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Fourier Analysis of AMEN (AMEN PROPERTIES INC)


AMEN (AMEN PROPERTIES INC) appears to have interesting cyclic behaviour every 93 weeks (72.1216*cosine), 102 weeks (63.0086*sine), and 79 weeks (60.7648*cosine).

AMEN (AMEN PROPERTIES INC) has an average price of 423.81 (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 4/17/2017 for AMEN (AMEN PROPERTIES INC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0423.813   0 
1301.5325 62.04499 (1*2π)/10211,021 weeks
2215.9189 173.2921 (2*2π)/1021511 weeks
3-44.06578 247.1438 (3*2π)/1021340 weeks
4-92.43766 177.8959 (4*2π)/1021255 weeks
5-152.7578 70.26298 (5*2π)/1021204 weeks
6-155.8388 21.65747 (6*2π)/1021170 weeks
7-98.72537 -87.28902 (7*2π)/1021146 weeks
8-46.91238 -80.25666 (8*2π)/1021128 weeks
926.86883 -105.7797 (9*2π)/1021113 weeks
1051.67828 -63.00859 (10*2π)/1021102 weeks
1172.12161 -23.35839 (11*2π)/102193 weeks
1254.35745 -14.40368 (12*2π)/102185 weeks
1360.76481 14.60798 (13*2π)/102179 weeks
1428.90006 25.74865 (14*2π)/102173 weeks
1532.2325 45.26224 (15*2π)/102168 weeks
162.77631 36.64848 (16*2π)/102164 weeks
17-18.22028 45.78812 (17*2π)/102160 weeks
18-24.34763 33.30815 (18*2π)/102157 weeks
19-45.01213 12.40427 (19*2π)/102154 weeks
20-29.87163 -7.10311 (20*2π)/102151 weeks
21-24.18193 -24.86061 (21*2π)/102149 weeks
22-7.91304 -21.35856 (22*2π)/102146 weeks
23-5.35246 -28.62614 (23*2π)/102144 weeks
248.60194 -28.29692 (24*2π)/102143 weeks
2514.62577 -18.33369 (25*2π)/102141 weeks
2627.01578 -12.65731 (26*2π)/102139 weeks
2726.92554 2.48289 (27*2π)/102138 weeks
287.52987 10.56517 (28*2π)/102136 weeks
297.20388 3.92739 (29*2π)/102135 weeks
3010.66327 -10.0121 (30*2π)/102134 weeks
3117.85638 -4.94519 (31*2π)/102133 weeks
3221.81088 -2.13423 (32*2π)/102132 weeks
3326.53766 8.62224 (33*2π)/102131 weeks
3418.26113 14.38304 (34*2π)/102130 weeks
3516.57385 20.45476 (35*2π)/102129 weeks
366.74331 27.07248 (36*2π)/102128 weeks
371.44964 24.19032 (37*2π)/102128 weeks
38-8.78203 21.55961 (38*2π)/102127 weeks
39-18.02884 17.40833 (39*2π)/102126 weeks
40-11.24807 12.02641 (40*2π)/102126 weeks
41-14.57341 5.74402 (41*2π)/102125 weeks
42-12.13371 -5.80714 (42*2π)/102124 weeks
43-13.18196 -5.07095 (43*2π)/102124 weeks
44-7.01358 -18.42206 (44*2π)/102123 weeks
453.99297 -18.82058 (45*2π)/102123 weeks
4610.94226 -18.55282 (46*2π)/102122 weeks
4719.58587 -13.08412 (47*2π)/102122 weeks
4826.57661 -5.13307 (48*2π)/102121 weeks
4924.61754 8.6481 (49*2π)/102121 weeks
5020.67702 19.48041 (50*2π)/102120 weeks
518.92166 28.12914 (51*2π)/102120 weeks
52-1.08376 24.31552 (52*2π)/102120 weeks
53-13.17865 21.50309 (53*2π)/102119 weeks
54-16.24517 17.58416 (54*2π)/102119 weeks
55-19.49193 5.21066 (55*2π)/102119 weeks
56-21.36614 .1903 (56*2π)/102118 weeks
57-16.57426 -12.92602 (57*2π)/102118 weeks
58-6.25213 -13.17713 (58*2π)/102118 weeks
59-1.06939 -15.16624 (59*2π)/102117 weeks
603.47726 -15.48408 (60*2π)/102117 weeks
618.64276 -10.93401 (61*2π)/102117 weeks
6217.10825 -10.51165 (62*2π)/102116 weeks
6326.38952 -.04386 (63*2π)/102116 weeks
6422.85977 9.02939 (64*2π)/102116 weeks
6517.42123 17.18197 (65*2π)/102116 weeks
6611.49374 22.26426 (66*2π)/102115 weeks
67-2.45108 16.18534 (67*2π)/102115 weeks
68-6.36445 15.96891 (68*2π)/102115 weeks
69-13.19551 6.57419 (69*2π)/102115 weeks
70-13.04155 -1.54628 (70*2π)/102115 weeks
71-9.43074 -6.4375 (71*2π)/102114 weeks
72-2.20367 -9.68432 (72*2π)/102114 weeks
737.2431 -8.85335 (73*2π)/102114 weeks
7412.75176 -1.57018 (74*2π)/102114 weeks
7515.5216 2.95897 (75*2π)/102114 weeks
7612.22236 11.81493 (76*2π)/102113 weeks
7710.98304 16.85261 (77*2π)/102113 weeks
78.2813 14.18045 (78*2π)/102113 weeks
79-4.73708 12.77123 (79*2π)/102113 weeks
80-7.51265 10.78868 (80*2π)/102113 weeks
81-6.07551 5.49947 (81*2π)/102113 weeks
82-9.08938 4.02467 (82*2π)/102112 weeks
83-6.2514 .77548 (83*2π)/102112 weeks
84-1.30452 -4.79149 (84*2π)/102112 weeks
851.42144 -1.67391 (85*2π)/102112 weeks
867.22482 .49067 (86*2π)/102112 weeks
873.96223 6.08862 (87*2π)/102112 weeks
881.9035 8.91445 (88*2π)/102112 weeks
89-3.20791 8.06181 (89*2π)/102111 weeks
90-3.4607 6.83133 (90*2π)/102111 weeks
91-7.34956 8.27041 (91*2π)/102111 weeks
92-10.09061 1.08312 (92*2π)/102111 weeks
93-10.7715 -2.45426 (93*2π)/102111 weeks
94-8.95833 -7.18709 (94*2π)/102111 weeks
95-2.21569 -10.6343 (95*2π)/102111 weeks
963.41053 -10.43587 (96*2π)/102111 weeks
975.9964 -9.02112 (97*2π)/102111 weeks
9811.40169 -4.83392 (98*2π)/102110 weeks
9911.72664 -.94955 (99*2π)/102110 weeks
10011.31182 4.81514 (100*2π)/102110 weeks
1017.86763 8.24761 (101*2π)/102110 weeks
1022.66937 10.97888 (102*2π)/102110 weeks
103-1.91484 10.48009 (103*2π)/102110 weeks
104-3.22665 9.7259 (104*2π)/102110 weeks
105-4.79011 7.81866 (105*2π)/102110 weeks
106-5.88392 4.1249 (106*2π)/102110 weeks
107-6.50902 1.29649 (107*2π)/102110 weeks
108-6.69278 -2.06242 (108*2π)/10219 weeks
109-3.8483 -2.78965 (109*2π)/10219 weeks
110-3.78915 -5.52968 (110*2π)/10219 weeks
111-.28457 -3.99036 (111*2π)/10219 weeks
1121.17919 -5.07306 (112*2π)/10219 weeks
1131.39055 -2.56116 (113*2π)/10219 weeks
1141.99384 -3.12368 (114*2π)/10219 weeks
115-.56794 -2.19288 (115*2π)/10219 weeks
1161.75724 -1.49154 (116*2π)/10219 weeks
1174.36579 -2.01562 (117*2π)/10219 weeks
1187.72192 1.79273 (118*2π)/10219 weeks
1195.28748 5.31663 (119*2π)/10219 weeks
1203.82947 7.68762 (120*2π)/10219 weeks
121-1.23793 5.16667 (121*2π)/10218 weeks
122-2.54686 5.55416 (122*2π)/10218 weeks
123-1.41306 1.67905 (123*2π)/10218 weeks
124-3.08164 1.80397 (124*2π)/10218 weeks
125-2.01755 1.8883 (125*2π)/10218 weeks
126-1.94073 -.19779 (126*2π)/10218 weeks
127-1.05954 -2.47507 (127*2π)/10218 weeks
128-1.83585 -.89259 (128*2π)/10218 weeks
129-.10115 -4.63292 (129*2π)/10218 weeks
130.34293 -4.86897 (130*2π)/10218 weeks
1316.58138 -2.58411 (131*2π)/10218 weeks
1329.07767 -1.93073 (132*2π)/10218 weeks
1338.20682 3.70075 (133*2π)/10218 weeks
1347.48265 6.07294 (134*2π)/10218 weeks
1354.42939 8.22297 (135*2π)/10218 weeks
136-1.75178 10.06175 (136*2π)/10218 weeks
137-3.54092 10.19286 (137*2π)/10217 weeks
138-7.9433 3.95192 (138*2π)/10217 weeks
139-6.1577 .71764 (139*2π)/10217 weeks
140-1.81655 -.40028 (140*2π)/10217 weeks
141.44113 .5476 (141*2π)/10217 weeks
142.69519 1.47966 (142*2π)/10217 weeks
143-1.42424 3.31143 (143*2π)/10217 weeks
144-2.84139 1.50536 (144*2π)/10217 weeks
145-4.43951 1.62265 (145*2π)/10217 weeks
146-1.70645 1.09835 (146*2π)/10217 weeks
147-3.35217 -3.37173 (147*2π)/10217 weeks
1481.79134 -2.29104 (148*2π)/10217 weeks
1495.24832 -3.34196 (149*2π)/10217 weeks
1507.66711 .01826 (150*2π)/10217 weeks
1516.19898 3.27705 (151*2π)/10217 weeks
1524.36175 5.58972 (152*2π)/10217 weeks
1531.38833 5.58145 (153*2π)/10217 weeks
154-2.61831 6.19812 (154*2π)/10217 weeks
155-1.50912 3.74116 (155*2π)/10217 weeks
156-5.77303 3.43948 (156*2π)/10217 weeks
157-5.96379 3.38495 (157*2π)/10217 weeks
158-5.98295 .47776 (158*2π)/10216 weeks
159-7.55413 -1.6693 (159*2π)/10216 weeks
160-5.6628 -3.64022 (160*2π)/10216 weeks
161-3.81248 -6.23914 (161*2π)/10216 weeks
162-1.79335 -8.11124 (162*2π)/10216 weeks
1632.58442 -6.99951 (163*2π)/10216 weeks
1645.29147 -7.70497 (164*2π)/10216 weeks
1656.9236 -3.77186 (165*2π)/10216 weeks
1667.9406 .16152 (166*2π)/10216 weeks
1676.40947 1.77012 (167*2π)/10216 weeks
1684.64551 4.34428 (168*2π)/10216 weeks
1692.48155 4.31328 (169*2π)/10216 weeks
1702.66973 4.17825 (170*2π)/10216 weeks
171.38345 4.6665 (171*2π)/10216 weeks
172-.87879 4.41446 (172*2π)/10216 weeks
173-2.22804 3.42295 (173*2π)/10216 weeks
174-2.98098 2.58771 (174*2π)/10216 weeks
175-3.03535 1.52635 (175*2π)/10216 weeks
176-3.03207 -.13824 (176*2π)/10216 weeks
177-2.28622 -1.36199 (177*2π)/10216 weeks
178-.95347 -1.76896 (178*2π)/10216 weeks
179-1.4468 .40239 (179*2π)/10216 weeks
180-.01769 -.4156 (180*2π)/10216 weeks
181.52516 .0796 (181*2π)/10216 weeks
1822.2934 -1.3625 (182*2π)/10216 weeks
1833.34112 -1.26212 (183*2π)/10216 weeks
1843.93438 .74903 (184*2π)/10216 weeks
1854.38371 .69861 (185*2π)/10216 weeks
1864.43275 3.4957 (186*2π)/10215 weeks
1873.0194 5.71982 (187*2π)/10215 weeks
188.87139 5.43011 (188*2π)/10215 weeks
189-3.30771 4.90795 (189*2π)/10215 weeks
190-4.3133 3.6333 (190*2π)/10215 weeks
191-4.85591 .23974 (191*2π)/10215 weeks
192-3.09259 -2.74294 (192*2π)/10215 weeks
193-2.2767 -2.55571 (193*2π)/10215 weeks
194.10977 -3.37702 (194*2π)/10215 weeks
195.06073 -2.86178 (195*2π)/10215 weeks
196.60076 -3.19064 (196*2π)/10215 weeks
197.47158 -3.14526 (197*2π)/10215 weeks
198.98073 -6.15385 (198*2π)/10215 weeks
1993.80621 -6.71879 (199*2π)/10215 weeks
2007.09631 -5.18865 (200*2π)/10215 weeks
20110.56318 -2.19967 (201*2π)/10215 weeks
20210.60318 6.09071 (202*2π)/10215 weeks
2039.07642 7.4228 (203*2π)/10215 weeks
2042.57598 9.57389 (204*2π)/10215 weeks
205-.7339 8.3904 (205*2π)/10215 weeks
206-3.06388 6.95263 (206*2π)/10215 weeks
207-7.37526 3.7507 (207*2π)/10215 weeks
208-6.7795 1.39712 (208*2π)/10215 weeks
209-4.56713 -1.31025 (209*2π)/10215 weeks
210-3.0645 -3.51373 (210*2π)/10215 weeks
211-2.77275 -2.24431 (211*2π)/10215 weeks
212-1.02204 -3.29432 (212*2π)/10215 weeks
213-.62126 -5.13217 (213*2π)/10215 weeks
2143.40053 -3.65651 (214*2π)/10215 weeks
2154.69606 -4.51928 (215*2π)/10215 weeks
2166.03252 -2.70232 (216*2π)/10215 weeks
2178.58931 -.44759 (217*2π)/10215 weeks
2186.77101 1.45834 (218*2π)/10215 weeks
2196.28954 5.48388 (219*2π)/10215 weeks
2202.90316 7.75399 (220*2π)/10215 weeks
221.77934 6.4696 (221*2π)/10215 weeks
222-2.58549 6.19853 (222*2π)/10215 weeks
223-2.93582 4.27739 (223*2π)/10215 weeks
224-3.53125 4.12803 (224*2π)/10215 weeks
225-4.19489 2.21987 (225*2π)/10215 weeks
226-4.06615 -.41895 (226*2π)/10215 weeks
227-2.78874 -1.28714 (227*2π)/10214 weeks
228-2.77153 -3.58462 (228*2π)/10214 weeks
229-1.90681 -3.34328 (229*2π)/10214 weeks
230.04187 -4.34514 (230*2π)/10214 weeks
2312.88852 -4.31023 (231*2π)/10214 weeks
2324.78389 -3.38184 (232*2π)/10214 weeks
2335.61297 -1.91283 (233*2π)/10214 weeks
2346.67233 -.01124 (234*2π)/10214 weeks
2355.38158 2.89789 (235*2π)/10214 weeks
2364.17054 2.06708 (236*2π)/10214 weeks
237.21725 4.10402 (237*2π)/10214 weeks
238.62962 2.34931 (238*2π)/10214 weeks
239-.98134 2.17213 (239*2π)/10214 weeks
240-.70125 1.25929 (240*2π)/10214 weeks
241-1.93505 2.85199 (241*2π)/10214 weeks
242-.38516 3.94331 (242*2π)/10214 weeks
243-2.55815 2.0038 (243*2π)/10214 weeks
244-2.45326 1.67121 (244*2π)/10214 weeks
245-3.03693 1.4144 (245*2π)/10214 weeks
246-3.10039 .05278 (246*2π)/10214 weeks
247-2.90167 -3.16502 (247*2π)/10214 weeks
248-1.6055 -1.97095 (248*2π)/10214 weeks
249.49237 -4.61253 (249*2π)/10214 weeks
2501.37481 -3.91277 (250*2π)/10214 weeks
2513.89169 -3.46278 (251*2π)/10214 weeks
2525.15614 -3.16808 (252*2π)/10214 weeks
2537.25879 .07856 (253*2π)/10214 weeks
2546.98148 3.08445 (254*2π)/10214 weeks
2555.74519 5.45627 (255*2π)/10214 weeks
2561.77309 8.44196 (256*2π)/10214 weeks
257-.67806 8.00112 (257*2π)/10214 weeks
258-4.31472 4.25707 (258*2π)/10214 weeks
259-6.30443 2.64923 (259*2π)/10214 weeks
260-4.55839 -.90837 (260*2π)/10214 weeks
261-5.66548 -2.77614 (261*2π)/10214 weeks
262-5.07156 -2.92312 (262*2π)/10214 weeks
263-3.02171 -4.89833 (263*2π)/10214 weeks
264-1.11317 -5.96374 (264*2π)/10214 weeks
2651.68078 -6.12255 (265*2π)/10214 weeks
2665.17476 -4.46886 (266*2π)/10214 weeks
2676.47812 -2.43978 (267*2π)/10214 weeks
2687.48667 -1.05875 (268*2π)/10214 weeks
2697.73481 1.59665 (269*2π)/10214 weeks
2704.97394 5.44251 (270*2π)/10214 weeks
2713.8624 7.11451 (271*2π)/10214 weeks
272.55947 7.30083 (272*2π)/10214 weeks
273-2.03215 6.27281 (273*2π)/10214 weeks
274-5.50081 5.13643 (274*2π)/10214 weeks
275-5.27616 4.48432 (275*2π)/10214 weeks
276-5.62237 .45446 (276*2π)/10214 weeks
277-4.91384 -.48794 (277*2π)/10214 weeks
278-2.85835 -3.02884 (278*2π)/10214 weeks
279-1.01414 -3.71293 (279*2π)/10214 weeks
280-.8321 -3.75523 (280*2π)/10214 weeks
281.60439 -4.70037 (281*2π)/10214 weeks
282.66962 -4.82329 (282*2π)/10214 weeks
2832.75611 -3.65948 (283*2π)/10214 weeks
2844.80654 -3.97192 (284*2π)/10214 weeks
2854.42344 -1.15436 (285*2π)/10214 weeks
2866.0485 -1.14742 (286*2π)/10214 weeks
2875.47475 2.71264 (287*2π)/10214 weeks
2883.36178 4.97454 (288*2π)/10214 weeks
2892.62403 5.72183 (289*2π)/10214 weeks
2901.6951 5.48684 (290*2π)/10214 weeks
291-1.316 4.79559 (291*2π)/10214 weeks
292-1.65718 5.64597 (292*2π)/10213 weeks
293-5.55259 3.63873 (293*2π)/10213 weeks
294-6.3003 1.83308 (294*2π)/10213 weeks
295-7.64407 -2.1187 (295*2π)/10213 weeks
296-5.11928 -5.60629 (296*2π)/10213 weeks
297-.91096 -8.13485 (297*2π)/10213 weeks
2981.6509 -9.51982 (298*2π)/10213 weeks
2996.41239 -7.84059 (299*2π)/10213 weeks
30010.38377 -4.84872 (300*2π)/10213 weeks
30110.15632 -.66556 (301*2π)/10213 weeks
3029.96067 2.4578 (302*2π)/10213 weeks
3036.75701 4.43685 (303*2π)/10213 weeks
3045.00074 5.87871 (304*2π)/10213 weeks
3053.27254 7.01089 (305*2π)/10213 weeks
306.81167 7.36712 (306*2π)/10213 weeks
307-1.76985 7.59434 (307*2π)/10213 weeks
308-3.15148 7.00173 (308*2π)/10213 weeks
309-6.93795 6.21524 (309*2π)/10213 weeks
310-8.17304 4.30481 (310*2π)/10213 weeks
311-10.02419 .64972 (311*2π)/10213 weeks
312-10.05698 -1.79342 (312*2π)/10213 weeks
313-7.85344 -7.20618 (313*2π)/10213 weeks
314-4.44085 -9.77796 (314*2π)/10213 weeks
3151.20492 -10.87161 (315*2π)/10213 weeks
3165.43342 -9.16967 (316*2π)/10213 weeks
31710.32203 -5.63324 (317*2π)/10213 weeks
31813.49889 -.77847 (318*2π)/10213 weeks
31912.25665 4.78686 (319*2π)/10213 weeks
3208.58807 9.03953 (320*2π)/10213 weeks
3213.97795 12.71798 (321*2π)/10213 weeks
322-1.64382 12.82709 (322*2π)/10213 weeks
323-7.41184 9.28156 (323*2π)/10213 weeks
324-10.00477 6.02428 (324*2π)/10213 weeks
325-11.8639 .46517 (325*2π)/10213 weeks
326-10.81184 -4.16513 (326*2π)/10213 weeks
327-7.2903 -8.55846 (327*2π)/10213 weeks
328-5.45856 -10.06171 (328*2π)/10213 weeks
329.19415 -10.71241 (329*2π)/10213 weeks
3303.39435 -9.72888 (330*2π)/10213 weeks
3316.91785 -6.59971 (331*2π)/10213 weeks
3329.91338 -5.0057 (332*2π)/10213 weeks
3339.75486 -.85628 (333*2π)/10213 weeks
33410.42813 1.4628 (334*2π)/10213 weeks
3357.73241 4.23703 (335*2π)/10213 weeks
3366.03967 6.36042 (336*2π)/10213 weeks
3372.59039 7.41522 (337*2π)/10213 weeks
338.23368 8.13903 (338*2π)/10213 weeks
339-2.87099 7.50137 (339*2π)/10213 weeks
340-5.70155 5.2134 (340*2π)/10213 weeks
341-6.7587 2.6007 (341*2π)/10213 weeks
342-5.82704 .52175 (342*2π)/10213 weeks
343-5.34719 -1.60884 (343*2π)/10213 weeks
344-3.93612 -2.65046 (344*2π)/10213 weeks
345-1.98082 -4.63336 (345*2π)/10213 weeks
346-1.18173 -5.55175 (346*2π)/10213 weeks
3471.81701 -5.65497 (347*2π)/10213 weeks
3483.82386 -6.01603 (348*2π)/10213 weeks
3495.43109 -4.12808 (349*2π)/10213 weeks
3506.69072 -1.79944 (350*2π)/10213 weeks
3518.0399 .95997 (351*2π)/10213 weeks
3527.14824 2.57686 (352*2π)/10213 weeks
3535.81288 6.03236 (353*2π)/10213 weeks
3544.11411 6.97884 (354*2π)/10213 weeks
355.66532 9.57986 (355*2π)/10213 weeks
356-2.4037 9.11078 (356*2π)/10213 weeks
357-5.36372 6.76742 (357*2π)/10213 weeks
358-7.50745 5.77659 (358*2π)/10213 weeks
359-8.41697 1.71557 (359*2π)/10213 weeks
360-9.03038 -.72061 (360*2π)/10213 weeks
361-7.80776 -4.34294 (361*2π)/10213 weeks
362-5.94902 -8.03354 (362*2π)/10213 weeks
363-1.82715 -10.03479 (363*2π)/10213 weeks
3642.64542 -10.25081 (364*2π)/10213 weeks
3656.1234 -9.51409 (365*2π)/10213 weeks
3669.21404 -6.1187 (366*2π)/10213 weeks
3679.72726 -1.96837 (367*2π)/10213 weeks
3689.56696 1.42134 (368*2π)/10213 weeks
3697.66134 4.76306 (369*2π)/10213 weeks
3704.9257 6.74475 (370*2π)/10213 weeks
3711.96782 8.41613 (371*2π)/10213 weeks
372-1.20638 8.21688 (372*2π)/10213 weeks
373-4.54954 6.77038 (373*2π)/10213 weeks
374-5.42109 4.98499 (374*2π)/10213 weeks
375-6.36292 2.28441 (375*2π)/10213 weeks
376-6.22626 .66957 (376*2π)/10213 weeks
377-6.20746 -2.7319 (377*2π)/10213 weeks
378-5.05492 -5.35787 (378*2π)/10213 weeks
379-2.3788 -7.33813 (379*2π)/10213 weeks
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910<