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Fourier Analysis of AMEN (AMEN PROPERTIES INC)


AMEN (AMEN PROPERTIES INC) appears to have interesting cyclic behaviour every 92 weeks (70.0756*cosine), 77 weeks (61.5668*cosine), and 53 weeks (45.3758*cosine).

AMEN (AMEN PROPERTIES INC) has an average price of 431.99 (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 1/9/2017 for AMEN (AMEN PROPERTIES INC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0431.9922   0 
1308.3893 70.23582 (1*2π)/10071,007 weeks
2222.3871 187.6884 (2*2π)/1007504 weeks
3-51.94217 246.7152 (3*2π)/1007336 weeks
4-103.6231 181.2257 (4*2π)/1007252 weeks
5-157.4561 64.84161 (5*2π)/1007201 weeks
6-168.3188 12.28288 (6*2π)/1007168 weeks
7-94.73396 -91.64177 (7*2π)/1007144 weeks
8-51.46567 -85.82819 (8*2π)/1007126 weeks
934.38274 -97.93445 (9*2π)/1007112 weeks
1055.36615 -59.0365 (10*2π)/1007101 weeks
1170.07556 -12.03343 (11*2π)/100792 weeks
1261.09385 -9.00409 (12*2π)/100784 weeks
1361.56684 25.43274 (13*2π)/100777 weeks
1433.61008 24.46338 (14*2π)/100772 weeks
1525.37944 53.14795 (15*2π)/100767 weeks
167.64616 39.48847 (16*2π)/100763 weeks
17-22.49904 38.647 (17*2π)/100759 weeks
18-31.12999 32.76486 (18*2π)/100756 weeks
19-45.37576 1.56422 (19*2π)/100753 weeks
20-32.69298 -8.75071 (20*2π)/100750 weeks
21-17.42849 -26.89153 (21*2π)/100748 weeks
22-9.01256 -20.65178 (22*2π)/100746 weeks
23.87294 -29.78709 (23*2π)/100744 weeks
2415.52723 -26.37067 (24*2π)/100742 weeks
2518.12067 -21.44696 (25*2π)/100740 weeks
2628.30334 -7.29899 (26*2π)/100739 weeks
2723.81205 9.82602 (27*2π)/100737 weeks
285.75437 2.69989 (28*2π)/100736 weeks
291.27328 -1.12558 (29*2π)/100735 weeks
3015.24253 -6.80493 (30*2π)/100734 weeks
3119.38936 -2.39696 (31*2π)/100732 weeks
3225.93883 2.24513 (32*2π)/100731 weeks
3323.66985 15.94223 (33*2π)/100731 weeks
3420.24723 17.70378 (34*2π)/100730 weeks
3515.25886 25.50626 (35*2π)/100729 weeks
363.02353 24.83795 (36*2π)/100728 weeks
37-3.59345 26.53615 (37*2π)/100727 weeks
38-9.56542 21.61154 (38*2π)/100727 weeks
39-12.98846 6.46683 (39*2π)/100726 weeks
40-16.88424 5.96291 (40*2π)/100725 weeks
41-19.81503 -2.11164 (41*2π)/100725 weeks
42-12.23183 -3.69008 (42*2π)/100724 weeks
43-14.95828 -14.78674 (43*2π)/100723 weeks
44-1.77712 -19.4397 (44*2π)/100723 weeks
455.97714 -17.54084 (45*2π)/100722 weeks
4616.35218 -14.30892 (46*2π)/100722 weeks
4723.61189 -6.98978 (47*2π)/100721 weeks
4827.31133 7.97041 (48*2π)/100721 weeks
4924.23793 18.02738 (49*2π)/100721 weeks
5014.83194 28.41602 (50*2π)/100720 weeks
51.30604 26.99098 (51*2π)/100720 weeks
52-9.5175 27.05567 (52*2π)/100719 weeks
53-13.04432 19.00777 (53*2π)/100719 weeks
54-20.90018 8.35447 (54*2π)/100719 weeks
55-20.19716 3.15992 (55*2π)/100718 weeks
56-18.95905 -10.43608 (56*2π)/100718 weeks
57-6.55782 -14.00506 (57*2π)/100718 weeks
58-2.09667 -15.47583 (58*2π)/100717 weeks
592.98265 -15.05042 (59*2π)/100717 weeks
6010.39325 -11.3292 (60*2π)/100717 weeks
6117.53975 -12.23938 (61*2π)/100717 weeks
6227.73769 -3.59211 (62*2π)/100716 weeks
6324.05451 7.44286 (63*2π)/100716 weeks
6419.02204 16.3355 (64*2π)/100716 weeks
6512.64222 21.1994 (65*2π)/100715 weeks
66-3.189 17.31885 (66*2π)/100715 weeks
67-6.3251 16.59765 (67*2π)/100715 weeks
68-14.10892 7.44759 (68*2π)/100715 weeks
69-13.93056 -1.017 (69*2π)/100715 weeks
70-9.95165 -6.29238 (70*2π)/100714 weeks
71-2.37591 -9.9395 (71*2π)/100714 weeks
727.46941 -9.19805 (72*2π)/100714 weeks
7313.08802 -1.58669 (73*2π)/100714 weeks
7416.02005 3.29721 (74*2π)/100714 weeks
7512.11588 12.29783 (75*2π)/100713 weeks
7610.52026 18.3382 (76*2π)/100713 weeks
77.38838 14.66743 (77*2π)/100713 weeks
78-5.00092 12.62245 (78*2π)/100713 weeks
79-8.42751 10.34713 (79*2π)/100713 weeks
80-6.22926 5.79679 (80*2π)/100713 weeks
81-9.6487 2.846 (81*2π)/100712 weeks
82-7.28376 .25574 (82*2π)/100712 weeks
83-.31998 -4.21918 (83*2π)/100712 weeks
841.4921 -1.90926 (84*2π)/100712 weeks
857.43603 2.70998 (85*2π)/100712 weeks
863.5926 6.69566 (86*2π)/100712 weeks
87.55319 9.93727 (87*2π)/100712 weeks
88-3.86446 7.72354 (88*2π)/100711 weeks
89-4.18361 7.57077 (89*2π)/100711 weeks
90-10.2097 7.72444 (90*2π)/100711 weeks
91-10.11779 1.0505 (91*2π)/100711 weeks
92-10.59801 -3.96821 (92*2π)/100711 weeks
93-8.24483 -9.50608 (93*2π)/100711 weeks
94-1.45283 -10.69932 (94*2π)/100711 weeks
954.25167 -8.88073 (95*2π)/100711 weeks
968.14125 -8.36532 (96*2π)/100710 weeks
9711.4865 -2.05524 (97*2π)/100710 weeks
9812.83084 2.04437 (98*2π)/100710 weeks
9910.7587 7.74428 (99*2π)/100710 weeks
1007.65271 10.9533 (100*2π)/100710 weeks
1012.23061 11.34912 (101*2π)/100710 weeks
102-1.67726 8.72411 (102*2π)/100710 weeks
103-4.89677 7.72167 (103*2π)/100710 weeks
104-7.63003 6.06966 (104*2π)/100710 weeks
105-7.90227 3.78817 (105*2π)/100710 weeks
106-7.84277 1.29844 (106*2π)/100710 weeks
107-5.50969 -2.30954 (107*2π)/10079 weeks
108-4.98446 -2.17593 (108*2π)/10079 weeks
109-.90038 -4.67835 (109*2π)/10079 weeks
110-.64957 -3.60433 (110*2π)/10079 weeks
1112.3717 -1.92373 (111*2π)/10079 weeks
1121.6045 -1.51394 (112*2π)/10079 weeks
1132.61985 .74063 (113*2π)/10079 weeks
1144.06689 -2.09547 (114*2π)/10079 weeks
1154.71227 -2.83409 (115*2π)/10079 weeks
1168.30828 -1.29367 (116*2π)/10079 weeks
1177.27133 4.07828 (117*2π)/10079 weeks
1185.18993 5.67501 (118*2π)/10079 weeks
119-.75649 7.1077 (119*2π)/10078 weeks
120-.61759 5.62876 (120*2π)/10078 weeks
121-2.77199 1.65319 (121*2π)/10078 weeks
122-2.34626 2.91253 (122*2π)/10078 weeks
123-1.24078 1.16414 (123*2π)/10078 weeks
124-2.48585 -.48567 (124*2π)/10078 weeks
125-2.45437 -2.10087 (125*2π)/10078 weeks
126-1.02235 -.39967 (126*2π)/10078 weeks
127-1.33949 -4.20126 (127*2π)/10078 weeks
128.57367 -3.51807 (128*2π)/10078 weeks
1297.1556 -4.26896 (129*2π)/10078 weeks
1308.1937 -3.04269 (130*2π)/10078 weeks
1319.01277 3.34075 (131*2π)/10078 weeks
1327.8068 5.58951 (132*2π)/10078 weeks
1334.62714 8.5229 (133*2π)/10078 weeks
134-.72962 11.56362 (134*2π)/10078 weeks
135-2.35499 10.53778 (135*2π)/10077 weeks
136-8.07711 5.06424 (136*2π)/10077 weeks
137-6.04535 1.25882 (137*2π)/10077 weeks
138-1.62172 -.64322 (138*2π)/10077 weeks
139.67214 .19279 (139*2π)/10077 weeks
140.81849 1.2791 (140*2π)/10077 weeks
141-1.20924 3.38049 (141*2π)/10077 weeks
142-2.82748 1.55102 (142*2π)/10077 weeks
143-4.40553 1.67636 (143*2π)/10077 weeks
144-1.66748 1.04709 (144*2π)/10077 weeks
145-3.33843 -3.66815 (145*2π)/10077 weeks
1461.76049 -2.3369 (146*2π)/10077 weeks
1475.57558 -3.14255 (147*2π)/10077 weeks
1488.01434 .59646 (148*2π)/10077 weeks
1496.4687 3.86963 (149*2π)/10077 weeks
1504.47569 6.34373 (150*2π)/10077 weeks
1511.79327 6.18534 (151*2π)/10077 weeks
152-2.7119 6.04865 (152*2π)/10077 weeks
153-1.0164 4.63783 (153*2π)/10077 weeks
154-5.16563 2.75246 (154*2π)/10077 weeks
155-6.42361 2.80105 (155*2π)/10076 weeks
156-5.92039 .4278 (156*2π)/10076 weeks
157-7.22893 -2.80888 (157*2π)/10076 weeks
158-5.76297 -4.37822 (158*2π)/10076 weeks
159-3.32688 -6.61648 (159*2π)/10076 weeks
160-.5252 -8.88852 (160*2π)/10076 weeks
1612.75267 -6.80987 (161*2π)/10076 weeks
1627.26806 -6.59782 (162*2π)/10076 weeks
1638.22225 -3.39386 (163*2π)/10076 weeks
1647.87582 1.03203 (164*2π)/10076 weeks
1657.09914 2.58252 (165*2π)/10076 weeks
1664.40021 4.4453 (166*2π)/10076 weeks
1672.57601 3.89594 (167*2π)/10076 weeks
1682.52668 5.14858 (168*2π)/10076 weeks
169.64002 4.6889 (169*2π)/10076 weeks
170-.80773 4.27785 (170*2π)/10076 weeks
171-1.67975 2.99104 (171*2π)/10076 weeks
172-2.44187 1.6485 (172*2π)/10076 weeks
173-2.80096 .63282 (173*2π)/10076 weeks
174-2.12726 -.86485 (174*2π)/10076 weeks
175-.70871 -1.91842 (175*2π)/10076 weeks
1761.45957 -1.57201 (176*2π)/10076 weeks
177-.12108 -2.6431 (177*2π)/10076 weeks
178.66711 -2.47689 (178*2π)/10076 weeks
179-.004 -3.03966 (179*2π)/10076 weeks
1801.68874 -2.2445 (180*2π)/10076 weeks
1813.57164 -1.08963 (181*2π)/10076 weeks
1822.96094 .01128 (182*2π)/10076 weeks
1834.55573 1.77512 (183*2π)/10076 weeks
1843.43396 4.00854 (184*2π)/10075 weeks
185.23857 5.25658 (185*2π)/10075 weeks
186-2.19617 6.48709 (186*2π)/10075 weeks
187-3.75459 3.63845 (187*2π)/10075 weeks
188-5.82829 .84969 (188*2π)/10075 weeks
189-5.2249 -2.33368 (189*2π)/10075 weeks
190-2.76964 -2.55762 (190*2π)/10075 weeks
191-1.58288 -4.2178 (191*2π)/10075 weeks
192-.71842 -2.94153 (192*2π)/10075 weeks
193-.38719 -3.30147 (193*2π)/10075 weeks
194-.06233 -3.14632 (194*2π)/10075 weeks
195-.79719 -5.12045 (195*2π)/10075 weeks
1962.47481 -6.12767 (196*2π)/10075 weeks
1976.42927 -5.23609 (197*2π)/10075 weeks
19810.07461 -2.872 (198*2π)/10075 weeks
19912.7344 4.38721 (199*2π)/10075 weeks
2008.81308 5.97916 (200*2π)/10075 weeks
2013.115 10.40455 (201*2π)/10075 weeks
202-.69962 9.14522 (202*2π)/10075 weeks
203-3.37664 7.62082 (203*2π)/10075 weeks
204-7.75023 5.67635 (204*2π)/10075 weeks
205-6.74136 2.35612 (205*2π)/10075 weeks
206-4.96369 -1.18547 (206*2π)/10075 weeks
207-3.84884 -3.27758 (207*2π)/10075 weeks
208-2.69217 -1.84123 (208*2π)/10075 weeks
209-1.10752 -3.36853 (209*2π)/10075 weeks
210-.90207 -4.93278 (210*2π)/10075 weeks
2113.54663 -4.0163 (211*2π)/10075 weeks
2124.50349 -4.76186 (212*2π)/10075 weeks
2136.03615 -2.78037 (213*2π)/10075 weeks
2148.6879 -.54835 (214*2π)/10075 weeks
2156.81471 1.61144 (215*2π)/10075 weeks
2166.35555 5.788 (216*2π)/10075 weeks
2172.76895 8.12205 (217*2π)/10075 weeks
218.64439 6.81929 (218*2π)/10075 weeks
219-2.92807 6.29638 (219*2π)/10075 weeks
220-3.26328 4.38097 (220*2π)/10075 weeks
221-4.14028 4.23345 (221*2π)/10075 weeks
222-4.77619 2.33773 (222*2π)/10075 weeks
223-4.35378 -.3512 (223*2π)/10075 weeks
224-3.15231 -.98116 (224*2π)/10074 weeks
225-2.4644 -3.61411 (225*2π)/10074 weeks
226-2.06462 -3.74431 (226*2π)/10074 weeks
227-.07875 -4.52601 (227*2π)/10074 weeks
2282.76483 -3.86955 (228*2π)/10074 weeks
2294.79781 -2.52131 (229*2π)/10074 weeks
2305.72259 -.99179 (230*2π)/10074 weeks
2316.75693 1.54108 (231*2π)/10074 weeks
2324.72544 4.276 (232*2π)/10074 weeks
2335.09928 4.24829 (233*2π)/10074 weeks
234.53621 3.77474 (234*2π)/10074 weeks
2351.31983 3.36575 (235*2π)/10074 weeks
236.12074 2.15855 (236*2π)/10074 weeks
2371.14716 1.53472 (237*2π)/10074 weeks
238-.88404 .95244 (238*2π)/10074 weeks
239-1.87723 3.53225 (239*2π)/10074 weeks
240-2.22199 1.34726 (240*2π)/10074 weeks
241-2.53269 .96994 (241*2π)/10074 weeks
242-3.67567 .1488 (242*2π)/10074 weeks
243-4.2138 -.91995 (243*2π)/10074 weeks
244-1.47394 -3.4648 (244*2π)/10074 weeks
245-2.42107 -3.85434 (245*2π)/10074 weeks
246.98398 -3.99081 (246*2π)/10074 weeks
2472.19384 -4.55989 (247*2π)/10074 weeks
2483.82554 -3.08205 (248*2π)/10074 weeks
2496.68477 -2.13161 (249*2π)/10074 weeks
2507.07928 1.45986 (250*2π)/10074 weeks
2516.00772 4.51882 (251*2π)/10074 weeks
2524.39062 7.82542 (252*2π)/10074 weeks
253-.39385 7.62754 (253*2π)/10074 weeks
254-5.04269 7.47456 (254*2π)/10074 weeks
255-5.49087 4.99217 (255*2π)/10074 weeks
256-6.69862 .63832 (256*2π)/10074 weeks
257-5.80275 .5411 (257*2π)/10074 weeks
258-3.68854 -1.57948 (258*2π)/10074 weeks
259-3.19746 -4.37591 (259*2π)/10074 weeks
260-1.29152 -5.53197 (260*2π)/10074 weeks
2611.45115 -6.43036 (261*2π)/10074 weeks
2624.83747 -6.16193 (262*2π)/10074 weeks
2636.27537 -3.73622 (263*2π)/10074 weeks
2646.76624 -1.83163 (264*2π)/10074 weeks
2657.51124 1.22589 (265*2π)/10074 weeks
2666.80209 5.78617 (266*2π)/10074 weeks
2675.02859 6.48958 (267*2π)/10074 weeks
2681.34527 7.75765 (268*2π)/10074 weeks
269-1.63583 7.24947 (269*2π)/10074 weeks
270-4.27794 6.98199 (270*2π)/10074 weeks
271-3.82224 4.42043 (271*2π)/10074 weeks
272-5.81503 .71872 (272*2π)/10074 weeks
273-4.51347 -.66202 (273*2π)/10074 weeks
274-3.42139 -3.7033 (274*2π)/10074 weeks
275-1.71033 -4.41523 (275*2π)/10074 weeks
276-1.27436 -3.96418 (276*2π)/10074 weeks
277-.13251 -4.98165 (277*2π)/10074 weeks
278.22684 -4.5038 (278*2π)/10074 weeks
2792.82043 -3.82288 (279*2π)/10074 weeks
2804.41588 -4.26335 (280*2π)/10074 weeks
2814.64679 -1.01405 (281*2π)/10074 weeks
2825.93838 -1.22276 (282*2π)/10074 weeks
2835.80817 2.91749 (283*2π)/10074 weeks
2843.77197 5.32386 (284*2π)/10074 weeks
2852.93684 5.91912 (285*2π)/10074 weeks
2861.80693 5.64782 (286*2π)/10074 weeks
287-1.3642 5.04942 (287*2π)/10074 weeks
288-1.74007 5.92273 (288*2π)/10073 weeks
289-5.78043 3.76553 (289*2π)/10073 weeks
290-6.64318 1.89975 (290*2π)/10073 weeks
291-7.9588 -2.36486 (291*2π)/10073 weeks
292-5.34473 -5.83482 (292*2π)/10073 weeks
293-.79643 -8.0582 (293*2π)/10073 weeks
2942.20962 -9.68321 (294*2π)/10073 weeks
2956.87745 -7.60395 (295*2π)/10073 weeks
29610.9541 -3.83856 (296*2π)/10073 weeks
29710.57473 .21568 (297*2π)/10073 weeks
29810.32779 3.84587 (298*2π)/10073 weeks
2997.36956 5.18911 (299*2π)/10073 weeks
3005.43836 6.53633 (300*2π)/10073 weeks
3013.53423 7.74619 (301*2π)/10073 weeks
3021.20985 7.86422 (302*2π)/10073 weeks
303-1.60088 7.56569 (303*2π)/10073 weeks
304-3.04078 7.43049 (304*2π)/10073 weeks
305-6.76349 5.19909 (305*2π)/10073 weeks
306-8.55377 3.39364 (306*2π)/10073 weeks
307-9.46694 -.99168 (307*2π)/10073 weeks
308-10.4422 -4.30333 (308*2π)/10073 weeks
309-6.8188 -8.82121 (309*2π)/10073 weeks
310-2.88354 -11.69764 (310*2π)/10073 weeks
3112.97085 -11.4846 (311*2π)/10073 weeks
3127.19846 -9.97663 (312*2π)/10073 weeks
31310.76782 -5.27438 (313*2π)/10073 weeks
31412.69737 1.67657 (314*2π)/10073 weeks
31510.93761 7.40291 (315*2π)/10073 weeks
3167.30792 10.95555 (316*2π)/10073 weeks
317.99054 13.3499 (317*2π)/10073 weeks
318-5.30408 12.91406 (318*2π)/10073 weeks
319-8.8778 8.41053 (319*2π)/10073 weeks
320-12.00369 4.40173 (320*2π)/10073 weeks
321-11.85658 -1.4196 (321*2π)/10073 weeks
322-10.16142 -6.34839 (322*2π)/10073 weeks
323-5.70078 -8.19054 (323*2π)/10073 weeks
324-1.83282 -11.75914 (324*2π)/10073 weeks
3252.46941 -10.59403 (325*2π)/10073 weeks
3266.57151 -9.52909 (326*2π)/10073 weeks
3277.83125 -7.27057 (327*2π)/10073 weeks
32810.06279 -2.53783 (328*2π)/10073 weeks
3299.42268 -.11075 (329*2π)/10073 weeks
3308.43364 4.52574 (330*2π)/10073 weeks
3316.84003 6.33842 (331*2π)/10073 weeks
3324.01035 8.56796 (332*2π)/10073 weeks
3331.75696 8.7183 (333*2π)/10073 weeks
334-1.52547 8.595 (334*2π)/10073 weeks
335-4.67979 6.98371 (335*2π)/10073 weeks
336-5.93487 4.02157 (336*2π)/10073 weeks
337-5.49075 .79615 (337*2π)/10073 weeks
338-5.32516 -1.21563 (338*2π)/10073 weeks
339-3.80701 -3.02068 (339*2π)/10073 weeks
340-2.90481 -5.14463 (340*2π)/10073 weeks
341-1.70057 -5.36068 (341*2π)/10073 weeks
3421.23911 -6.41777 (342*2π)/10073 weeks
3432.78777 -6.31304 (343*2π)/10073 weeks
3445.21895 -4.27847 (344*2π)/10073 weeks
3456.98664 -2.10692 (345*2π)/10073 weeks
3468.42245 .12829 (346*2π)/10073 weeks
3477.18895 2.46219 (347*2π)/10073 weeks
3486.60654 6.00453 (348*2π)/10073 weeks
3494.40947 7.09634 (349*2π)/10073 weeks
3501.5924 10.05192 (350*2π)/10073 weeks
351-1.82873 9.47255 (351*2π)/10073 weeks
352-5.29115 7.31233 (352*2π)/10073 weeks
353-7.19841 6.22485 (353*2π)/10073 weeks
354-8.61822 1.94128 (354*2π)/10073 weeks
355-9.14839 -.52819 (355*2π)/10073 weeks
356-8.02977 -4.43336 (356*2π)/10073 weeks
357-6.2156 -8.23869 (357*2π)/10073 weeks
358-1.9195 -10.39607 (358*2π)/10073 weeks
3592.76267 -10.62549 (359*2π)/10073 weeks
3606.44814 -9.79967 (360*2π)/10073 weeks
3619.71319 -6.20598 (361*2π)/10073 weeks
36210.23146 -1.89746 (362*2π)/10073 weeks
36310.06775 1.67392 (363*2π)/10073 weeks
3648.02178 5.0657 (364*2π)/10073 weeks
3655.17374 6.98178 (365*2π)/10073 weeks
3661.88885 8.58408 (366*2π)/10073 weeks
367-1.40194 8.26981 (367*2π)/10073 weeks
368-4.83592 6.34433 (368*2π)/10073 weeks
369-5.95014 4.70537 (369*2π)/10073 weeks
370-6.64994 1.88456 (370*2π)/10073 weeks
371-6.81877 .39353 (371*2π)/10073 weeks
372-6.12823 -3.05558 (372*2π)/10073 weeks
373-4.54351 -5.92338 (373*2π)/10073 weeks
374-1.33652 -7.80309 (374*2π)/10073 weeks
3751.38674 -7.47415 (375*2π)/10073 weeks
3763.72451 -6.79261 (376*2π)/10073 weeks
3776.29856 -3.57549 (377*2π)/10073 weeks
3787.63854 -2.03357 (378*2π)/10073 weeks
3798.08818 .90408 (379*2π)/10073 weeks
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