/10123 weeks
3135.44289 -9.81536 (313*2π)/10123 weeks
31410.64822 -7.35327 (314*2π)/10123 weeks
31513.68978 -2.97314 (315*2π)/10123 weeks
31612.77795 3.45894 (316*2π)/10123 weeks
3179.37118 8.61685 (317*2π)/10123 weeks
3185.28954 12.50566 (318*2π)/10123 weeks
319-.8082 12.95463 (319*2π)/10123 weeks
320-7.35371 10.25496 (320*2π)/10123 weeks
321-9.95 6.70862 (321*2π)/10123 weeks
322-12.4199 1.32969 (322*2π)/10123 weeks
323-11.41616 -3.62479 (323*2π)/10123 weeks
324-8.31319 -8.47195 (324*2π)/10123 weeks
325-5.95073 -9.56939 (325*2π)/10123 weeks
326-.08555 -11.02975 (326*2π)/10123 weeks
3273.32709 -9.93293 (327*2π)/10123 weeks
3287.34359 -7.08084 (328*2π)/10123 weeks
32910.05731 -5.66001 (329*2π)/10123 weeks
33010.16201 -1.13636 (330*2π)/10123 weeks
33110.68442 1.11924 (331*2π)/10123 weeks
3327.96026 4.31518 (332*2π)/10123 weeks
3336.26727 6.50341 (333*2π)/10123 weeks
3342.72452 7.73029 (334*2π)/10123 weeks
335.3355 8.44824 (335*2π)/10123 weeks
336-2.88571 7.79496 (336*2π)/10123 weeks
337-5.82643 5.41947 (337*2π)/10123 weeks
338-6.92542 2.67412 (338*2π)/10123 weeks
339-5.9848 .52468 (339*2π)/10123 weeks
340-5.47746 -1.70103 (340*2π)/10123 weeks
341-4.0869 -2.73701 (341*2π)/10123 weeks
342-1.9477 -4.66804 (342*2π)/10123 weeks
343-1.07275 -5.75441 (343*2π)/10123 weeks
3441.97867 -5.64746 (344*2π)/10123 weeks
3454.31598 -5.99061 (345*2π)/10123 weeks
3465.88181 -4.15163 (346*2π)/10123 weeks
3477.00562 -1.75854 (347*2π)/10123 weeks
3488.19905 1.4213 (348*2π)/10123 weeks
3497.60174 2.96429 (349*2π)/10123 weeks
3505.73488 6.36479 (350*2π)/10123 weeks
3514.2687 7.45017 (351*2π)/10123 weeks
352.10445 9.61691 (352*2π)/10123 weeks
353-3.1225 9.21736 (353*2π)/10123 weeks
354-5.66924 6.60571 (354*2π)/10123 weeks
355-8.47576 5.28897 (355*2π)/10123 weeks
356-8.77648 1.41187 (356*2π)/10123 weeks
357-9.60161 -1.48565 (357*2π)/10123 weeks
358-8.16551 -4.81614 (358*2π)/10123 weeks
359-5.61863 -8.59951 (359*2π)/10123 weeks
360-1.2895 -10.1187 (360*2π)/10123 weeks
3613.34641 -9.59144 (361*2π)/10123 weeks
3627.55655 -8.50872 (362*2π)/10123 weeks
36310.40724 -4.7362 (363*2π)/10123 weeks
36410.54669 -.89471 (364*2π)/10123 weeks
36510.19111 2.73833 (365*2π)/10123 weeks
3667.95883 5.72819 (366*2π)/10123 weeks
3675.22913 7.27942 (367*2π)/10123 weeks
3681.61946 8.43202 (368*2π)/10123 weeks
369-1.61598 7.97551 (369*2π)/10123 weeks
370-4.66835 5.47005 (370*2π)/10123 weeks
371-6.15561 3.92661 (371*2π)/10123 weeks
372-6.55178 1.24057 (372*2π)/10123 weeks
373-7.15388 -.25469 (373*2π)/10123 weeks
374-6.03964 -3.331 (374*2π)/10123 weeks
375-4.10702 -6.11509 (375*2π)/10123 weeks
376-.62206 -7.66513 (376*2π)/10123 weeks
3772.0055 -7.39648 (377*2π)/10123 weeks
3784.4002 -6.86036 (378*2π)/10123 weeks
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