/* www-ATLAS of Group Representations. 3.S7 represented as 42 x 42 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,42,[ "010000000000000000000000000000000000000000", "100000000000000000000000000000000000000000", "000010000000000000000000000000000000000000", "000001000000000000000000000000000000000000", "001000000000000000000000000000000000000000", "000100000000000000000000000000000000000000", "000000001000000000000000000000000000000000", "000000000010000000000000000000000000000000", "000000100000000000000000000000000000000000", "000000000000010000000000000000000000000000", "000000010000000000000000000000000000000000", "000000000000000010000000000000000000000000", "000000000000000000100000000000000000000000", "000000000100000000000000000000000000000000", "000000000000000000000100000000000000000000", "001212414010304400300400000000000000000000", "000000000001000000000000000000000000000000", "000222300020302301300100000000000000000000", "000000000000100000000000000000000000000000", "000000000000000000000000001000000000000000", "001100000000000000000040000000000000000000", "000000000000001000000000000000000000000000", "000011000000000000004000000000000000000000", "000000000000000000000000000001000000000000", "004000000000000000000010010000000000000000", "000004000000000000001000100000000000000000", "000000000000000000010000000000000000000000", "000222300020303302300100000000100000000000", "000201400010404400400400000000010000000000", "000000000000000000000001000000000000000000", "000333200030203203200300000100000000000000", "001110400010400400400000000010000000000000", "001211400010404400401440100000004040000000", "000000000000000000000000000000000001000000", "004333200030201200200110410000000010000000", "000000000000000000000000000000000100000000", "000000000404040000000004004004000000001000", "000000000000000000000000000000000000040400", "000000000100010010010001000001000000100000", "000000000000000000000000000000000000000100", "000304100040101100100100000000000000000044", "001311300020304300300400000000000000000001"]); y:=CambridgeMatrix(1,F,42,[ "001000000000000000000000000000000000000000", "000100000000000000000000000000000000000000", "401000000000000000000000000000000000000000", "044400000000000000000000000000000000000000", "000000100000000000000000000000000000000000", "000000010000000000000000000000000000000000", "000000000100000000000000000000000000000000", "000000000001000000000000000000000000000000", "000000000000100000000000000000000000000000", "000000000000001000000000000000000000000000", "000000000000000100000000000000000000000000", "000000000000000001000000000000000000000000", "000000000000000000010000000000000000000000", "000000000000000000001000000000000000000000", "000000000000000000000010000000000000000000", "000000000000000000000001000000000000000000", "000000000000000000000000100000000000000000", "000000000000000000000000010000000000000000", "041222410420304400340404000000000000000000", "000000000000000000000000000100000000000000", "000000000000000000000000000010000000000000", "002422300020302300300240000000000000000000", "330000000000001010000100004000000000000000", "000000000000000000000000000000100000000000", "000000000000000000000000000000010000000000", "020333200030243240200300000004000000000000", "000212300020302300300200100000000000000000", "000000000000000000000000000000001000000000", "000000000000000000000000000000000100000000", "000004000000004000004400400000000000000000", "000000000000000000000000000000000010000000", "000000000000000000000000000000000001000000", "000000000000000000000000000000000000100000", "000000000000000000000000000000000000010000", "000000000000000000000000000000000000001000", "000000000000000000000000000000000000000100", "000000001000000000000000000000000000000000", "000000000000000000000000000000000000000010", "000000000010000000000000000000000000000000", "000000000000000000000000000000000000000001", "000000000000010000000000000000000000000000", "000000000000000010000000000000000000000000"]); G:=MatrixGroup<42,F|x,y>; print "Group G is 3.S7 < GL(42,GF(5))";