/* 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))";