/* www-ATLAS of Group Representations. 3.U6(2) represented as 462 x 462 matrices over GF(25). */ F:=GF(25); x:=CambridgeMatrix(3,F,462,\[ 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0,2,0,11,9,8,3,10,5,5,5,15,18,16,22,10,13,0,18,23,20,15,7,18,18,10,3,8,9,6,3,11,12,12,7,16,10,11,7,2,19,0,20,23,22,12,13,20,4,24,8,10,22,22,12,9,9,13,1,6,22,2,19,9,13,7,10,9,2,12,20,11,0,6,6,21,3,24,24,5,6,14,22,15,15,17,19,19,22,9,5,5,24,15,16,9,4,1,11,24,11,19,22,4,19,20,1,19,24,23,10,21,4,8,10,24,12,8,9,14,8,14,4,19,18,5,4,8,16,12,7,6,9,20,7,6,17,14,4,9,0,10,8,2,18,12,9,15,20,19,22,0,15,23,19,2,6,8,16,15,9,19,17,22,18,19,5,23,13,1,20,3,13,9,10,23,14,9,16,11,23,22,23,21,21,24,18,15,3,19,13,24,13,2,8,23,24,14,4,21,5,11,10,11,12,2,5,13,11,16,5,1,9,7,3,12,20,2,11,18,2,20,17,10,16,3,7,8,17,18,2,20,6,1,15,13,22,2,9,1,10,23,12,0,6,13,6,21,15,17,20,6,7,11,7,13,4,15,5,1,21,20,13,19,16,2,8,20,10,20,15,8,9,16,6,12,24,21,10,1,1,23,17,20,2,0,20,22,12,4,15,15,5,1,19,18,8,12,22,5,21,13,2,1,2,12,22,22,20,4,13,1,13,4,13,6,21,12,23,11,24,12,2,4,7,1,11,22,13,16,9,2,0,8,24,20,9,2,16,22,12,0,4,23,14,6,12,14,4,15,1,4,11,23,12,2,24,6,4,8,16,16,18,19,15,19,23,14,11,18,6,23,2,18,24,2,17,23,23,1,19,4,10,4,7,23,21,19,2,14,2,19,1,8,23,11,23,20,16,22,10,20,14,3,16,9,10,21,5,6,12,22,24,8,9,7,15,10,15,4,3,4,6,11,11,5,24,23,8,22,9,8,5,22,2,6,21,6,6,1,1,18,3,9,19,20,18,18,9,22,7,8,22,0,0,0,0,0,0,0,0,0, 0,7,0,8,13,11,22,12,15,0,22,4,19,21,9,20,0,19,13,23,16,23,4,18,12,14,10,2,9,23,3,12,22,18,22,22,17,2,17,16,13,12,20,21,4,7,16,18,3,6,9,11,0,24,24,14,9,22,22,13,0,13,19,1,14,0,0,15,2,18,24,6,9,7,11,17,6,9,10,2,2,13,15,4,5,21,0,4,8,16,19,4,11,10,9,11,9,8,21,8,10,13,12,23,7,5,10,5,10,3,15,12,23,21,21,21,3,3,8,13,13,22,10,14,22,3,0,3,5,7,22,11,24,14,4,7,21,15,24,6,13,14,10,18,18,10,18,3,8,14,23,19,15,15,9,15,15,1,14,19,10,24,6,12,7,1,12,2,7,10,15,20,6,0,20,24,23,13,9,4,2,24,14,12,23,14,24,19,6,15,24,16,22,9,14,7,4,18,0,10,9,20,7,9,11,0,21,13,2,19,3,9,21,1,9,16,19,20,20,5,20,2,11,1,14,13,0,7,14,17,8,7,21,10,5,18,10,8,22,20,16,23,19,2,16,20,14,15,7,14,5,2,19,5,11,23,6,12,19,19,2,23,8,10,1,11,3,8,0,9,23,11,9,20,17,18,13,1,5,24,12,8,4,3,5,12,4,7,12,6,18,15,0,23,22,9,22,12,21,19,6,4,7,21,1,11,18,22,18,1,12,11,16,19,7,15,14,6,21,19,6,24,3,14,20,0,24,5,9,16,1,15,14,17,8,1,19,12,10,20,8,4,19,5,18,5,23,17,10,10,14,14,12,12,8,14,16,16,20,14,6,15,10,19,3,14,10,18,23,19,5,13,21,22,23,1,3,22,15,0,3,10,8,12,8,24,24,15,0,6,11,3,11,16,22,21,17,4,17,18,10,18,15,1,9,7,11,9,2,13,9,3,14,8,23,1,3,7,0,14,22,10,15,6,10,8,24,13,8,17,11,20,2,8,3,8,3,7,12,12,24,11,22,11,14,18,21,6,12,0,1,19,11,0,0,0,0,0,0,0,0,0, 0,6,0,13,20,6,6,16,18,0,5,14,23,4,8,14,8,10,6,9,19,11,2,11,7,2,20,22,6,3,23,5,18,23,19,17,19,24,3,13,0,7,20,3,20,15,4,5,23,1,14,11,5,0,16,24,22,6,17,7,4,2,1,8,24,10,6,12,8,14,4,19,24,21,22,24,24,20,17,17,8,4,0,14,20,22,15,2,1,15,5,10,16,17,21,9,7,0,14,13,5,9,10,20,13,11,18,16,6,11,16,13,0,5,9,20,13,19,9,12,20,2,3,8,6,22,18,11,7,12,22,23,18,3,12,9,15,23,0,8,23,21,8,24,20,6,10,2,19,6,13,14,5,18,23,23,24,21,11,7,6,8,1,1,22,19,13,7,9,8,8,5,1,21,14,23,13,3,15,24,17,21,6,23,7,19,19,2,12,21,19,2,6,0,16,1,13,19,18,18,18,21,2,1,20,4,2,18,3,15,19,22,16,1,22,16,17,6,2,5,0,18,9,23,22,19,12,6,19,10,17,19,24,16,14,9,0,20,4,6,5,20,13,5,11,4,2,16,7,8,23,7,14,18,2,20,6,5,16,21,8,15,9,20,4,7,5,0,20,22,6,8,17,5,4,2,3,24,8,9,4,16,15,9,20,15,21,10,11,12,0,12,15,3,15,12,18,2,22,2,1,15,1,23,24,21,1,16,8,16,6,6,7,14,2,18,14,5,15,17,5,3,15,16,19,2,5,1,22,12,19,18,9,6,4,13,3,20,24,16,1,9,20,16,11,15,20,19,12,4,12,5,17,1,16,17,8,8,16,4,5,3,20,3,5,3,16,14,19,1,3,13,3,6,14,22,19,8,19,4,12,8,22,17,24,13,15,22,19,22,2,22,17,19,14,18,20,13,22,18,20,7,23,14,10,3,24,15,1,20,1,11,3,8,18,6,2,17,22,1,19,6,13,0,1,12,13,13,6,7,6,12,13,3,3,23,7,12,7,2,2,1,12,6,22,20,21,5,4,18,13,7,23,0,0,0,0,0,0,0,0,0, 0,1,0,11,24,15,7,6,5,3,13,8,18,22,6,18,13,24,6,10,0,22,23,20,7,7,2,17,22,10,19,19,23,4,8,12,20,21,22,5,0,19,16,9,22,23,16,23,2,13,0,3,16,16,5,11,3,4,17,8,18,18,14,14,1,6,3,19,7,23,0,15,17,21,14,8,1,12,13,0,15,22,6,12,22,6,7,17,2,6,10,15,4,1,24,21,15,12,12,3,23,15,0,10,23,4,13,22,2,10,23,9,20,10,24,6,19,5,14,3,1,21,19,17,18,1,14,23,23,5,15,22,12,23,13,7,6,14,13,16,8,8,16,18,22,11,5,8,11,3,6,22,20,2,10,18,18,17,3,3,2,22,13,14,6,19,1,2,4,10,18,4,0,24,12,20,7,4,5,10,16,8,17,5,13,6,21,5,14,13,2,8,19,17,14,15,19,14,24,23,21,19,12,8,21,18,2,20,3,22,21,17,19,9,19,19,21,4,11,24,1,2,7,3,10,21,4,21,19,18,21,20,16,10,13,20,4,18,5,18,13,7,0,17,7,6,16,22,2,0,23,14,23,19,20,2,11,6,9,2,9,15,4,2,9,11,9,4,13,4,4,11,23,1,0,12,13,24,22,11,7,6,0,8,14,19,20,17,24,19,16,14,22,21,1,7,0,16,24,5,7,9,15,13,23,8,7,4,0,8,24,20,23,5,19,8,14,7,13,9,2,21,24,9,3,16,14,21,8,22,7,5,11,13,10,1,17,9,21,6,5,13,18,6,7,8,23,17,4,5,4,12,20,12,10,0,10,11,6,18,13,17,19,10,9,6,0,8,17,0,24,11,22,1,19,11,17,23,20,20,24,10,14,14,3,22,4,0,17,16,21,1,3,21,6,23,8,12,5,0,16,9,21,5,7,15,22,15,1,0,0,16,12,21,23,5,0,8,23,0,20,0,20,7,20,7,8,21,10,18,8,20,15,23,16,1,1,23,13,15,12,0,22,24,8,24,18,9,15,17,12,3,2,0,0,0,0,0,0,0,0,0, 0,9,0,16,7,1,22,9,8,22,10,18,14,3,15,5,23,21,19,13,14,23,3,14,12,19,11,12,17,17,3,1,10,13,2,16,16,0,5,2,19,18,21,0,18,19,11,24,13,13,20,18,0,19,4,0,9,9,9,11,1,3,19,24,24,21,21,17,2,17,10,8,19,13,14,14,13,18,24,17,15,15,2,20,24,9,22,7,6,8,7,0,21,20,19,19,10,3,22,22,9,17,12,0,16,22,10,12,15,14,1,5,5,21,21,9,22,12,9,5,1,4,13,9,7,10,10,1,2,12,13,12,3,23,21,14,10,19,4,1,19,22,24,9,9,10,14,1,16,18,15,11,18,3,12,4,10,8,21,1,9,17,19,9,18,7,6,10,10,2,24,9,1,10,9,24,6,18,9,1,3,23,7,1,17,1,1,19,18,9,1,5,13,12,8,13,14,7,22,24,21,18,24,11,8,19,20,21,24,11,18,3,5,15,5,22,23,1,19,20,0,3,14,18,14,6,23,14,6,6,16,8,17,9,12,20,4,18,17,1,14,24,2,18,14,12,21,21,13,0,19,11,13,20,4,20,19,1,12,19,12,2,1,7,23,19,6,15,9,0,0,19,9,2,5,19,14,5,8,11,12,13,8,1,7,10,3,5,13,16,5,8,4,21,6,11,13,19,22,5,17,16,9,3,17,12,11,17,21,24,23,23,7,12,3,1,6,23,23,24,2,10,19,8,0,11,18,1,7,21,15,16,21,18,22,1,10,8,7,18,3,7,23,6,6,18,15,5,7,24,7,19,0,18,9,7,5,17,4,18,5,18,20,13,18,18,11,1,18,8,16,22,10,5,8,22,17,14,20,14,20,6,2,12,12,15,17,7,21,17,6,23,18,10,0,22,19,9,21,10,14,5,11,24,15,4,24,5,4,10,11,4,21,17,4,9,9,15,24,7,18,8,10,11,1,1,11,15,6,8,23,4,17,7,3,5,22,8,8,0,17,16,7,3,1,18,15,20,17,8,3,6,24,0,0,0,0,0,0,0,0,0, 0,14,0,12,16,3,15,0,14,19,14,4,14,9,9,2,11,11,0,19,24,2,4,16,20,10,7,17,22,0,23,21,1,14,8,22,16,15,14,9,1,8,0,5,2,15,7,12,12,19,3,9,13,13,11,0,15,8,0,8,20,2,6,2,15,5,8,24,18,7,17,1,8,7,4,15,13,14,18,4,24,15,18,8,11,11,15,20,0,1,23,22,6,0,19,8,10,0,8,9,22,15,1,13,0,22,5,17,18,19,9,23,22,3,22,9,6,1,2,12,22,23,7,16,17,11,0,23,10,13,18,17,16,11,19,15,22,10,19,20,19,20,22,14,18,7,0,2,6,13,17,24,10,22,20,8,10,4,8,11,23,17,15,1,0,3,14,9,6,2,17,7,12,22,17,15,11,8,1,11,0,23,10,13,21,15,5,19,9,5,23,21,18,21,9,2,11,8,22,10,3,19,24,22,15,17,4,5,14,18,0,15,19,15,10,0,4,9,7,8,14,4,1,17,10,14,19,24,18,16,19,6,21,22,9,24,7,14,19,1,19,23,23,13,14,1,7,16,4,1,8,20,24,10,22,15,5,1,10,16,7,2,19,18,12,23,7,5,9,18,1,21,1,22,14,18,13,24,6,23,20,21,23,0,0,14,7,3,19,1,16,5,23,1,23,4,5,23,9,10,3,12,8,21,8,12,16,2,3,23,15,21,3,12,5,15,2,13,21,9,19,16,4,20,13,7,0,17,6,17,9,10,0,7,11,19,8,16,23,18,10,0,3,23,18,24,13,17,22,17,15,24,12,6,8,7,17,4,24,8,9,9,16,4,3,20,5,15,13,18,11,15,2,16,4,12,20,24,12,21,14,8,14,11,19,19,12,9,7,4,21,4,22,8,24,14,9,24,2,4,1,11,21,6,11,5,11,17,5,1,21,7,15,10,5,4,1,9,14,20,11,23,7,5,8,22,14,18,17,21,0,12,5,21,2,10,23,21,2,19,13,24,5,2,20,2,12,16,2,16,16,8,22,0,0,0,0,0,0,0,0,0, 0,2,0,9,22,13,21,15,24,0,17,8,12,0,3,16,13,20,18,6,21,15,1,14,10,20,10,11,3,12,15,7,23,23,9,22,20,4,14,11,5,2,4,21,7,10,5,10,6,3,14,11,3,16,2,8,8,16,0,15,2,16,9,3,8,6,19,3,24,1,13,11,11,18,0,24,2,14,5,6,3,23,11,16,2,14,21,6,21,24,13,16,10,22,1,2,24,6,19,17,15,20,6,0,16,11,23,12,13,1,2,3,4,10,10,11,14,2,7,24,21,23,3,24,17,6,1,17,12,24,16,10,16,0,23,16,7,12,21,23,15,10,7,11,11,6,3,14,24,14,18,24,22,4,4,20,0,17,19,13,18,13,11,15,8,19,14,3,0,17,16,8,10,9,18,14,8,15,9,13,1,3,12,22,6,11,16,24,13,7,2,16,22,10,4,24,12,20,13,2,20,10,3,2,24,6,0,17,10,19,13,8,22,8,16,1,11,3,22,24,2,7,19,3,3,20,5,3,11,1,12,18,6,2,18,3,22,4,0,24,18,3,22,12,6,13,9,3,0,10,5,3,11,23,2,14,16,18,22,16,11,18,6,6,11,9,22,12,20,13,5,13,19,10,4,11,7,8,17,4,7,11,2,13,21,9,16,16,3,3,24,2,9,20,15,2,1,21,18,23,14,24,11,12,8,8,15,2,12,13,15,0,11,5,19,16,21,5,3,22,11,7,17,21,11,23,11,3,24,22,0,15,10,13,5,14,20,13,24,4,24,11,21,22,4,21,22,2,3,9,8,13,23,3,2,5,13,23,21,12,4,15,19,1,2,18,12,2,9,0,15,13,20,13,6,6,15,9,5,8,7,24,24,9,7,3,3,18,4,17,18,4,19,7,12,6,17,23,8,7,11,7,16,23,10,21,6,9,22,24,11,21,1,22,24,23,22,19,16,8,4,15,10,1,17,20,20,20,8,9,21,24,20,21,6,19,18,1,10,2,24,15,24,5,16,1,0,8,12,19,20,23,7,0,0,0,0,0,0,0,0,0, 0,1,0,7,22,13,3,4,11,13,20,15,9,3,22,13,24,11,7,0,4,9,14,7,11,11,1,15,3,7,7,16,4,0,18,21,0,17,16,7,23,23,19,16,2,12,11,19,5,18,10,18,2,22,5,9,3,18,5,16,20,10,22,9,14,0,7,9,1,11,6,9,16,1,11,20,16,12,7,13,5,10,12,8,21,13,10,10,17,20,23,2,24,12,19,2,12,0,21,11,9,24,22,14,16,4,18,16,4,0,12,13,7,18,21,9,24,23,9,1,4,2,10,17,15,3,16,23,2,24,10,14,19,23,12,13,6,14,23,17,17,12,16,8,12,19,24,24,3,15,22,18,20,9,16,11,1,22,17,5,13,15,19,21,0,5,8,21,3,13,16,23,2,8,20,5,0,18,18,18,18,2,10,6,6,5,12,7,10,19,4,0,18,21,15,21,24,3,3,18,18,15,22,13,23,4,17,14,7,12,14,1,11,4,14,1,17,4,11,6,23,8,0,23,6,13,15,0,4,16,1,5,10,15,6,13,9,4,8,16,10,5,12,21,8,21,16,22,18,18,0,1,16,7,16,8,3,14,23,17,19,8,0,17,0,4,7,22,3,6,18,1,5,19,19,21,3,15,19,8,0,18,3,14,6,1,12,6,16,17,2,17,3,15,2,2,2,13,5,4,12,19,13,19,16,12,5,14,17,3,16,24,19,20,21,8,8,2,9,3,18,14,12,23,0,16,8,16,2,5,2,12,9,23,2,9,17,10,8,7,0,0,24,7,19,9,3,8,17,18,0,15,5,20,14,20,12,23,14,12,10,22,20,10,7,24,2,9,7,2,20,20,6,11,10,3,20,21,18,9,0,1,6,13,2,9,11,4,13,22,22,1,1,17,7,19,2,8,8,19,2,1,23,10,12,0,1,8,20,15,17,12,21,24,15,12,20,5,1,4,6,0,10,13,2,7,1,6,21,5,12,1,11,8,8,4,17,1,11,24,3,6,20,12,16,0,8,3,0,11,6,21,9,0,0,0,0,0,0,0,0,0, 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0,16,0,23,6,10,15,13,19,5,20,19,2,14,15,18,9,0,7,19,14,1,17,14,24,13,4,21,9,8,2,20,12,6,10,17,20,20,12,16,23,14,0,2,12,23,1,12,3,22,14,10,12,14,15,12,21,0,4,0,1,21,19,20,5,21,22,15,21,4,24,2,4,23,23,1,18,16,6,8,1,14,6,21,15,1,20,2,5,24,24,12,8,10,5,15,13,9,17,21,10,16,7,5,15,6,20,11,0,23,23,0,2,16,15,20,20,17,19,4,13,14,15,22,0,2,3,11,3,19,2,15,17,4,3,20,8,17,24,13,23,2,6,24,5,23,1,12,24,15,4,2,8,4,20,7,0,12,22,15,13,5,13,2,3,20,10,22,11,14,0,10,5,5,19,20,8,19,6,13,21,14,8,19,2,16,5,20,23,7,24,15,16,0,19,24,3,9,3,6,20,20,21,15,6,15,15,17,0,5,1,4,21,4,22,5,20,9,12,18,8,16,15,14,4,3,13,9,24,21,19,18,18,16,22,13,10,14,5,1,9,13,22,9,16,2,14,18,6,11,2,22,6,3,14,6,16,24,8,11,9,2,19,20,8,24,5,0,24,1,4,2,13,11,20,21,4,3,2,10,22,18,9,21,20,11,6,23,23,21,6,13,9,5,23,20,3,0,21,2,24,8,21,20,4,14,13,10,4,24,10,22,22,22,8,9,11,5,6,2,4,13,16,19,9,21,0,4,19,21,14,6,1,18,2,3,19,4,13,24,24,4,19,13,22,20,10,10,15,7,11,4,14,10,16,16,12,3,10,4,16,2,21,9,22,10,7,2,0,7,11,23,6,0,23,12,14,19,2,18,10,3,7,24,21,6,24,2,17,14,2,18,20,23,14,9,22,8,12,8,7,20,19,24,5,3,12,9,12,3,19,0,9,8,13,4,8,24,6,18,16,1,20,13,15,14,13,15,6,13,22,13,12,19,4,22,4,14,11,5,3,3,7,12,13,11,22,2,6,17,8,8,22,0,0,0,0,0,0,0,0,0, 0,13,0,10,16,3,22,14,1,18,13,15,23,8,9,4,1,10,3,21,15,6,12,24,6,24,24,19,10,20,13,14,3,20,24,16,21,3,17,4,6,21,21,11,7,3,11,10,24,3,12,19,23,5,22,6,0,22,11,19,0,19,4,7,20,6,24,20,4,18,3,17,17,1,0,11,19,15,10,1,18,20,5,17,24,9,7,10,1,23,4,1,8,7,16,2,5,3,8,22,16,7,0,14,4,22,18,15,23,2,19,18,16,16,9,13,15,11,8,7,17,20,10,24,19,4,1,17,0,11,6,16,12,6,15,13,13,21,15,11,7,8,5,13,1,21,1,3,13,22,14,24,20,9,9,3,19,2,18,11,6,10,8,19,13,9,7,19,16,17,5,19,14,0,8,17,17,16,5,22,24,15,24,20,19,20,8,0,10,14,3,10,22,19,10,18,22,14,7,24,5,2,15,5,10,1,6,12,20,0,18,15,4,6,17,16,18,9,6,6,22,0,10,12,13,12,14,24,12,0,6,3,22,11,5,8,24,24,3,7,2,16,16,8,10,3,3,2,23,20,3,22,1,21,6,1,19,2,18,23,0,18,9,18,14,4,9,22,19,19,20,4,9,12,17,24,23,16,19,21,10,11,16,3,1,15,8,19,11,0,6,8,23,23,10,21,12,19,11,7,11,19,1,12,20,24,14,15,16,9,11,24,14,5,5,17,19,3,5,10,7,5,0,21,18,11,15,5,14,17,11,7,7,21,11,22,6,20,24,8,3,11,8,7,3,12,21,14,12,21,5,4,11,19,16,16,0,23,5,14,16,21,1,8,12,23,18,18,0,6,21,24,23,21,1,19,15,24,14,14,7,10,12,15,11,14,0,6,9,22,13,12,12,19,16,1,19,14,23,18,9,13,11,11,18,11,24,16,1,8,10,24,3,15,10,24,22,8,4,0,24,10,17,9,9,12,20,9,17,20,5,9,3,9,5,21,16,9,22,11,5,16,15,6,24,6,14,3,19,4,21,15,10,0,0,0,0,0,0,0,0,0, 0,14,0,8,19,21,11,23,15,7,13,4,0,6,24,14,24,12,9,18,2,5,7,6,7,2,2,12,10,23,2,18,14,23,17,5,9,3,13,4,15,17,6,8,14,3,12,20,17,7,23,20,5,22,12,7,12,20,15,22,19,20,10,14,8,21,8,21,21,20,7,14,12,8,23,9,9,12,20,5,21,21,8,20,13,8,9,22,4,22,10,9,4,21,4,16,23,18,21,12,15,11,4,23,1,23,18,24,24,2,18,4,23,21,9,5,2,7,14,11,12,4,9,11,14,24,22,19,9,8,5,2,5,18,15,21,6,23,14,14,4,3,9,3,4,8,17,14,9,11,6,9,2,21,4,17,20,10,4,22,19,1,4,19,17,17,7,13,19,4,11,11,15,18,1,3,10,17,24,24,3,8,9,3,11,13,20,12,3,15,11,11,15,7,5,4,16,8,16,2,16,7,5,1,8,3,8,11,3,24,11,24,20,3,16,11,5,0,8,8,3,8,0,7,9,24,4,19,6,23,23,16,21,0,2,2,15,24,17,13,5,19,12,1,11,11,24,16,21,13,8,2,1,20,15,8,17,9,17,14,4,18,19,1,15,23,7,18,12,15,3,6,11,7,12,8,15,2,4,11,11,24,13,8,11,9,12,1,19,23,10,4,17,12,0,14,21,19,20,18,1,20,6,16,23,15,17,0,5,17,5,3,1,10,10,11,18,19,9,13,9,23,1,3,18,19,19,3,2,17,4,0,16,17,17,8,22,18,19,3,20,3,16,14,14,1,16,9,20,1,13,8,21,6,6,21,2,11,24,18,14,0,19,1,14,1,8,2,23,7,23,9,1,8,11,21,8,16,13,2,24,7,18,1,6,18,16,16,2,0,23,14,21,17,14,18,14,15,18,11,0,16,20,15,14,22,24,8,15,0,6,4,18,1,19,0,3,19,9,20,17,16,18,1,23,16,19,0,5,24,24,3,9,17,18,12,23,4,13,3,4,3,20,17,22,24,22,0,18,4,7,2,3,0,0,0,0,0,0,0,0,0, 0,16,0,2,8,17,24,15,13,9,16,20,13,14,21,19,16,16,21,7,11,2,24,7,17,1,3,11,7,20,22,12,2,22,4,15,23,20,11,17,21,6,8,15,23,5,19,18,2,1,4,0,5,22,21,24,17,7,3,12,3,1,3,4,10,24,18,10,20,24,4,24,0,23,4,10,5,24,15,4,19,22,2,6,23,1,10,14,21,17,2,16,20,4,12,10,7,18,17,7,7,16,3,21,9,7,17,2,19,22,12,9,0,19,9,2,2,21,23,11,9,4,18,22,3,10,1,9,1,24,16,15,15,11,21,14,5,8,2,16,13,19,16,3,14,13,14,20,1,12,6,12,17,1,0,8,2,13,24,18,22,22,8,0,23,4,2,13,5,18,18,22,18,13,11,20,12,23,22,14,22,1,20,24,1,6,2,10,11,14,2,6,13,7,24,3,5,22,21,20,21,2,14,7,22,5,24,16,20,3,15,12,23,18,15,12,24,6,9,4,4,15,3,21,0,21,22,17,21,24,20,17,2,18,7,4,8,12,13,24,22,21,9,9,1,7,18,16,23,11,1,18,16,10,24,22,22,19,14,16,6,14,12,5,12,1,12,13,8,19,7,16,5,0,10,20,19,24,0,10,11,14,22,20,6,17,14,5,4,9,13,6,18,14,1,22,9,12,2,8,12,12,1,9,11,10,6,11,22,23,21,16,5,13,9,16,2,13,15,11,0,3,14,0,18,15,5,4,3,19,8,17,2,13,3,21,23,4,8,5,14,0,16,19,11,14,1,11,9,23,23,22,0,19,22,18,11,21,22,7,16,17,4,9,23,15,17,9,20,13,3,10,2,14,16,20,12,20,0,5,3,10,14,23,8,15,9,5,20,21,20,23,23,0,13,10,2,20,9,6,14,3,21,17,0,23,22,6,10,11,15,3,9,13,6,23,15,9,11,20,10,21,9,12,20,0,23,16,11,3,1,21,4,0,7,22,9,9,1,1,8,2,8,0,2,20,3,4,21,13,0,3,2,0,0,0,0,0,0,0,0,0, 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0,3,0,14,4,14,22,7,22,18,11,3,3,23,5,13,22,6,3,16,7,16,2,20,1,19,2,9,9,14,1,10,2,13,1,12,12,7,6,20,15,0,3,6,8,14,11,14,18,9,9,15,14,11,5,21,14,0,17,3,2,1,24,19,22,12,9,4,17,22,1,16,4,18,0,20,7,9,2,16,5,24,4,5,2,4,9,9,12,1,8,20,19,24,17,14,23,9,9,12,22,10,0,14,11,5,1,4,0,15,24,4,7,21,6,21,16,13,2,8,17,5,3,20,12,16,2,12,18,18,8,23,14,21,13,8,13,22,1,19,14,19,24,20,24,20,18,0,19,5,20,19,14,18,19,1,12,9,14,2,8,5,18,1,14,15,13,13,20,0,1,21,1,9,13,24,11,15,2,24,24,8,23,9,24,24,7,22,5,22,10,6,8,12,0,11,3,14,11,8,21,2,18,4,0,9,15,0,1,23,5,8,5,11,16,16,17,15,10,2,0,18,17,19,5,6,12,19,2,9,19,18,4,15,3,24,5,6,7,19,15,11,22,7,19,3,19,6,22,11,12,9,20,4,3,8,5,5,0,16,19,23,21,21,2,20,4,12,12,20,1,14,15,10,13,21,0,19,11,21,16,23,12,9,6,9,0,20,1,18,5,6,3,14,0,24,11,13,14,13,7,11,22,20,11,1,17,10,4,9,4,3,6,0,14,7,11,2,21,6,3,12,9,20,4,17,18,0,4,17,7,14,9,3,15,9,22,8,10,2,8,20,19,15,17,7,23,2,20,1,21,18,24,0,4,15,11,16,14,15,11,11,13,1,22,9,3,0,5,10,4,6,3,13,23,22,7,2,20,20,22,4,2,19,3,3,23,14,9,1,22,20,4,6,7,2,12,4,13,19,9,9,5,4,11,24,13,13,12,12,14,12,10,24,24,21,10,21,13,11,10,10,18,21,8,1,1,4,2,12,8,7,14,22,7,0,14,23,18,17,14,13,5,16,6,0,0,10,1,3,0,20,5,0,0,0,0,0,0,0,0,0, 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0,0,0,5,22,13,5,13,3,20,7,12,10,21,12,24,8,6,15,3,14,15,0,18,21,1,16,7,13,19,9,0,0,13,8,1,8,6,20,10,20,13,24,4,10,2,6,3,17,9,21,7,14,21,15,19,0,1,17,0,9,2,17,22,0,0,24,16,13,1,5,17,2,8,0,7,9,2,1,5,6,18,10,16,22,24,11,3,14,12,11,7,17,4,22,17,12,7,17,18,9,10,24,7,1,5,22,13,12,24,1,15,15,3,14,18,6,15,21,3,20,7,5,16,12,19,9,3,1,2,16,2,1,10,14,4,14,18,14,24,0,20,5,19,20,7,3,5,17,3,3,11,12,17,7,0,11,13,8,20,6,9,24,18,24,8,6,16,4,10,21,5,9,5,11,7,13,9,4,13,10,4,3,20,11,10,2,12,13,14,2,19,21,11,18,15,4,23,24,14,0,17,10,7,18,11,1,10,21,22,19,2,12,20,4,3,19,11,0,9,22,19,13,13,5,7,24,3,5,17,10,5,15,2,7,17,4,5,20,5,21,4,8,15,11,15,19,7,6,16,18,5,20,7,6,18,12,6,10,22,20,18,10,13,24,17,14,17,9,21,6,21,15,4,4,15,10,4,5,19,1,12,9,0,14,17,20,17,4,8,17,21,23,6,14,23,13,4,18,9,23,3,8,16,7,3,12,1,20,23,8,2,1,17,11,14,23,3,11,14,6,22,7,22,19,1,14,8,6,4,6,14,2,14,24,11,10,20,22,5,13,1,1,6,4,11,18,15,2,15,23,20,8,17,10,18,16,8,5,10,12,22,17,5,8,11,5,23,16,10,5,0,4,16,16,10,15,23,9,19,16,15,19,13,15,5,4,24,15,7,19,18,12,6,5,7,18,8,13,14,6,6,9,10,11,15,23,4,23,20,21,22,22,4,12,9,9,22,17,3,15,10,3,22,21,22,18,20,17,24,11,12,9,23,13,9,15,16,19,4,4,4,1,19,21,16,18,16,11,20,5,20,5,0,0,0,0,0,0,0,0,0, 0,11,0,0,7,1,20,5,0,2,1,15,19,18,9,3,3,20,17,8,15,3,19,21,23,2,18,18,1,7,22,5,13,18,17,10,19,3,2,7,9,5,18,21,0,4,11,22,5,8,21,22,12,0,10,1,9,13,19,5,11,4,16,16,21,9,2,19,11,10,23,20,21,4,15,24,10,3,10,15,23,0,24,2,16,6,18,7,18,14,10,17,10,9,7,8,6,2,18,7,6,15,9,6,4,15,11,23,0,11,16,12,15,2,4,0,11,19,13,16,6,12,2,9,3,17,9,9,18,22,11,3,14,1,17,23,16,22,19,13,10,11,8,14,8,22,12,23,21,16,10,22,21,18,21,19,24,15,5,12,16,13,21,23,14,21,1,5,5,14,23,19,11,15,8,1,13,13,15,12,1,23,20,14,16,8,10,17,20,12,1,21,13,22,13,5,14,8,21,1,0,10,14,22,14,4,15,19,3,19,6,14,20,20,3,10,13,21,24,5,3,8,16,5,10,23,13,19,1,15,1,13,8,6,17,0,10,18,13,12,14,3,15,15,24,15,5,11,11,7,17,13,18,18,23,13,21,21,9,5,5,4,4,10,19,23,3,20,0,12,14,17,11,15,11,0,5,14,10,9,3,4,18,2,2,18,17,24,9,13,13,14,5,13,5,5,4,22,2,11,10,24,21,10,4,0,9,14,13,4,14,1,14,21,6,11,3,19,13,3,1,2,9,9,6,8,8,24,6,11,21,17,23,24,4,21,11,6,4,19,18,3,2,15,5,0,17,3,15,4,13,3,21,23,13,17,22,18,16,0,21,19,19,23,18,10,23,4,0,22,6,7,21,16,12,2,8,4,7,7,20,24,14,20,7,10,22,4,21,5,20,3,4,14,4,4,3,21,19,12,18,9,14,2,6,20,11,11,1,20,24,8,0,19,10,7,1,15,15,22,15,7,12,13,4,13,16,10,16,1,5,10,20,14,22,21,19,0,0,5,18,9,18,24,12,8,4,18,20,18,18,16,14,0,0,0,0,0,0,0,0,0, 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0,0,0,0,0,0,0,0,0,0,11,24,24,22,24,19,1,18,8,12,4,1,18,9,22,18,20,22,19,2,0,6,2,6,20,9,16,1,21,12,6,14,3,24,20,4,20,2,18,3,12,15,13,9,6,3,19,24,9,17,17,8,17,24,18,19,10,19,9,10,2,11,20,6,18,2,16,3,10,18,14,8,13,3,24,1,18,17,2,3,14,7,8,12,2,19,15,16,12,4,1,9,21,16,22,19,7,11,10,13,13,9,11,19,19,3,23,5,4,5,0,24,3,22,15,22,2,10,5,15,10,8,17,1,0,4,19,12,3,12,6,10,19,15,5,11,7,19,5,17,13,20,13,22,16,24,15,24,9,19,7,5,7,6,2,1,17,22,9,20,20,6,17,15,21,11,22,5,4,19,5,2,9,6,19,14,9,9,5,9,2,9,11,23,13,22,9,14,2,4,5,4,13,2,12,14,3,1,5,8,19,18,20,5,9,12,3,11,8,10,24,14,9,1,21,1,13,14,15,24,5,15,21,2,3,23,18,21,7,8,6,7,14,22,13,13,1,3,2,21,8,22,8,0,24,12,8,5,6,3,11,20,5,13,11,10,14,5,24,16,9,19,9,8,12,9,19,13,18,3,8,19,4,12,24,4,24,8,22,15,23,12,24,18,4,15,10,15,4,7,17,12,9,12,16,4,8,6,0,6,21,11,19,0,11,17,20,22,7,1,1,8,10,8,2,14,18,20,5,2,24,18,14,15,0,6,8,1,7,4,19,20,11,9,22,8,5,21,19,0,20,0,21,22,18,14,11,1,19,24,17,0,17,24,19,9,11,20,7,18,7,4,10,20,4,14,12,10,11,18,9,24,17,8,7,9,1,5,4,3,4,8,18,24,1,8,14,15,20,8,17,15,4,13,13,6,13,12,15,23,4,15,3,12,20,11,18,8,7,4,5,23,18,17,1,21,20,6,16,3,21,14,23,5,3,8,2,15,6,3,21,14,14,5,19,8,15,20,10,10,11,17,21,3,6,5,23,21,17,21,19,9, 0,0,0,0,0,0,0,0,0,0,14,13,10,14,19,24,16,17,19,18,13,14,17,22,6,12,3,4,21,5,6,15,17,22,18,22,6,14,20,9,19,4,10,5,4,10,8,9,12,12,21,6,10,4,4,0,0,19,2,10,23,1,2,21,13,15,2,12,3,5,3,20,1,7,23,12,15,16,2,16,0,21,12,9,4,4,8,7,21,3,7,18,16,6,12,11,6,3,7,15,24,17,15,4,14,23,10,12,8,20,21,11,22,13,0,10,8,20,10,7,20,18,19,13,13,24,2,8,22,0,2,8,6,20,19,4,16,19,2,11,1,17,15,18,12,16,24,8,3,5,12,5,16,17,19,7,21,24,19,23,15,8,7,23,20,14,24,15,3,15,23,0,24,24,13,7,1,23,16,22,9,0,13,21,16,18,4,6,9,12,11,12,22,23,10,21,23,22,16,18,13,18,14,13,3,24,24,22,11,15,23,2,7,17,16,18,21,9,8,5,23,16,6,15,16,11,6,1,3,9,21,6,6,18,17,19,0,22,18,21,3,17,3,22,12,15,21,2,13,12,1,19,21,7,0,11,5,11,9,3,7,8,13,7,18,23,3,13,4,17,5,8,22,15,8,16,21,12,12,4,20,8,15,11,11,16,4,18,0,10,23,10,21,0,19,2,16,6,24,0,8,21,13,10,15,9,19,2,12,24,10,12,2,7,13,24,4,0,2,11,8,3,5,11,9,6,14,6,1,13,8,13,7,20,8,6,5,7,22,21,10,1,16,20,22,8,16,12,8,23,15,18,23,19,8,13,17,15,12,17,3,19,16,7,21,0,0,9,4,14,4,12,21,16,17,0,9,4,0,23,12,13,22,3,20,24,23,11,1,8,7,11,11,21,22,9,20,14,11,0,13,14,4,11,3,19,15,18,18,24,3,6,16,13,24,16,4,7,19,12,10,1,3,7,9,14,0,6,11,12,7,1,17,5,16,21,0,2,14,13,8,0,23,6,4,3,11,2,4,4,2,3,1,14,14,8,8,9,0,11,21,17, 0,0,0,0,0,0,0,0,0,0,4,22,2,10,24,21,21,20,22,14,4,17,24,0,0,21,0,6,15,15,22,14,3,0,24,2,24,11,17,9,1,14,18,11,6,15,9,7,2,23,22,11,22,4,24,19,14,1,1,12,8,16,9,3,21,1,13,24,22,12,22,11,20,21,4,14,23,19,7,3,22,2,24,12,13,16,12,8,13,21,16,6,13,5,6,2,3,12,22,10,11,15,18,9,24,14,23,8,4,17,2,21,19,18,24,17,7,22,4,8,12,3,11,22,18,15,9,8,19,18,24,6,8,13,10,11,20,12,24,0,4,2,11,15,21,4,23,12,12,8,9,2,2,11,13,0,21,11,0,13,16,21,20,2,24,18,5,22,4,18,7,17,0,7,3,16,9,11,9,9,0,24,2,13,3,11,12,8,20,15,4,2,3,2,18,19,18,24,4,17,5,16,23,0,18,2,5,23,9,10,19,17,8,9,6,10,18,5,5,18,23,21,8,4,5,7,9,10,19,13,10,1,13,8,24,9,23,0,22,17,1,15,17,8,15,8,4,6,24,2,11,1,6,21,0,16,9,8,14,21,5,1,1,20,15,20,8,13,18,7,24,18,14,19,23,9,0,17,21,23,14,6,13,17,10,0,20,18,12,15,7,19,16,22,14,3,15,13,18,23,16,20,6,24,20,15,3,23,21,3,19,2,21,3,7,12,13,19,20,20,22,4,22,5,4,17,3,23,21,5,22,21,2,10,18,17,20,5,17,6,13,12,6,19,0,14,22,22,22,23,20,16,21,11,1,8,5,23,21,23,21,6,10,4,1,10,10,5,5,14,24,18,7,10,23,20,24,11,2,8,15,5,2,6,15,2,23,24,5,7,23,12,19,3,8,24,24,21,24,17,11,5,22,18,24,17,24,23,3,12,22,18,13,12,2,10,17,12,9,20,6,18,16,10,8,12,16,21,7,2,10,7,4,21,0,15,15,19,16,1,23,20,23,8,0,11,24,8,21,3,7,7,4,19,5,23,24,21,7,19,18,16, 0,0,0,0,0,0,0,0,0,0,4,22,19,7,3,1,2,16,4,16,19,3,15,15,20,18,18,22,9,6,3,23,13,23,19,7,19,0,16,8,7,16,15,20,23,15,14,16,2,22,15,21,20,4,9,9,0,14,3,7,2,5,6,9,2,5,18,19,11,13,12,24,5,5,24,15,24,11,20,11,7,2,15,23,11,6,6,15,9,13,0,18,5,2,0,11,5,1,16,8,4,4,10,21,0,12,24,9,19,21,21,18,5,8,6,13,1,9,21,16,15,5,16,8,16,20,22,24,11,10,21,12,21,24,19,22,15,14,11,23,16,10,11,7,10,20,5,4,21,22,16,23,20,24,17,22,19,7,23,16,6,9,22,15,14,24,19,14,19,6,10,15,3,14,23,9,3,20,15,16,22,14,19,14,5,3,23,18,21,21,18,1,16,12,15,14,21,23,4,16,8,0,20,24,10,24,20,19,3,3,9,0,16,21,3,20,21,18,13,23,12,20,20,1,4,18,12,2,16,21,0,13,0,20,21,15,15,6,23,21,8,18,5,20,24,18,15,24,6,19,11,19,12,19,3,10,23,19,3,18,0,13,6,21,19,7,24,19,2,21,22,9,4,23,2,24,3,17,22,23,12,15,21,4,17,14,19,12,17,24,12,5,3,17,22,6,6,14,1,15,6,2,21,1,22,1,17,22,3,24,17,24,17,13,7,9,17,1,24,2,24,23,18,7,21,0,20,17,6,3,3,18,6,22,10,21,13,3,11,15,24,1,7,0,16,11,0,19,11,22,15,10,4,9,1,16,22,16,7,18,4,13,20,24,1,19,4,11,14,24,7,12,16,4,17,9,10,3,0,24,18,2,13,23,1,15,14,7,12,2,3,2,4,14,19,20,7,0,5,9,5,9,14,4,1,2,5,15,20,23,0,23,6,6,9,6,16,11,20,16,13,8,7,17,4,5,13,4,23,12,14,8,17,7,0,14,11,18,24,7,20,11,22,18,5,24,8,11,19,0,11,12,8,13,10,17,9,17,8,3,3,10]); G:=MatrixGroup<462,F|x,y>; print "Group G is 3.U6(2) < GL(462,GF(25))";