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Fourier Analysis of AMEN (AMEN PROPERTIES INC)


AMEN (AMEN PROPERTIES INC) appears to have interesting cyclic behaviour every 92 weeks (71.7815*cosine), 102 weeks (61.4624*sine), and 78 weeks (61.1867*cosine).

AMEN (AMEN PROPERTIES INC) has an average price of 423.59 (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 3/20/2017 for AMEN (AMEN PROPERTIES INC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0423.588   0 
1301.6977 63.9641 (1*2π)/10171,017 weeks
2216.5179 176.2152 (2*2π)/1017509 weeks
3-46.08871 245.6019 (3*2π)/1017339 weeks
4-94.95528 177.8927 (4*2π)/1017254 weeks
5-153.2322 68.34945 (5*2π)/1017203 weeks
6-158.4695 19.27099 (6*2π)/1017170 weeks
7-96.9335 -87.9552 (7*2π)/1017145 weeks
8-47.86542 -80.8783 (8*2π)/1017127 weeks
929.33664 -102.9561 (9*2π)/1017113 weeks
1052.61783 -61.46236 (10*2π)/1017102 weeks
1171.78149 -19.86723 (11*2π)/101792 weeks
1256.26156 -13.20365 (12*2π)/101785 weeks
1361.1867 17.27446 (13*2π)/101778 weeks
1429.78137 24.729 (14*2π)/101773 weeks
1530.59385 47.38218 (15*2π)/101768 weeks
164.22704 36.32061 (16*2π)/101764 weeks
17-20.03179 43.49814 (17*2π)/101760 weeks
18-25.97482 33.21851 (18*2π)/101757 weeks
19-45.4349 9.31285 (19*2π)/101754 weeks
20-30.14186 -7.04379 (20*2π)/101751 weeks
21-22.03097 -25.70227 (21*2π)/101748 weeks
22-7.84028 -20.76746 (22*2π)/101746 weeks
23-3.45237 -29.26798 (23*2π)/101744 weeks
2410.5155 -28.20106 (24*2π)/101742 weeks
2514.77536 -19.12044 (25*2π)/101741 weeks
2627.39416 -10.90099 (26*2π)/101739 weeks
2726.40999 4.4793 (27*2π)/101738 weeks
285.80427 8.35089 (28*2π)/101736 weeks
295.28304 3.84628 (29*2π)/101735 weeks
3012.72475 -9.15769 (30*2π)/101734 weeks
3118.59304 -4.09303 (31*2π)/101733 weeks
3223.19814 -1.24693 (32*2π)/101732 weeks
3326.44124 10.8156 (33*2π)/101731 weeks
3418.90022 14.40839 (34*2π)/101730 weeks
3516.34138 21.18783 (35*2π)/101729 weeks
364.95754 26.28697 (36*2π)/101728 weeks
37.59859 24.79821 (37*2π)/101727 weeks
38-8.78947 20.25022 (38*2π)/101727 weeks
39-19.12578 13.04572 (39*2π)/101726 weeks
40-14.20025 11.97653 (40*2π)/101725 weeks
41-16.62047 5.63265 (41*2π)/101725 weeks
42-10.76757 -4.61387 (42*2π)/101724 weeks
43-14.39641 -6.35524 (43*2π)/101724 weeks
44-4.67501 -17.98205 (44*2π)/101723 weeks
455.60836 -17.22982 (45*2π)/101723 weeks
4613.7541 -17.14793 (46*2π)/101722 weeks
4721.827 -11.08006 (47*2π)/101722 weeks
4829.13619 -1.72801 (48*2π)/101721 weeks
4925.57033 10.09802 (49*2π)/101721 weeks
5020.10188 21.15447 (50*2π)/101720 weeks
516.28494 27.87378 (51*2π)/101720 weeks
52-1.35532 24.69181 (52*2π)/101720 weeks
53-12.95069 18.06916 (53*2π)/101719 weeks
54-18.66619 15.1235 (54*2π)/101719 weeks
55-18.26162 3.73232 (55*2π)/101718 weeks
56-21.50786 -3.52947 (56*2π)/101718 weeks
57-13.30787 -15.41183 (57*2π)/101718 weeks
58-5.74054 -14.13718 (58*2π)/101718 weeks
59.53635 -15.54237 (59*2π)/101717 weeks
606.17236 -16.73358 (60*2π)/101717 weeks
618.66516 -13.55062 (61*2π)/101717 weeks
6217.82147 -10.66357 (62*2π)/101716 weeks
6323.70905 3.4645 (63*2π)/101716 weeks
6420.75624 11.673 (64*2π)/101716 weeks
6513.92007 18.86858 (65*2π)/101716 weeks
665.94697 25.92652 (66*2π)/101715 weeks
67-1.62516 16.79057 (67*2π)/101715 weeks
68-8.57877 16.08561 (68*2π)/101715 weeks
69-11.60921 5.48713 (69*2π)/101715 weeks
70-9.71629 -3.3658 (70*2π)/101715 weeks
71-6.12915 -9.29389 (71*2π)/101714 weeks
72.82359 -11.90616 (72*2π)/101714 weeks
739.62231 -8.86287 (73*2π)/101714 weeks
7412.19433 -1.41585 (74*2π)/101714 weeks
7515.44231 5.23944 (75*2π)/101714 weeks
769.91247 11.22647 (76*2π)/101713 weeks
775.36589 19.69232 (77*2π)/101713 weeks
78-.02882 15.01889 (78*2π)/101713 weeks
79-4.57586 11.45338 (79*2π)/101713 weeks
80-8.61992 8.0037 (80*2π)/101713 weeks
81-6.16648 5.90009 (81*2π)/101713 weeks
82-8.65118 .90135 (82*2π)/101712 weeks
83-7.53771 -1.42454 (83*2π)/101712 weeks
84.37285 -3.25702 (84*2π)/101712 weeks
851.9221 -2.26866 (85*2π)/101712 weeks
866.55538 4.12861 (86*2π)/101712 weeks
873.19592 6.8024 (87*2π)/101712 weeks
88-.45116 9.78269 (88*2π)/101712 weeks
89-3.88808 7.16558 (89*2π)/101711 weeks
90-4.40894 7.53737 (90*2π)/101711 weeks
91-10.81099 6.65545 (91*2π)/101711 weeks
92-10.00074 1.0078 (92*2π)/101711 weeks
93-10.08645 -4.14301 (93*2π)/101711 weeks
94-7.49509 -9.68269 (94*2π)/101711 weeks
95-1.2095 -10.44011 (95*2π)/101711 weeks
964.0897 -8.37886 (96*2π)/101711 weeks
978.13555 -7.88535 (97*2π)/101710 weeks
9811.02392 -1.74221 (98*2π)/101710 weeks
9912.40719 2.27621 (99*2π)/101710 weeks
10010.35732 7.69378 (100*2π)/101710 weeks
1017.40999 10.75569 (101*2π)/101710 weeks
1022.20473 11.07746 (102*2π)/101710 weeks
103-1.63361 8.54607 (103*2π)/101710 weeks
104-4.74295 7.68796 (104*2π)/101710 weeks
105-7.30058 6.2488 (105*2π)/101710 weeks
106-7.46249 4.01299 (106*2π)/101710 weeks
107-7.33014 1.58046 (107*2π)/101710 weeks
108-5.34264 -2.07803 (108*2π)/10179 weeks
109-4.43619 -1.79591 (109*2π)/10179 weeks
110-.96461 -4.72291 (110*2π)/10179 weeks
111-.38889 -3.21521 (111*2π)/10179 weeks
1122.78944 -2.26327 (112*2π)/10179 weeks
1132.01743 -1.48332 (113*2π)/10179 weeks
1143.6563 -.03199 (114*2π)/10179 weeks
1153.64913 -3.11985 (115*2π)/10179 weeks
1163.8994 -3.22851 (116*2π)/10179 weeks
1177.11962 -2.28483 (117*2π)/10179 weeks
1187.22838 3.21662 (118*2π)/10179 weeks
1194.77991 4.99031 (119*2π)/10179 weeks
120.22997 7.82705 (120*2π)/10178 weeks
121-.25711 4.9321 (121*2π)/10178 weeks
122-3.48897 2.57982 (122*2π)/10178 weeks
123-1.48335 2.93323 (123*2π)/10178 weeks
124-1.63089 .58231 (124*2π)/10178 weeks
125-3.03747 .25 (125*2π)/10178 weeks
126-2.74756 -.76074 (126*2π)/10178 weeks
127-.0309 -.61831 (127*2π)/10178 weeks
128-1.93123 -2.80436 (128*2π)/10178 weeks
1291.57727 -3.16196 (129*2π)/10178 weeks
1305.23353 -6.36249 (130*2π)/10178 weeks
1316.19135 -2.84826 (131*2π)/10178 weeks
1329.70312 2.05868 (132*2π)/10178 weeks
1337.6847 4.8237 (133*2π)/10178 weeks
1345.84299 8.56239 (134*2π)/10178 weeks
1353.26093 11.52261 (135*2π)/10178 weeks
136-.44808 8.6477 (136*2π)/10177 weeks
137-6.62493 7.47284 (137*2π)/10177 weeks
138-5.36248 1.49633 (138*2π)/10177 weeks
139-2.79457 -2.15641 (139*2π)/10177 weeks
140-.4687 -1.39934 (140*2π)/10177 weeks
141.12656 .58741 (141*2π)/10177 weeks
142.22716 2.89259 (142*2π)/10177 weeks
143-2.20975 2.33218 (143*2π)/10177 weeks
144-1.68022 1.66407 (144*2π)/10177 weeks
145-1.7004 -2.07434 (145*2π)/10177 weeks
146-4.11532 -1.83651 (146*2π)/10177 weeks
147.78466 -5.79659 (147*2π)/10177 weeks
1481.51487 -5.50242 (148*2π)/10177 weeks
1495.08237 -2.6067 (149*2π)/10177 weeks
1505.16008 2.16101 (150*2π)/10177 weeks
1513.73691 4.7777 (151*2π)/10177 weeks
152.64716 6.61896 (152*2π)/10177 weeks
153-1.11865 7.76857 (153*2π)/10177 weeks
154-3.36371 4.20457 (154*2π)/10177 weeks
155-4.38428 6.54227 (155*2π)/10177 weeks
156-4.26216 3.69401 (156*2π)/10177 weeks
157-6.40158 1.18052 (157*2π)/10176 weeks
158-6.87783 .28329 (158*2π)/10176 weeks
159-5.69638 -3.4089 (159*2π)/10176 weeks
160-4.95353 -5.67365 (160*2π)/10176 weeks
161-2.85179 -7.03371 (161*2π)/10176 weeks
1621.61155 -8.23114 (162*2π)/10176 weeks
1632.88494 -7.45559 (163*2π)/10176 weeks
1646.99411 -4.10417 (164*2π)/10176 weeks
1658.45451 -1.32585 (165*2π)/10176 weeks
1666.64681 1.68379 (166*2π)/10176 weeks
1676.00803 4.01506 (167*2π)/10176 weeks
1683.41648 4.61545 (168*2π)/10176 weeks
1692.60459 3.75337 (169*2π)/10176 weeks
1701.14945 5.31232 (170*2π)/10176 weeks
171-.10101 4.87753 (171*2π)/10176 weeks
172-1.53533 4.24242 (172*2π)/10176 weeks
173-2.088 3.24851 (173*2π)/10176 weeks
174-2.37848 1.83414 (174*2π)/10176 weeks
175-2.78552 .48723 (175*2π)/10176 weeks
176-2.08727 -.71048 (176*2π)/10176 weeks
177-.64743 -1.28505 (177*2π)/10176 weeks
1781.0101 .3811 (178*2π)/10176 weeks
1791.08267 -1.52794 (179*2π)/10176 weeks
1801.75407 -1.4481 (180*2π)/10176 weeks
1811.74767 -3.0584 (181*2π)/10176 weeks
1822.66198 -2.38996 (182*2π)/10176 weeks
1834.08257 -.67428 (183*2π)/10176 weeks
1843.61517 -.26209 (184*2π)/10176 weeks
1854.68732 2.15771 (185*2π)/10175 weeks
1863.54308 4.22859 (186*2π)/10175 weeks
187.4919 4.64438 (187*2π)/10175 weeks
188-2.76158 5.66358 (188*2π)/10175 weeks
189-3.68405 3.42999 (189*2π)/10175 weeks
190-5.2724 .27289 (190*2π)/10175 weeks
191-4.42124 -2.8522 (191*2π)/10175 weeks
192-2.53447 -2.69111 (192*2π)/10175 weeks
193-.95358 -4.24514 (193*2π)/10175 weeks
194-.51247 -3.12881 (194*2π)/10175 weeks
195-.14251 -3.47637 (195*2π)/10175 weeks
196.05146 -3.30978 (196*2π)/10175 weeks
197-.50831 -5.50833 (197*2π)/10175 weeks
1982.56556 -6.27809 (198*2π)/10175 weeks
1996.32145 -5.22499 (199*2π)/10175 weeks
2009.85384 -2.83294 (200*2π)/10175 weeks
20112.22903 4.36526 (201*2π)/10175 weeks
2028.62049 5.72602 (202*2π)/10175 weeks
2033.02457 9.93331 (203*2π)/10175 weeks
204-.64625 8.74298 (204*2π)/10175 weeks
205-3.24272 7.30114 (205*2π)/10175 weeks
206-7.40156 5.628 (206*2π)/10175 weeks
207-6.37425 2.27655 (207*2π)/10175 weeks
208-4.83585 -1.27578 (208*2π)/10175 weeks
209-3.89124 -3.1555 (209*2π)/10175 weeks
210-2.32559 -1.79933 (210*2π)/10175 weeks
211-1.0134 -3.5061 (211*2π)/10175 weeks
212-.90923 -4.67849 (212*2π)/10175 weeks
2133.53789 -4.60411 (213*2π)/10175 weeks
2143.88131 -5.00313 (214*2π)/10175 weeks
2155.66765 -3.03947 (215*2π)/10175 weeks
2168.01757 -1.44554 (216*2π)/10175 weeks
2176.21818 1.60017 (217*2π)/10175 weeks
2186.59637 5.25849 (218*2π)/10175 weeks
2193.54492 7.77143 (219*2π)/10175 weeks
220.72749 6.50176 (220*2π)/10175 weeks
221-2.23594 6.80192 (221*2π)/10175 weeks
222-2.82297 4.5209 (222*2π)/10175 weeks
223-3.10709 4.16384 (223*2π)/10175 weeks
224-4.05981 2.16617 (224*2π)/10175 weeks
225-4.31668 -.42099 (225*2π)/10175 weeks
226-3.00144 -1.53645 (226*2π)/10175 weeks
227-3.36052 -3.40253 (227*2π)/10174 weeks
228-1.96786 -3.13581 (228*2π)/10174 weeks
229-.10251 -4.3946 (229*2π)/10174 weeks
2302.65733 -4.69224 (230*2π)/10174 weeks
2314.46576 -3.81937 (231*2π)/10174 weeks
2325.30482 -2.24559 (232*2π)/10174 weeks
2336.33789 -.44696 (233*2π)/10174 weeks
2345.28019 2.59154 (234*2π)/10174 weeks
2353.52387 1.92013 (235*2π)/10174 weeks
236.12787 4.55614 (236*2π)/10174 weeks
237.27621 2.45901 (237*2π)/10174 weeks
238-1.24134 2.55289 (238*2π)/10174 weeks
239-1.01298 1.60741 (239*2π)/10174 weeks
240-1.82515 3.35766 (240*2π)/10174 weeks
241-.14177 3.93268 (241*2π)/10174 weeks
242-2.61712 2.19825 (242*2π)/10174 weeks
243-2.44032 1.80139 (243*2π)/10174 weeks
244-2.97035 1.53024 (244*2π)/10174 weeks
245-3.08698 .09244 (245*2π)/10174 weeks
246-3.08877 -3.06134 (246*2π)/10174 weeks
247-1.56255 -1.91542 (247*2π)/10174 weeks
248.34891 -4.64463 (248*2π)/10174 weeks
2491.30185 -3.87172 (249*2π)/10174 weeks
2503.832 -3.48465 (250*2π)/10174 weeks
2515.07081 -3.15589 (251*2π)/10174 weeks
2527.23032 .08462 (252*2π)/10174 weeks
2536.9556 3.11853 (253*2π)/10174 weeks
2545.70952 5.51673 (254*2π)/10174 weeks
2551.70474 8.51921 (255*2π)/10174 weeks
256-.76942 8.10465 (256*2π)/10174 weeks
257-4.34826 4.31288 (257*2π)/10174 weeks
258-6.37852 2.64486 (258*2π)/10174 weeks
259-4.53043 -.83437 (259*2π)/10174 weeks
260-5.58119 -2.86676 (260*2π)/10174 weeks
261-5.12117 -3.0708 (261*2π)/10174 weeks
262-3.0295 -4.97964 (262*2π)/10174 weeks
263-1.09379 -6.06296 (263*2π)/10174 weeks
2641.69685 -6.1845 (264*2π)/10174 weeks
2655.12588 -4.34061 (265*2π)/10174 weeks
2666.42842 -2.26103 (266*2π)/10174 weeks
2677.57139 -.81303 (267*2π)/10174 weeks
2687.86262 1.84004 (268*2π)/10174 weeks
2694.80471 5.37712 (269*2π)/10174 weeks
2703.57341 7.28894 (270*2π)/10174 weeks
271.36673 7.34214 (271*2π)/10174 weeks
272-2.0846 6.20924 (272*2π)/10174 weeks
273-5.65557 4.55739 (273*2π)/10174 weeks
274-5.91053 4.24129 (274*2π)/10174 weeks
275-5.76198 .30213 (275*2π)/10174 weeks
276-5.33761 -.63318 (276*2π)/10174 weeks
277-2.99339 -2.79103 (277*2π)/10174 weeks
278-1.00249 -3.29611 (278*2π)/10174 weeks
279-.79128 -3.56041 (279*2π)/10174 weeks
280.91819 -4.3424 (280*2π)/10174 weeks
2811.10052 -4.9499 (281*2π)/10174 weeks
2822.74961 -3.57952 (282*2π)/10174 weeks
2835.29541 -3.52464 (283*2π)/10174 weeks
2844.44343 -1.24356 (284*2π)/10174 weeks
2856.55089 -.78684 (285*2π)/10174 weeks
2865.40171 2.68771 (286*2π)/10174 weeks
2872.85138 4.59234 (287*2π)/10174 weeks
2881.82807 5.7619 (288*2π)/10174 weeks
2891.17346 6.00837 (289*2π)/10174 weeks
290-1.38905 4.63563 (290*2π)/10174 weeks
291-2.3961 5.9656 (291*2π)/10173 weeks
292-5.74254 3.15382 (292*2π)/10173 weeks
293-6.8738 1.47704 (293*2π)/10173 weeks
294-7.76387 -2.9498 (294*2π)/10173 weeks
295-5.28755 -5.99124 (295*2π)/10173 weeks
296-.77868 -7.56544 (296*2π)/10173 weeks
2972.50831 -9.28683 (297*2π)/10173 weeks
2986.74441 -7.14192 (298*2π)/10173 weeks
29910.55904 -3.19699 (299*2π)/10173 weeks
30010.16682 .51216 (300*2π)/10173 weeks
3019.88557 4.07299 (301*2π)/10173 weeks
3027.15231 5.17317 (302*2π)/10173 weeks
3035.26839 6.40166 (303*2π)/10173 weeks
3043.41029 7.53614 (304*2π)/10173 weeks
3051.16268 7.61221 (305*2π)/10173 weeks
306-1.57344 7.31681 (306*2π)/10173 weeks
307-2.96388 7.13926 (307*2π)/10173 weeks
308-6.65448 5.10229 (308*2π)/10173 weeks
309-8.328 3.38916 (309*2π)/10173 weeks
310-9.43162 -.78947 (310*2π)/10173 weeks
311-10.29147 -3.69674 (311*2π)/10173 weeks
312-7.00192 -8.30853 (312*2π)/10173 weeks
313-3.40044 -11.02532 (313*2π)/10173 weeks
3142.28019 -11.12383 (314*2π)/10173 weeks
3156.24989 -9.57099 (315*2π)/10173 weeks
31610.14412 -5.09257 (316*2π)/10173 weeks
31712.70088 1.16249 (317*2π)/10173 weeks
31811.27351 6.60118 (318*2π)/10173 weeks
3197.66007 10.1415 (319*2π)/10173 weeks
3201.96826 13.12748 (320*2π)/10173 weeks
321-3.75691 13.03023 (321*2π)/10173 weeks
322-8.05279 8.64836 (322*2π)/10173 weeks
323-10.94545 5.1946 (323*2π)/10173 weeks
324-11.53851 -.62913 (324*2π)/10173 weeks
325-10.22789 -5.26503 (325*2π)/10173 weeks
326-5.7588 -8.32109 (326*2π)/10173 weeks
327-3.48032 -11.41134 (327*2π)/10173 weeks
3281.39783 -10.67434 (328*2π)/10173 weeks
3294.78652 -9.93665 (329*2π)/10173 weeks
3306.594 -6.65607 (330*2π)/10173 weeks
3319.89539 -3.23821 (331*2π)/10173 weeks
3329.12784 -.04222 (332*2π)/10173 weeks
3339.71387 3.77112 (333*2π)/10173 weeks
3347.61304 5.43408 (334*2π)/10173 weeks
3355.54941 7.65034 (335*2π)/10173 weeks
3362.63703 7.69326 (336*2π)/10173 weeks
337-.32902 8.13055 (337*2π)/10173 weeks
338-3.39156 7.03081 (338*2π)/10173 weeks
339-5.45026 4.04372 (339*2π)/10173 weeks
340-6.19618 .88073 (340*2π)/10173 weeks
341-5.82531 -.69281 (341*2π)/10173 weeks
342-4.92488 -2.83606 (342*2π)/10173 weeks
343-4.33008 -3.8464 (343*2π)/10173 weeks
344-2.00859 -4.46004 (344*2π)/10173 weeks
345-.39071 -6.08705 (345*2π)/10173 weeks
3461.80245 -5.28589 (346*2π)/10173 weeks
3474.92627 -4.77162 (347*2π)/10173 weeks
3486.51942 -3.33531 (348*2π)/10173 weeks
3497.30647 -1.38652 (349*2π)/10173 weeks
3507.32336 2.16498 (350*2π)/10173 weeks
3517.5501 4.06248 (351*2π)/10173 weeks
3524.99615 6.46607 (352*2π)/10173 weeks
3533.89927 8.20762 (353*2π)/10173 weeks
354-.55674 8.8604 (354*2π)/10173 weeks
355-4.05 8.305 (355*2π)/10173 weeks
356-5.66813 6.00111 (356*2π)/10173 weeks
357-8.85084 3.64736 (357*2π)/10173 weeks
358-8.7145 .62654 (358*2π)/10173 weeks
359-9.34667 -2.8619 (359*2π)/10173 weeks
360-8.09156 -5.82038 (360*2π)/10173 weeks
361-4.95961 -9.17511 (361*2π)/10173 weeks
362-.84616 -10.2155 (362*2π)/10173 weeks
3633.20109 -9.07988 (363*2π)/10173 weeks
3647.58061 -7.2135 (364*2π)/10173 weeks
3659.99368 -3.21158 (365*2π)/10173 weeks
36610.06247 .21657 (366*2π)/10173 weeks
3679.45325 3.86789 (367*2π)/10173 weeks
3687.21496 6.5149 (368*2π)/10173 weeks
3694.78453 7.89317 (369*2π)/10173 weeks
3701.20204 8.48134 (370*2π)/10173 weeks
371-1.9339 7.87801 (371*2π)/10173 weeks
372-4.25257 5.05047 (372*2π)/10173 weeks
373-5.97691 3.27132 (373*2π)/10173 weeks
374-6.13748 .79316 (374*2π)/10173 weeks
375-7.09789 -1.00222 (375*2π)/10173 weeks
376-5.88661 -3.61807 (376*2π)/10173 weeks
377-3.71655 -6.13686 (377*2π)/10173 weeks
378-.12529 -7.19285 (378*2π)/10173 weeks
3792.4657 -6.92993 (379*2π)/10173 weeks
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734