/* www-ATLAS of Group Representations. M12 represented as 53 x 53 matrices over GF(11). */ F:=GF(11); x:=CambridgeMatrix(3,F,53,\[ 0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 1,7,5,4,7,6,6,10,3,10,5,3,0,10,8,0,9,6,7,9,4,6,9,9,3,1,2,7,10,7,3,3,3,8,5,8,1,3,0,9,5,10,7,7,10,8,3,1,6,0,8,8,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 6,2,3,5,8,6,2,6,3,10,8,10,8,4,2,2,4,0,9,6,9,2,4,1,9,4,8,0,1,3,0,10,8,3,0,1,8,9,2,0,4,6,10,9,9,6,2,5,4,5,7,9,8, 9,1,7,1,10,6,10,7,7,0,2,5,2,1,1,1,9,4,2,3,8,3,1,10,0,2,10,6,10,9,6,7,2,4,0,2,4,9,7,0,10,5,2,6,7,9,2,9,3,4,10,2,9, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 10,3,6,7,5,7,1,4,9,1,1,8,2,5,4,5,3,3,1,9,3,6,8,2,8,6,1,4,1,9,3,5,3,5,7,5,10,2,5,7,4,7,9,5,1,4,10,0,2,1,7,7,6, 5,2,10,1,6,2,9,5,1,1,0,8,3,7,6,5,7,3,9,3,5,8,4,5,7,3,2,5,4,8,4,1,9,1,2,8,3,8,8,7,8,2,4,1,4,3,9,0,2,2,0,10,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 6,10,8,6,3,5,3,5,10,3,4,10,2,3,5,3,6,8,0,8,2,9,7,2,4,3,4,2,10,0,4,6,7,10,3,6,4,0,7,3,9,0,0,10,7,1,2,6,4,5,2,10,7, 9,3,9,10,6,10,7,1,8,8,7,8,0,10,10,1,7,7,9,1,10,3,3,9,7,4,1,7,6,3,3,8,4,7,9,1,4,6,2,6,5,10,10,3,10,2,10,6,0,4,7,8,5, 2,0,1,2,4,5,9,3,0,4,4,8,6,9,4,10,6,8,3,7,6,6,10,8,5,0,6,6,4,10,3,7,8,4,2,4,8,7,1,10,2,10,4,0,3,9,2,8,7,4,5,6,2, 9,2,9,10,4,10,1,0,10,0,8,9,6,2,7,10,6,3,6,9,3,5,7,6,3,5,3,3,9,8,9,2,6,4,6,0,9,0,8,10,9,8,6,6,2,4,10,8,6,10,0,10,0]); G:=MatrixGroup<53,F|x,y>; print "Group G is M12 < GL(53,GF(11))";