/* 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))";