/* www-ATLAS of Group Representations. 3.McL represented as 126 x 126 matrices over GF(49). */ F:=GF(49); x:=CambridgeMatrix(3,F,126,\[ 0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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atrixGroup<126,F|x,y>; print "Group G is 3.McL < GL(126,GF(49))";