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Fourier Analysis of AMEN (AMEN PROPERTIES INC)


AMEN (AMEN PROPERTIES INC) appears to have interesting cyclic behaviour every 91 weeks (69.2487*cosine), 84 weeks (63.8684*cosine), and 77 weeks (61.5458*cosine).

AMEN (AMEN PROPERTIES INC) has an average price of 441.45 (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 12/5/2016 for AMEN (AMEN PROPERTIES INC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0441.4499   0 
1315.7069 74.30946 (1*2π)/10021,002 weeks
2228.2314 195.9439 (2*2π)/1002501 weeks
3-54.9874 250.0112 (3*2π)/1002334 weeks
4-108.9867 184.7729 (4*2π)/1002251 weeks
5-160.86 63.74245 (5*2π)/1002200 weeks
6-174.6772 8.08664 (6*2π)/1002167 weeks
7-94.3334 -94.67474 (7*2π)/1002143 weeks
8-53.33856 -90.30889 (8*2π)/1002125 weeks
936.89469 -96.66125 (9*2π)/1002111 weeks
1057.52794 -58.68771 (10*2π)/1002100 weeks
1169.24865 -8.84809 (11*2π)/100291 weeks
1263.86844 -6.46268 (12*2π)/100284 weeks
1361.54575 30.10427 (13*2π)/100277 weeks
1436.5182 25.69371 (14*2π)/100272 weeks
1522.49034 56.06573 (15*2π)/100267 weeks
168.88257 43.17721 (16*2π)/100263 weeks
17-22.50143 37.28 (17*2π)/100259 weeks
18-33.88559 32.4738 (18*2π)/100256 weeks
19-44.30156 -1.92109 (19*2π)/100253 weeks
20-34.02674 -10.84717 (20*2π)/100250 weeks
21-15.24611 -27.18407 (21*2π)/100248 weeks
22-9.64912 -21.66224 (22*2π)/100246 weeks
232.8583 -29.85897 (23*2π)/100244 weeks
2417.81011 -24.63423 (24*2π)/100242 weeks
2521.56579 -21.82162 (25*2π)/100240 weeks
2629.48022 -5.59626 (26*2π)/100239 weeks
2721.8681 12.40681 (27*2π)/100237 weeks
287.90248 1.41426 (28*2π)/100236 weeks
292.05195 -5.19835 (29*2π)/100235 weeks
3016.44586 -6.37417 (30*2π)/100233 weeks
3120.33338 -2.30785 (31*2π)/100232 weeks
3227.4951 4.19929 (32*2π)/100231 weeks
3322.02343 17.11089 (33*2π)/100230 weeks
3420.23252 20.06905 (34*2π)/100229 weeks
3513.60084 28.32346 (35*2π)/100229 weeks
363.0457 25.29827 (36*2π)/100228 weeks
37-6.2196 26.51079 (37*2π)/100227 weeks
38-12.78225 22.91936 (38*2π)/100226 weeks
39-9.78638 8.99968 (39*2π)/100226 weeks
40-15.07811 5.08954 (40*2π)/100225 weeks
41-16.68085 -5.75077 (41*2π)/100224 weeks
42-12.83399 -4.45956 (42*2π)/100224 weeks
43-11.00521 -18.71239 (43*2π)/100223 weeks
441.88877 -20.67813 (44*2π)/100223 weeks
459.23239 -19.63437 (45*2π)/100222 weeks
4619.33932 -14.47593 (46*2π)/100222 weeks
4726.88056 -6.38427 (47*2π)/100221 weeks
4826.4636 9.13498 (48*2π)/100221 weeks
4922.7391 20.45912 (49*2π)/100220 weeks
5010.68272 30.11663 (50*2π)/100220 weeks
51-.77946 26.12012 (51*2π)/100220 weeks
52-13.60804 23.30867 (52*2π)/100219 weeks
53-17.03072 18.79706 (53*2π)/100219 weeks
54-20.28021 5.43999 (54*2π)/100219 weeks
55-22.58209 -.40592 (55*2π)/100218 weeks
56-16.51305 -14.45165 (56*2π)/100218 weeks
57-6.27128 -14.11255 (57*2π)/100218 weeks
58-.17163 -16.18049 (58*2π)/100217 weeks
595.14374 -17.13828 (59*2π)/100217 weeks
608.98773 -12.85035 (60*2π)/100217 weeks
6118.64744 -10.85366 (61*2π)/100216 weeks
6226.3282 3.19346 (62*2π)/100216 weeks
6322.87688 12.11716 (63*2π)/100216 weeks
6415.68672 20.10489 (64*2π)/100216 weeks
657.4119 27.46823 (65*2π)/100215 weeks
66-1.39639 17.89434 (66*2π)/100215 weeks
67-8.83487 17.21158 (67*2π)/100215 weeks
68-11.98744 5.9938 (68*2π)/100215 weeks
69-9.65511 -3.34872 (69*2π)/100215 weeks
70-5.46109 -9.79595 (70*2π)/100214 weeks
712.21397 -12.57506 (71*2π)/100214 weeks
7211.51245 -8.87105 (72*2π)/100214 weeks
7313.62278 -1.39385 (73*2π)/100214 weeks
7416.71319 6.64474 (74*2π)/100214 weeks
7510.93806 11.56332 (75*2π)/100213 weeks
763.1119 20.39268 (76*2π)/100213 weeks
77-.90985 16.51678 (77*2π)/100213 weeks
78-4.56187 12.36246 (78*2π)/100213 weeks
79-8.33543 7.06116 (79*2π)/100213 weeks
80-6.85217 6.57346 (80*2π)/100213 weeks
81-7.17995 .07858 (81*2π)/100212 weeks
82-6.47876 -4.02051 (82*2π)/100212 weeks
831.24903 -2.47518 (83*2π)/100212 weeks
844.37454 -2.61528 (84*2π)/100212 weeks
855.63917 5.89251 (85*2π)/100212 weeks
863.23223 8.04073 (86*2π)/100212 weeks
87-2.12141 9.84032 (87*2π)/100212 weeks
88-3.68941 7.0555 (88*2π)/100211 weeks
89-5.5907 8.53364 (89*2π)/100211 weeks
90-12.00299 3.12649 (90*2π)/100211 weeks
91-11.44348 -.46894 (91*2π)/100211 weeks
92-9.82901 -5.9452 (92*2π)/100211 weeks
93-3.99003 -11.56995 (93*2π)/100211 weeks
941.86662 -11.76668 (94*2π)/100211 weeks
955.20329 -9.27048 (95*2π)/100211 weeks
9611.36618 -6.36938 (96*2π)/100210 weeks
9711.74041 -1.30623 (97*2π)/100210 weeks
9812.12456 4.74735 (98*2π)/100210 weeks
998.48852 8.97937 (99*2π)/100210 weeks
1003.47013 12.40892 (100*2π)/100210 weeks
101-1.3739 12.03247 (101*2π)/100210 weeks
102-2.75916 10.71817 (102*2π)/100210 weeks
103-4.66998 8.52397 (103*2π)/100210 weeks
104-6.12554 4.61659 (104*2π)/100210 weeks
105-6.80551 1.6711 (105*2π)/100210 weeks
106-6.91603 -1.91679 (106*2π)/10029 weeks
107-3.86158 -2.58665 (107*2π)/10029 weeks
108-3.45234 -5.72054 (108*2π)/10029 weeks
109-.03885 -3.81216 (109*2π)/10029 weeks
1102.12058 -4.84121 (110*2π)/10029 weeks
1111.98353 -2.4598 (111*2π)/10029 weeks
1123.29058 -2.8348 (112*2π)/10029 weeks
113.56996 -3.54668 (113*2π)/10029 weeks
1142.08458 -2.5027 (114*2π)/10029 weeks
1155.28922 -2.47015 (115*2π)/10029 weeks
1167.76038 2.81725 (116*2π)/10029 weeks
1174.89401 5.65642 (117*2π)/10029 weeks
1182.13419 9.05182 (118*2π)/10028 weeks
119-.66206 5.1118 (119*2π)/10028 weeks
120-3.88067 4.46494 (120*2π)/10028 weeks
121-1.15691 2.89662 (121*2π)/10028 weeks
122-2.5058 .86898 (122*2π)/10028 weeks
123-3.29542 1.27529 (123*2π)/10028 weeks
124-2.69219 -.02249 (124*2π)/10028 weeks
125.15525 -1.00911 (125*2π)/10028 weeks
126-2.17941 -2.26566 (126*2π)/10028 weeks
1271.74745 -3.55021 (127*2π)/10028 weeks
1284.50549 -6.92939 (128*2π)/10028 weeks
1296.2662 -2.64418 (129*2π)/10028 weeks
13010.36531 1.99079 (130*2π)/10028 weeks
1318.11262 5.1993 (131*2π)/10028 weeks
1326.27089 9.18683 (132*2π)/10028 weeks
1333.47625 12.31099 (133*2π)/10028 weeks
134-.55478 9.35318 (134*2π)/10027 weeks
135-7.19047 7.94279 (135*2π)/10027 weeks
136-5.6854 1.78341 (136*2π)/10027 weeks
137-2.62165 -1.98273 (137*2π)/10027 weeks
138-.1841 -1.18934 (138*2π)/10027 weeks
139.23397 .78395 (139*2π)/10027 weeks
140-.12194 3.42122 (140*2π)/10027 weeks
141-2.58188 2.47879 (141*2π)/10027 weeks
142-2.34713 2.42678 (142*2π)/10027 weeks
143-.87321 -1.09638 (143*2π)/10027 weeks
144-3.9649 -2.58731 (144*2π)/10027 weeks
1452.27285 -4.71288 (145*2π)/10027 weeks
1463.94415 -5.63553 (146*2π)/10027 weeks
1477.07451 -2.16843 (147*2π)/10027 weeks
1486.06552 2.32705 (148*2π)/10027 weeks
1494.33202 5.00209 (149*2π)/10027 weeks
150.81642 5.79554 (150*2π)/10027 weeks
151-2.56176 7.11755 (151*2π)/10027 weeks
152-2.31385 3.61879 (152*2π)/10027 weeks
153-6.32427 4.49869 (153*2π)/10027 weeks
154-6.01261 3.85162 (154*2π)/10027 weeks
155-6.43107 .53624 (155*2π)/10026 weeks
156-8.04396 -1.53344 (156*2π)/10026 weeks
157-5.9793 -3.8611 (157*2π)/10026 weeks
158-4.0285 -6.67299 (158*2π)/10026 weeks
159-1.78993 -8.71159 (159*2π)/10026 weeks
1602.82318 -7.38016 (160*2π)/10026 weeks
1616.12573 -8.03845 (161*2π)/10026 weeks
1627.64327 -3.99671 (162*2π)/10026 weeks
1638.37104 .44066 (163*2π)/10026 weeks
1647.0426 2.01313 (164*2π)/10026 weeks
1654.72766 4.52332 (165*2π)/10026 weeks
1662.57313 4.24729 (166*2π)/10026 weeks
1672.86249 4.80613 (167*2π)/10026 weeks
168.57343 4.69133 (168*2π)/10026 weeks
169-.85377 4.35112 (169*2π)/10026 weeks
170-1.99838 3.04197 (170*2π)/10026 weeks
171-2.87222 1.8503 (171*2π)/10026 weeks
172-3.08623 .84269 (172*2π)/10026 weeks
173-2.54346 -.88 (173*2π)/10026 weeks
174-1.25924 -2.1686 (174*2π)/10026 weeks
175.78325 -2.33016 (175*2π)/10026 weeks
176-1.16967 -2.41886 (176*2π)/10026 weeks
177-.11995 -2.29482 (177*2π)/10026 weeks
178-.69944 -2.32725 (178*2π)/10026 weeks
1791.44935 -1.84787 (179*2π)/10026 weeks
1803.40378 -1.06024 (180*2π)/10026 weeks
1812.86934 .39046 (181*2π)/10026 weeks
1824.56758 1.73022 (182*2π)/10026 weeks
1833.46376 4.13448 (183*2π)/10025 weeks
184.321 5.80132 (184*2π)/10025 weeks
185-1.79056 6.92367 (185*2π)/10025 weeks
186-3.86555 3.85182 (186*2π)/10025 weeks
187-6.12554 1.28133 (187*2π)/10025 weeks
188-5.61178 -1.98695 (188*2π)/10025 weeks
189-2.8902 -2.50325 (189*2π)/10025 weeks
190-1.89617 -4.1727 (190*2π)/10025 weeks
191-.77835 -2.85314 (191*2π)/10025 weeks
192-.47519 -3.22448 (192*2π)/10025 weeks
193-.08754 -3.08727 (193*2π)/10025 weeks
194-.90585 -4.96501 (194*2π)/10025 weeks
1952.48813 -6.13118 (195*2π)/10025 weeks
1966.57541 -5.32112 (196*2π)/10025 weeks
19710.314 -2.94385 (197*2π)/10025 weeks
19813.14593 4.42507 (198*2π)/10025 weeks
1999.01755 6.16329 (199*2π)/10025 weeks
2003.2018 10.74999 (200*2π)/10025 weeks
201-.73315 9.43813 (201*2π)/10025 weeks
202-3.48283 7.85185 (202*2π)/10025 weeks
203-8.0129 5.73506 (203*2π)/10025 weeks
204-7.00966 2.38436 (204*2π)/10025 weeks
205-5.09412 -1.18433 (205*2π)/10025 weeks
206-3.85862 -3.40535 (206*2π)/10025 weeks
207-2.90718 -1.95661 (207*2π)/10025 weeks
208-1.19444 -3.3935 (208*2π)/10025 weeks
209-.89535 -5.1904 (209*2π)/10025 weeks
2103.49825 -3.84505 (210*2π)/10025 weeks
2114.82178 -4.67957 (211*2π)/10025 weeks
2126.2673 -2.70842 (212*2π)/10025 weeks
2139.01918 -.04327 (213*2π)/10025 weeks
2147.28716 1.72956 (214*2π)/10025 weeks
2156.35786 6.07055 (215*2π)/10025 weeks
2162.42986 8.25242 (216*2π)/10025 weeks
217.59168 7.07673 (217*2π)/10025 weeks
218-3.13268 5.99757 (218*2π)/10025 weeks
219-3.41404 4.20567 (219*2π)/10025 weeks
220-4.66621 3.97409 (220*2π)/10025 weeks
221-5.29378 2.12146 (221*2π)/10025 weeks
222-4.55022 -.51414 (222*2π)/10025 weeks
223-3.56404 -.937 (223*2π)/10024 weeks
224-2.14443 -3.5939 (224*2π)/10024 weeks
225-1.92997 -4.25766 (225*2π)/10024 weeks
226.04334 -4.99773 (226*2π)/10024 weeks
2272.67177 -3.9772 (227*2π)/10024 weeks
2284.61992 -2.29545 (228*2π)/10024 weeks
2295.58798 -.69498 (229*2π)/10024 weeks
2306.35462 2.29397 (230*2π)/10024 weeks
2313.72309 4.62143 (231*2π)/10024 weeks
2324.41988 5.91336 (232*2π)/10024 weeks
233.51349 3.92927 (233*2π)/10024 weeks
234.90343 4.28905 (234*2π)/10024 weeks
235.23498 2.8611 (235*2π)/10024 weeks
2361.58838 3.01907 (236*2π)/10024 weeks
237.58062 1.33126 (237*2π)/10024 weeks
238-2.11524 3.15795 (238*2π)/10024 weeks
239-1.82588 1.52271 (239*2π)/10024 weeks
240-2.17976 1.08166 (240*2π)/10024 weeks
241-3.21479 -.30071 (241*2π)/10024 weeks
242-4.17576 -1.95701 (242*2π)/10024 weeks
243-.82838 -2.96163 (243*2π)/10024 weeks
244-1.41897 -5.03175 (244*2π)/10024 weeks
2451.22925 -4.06025 (245*2π)/10024 weeks
2463.28801 -4.63392 (246*2π)/10024 weeks
2474.40979 -3.45945 (247*2π)/10024 weeks
2487.53835 -1.28149 (248*2π)/10024 weeks
2497.50731 2.12123 (249*2π)/10024 weeks
2506.13104 4.94328 (250*2π)/10024 weeks
2513.32685 8.69539 (251*2π)/10024 weeks
252-.23257 7.71072 (252*2π)/10024 weeks
253-5.363 5.3227 (253*2π)/10024 weeks
254-6.59358 3.80099 (254*2π)/10024 weeks
255-5.82734 -.79842 (255*2π)/10024 weeks
256-6.70807 -1.72067 (256*2π)/10024 weeks
257-5.16828 -2.19262 (257*2π)/10024 weeks
258-3.26099 -4.79441 (258*2π)/10024 weeks
259-1.24812 -5.9951 (259*2π)/10024 weeks
2601.77464 -6.34677 (260*2π)/10024 weeks
2615.57617 -4.86895 (261*2π)/10024 weeks
2626.95398 -2.66263 (262*2π)/10024 weeks
2637.98526 -1.13172 (263*2π)/10024 weeks
2648.29843 1.76662 (264*2π)/10024 weeks
2655.27148 5.77821 (265*2π)/10024 weeks
2663.96833 7.69604 (266*2π)/10024 weeks
267.49774 7.78174 (267*2π)/10024 weeks
268-2.10329 6.56174 (268*2π)/10024 weeks
269-5.87618 4.58216 (269*2π)/10024 weeks
270-6.44581 4.24074 (270*2π)/10024 weeks
271-6.03816 .12117 (271*2π)/10024 weeks
272-5.84423 -.99876 (272*2π)/10024 weeks
273-3.26304 -2.90878 (273*2π)/10024 weeks
274-1.11085 -3.14941 (274*2π)/10024 weeks
275-.81545 -3.62266 (275*2π)/10024 weeks
2761.23261 -4.04209 (276*2π)/10024 weeks
2771.95709 -5.18487 (277*2π)/10024 weeks
2783.04203 -3.8033 (278*2π)/10024 weeks
2796.18677 -2.73934 (279*2π)/10024 weeks
2805.04984 -1.39595 (280*2π)/10024 weeks
2817.74976 .30948 (281*2π)/10024 weeks
2826.15471 3.18661 (282*2π)/10024 weeks
2833.26098 4.02805 (283*2π)/10024 weeks
2841.22865 5.2048 (284*2π)/10024 weeks
285-.02753 6.48617 (285*2π)/10024 weeks
286-1.18881 4.64941 (286*2π)/10024 weeks
287-4.12143 5.98643 (287*2π)/10023 weeks
288-5.90287 2.40304 (288*2π)/10023 weeks
289-7.82859 -.0147 (289*2π)/10023 weeks
290-7.09204 -5.31993 (290*2π)/10023 weeks
291-4.50842 -8.68113 (291*2π)/10023 weeks
292-.90392 -8.82923 (292*2π)/10023 weeks
2934.49026 -9.59243 (293*2π)/10023 weeks
2948.28178 -7.29312 (294*2π)/10023 weeks
29510.04 -1.6943 (295*2π)/10023 weeks
2969.61671 1.59255 (296*2π)/10023 weeks
2977.29786 5.75646 (297*2π)/10023 weeks
2985.73879 6.97111 (298*2π)/10023 weeks
2993.94772 8.02559 (299*2π)/10023 weeks
3001.40921 8.9581 (300*2π)/10023 weeks
301-.82046 9.34231 (301*2π)/10023 weeks
302-2.79372 8.26024 (302*2π)/10023 weeks
303-6.00745 8.494 (303*2π)/10023 weeks
304-7.55583 5.63423 (304*2π)/10023 weeks
305-10.01215 2.41326 (305*2π)/10023 weeks
306-9.52611 -.77704 (306*2π)/10023 weeks
307-8.5876 -6.79824 (307*2π)/10023 weeks
308-4.8361 -9.67278 (308*2π)/10023 weeks
309.96024 -11.55293 (309*2π)/10023 weeks
3105.81704 -9.79782 (310*2π)/10023 weeks
31111.21564 -6.62533 (311*2π)/10023 weeks
31214.52627 -1.70916 (312*2π)/10023 weeks
31313.27767 4.60744 (313*2π)/10023 weeks
3149.40496 9.48418 (314*2π)/10023 weeks
3154.56376 13.51404 (315*2π)/10023 weeks
316-1.57117 13.70273 (316*2π)/10023 weeks
317-7.77837 9.90955 (317*2π)/10023 weeks
318-10.60025 6.39113 (318*2π)/10023 weeks
319-12.40258 .3179 (319*2π)/10023 weeks
320-11.19849 -4.66367 (320*2π)/10023 weeks
321-7.01238 -9.08554 (321*2π)/10023 weeks
322-5.05252 -11.3191 (322*2π)/10023 weeks
323.81515 -11.33119 (323*2π)/10023 weeks
3244.28473 -10.441 (324*2π)/10023 weeks
3257.11756 -6.77849 (325*2π)/10023 weeks
32610.7355 -4.00135 (326*2π)/10023 weeks
32710.0397 -.14754 (327*2π)/10023 weeks
32810.86259 3.44119 (328*2π)/10023 weeks
3298.33683 5.46503 (329*2π)/10023 weeks
3306.21175 7.86378 (330*2π)/10023 weeks
3312.93425 8.06908 (331*2π)/10023 weeks
332-.17665 8.62404 (332*2π)/10023 weeks
333-3.45946 7.49283 (333*2π)/10023 weeks
334-5.67242 4.32087 (334*2π)/10023 weeks
335-6.40404 .92456 (335*2π)/10023 weeks
336-6.00682 -.79453 (336*2π)/10023 weeks
337-4.94759 -3.09551 (337*2π)/10023 weeks
338-4.36031 -4.35515 (338*2π)/10023 weeks
339-2.04336 -4.81699 (339*2π)/10023 weeks
340.00156 -6.56392 (340*2π)/10023 weeks
3412.02843 -5.76011 (341*2π)/10023 weeks
3425.35574 -4.66341 (342*2π)/10023 weeks
3437.21611 -3.00791 (343*2π)/10023 weeks
3448.22469 -1.04781 (344*2π)/10023 weeks
3457.51516 2.48202 (345*2π)/10023 weeks
3467.78487 5.23024 (346*2π)/10023 weeks
3475.01225 7.08576 (347*2π)/10023 weeks
3483.43549 9.71189 (348*2π)/10023 weeks
349-.86066 9.45122 (349*2π)/10023 weeks
350-4.80338 8.15466 (350*2π)/10023 weeks
351-6.23844 6.4315 (351*2π)/10023 weeks
352-8.99478 2.54712 (352*2π)/10023 weeks
353-9.06136 -.05477 (353*2π)/10023 weeks
354-8.74123 -4.32948 (354*2π)/10023 weeks
355-7.37658 -7.90531 (355*2π)/10023 weeks
356-3.2522 -10.79231 (356*2π)/10023 weeks
3571.3234 -11.54777 (357*2π)/10023 weeks
3584.90736 -10.4599 (358*2π)/10023 weeks
3598.86962 -7.09356 (359*2π)/10023 weeks
36010.1243 -2.40295 (360*2π)/10023 weeks
36110.09773 1.19828 (361*2π)/10023 weeks
3628.39797 5.02714 (362*2π)/10023 weeks
3635.56551 7.38012 (363*2π)/10023 weeks
3642.63975 9.18076 (364*2π)/10023 weeks
365-.85334 9.00023 (365*2π)/10023 weeks
366-4.46599 7.58925 (366*2π)/10023 weeks
367-5.44519 5.45371 (367*2π)/10023 weeks
368-6.57736 2.5341 (368*2π)/10023 weeks
369-6.45641 .75176 (369*2π)/10023 weeks
370-6.41537 -2.89629 (370*2π)/10023 weeks
371-5.09954 -5.75897 (371*2π)/10023 weeks
372-2.09531 -7.87911 (372*2π)/10023 weeks
373.93559 -7.52507 (373*2π)/10023 weeks
3743.42619 -6.72678 (374*2π)/10023 weeks
3756.68311 -3.92085 (375*2π)/10023 weeks
3767.69555 -2.41087 (376*2π)/10023 weeks
3778.27877 .67454 (377*2π)/10023 weeks
3787.40831 4.75328 (378*2π)/10023 weeks
3794.6524 6.76951 (379*2π)/10023 weeks
380.83955 8.04013 (380*2π)/10023 weeks
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