/* www-ATLAS of Group Representations. L3(3):2 represented as 52 x 52 matrices over GF(13). */ F:=GF(13); x:=CambridgeMatrix(3,F,52,\[ 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, 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, 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0, 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, 3,6,3,5,11,5,11,1,4,12,8,0,6,10,4,11,3,5,9,1,5,11,10,6,5,5,1,9,1,5,3,2,1,6,3,12,4,0,11,2,2,0,12,3,1,4,6,1,3,1,11,2, 0,0,6,6,3,1,12,11,10,11,10,6,1,8,12,10,3,12,3,8,6,2,2,3,0,4,10,3,11,12,3,10,4,11,6,7,3,6,1,8,11,1,8,9,0,4,6,6,3,5,4,10, 3,2,3,7,11,4,11,10,6,7,11,10,8,9,11,3,4,7,1,5,11,5,4,0,1,3,5,7,9,3,7,12,7,0,12,8,9,3,5,6,2,1,2,5,9,2,5,11,8,2,6,5, 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, 2,0,5,12,3,12,7,9,9,5,4,0,6,10,9,0,4,1,0,9,7,0,3,6,0,9,3,6,4,4,4,7,12,5,10,8,11,7,0,1,5,12,12,5,10,7,1,3,9,6,1,12, 1,11,12,11,9,4,3,8,12,12,11,0,4,9,2,5,1,4,1,1,12,0,8,6,9,0,1,0,4,11,12,9,8,10,7,12,5,2,6,10,9,8,0,12,5,5,5,7,2,7,2,8, 2,1,12,7,7,4,1,12,2,6,7,10,9,9,11,8,7,6,0,5,10,5,8,6,2,3,6,9,4,6,8,6,11,9,6,6,7,9,12,11,10,7,11,6,6,9,2,0,4,7,2,11, 5,7,10,8,3,0,0,8,8,1,11,4,3,4,8,6,9,0,4,6,3,7,8,10,1,9,8,10,2,4,5,10,5,11,9,12,5,8,4,12,11,10,11,3,10,7,7,10,2,12,4,5, 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, 0,8,2,9,9,10,11,6,6,12,10,3,8,2,7,9,9,12,11,8,3,5,9,6,11,5,1,1,8,5,3,7,6,11,12,1,1,12,4,2,10,8,1,3,0,2,4,12,2,10,11,7, 3,5,11,5,3,4,12,2,12,8,8,9,7,12,11,10,11,9,11,0,8,4,6,2,12,9,7,7,3,11,5,6,7,0,9,5,8,9,7,8,6,8,6,5,1,8,3,6,7,10,5,12, 5,10,11,1,2,3,3,5,0,3,0,9,0,2,0,1,7,12,1,10,4,11,6,4,7,4,6,8,6,2,11,3,12,2,9,3,3,11,2,8,6,12,5,6,7,10,0,8,9,0,6,7, 10,4,2,10,0,10,5,0,3,2,11,6,1,8,4,4,10,12,5,6,0,5,10,10,8,10,10,7,10,5,10,4,6,9,8,11,7,2,5,11,3,2,11,2,9,10,0,0,11,0,10,6, 9,8,10,8,8,0,12,9,8,7,0,7,7,10,9,10,3,11,3,10,9,1,1,5,7,1,4,7,8,4,0,1,0,7,1,6,3,8,2,10,9,0,5,9,11,0,2,10,7,7,9,9, 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, 10,8,11,9,3,12,7,6,2,10,9,8,7,3,4,4,3,9,5,1,3,9,9,10,8,5,3,7,1,10,8,1,8,12,4,9,6,7,7,5,4,9,2,1,3,8,4,7,0,9,4,12, 4,8,11,11,5,7,3,4,6,0,2,8,9,4,8,1,3,2,0,0,8,10,2,9,9,12,1,10,3,5,3,9,3,9,11,10,11,2,0,9,7,3,8,7,11,3,1,6,10,10,10,0]); G:=MatrixGroup<52,F|x,y>; print "Group G is L3(3):2 < GL(52,GF(13))";