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# Fourier Analysis of NDRO (Enduro Royalty Trust)

NDRO (Enduro Royalty Trust) appears to have interesting cyclic behaviour every 34 weeks (.2425*sine), 34 weeks (.1802*cosine), and 24 weeks (.125*cosine).

NDRO (Enduro Royalty Trust) has an average price of 4.72 (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 11/3/2011 to 4/16/2018 for NDRO (Enduro Royalty Trust), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
04.72259   0
11.01784 3.1927 (1*2π)/338338 weeks
2.0112 .31909 (2*2π)/338169 weeks
3.17581 1.0126 (3*2π)/338113 weeks
4.01394 .16341 (4*2π)/33885 weeks
5.27655 .41549 (5*2π)/33868 weeks
6-.22245 .30711 (6*2π)/33856 weeks
7.20188 .15708 (7*2π)/33848 weeks
8-.15296 .34141 (8*2π)/33842 weeks
9.02159 .20994 (9*2π)/33838 weeks
10-.1802 .24255 (10*2π)/33834 weeks
11.00421 -.06093 (11*2π)/33831 weeks
12-.04785 .14145 (12*2π)/33828 weeks
13-.01344 .0055 (13*2π)/33826 weeks
14.12503 .0018 (14*2π)/33824 weeks
15.04902 .11998 (15*2π)/33823 weeks
16.07917 .05689 (16*2π)/33821 weeks
17.04237 .12222 (17*2π)/33820 weeks
18.03277 .14213 (18*2π)/33819 weeks
19-.02415 .08025 (19*2π)/33818 weeks
20-.02001 .10211 (20*2π)/33817 weeks
21-.00145 .05199 (21*2π)/33816 weeks
22.01203 .07077 (22*2π)/33815 weeks
23-.05933 .06235 (23*2π)/33815 weeks
24.00775 -.00662 (24*2π)/33814 weeks
25.05191 -.02153 (25*2π)/33814 weeks
26.05957 .07426 (26*2π)/33813 weeks
27.01399 .04518 (27*2π)/33813 weeks
28.03459 .03897 (28*2π)/33812 weeks
29-.01462 .08576 (29*2π)/33812 weeks
30-.02081 .05291 (30*2π)/33811 weeks
31-.0261 -.02112 (31*2π)/33811 weeks
32.06246 .05649 (32*2π)/33811 weeks
33-.00835 .01468 (33*2π)/33810 weeks
34.02182 -.0073 (34*2π)/33810 weeks
35.03582 .02338 (35*2π)/33810 weeks
36.03983 .04888 (36*2π)/3389 weeks
37.03319 .02636 (37*2π)/3389 weeks
38.03333 .02172 (38*2π)/3389 weeks
39.03112 .03141 (39*2π)/3389 weeks
40.02753 .01986 (40*2π)/3388 weeks
41.02924 .08221 (41*2π)/3388 weeks
42.04769 .04496 (42*2π)/3388 weeks
43.04036 .06858 (43*2π)/3388 weeks
44-.03347 .04648 (44*2π)/3388 weeks
45.03313 .01952 (45*2π)/3388 weeks
46.03647 .00584 (46*2π)/3387 weeks
47.04882 .03306 (47*2π)/3387 weeks
48.02022 .01807 (48*2π)/3387 weeks
49.05504 .02071 (49*2π)/3387 weeks
50-.01609 .03671 (50*2π)/3387 weeks
51.03895 .03539 (51*2π)/3387 weeks
52.03675 .00717 (52*2π)/3387 weeks
53.02009 .03799 (53*2π)/3386 weeks
54-.01034 .04886 (54*2π)/3386 weeks
55.018 .01285 (55*2π)/3386 weeks
56.00592 .04302 (56*2π)/3386 weeks
57-.00858 .02665 (57*2π)/3386 weeks
58.01673 .00209 (58*2π)/3386 weeks
59.02862 .01224 (59*2π)/3386 weeks
60.04579 .04357 (60*2π)/3386 weeks
61.00989 .04169 (61*2π)/3386 weeks
62.01266 -.00744 (62*2π)/3385 weeks
63.03445 .03708 (63*2π)/3385 weeks
64.0186 .03967 (64*2π)/3385 weeks
65.0161 .01266 (65*2π)/3385 weeks
66.03912 .04289 (66*2π)/3385 weeks
67.01556 .03547 (67*2π)/3385 weeks
68.02189 .02137 (68*2π)/3385 weeks
69.01588 .03457 (69*2π)/3385 weeks
70.00744 .02741 (70*2π)/3385 weeks
71.00695 -.00495 (71*2π)/3385 weeks
72.01415 .02286 (72*2π)/3385 weeks
73.03009 .00804 (73*2π)/3385 weeks
74.00921 .02943 (74*2π)/3385 weeks
75.0014 .02571 (75*2π)/3385 weeks
76.02873 .02405 (76*2π)/3384 weeks
77-.00006 .01452 (77*2π)/3384 weeks
78.02866 .02248 (78*2π)/3384 weeks
79.02001 .0206 (79*2π)/3384 weeks
80.00324 .02904 (80*2π)/3384 weeks
81.03139 .01656 (81*2π)/3384 weeks
82.0189 .00236 (82*2π)/3384 weeks
83.03041 .00879 (83*2π)/3384 weeks
84.01826 .01438 (84*2π)/3384 weeks
85.01844 .01378 (85*2π)/3384 weeks
86.02048 .02253 (86*2π)/3384 weeks
87.01802 .02294 (87*2π)/3384 weeks
88.01697 .02455 (88*2π)/3384 weeks
89.01706 .02215 (89*2π)/3384 weeks
90.02176 .01203 (90*2π)/3384 weeks
91.02595 .01621 (91*2π)/3384 weeks
92.00319 .01272 (92*2π)/3384 weeks
93.03391 -.00716 (93*2π)/3384 weeks
94.01802 .02772 (94*2π)/3384 weeks
95.01196 .00835 (95*2π)/3384 weeks
96.0117 .01992 (96*2π)/3384 weeks
97.01638 .00526 (97*2π)/3383 weeks
98.01535 .0183 (98*2π)/3383 weeks
99.0107 .01809 (99*2π)/3383 weeks
100.02452 .01968 (100*2π)/3383 weeks
101-.01288 .02411 (101*2π)/3383 weeks
102.00413 .01456 (102*2π)/3383 weeks
103.00249 -.0066 (103*2π)/3383 weeks
104.02413 -.00891 (104*2π)/3383 weeks
105.01504 .01563 (105*2π)/3383 weeks
106.00263 .00154 (106*2π)/3383 weeks
107.03628 .0008 (107*2π)/3383 weeks
108.02032 .01747 (108*2π)/3383 weeks
109.02996 .01463 (109*2π)/3383 weeks
110.01868 .02086 (110*2π)/3383 weeks
111.01138 .01897 (111*2π)/3383 weeks
112.01432 .01208 (112*2π)/3383 weeks
113.01449 .00066 (113*2π)/3383 weeks
114.00895 -.00839 (114*2π)/3383 weeks
115.02124 .00947 (115*2π)/3383 weeks
116.00889 .00199 (116*2π)/3383 weeks
117.02461 .00914 (117*2π)/3383 weeks
118.01521 .01732 (118*2π)/3383 weeks
119.01348 .01436 (119*2π)/3383 weeks
120.00873 .01504 (120*2π)/3383 weeks
121.01581 .00617 (121*2π)/3383 weeks
122.03458 .02508 (122*2π)/3383 weeks
123-.0065 .02352 (123*2π)/3383 weeks
124.01636 -.00642 (124*2π)/3383 weeks
125.00761 .02306 (125*2π)/3383 weeks
126.00086 -.011 (126*2π)/3383 weeks
127.02193 .00102 (127*2π)/3383 weeks
128.01281 -.00558 (128*2π)/3383 weeks
129.01522 .00481 (129*2π)/3383 weeks
130.00945 .01414 (130*2π)/3383 weeks
131.01702 .00283 (131*2π)/3383 weeks
132.00717 .00309 (132*2π)/3383 weeks
133.00414 .00745 (133*2π)/3383 weeks
134.01329 .00413 (134*2π)/3383 weeks
135.02228 .00387 (135*2π)/3383 weeks
136.00637 .00493 (136*2π)/3382 weeks
137.01194 -.02482 (137*2π)/3382 weeks
138.02401 -.01216 (138*2π)/3382 weeks
139.0398 .01126 (139*2π)/3382 weeks
140.02118 -.00148 (140*2π)/3382 weeks
141.02911 -.00681 (141*2π)/3382 weeks
142.01667 .00819 (142*2π)/3382 weeks
143.02255 .00973 (143*2π)/3382 weeks
144.0121 .01037 (144*2π)/3382 weeks
145.02238 .01099 (145*2π)/3382 weeks
146-.00242 .01201 (146*2π)/3382 weeks
147.0198 -.00648 (147*2π)/3382 weeks
148.01881 -.00049 (148*2π)/3382 weeks
149.03825 -.00232 (149*2π)/3382 weeks
150.01239 .01074 (150*2π)/3382 weeks
151.00462 -.00369 (151*2π)/3382 weeks
152.02789 .00694 (152*2π)/3382 weeks
153.02355 .01305 (153*2π)/3382 weeks
154.01085 .01456 (154*2π)/3382 weeks
155.02929 .01222 (155*2π)/3382 weeks
156.01165 .01932 (156*2π)/3382 weeks
157-.00569 .00265 (157*2π)/3382 weeks
158.01484 -.01022 (158*2π)/3382 weeks
159.03014 -.00868 (159*2π)/3382 weeks
160.02334 .00028 (160*2π)/3382 weeks
161.01717 -.00189 (161*2π)/3382 weeks
162.02086 -.00366 (162*2π)/3382 weeks
163.01836 .00321 (163*2π)/3382 weeks
164.00844 .00318 (164*2π)/3382 weeks
165.01546 -.0058 (165*2π)/3382 weeks
166.02161 .00689 (166*2π)/3382 weeks
167.00361 .01429 (167*2π)/3382 weeks
168.0104 .00139 (168*2π)/3382 weeks
169.00604   (169*2π)/3382 weeks
170.0104 -.00139 (170*2π)/3382 weeks
171.00361 -.01429 (171*2π)/3382 weeks
172.02161 -.00689 (172*2π)/3382 weeks
173.01546 .0058 (173*2π)/3382 weeks
174.00844 -.00318 (174*2π)/3382 weeks
175.01836 -.00321 (175*2π)/3382 weeks
176.02086 .00366 (176*2π)/3382 weeks
177.01717 .00189 (177*2π)/3382 weeks
178.02334 -.00028 (178*2π)/3382 weeks
179.03014 .00868 (179*2π)/3382 weeks
180.01484 .01022 (180*2π)/3382 weeks
181-.00569 -.00265 (181*2π)/3382 weeks
182.01165 -.01932 (182*2π)/3382 weeks
183.02929 -.01222 (183*2π)/3382 weeks
184.01085 -.01456 (184*2π)/3382 weeks
185.02355 -.01305 (185*2π)/3382 weeks
186.02789 -.00694 (186*2π)/3382 weeks
187.00462 .00369 (187*2π)/3382 weeks
188.01239 -.01074 (188*2π)/3382 weeks
189.03825 .00232 (189*2π)/3382 weeks
190.01881 .00049 (190*2π)/3382 weeks
191.0198 .00648 (191*2π)/3382 weeks
192-.00242 -.01201 (192*2π)/3382 weeks
193.02238 -.01099 (193*2π)/3382 weeks
194.0121 -.01037 (194*2π)/3382 weeks
195.02255 -.00973 (195*2π)/3382 weeks
196.01667 -.00819 (196*2π)/3382 weeks
197.02911 .00681 (197*2π)/3382 weeks
198.02118 .00148 (198*2π)/3382 weeks
199.0398 -.01126 (199*2π)/3382 weeks
200.02401 .01216 (200*2π)/3382 weeks
201.01194 .02482 (201*2π)/3382 weeks
202.00637 -.00493 (202*2π)/3382 weeks
203.02228 -.00387 (203*2π)/3382 weeks
204.01329 -.00413 (204*2π)/3382 weeks
205.00414 -.00745 (205*2π)/3382 weeks
206.00717 -.00309 (206*2π)/3382 weeks
207.01702 -.00283 (207*2π)/3382 weeks
208.00945 -.01414 (208*2π)/3382 weeks
209.01522 -.00481 (209*2π)/3382 weeks
210.01281 .00558 (210*2π)/3382 weeks
211.02193 -.00102 (211*2π)/3382 weeks
212.00086 .011 (212*2π)/3382 weeks
213.00761 -.02306 (213*2π)/3382 weeks
214.01636 .00642 (214*2π)/3382 weeks
215-.0065 -.02352 (215*2π)/3382 weeks
216.03458 -.02508 (216*2π)/3382 weeks
217.01581 -.00617 (217*2π)/3382 weeks
218.00873 -.01504 (218*2π)/3382 weeks
219.01348 -.01436 (219*2π)/3382 weeks
220.01521 -.01732 (220*2π)/3382 weeks
221.02461 -.00914 (221*2π)/3382 weeks
222.00889 -.00199 (222*2π)/3382 weeks
223.02124 -.00947 (223*2π)/3382 weeks
224.00895 .00839 (224*2π)/3382 weeks
225.01449 -.00066 (225*2π)/3382 weeks
226.01432 -.01208 (226*2π)/3381 weeks
227.01138 -.01897 (227*2π)/3381 weeks
228.01868 -.02086 (228*2π)/3381 weeks
229.02996 -.01463 (229*2π)/3381 weeks
230.02032 -.01747 (230*2π)/3381 weeks
231.03628 -.0008 (231*2π)/3381 weeks
232.00263 -.00154 (232*2π)/3381 weeks
233.01504 -.01563 (233*2π)/3381 weeks
234.02413 .00891 (234*2π)/3381 weeks
235.00249 .0066 (235*2π)/3381 weeks
236.00413 -.01456 (236*2π)/3381 weeks
237-.01288 -.02411 (237*2π)/3381 weeks
238.02452 -.01968 (238*2π)/3381 weeks
239.0107 -.01809 (239*2π)/3381 weeks
240.01535 -.0183 (240*2π)/3381 weeks
241.01638 -.00526 (241*2π)/3381 weeks
242.0117 -.01992 (242*2π)/3381 weeks
243.01196 -.00835 (243*2π)/3381 weeks
244.01802 -.02772 (244*2π)/3381 weeks
245.03391 .00716 (245*2π)/3381 weeks
246.00319 -.01272 (246*2π)/3381 weeks
247.02595 -.01621 (247*2π)/3381 weeks
248.02176 -.01203 (248*2π)/3381 weeks
249.01706 -.02215 (249*2π)/3381 weeks
250.01697 -.02455 (250*2π)/3381 weeks
251.01802 -.02294 (251*2π)/3381 weeks
252.02048 -.02253 (252*2π)/3381 weeks
253.01844 -.01378 (253*2π)/3381 weeks
254.01826 -.01438 (254*2π)/3381 weeks
255.03041 -.00879 (255*2π)/3381 weeks
256.0189 -.00236 (256*2π)/3381 weeks
257.03139 -.01656 (257*2π)/3381 weeks
258.00324 -.02904 (258*2π)/3381 weeks
259.02001 -.0206 (259*2π)/3381 weeks
260.02866 -.02248 (260*2π)/3381 weeks
261-.00006 -.01452 (261*2π)/3381 weeks
262.02873 -.02405 (262*2π)/3381 weeks
263.0014 -.02571 (263*2π)/3381 weeks
264.00921 -.02943 (264*2π)/3381 weeks
265.03009 -.00804 (265*2π)/3381 weeks
266.01415 -.02286 (266*2π)/3381 weeks
267.00695 .00495 (267*2π)/3381 weeks
268.00744 -.02741 (268*2π)/3381 weeks
269.01588 -.03457 (269*2π)/3381 weeks
270.02189 -.02137 (270*2π)/3381 weeks
271.01556 -.03547 (271*2π)/3381 weeks
272.03912 -.04289 (272*2π)/3381 weeks
273.0161 -.01266 (273*2π)/3381 weeks
274.0186 -.03967 (274*2π)/3381 weeks
275.03445 -.03708 (275*2π)/3381 weeks
276.01266 .00744 (276*2π)/3381 weeks
277.00989 -.04169 (277*2π)/3381 weeks
278.04579 -.04357 (278*2π)/3381 weeks
279.02862 -.01224 (279*2π)/3381 weeks
280.01673 -.00209 (280*2π)/3381 weeks
281-.00858 -.02665 (281*2π)/3381 weeks
282.00592 -.04302 (282*2π)/3381 weeks
283.018 -.01285 (283*2π)/3381 weeks
284-.01034 -.04886 (284*2π)/3381 weeks
285.02009 -.03799 (285*2π)/3381 weeks
286.03675 -.00717 (286*2π)/3381 weeks
287.03895 -.03539 (287*2π)/3381 weeks
288-.01609 -.03671 (288*2π)/3381 weeks
289.05504 -.02071 (289*2π)/3381 weeks
290.02022 -.01807 (290*2π)/3381 weeks
291.04882 -.03306 (291*2π)/3381 weeks
292.03647 -.00584 (292*2π)/3381 weeks
293.03313 -.01952 (293*2π)/3381 weeks
294-.03347 -.04648 (294*2π)/3381 weeks
295.04036 -.06858 (295*2π)/3381 weeks
296.04769 -.04496 (296*2π)/3381 weeks
297.02924 -.08221 (297*2π)/3381 weeks
298.02753 -.01986 (298*2π)/3381 weeks
299.03112 -.03141 (299*2π)/3381 weeks
300.03333 -.02172 (300*2π)/3381 weeks
301.03319 -.02636 (301*2π)/3381 weeks
302.03983 -.04888 (302*2π)/3381 weeks
303.03582 -.02338 (303*2π)/3381 weeks
304.02182 .0073 (304*2π)/3381 weeks
305-.00835 -.01468 (305*2π)/3381 weeks
306.06246 -.05649 (306*2π)/3381 weeks
307-.0261 .02112 (307*2π)/3381 weeks
308-.02081 -.05291 (308*2π)/3381 weeks
309-.01462 -.08576 (309*2π)/3381 weeks
310.03459 -.03897 (310*2π)/3381 weeks
311.01399 -.04518 (311*2π)/3381 weeks
312.05957 -.07426 (312*2π)/3381 weeks
313.05191 .02153 (313*2π)/3381 weeks
314.00775 .00662 (314*2π)/3381 weeks
315-.05933 -.06235 (315*2π)/3381 weeks
316.01203 -.07077 (316*2π)/3381 weeks
317-.00145 -.05199 (317*2π)/3381 weeks
318-.02001 -.10211 (318*2π)/3381 weeks
319-.02415 -.08025 (319*2π)/3381 weeks
320.03277 -.14213 (320*2π)/3381 weeks
321.04237 -.12222 (321*2π)/3381 weeks
322.07917 -.05689 (322*2π)/3381 weeks
323.04902 -.11998 (323*2π)/3381 weeks
324.12503 -.0018 (324*2π)/3381 weeks
325-.01344 -.0055 (325*2π)/3381 weeks
326-.04785 -.14145 (326*2π)/3381 weeks
327.00421 .06093 (327*2π)/3381 weeks
328-.1802 -.24255 (328*2π)/3381 weeks
329.02159 -.20994 (329*2π)/3381 weeks
330-.15296 -.34141 (330*2π)/3381 weeks
331.20188 -.15708 (331*2π)/3381 weeks
332-.22245 -.30711 (332*2π)/3381 weeks
333.27655 -.41549 (333*2π)/3381 weeks
334.01394 -.16341 (334*2π)/3381 weeks
335.17581 -1.0126 (335*2π)/3381 weeks
336.0112 -.31909 (336*2π)/3381 weeks